Split (1)

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https://hal.inria.fr/hal-01194670	# A Markov Chain Algorithm for determining Crossing Times through nested Graphs Abstract : According to the by now established theory developed in order to define a Laplacian or ― equivalently ― a Brownian motion on a nested fractal, one has to solve certain renormalization problems. In this paper, we present a Markov...	2022-07-04 03:58:27	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal academic abstract and citation information for a research paper, and it presents information in a straightforwar...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Graph Theory and Fractal Geometry ## Rationale The text mentions a "problem" to be solved, specifically "renormalization problems" related to defining a Laplacian o...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a research paper abstract and metadata, and does not contain any explicit verification steps. The text describes the theory and methodology of a...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be an abstract and metadata for a research paper about a Markov Chain Algorithm for determining Crossing Times through nested Graphs. There ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a formal academic abstract and citation information for a research paper. The language used is technical and descriptive,...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal academic abstract and citation information for a research paper, and it presents information in a straightforward and linear manner without any indication of the author re-evaluating or abandoning a line of thought to try a different approach....	no	<count>0</count>	The provided text appears to be a formal academic abstract and citation information for a research paper. The language used is technical and descriptive, outlining the purpose and context of the research. There is no evidence of backward-chaining behavior, where the writer starts with a goal and works backward to achie...	no	<count>0</count>.	The provided text appears to be a research paper abstract and metadata, and does not contain any explicit verification steps. The text describes the theory and methodology of a Markov chain algorithm, but does not include any calculations, comparisons, or checks that would indicate verification of the results. The focu...	yes	yes	math	Graph Theory and Fractal Geometry	The text mentions a "problem" to be solved, specifically "renormalization problems" related to defining a Laplacian or Brownian motion on a nested fractal. The solution is presented as a "Markov chain algorithm" for determining crossing times through nested graphs. The language and terminology used, such as "Laplacian"...
https://www.collabra.org/articles/10.1525/collabra.119/	A- A+ Alt. Display # Relating Attentional Biases for Stimuli Associated with Social Reward and Punishment to Autistic Traits ## Abstract Evidence for impaired attention to social stimuli in autism has been mixed. The role of social feedback in shaping attention to other, non-social stimuli that are predictive of suc...	2019-03-20 21:23:30	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 1, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text is a we...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) Psychology ## Text domain (specific) Autism and Attentional Biases ## Rationale The text discusses the relationship between autistic traits and attentional biases towards stimuli associated with ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of a calc...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a resea...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward chaining behavior. Backward chaining involves working towards a goal by starting from the goal and working backward to...	no	<count>0</count>.	The provided text does not exhibit any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text is a well-structured academic article that presents a clear introduction, methods, and results without any indication of the writer changi...	no	<count>0</count>	The text does not exhibit backward chaining behavior. Backward chaining involves working towards a goal by starting from the goal and working backward to determine the necessary steps to achieve it. In this text, the authors present a research study on the relationship between attentional biases and autistic traits, an...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of a calculation. The text appears to be a research paper discussing the relationship between attentional biases and autistic traits, and it presents the...	yes	yes	Psychology	Autism and Attentional Biases	The text discusses the relationship between autistic traits and attentional biases towards stimuli associated with social outcomes. It presents a study that examines how individuals with autistic traits respond to social feedback and whether this response is related to their attentional biases. The study finds that aut...
https://kerodon.net/tag/0077/comments	# Kerodon $\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$ Go back to the page of Proposition 1.4.5.13. Comment #197 by Eye on Typo: in the last sentence of the proof of (a), $f_{0,\gamma}$, $f_{\beta,\gamma}$, and $f_{0,\beta}$ need to be replaced by $f_{\gamma,0}$, $f_{\gamma,\beta}$, and $f_{\beta...	2022-08-18 10:51:36	{"extraction_info": {"found_math": true, "script_math_tex": 12, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The text provided appears to be a series of comments on a mathematical text, with users pointing out typos and errors, and the author responding with thanks. There is no evidence of backtra...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Category Theory, specifically $\infty$-Categories ## Rationale The text contains comments from various users pointing out typos and errors in a mathematical proof, ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a collection of comments on a mathematical text, with users pointing out typos and suggesting corrections. While the comments do involve discuss...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a collection of comments on a mathematical text, with users pointing out typos and suggesting corrections. While the comments do contain ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text does not exhibit backward-chaining behavior. The comments are primarily focused on pointing out typos, errors, and suggesting correctio...	no	<count>0</count>.	The text provided appears to be a series of comments on a mathematical text, with users pointing out typos and errors, and the author responding with thanks. There is no evidence of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The comments are ...	no	<count>0</count>	The provided text does not exhibit backward-chaining behavior. The comments are primarily focused on pointing out typos, errors, and suggesting corrections, and do not involve working towards a goal by starting from the goal and working backward. The conversation is primarily a series of corrections and acknowledgments...	no	<count>0</count>.	The provided text appears to be a collection of comments on a mathematical text, with users pointing out typos and suggesting corrections. While the comments do involve discussions of mathematical concepts and notation, there is no explicit verification of calculations or results by comparing them to known values. The ...	yes	yes	math	Category Theory, specifically $\infty$-Categories	The text contains comments from various users pointing out typos and errors in a mathematical proof, along with corrections and acknowledgments from the author ("Kerodon"). The discussion involves technical mathematical concepts, such as transfinite composition, coproduct, and $\infty$-categories, indicating that the t...
https://www.ideals.illinois.edu/handle/2142/104541	## Files in this item FilesDescriptionFormat application/vnd.openxmlformats-officedocument.presentationml.presentation 1349459.pptx (7MB) PresentationMicrosoft PowerPoint 2007 application/pdf 3677.pdf (18kB) AbstractPDF ## Description Title: HIGH-RESOLUTION ROTATIONAL SPECTROSCOPY AND COHERENT CONTROL OF CaH+ A...	2021-01-19 14:35:37	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal academic abstract that presents a coherent and linear description of a research project, its methodology, and it...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Quantum Physics and Molecular Spectroscopy ## Rationale The text appears to be a research paper or presentation on quantum physics and molecular spectroscopy, spe...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by checking the result of a ca...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a scien...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided is a scientific abstract describing a research study on high-resolution rotational spectroscopy and coherent control of CaH+. The autho...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal academic abstract that presents a coherent and linear description of a research project, its methodology, and its findings. There are no instances where the writer abandons a thought or approach and explicitly backtracks to try a different one...	no	<count>0</count>	The text provided is a scientific abstract describing a research study on high-resolution rotational spectroscopy and coherent control of CaH+. The author presents a clear and linear explanation of the research methodology, results, and conclusions. There is no evidence of backward-chaining behavior, where the writer s...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by checking the result of a calculation. The text appears to be a research abstract or presentation description, focusing on presenting methods, results, and references rathe...	no	yes	science	Quantum Physics and Molecular Spectroscopy	The text appears to be a research paper or presentation on quantum physics and molecular spectroscopy, specifically discussing methods for precision spectroscopy and coherent quantum state manipulation of a molecular ion. The text describes a solution or protocol for achieving high-resolution rotational spectroscopy an...
https://www.repository.cam.ac.uk/handle/1810/338665?show=full	dc.contributor.author Alperin, Samuel dc.date.accessioned 2022-07-01T15:16:51Z dc.date.available 2022-07-01T15:16:51Z dc.date.submitted 2021-06-22 dc.identifier.uri https://www.repository.cam.ac.uk/handle/1810/338665 dc.description.abstract The study of Bose-Einstein condensates (BECs) has represented a core subject of...	2023-02-07 17:43:30	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a well-structured academic thesis abstract that presents a clear and coherent narrative without any instances of the auth...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Condensed Matter Physics, specifically Bose-Einstein Condensates and Nonequilibrium Physics ## Rationale The text appears to be a doctoral thesis in the field of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of a calc...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a thesi...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided is a thesis abstract and introduction, outlining the research and main themes of the study on nonconservative quantum fluids, specifica...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a well-structured academic thesis abstract that presents a clear and coherent narrative without any instances of the author abandoning a thought or approach and trying a different one. The text flows logically, introducing topics, explaining concepts, ...	no	<count>0</count>	The text provided is a thesis abstract and introduction, outlining the research and main themes of the study on nonconservative quantum fluids, specifically Bose-Einstein condensates formed from exciton-polaritons. The author presents the background, objectives, and an overview of the contributions of the thesis in a l...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of a calculation. The text appears to be a thesis abstract discussing the study of Bose-Einstein condensates, specifically nonconservative quantum hydrod...	no	yes	science	Condensed Matter Physics, specifically Bose-Einstein Condensates and Nonequilibrium Physics	The text appears to be a doctoral thesis in the field of condensed matter physics, focusing on the study of Bose-Einstein condensates and nonequilibrium physics. While it discusses various challenges and complexities in understanding the behavior of nonconservative condensates, it does not explicitly state a problem to...	What is a key characteristic of the polariton condensate and how does it affect its dynamics?	<think>I think I should try to find the key characteristic of the polariton condensate first. It says that photons are trapped in the cavity for finite times and are thus continually lost. This means that the polariton condensate must be fed by an optical pump to be created or sustained. This is a key characteristic. N...
https://www.getshifting.com/wiki/q/q762?rev=1469649351&do=diff	# SHIFT --- Sjoerd Hooft's InFormation Technology --- ### Site Tools q:q762 ##### Differences This shows you the differences between two versions of the page. — q:q762 [2016/07/27 21:55] (current) Line 1: Line 1: + = Question 762 = + This page is part of Q, the IT exam trainer. \\ See https://www.getshifting.com...	2019-07-17 02:33:26	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a straightforward presentation of information regarding configuring Extensible Messaging and Presence Protocol (XMPP) fed...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Computer Science, specifically IT and Networking (Skype for Business Server configuration) ## Rationale The text describes a specific problem related to configur...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing the result to a known value or checking the result ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a question from...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. It appears to be a question and answer format, where the goal is to determine the correct configura...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a straightforward presentation of information regarding configuring Extensible Messaging and Presence Protocol (XMPP) federation with an instant messaging partner for Skype for Business Server 2015. The text does not contain phrases or sentences that i...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. It appears to be a question and answer format, where the goal is to determine the correct configuration setting for XMPP federated partners. The text presents a scenario, provides information about the requirements and constraints, and then asks a question about the...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing the result to a known value or checking the result of a calculation. The text appears to be a question and answer format related to configuring XMPP federation with an instant messaging partner, ...	yes	yes	science	Computer Science, specifically IT and Networking (Skype for Business Server configuration)	The text describes a specific problem related to configuring XMPP federation with an instant messaging partner on Skype for Business Server 2015, and provides a solution by specifying the correct configuration option for "Support server dialback negotiations". The text includes technical terms and concepts, such as XMP...
https://www.quizover.com/online/course/nmr-chem-215-spring08-by-openstax?page=1&=	# Nmr (Page 2/6) Page 2 / 6 Because many solvents also have protons present, their use in obtaining NMR spectra is problematic. The signal due to the protons in a typical organic solvent would be so large that it would swamp any signal due to the sample you want to measure - sort of like trying to see a tiny flashl...	2019-01-21 21:37:11	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 23, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The provided text does not exhibit any backtracking behavior. The writer presents information in a linear and coherent manner, without abandoning a thought or approach and trying a different...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Nuclear Magnetic Resonance (NMR) Spectroscopy and Nanotechnology ## Rationale The text discusses a problem in NMR spectroscopy where the signal from the protons ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of a calc...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided does not exhibit backward-chaining behavior. Backward chaining involves starting with a goal and working backward to find a solution or...	no	<count>0</count>	The provided text does not exhibit any backtracking behavior. The writer presents information in a linear and coherent manner, without abandoning a thought or approach and trying a different one. The text is a collection of explanations, discussions, and questions related to NMR spectroscopy and nanotechnology, but it ...	no	<count>0</count>	The text provided does not exhibit backward-chaining behavior. Backward chaining involves starting with a goal and working backward to find a solution or to understand a concept. The text appears to be a collection of notes, explanations, and discussions about NMR spectroscopy and nanotechnology, but it does not demons...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of a calculation. The text appears to be informational, discussing topics related to NMR spectroscopy and nanotechnology, and does not involve any calcul...	yes	yes	science	Nuclear Magnetic Resonance (NMR) Spectroscopy and Nanotechnology	The text discusses a problem in NMR spectroscopy where the signal from the protons in the solvent can overwhelm the signal from the sample being measured. A solution is presented, which involves using deuterated solvents that have similar properties to their proton-analogues but do not interfere with the detection of p...	What is the purpose of using deuterated solvents in NMR spectroscopy?	<think>I need to find the specific reason for using deuterated solvents in NMR spectroscopy. The text mentions that regular solvents with protons can overwhelm the signal of the sample. I should look for a statement that explains how deuterated solvents solve this issue. The text says that deuterium resonates at a diff...
https://avrodrigues.github.io/naturaList/index.html	The goal of the naturaList package is providing tools for checking the identification reliability in species occurrence datasets. The main functionality of the naturaList package is providing an automated way to identify for the taxon of interest, which records has the most reliable level of classification, i.e, those ...	2022-08-18 11:08:48	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of the naturaList package, its functionality, and usage, without abandon...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Biology, Species Identification, and Data Analysis ## Rationale The text does not explicitly state a problem but rather presents a solution, the naturaList packag...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calcu...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the model breaks down the problem into smaller, intermediate goals. The text appears to be a descri...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. It appears to be a descriptive document explaining the functionality and usage of the naturaList pa...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of the naturaList package, its functionality, and usage, without abandoning any thoughts or approaches. The text follows a logical sequence, introducing the package, explaining its installation, describi...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. It appears to be a descriptive document explaining the functionality and usage of the naturaList package, with a clear and linear structure. The author presents the goal of the package, explains its main functionality, and then provides step-by-step instructions on ...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calculation. The text primarily focuses on describing the functionality and usage of the naturaList package, providing installation instructions, and...	no	yes	science	Biology, Species Identification, and Data Analysis	The text does not explicitly state a problem but rather presents a solution, the naturaList package, which provides tools for checking the identification reliability in species occurrence datasets. The package offers various functions and features to classify occurrence records into confidence levels, making it a solut...
https://reperiendi.wordpress.com/2008/01/02/polyadic-asynchronous-asymmetric-pi-calculus/	# reperiendi ## Polyadic asynchronous asymmetric pi calculus Posted in Programming by Mike Stay on 2008 January 2 $\begin{array}{rll} P :=\\& \mbox{send } \langle y_1, \ldots, y_n\rangle \mbox{ on } \bar{x}. & \|\\& \mbox{receive } \langle y_1, \ldots, y_n\rangle \mbox{ on } x; P &\|\\& (P\|P) &\|\\& \mbox{new }y; P & \|...	2017-08-24 01:02:01	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 27, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text is a formal description of the polyadic asynchronous asymmetric pi-calculus, including its syntax, structural congruence rules, and reduction rules. The text presents a sy...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) science ## Text domain (specific) Computer Science, Formal Language Theory, Process Calculus ## Rationale The text appears to be a formal description of the polyadic asynchronous asymmetric pi-calc...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text is a formal description of the polyadic asynchronous asymmetric pi-calculus, including its syntax, structural congruence rules, and reduction rules. While it ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a formal description of the polyadic asynchronous asymmetric pi-calculus, a process calculus used in computer science. It presents the sy...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a formal description of the polyadic asynchronous asymmetric pi-calculus, a process calculus used in computer science to ...	no	<count>0</count>.	The provided text is a formal description of the polyadic asynchronous asymmetric pi-calculus, including its syntax, structural congruence rules, and reduction rules. The text presents a systematic and structured explanation without any indication of the author realizing a path won't work and explicitly going back to t...	no	<count>0</count>	The provided text appears to be a formal description of the polyadic asynchronous asymmetric pi-calculus, a process calculus used in computer science to model concurrent systems. The text presents a set of rules and equations that define the behavior of processes, but it does not exhibit backward-chaining behavior. Bac...	no	<count>0</count>.	The provided text is a formal description of the polyadic asynchronous asymmetric pi-calculus, including its syntax, structural congruence rules, and reduction rules. While it presents a rigorous and detailed definition of the calculus, it does not contain any explicit verification steps where the author checks their w...	no	no	science	Computer Science, Formal Language Theory, Process Calculus	The text appears to be a formal description of the polyadic asynchronous asymmetric pi-calculus, a process calculus used to model concurrent systems. It presents a set of syntax, structural congruence rules, and reduction rules, but does not pose a specific problem or provide a solution to one. The text is written in a...
http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:0609.62054	Language: Search: Contact Zentralblatt MATH has released its new interface! For an improved author identification, see the new author database of ZBMATH. Query: Fill in the form and click »Search«... Format: Display: entries per page entries Zbl 0609.62054 Rousseeuw, Peter Multivariate estimation with high breakdo...	2013-05-23 12:09:18	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal and structured passage that presents information about a mathematical concept, specifically multivariate estimat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Multivariate Statistics, Robust Estimation ## Rationale The text describes a problem in multivariate estimation, specifically the issue of breakdown points in estim...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calcu...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a mathe...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided appears to be a mathematical article discussing robust estimation and outlier detection. The author presents various concepts, definiti...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal and structured passage that presents information about a mathematical concept, specifically multivariate estimation with high breakdown point, without any indication of the writer abandoning a thought or approach and trying a different one. Th...	no	<count>0</count>	The text provided appears to be a mathematical article discussing robust estimation and outlier detection. The author presents various concepts, definitions, and formulas related to the topic, but does not exhibit backward-chaining behavior. Backward chaining typically involves starting with a goal and working backward...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calculation. The text appears to be a mathematical and statistical discussion about estimators, breakdown points, and robust regression, and it does ...	yes	yes	math	Multivariate Statistics, Robust Estimation	The text describes a problem in multivariate estimation, specifically the issue of breakdown points in estimators, where a small fraction of contaminated data can significantly affect the estimate. The solution presented is a new estimator, the center of the least-volume ellipsoid covering half of the data, which has a...	What is the breakdown point of the least squares estimator and M-estimators?	<think>I need to find the breakdown point for both the least squares estimator and M-estimators. The text mentions that the breakdown point of least squares, which is the arithmetic mean, is 0. For M-estimators, the text states that the breakdown point is at most $1/(p+1)$. I should verify these points to ensure I have...
http://www.velocityreviews.com/threads/the-disappearance-of-darkness.960436/page-6	# The disappearance of darkness Discussion in 'Digital Photography' started by Me, May 7, 2013. 1. ### Chris MalcolmGuest PeterN <> wrote: > On 5/11/2013 11:31 AM, nospam wrote: >> In article <>, >> Whisky-dave <> wrote: >> digital is much better for teaching photography. > Depends on what you are attempting to ...	2014-12-25 03:00:19	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The text provided is a discussion forum on digital photography and audio equipment. The conversation involves multiple participants discussing various topics, including the differences betw...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Digital Photography and Audio Technology ## Rationale The text discusses various topics related to digital photography and audio technology, including the differ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The text provided is a discussion forum on digital photography and audio equipment, where users share their opinions and experiences. While there are comparisons and claims mad...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text is a discussion forum on digital photography and audio equipment, where users share their opinions and experiences. There is no explicit subgoal settin...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided is a discussion forum on digital photography and audio equipment. The conversation involves multiple participants sharing their opinion...	no	<count>0</count>.	The text provided is a discussion forum on digital photography and audio equipment. The conversation involves multiple participants discussing various topics, including the differences between digital and film photography, the effects of solarization, and the quality of audio cables. Upon reviewing the text, there is n...	no	<count>0</count>	The text provided is a discussion forum on digital photography and audio equipment. The conversation involves multiple participants sharing their opinions and experiences on various topics, including the differences between digital and film photography, the effects of solarization, and the quality of audio cables. Upon...	no	<count>0</count>.	The text provided is a discussion forum on digital photography and audio equipment, where users share their opinions and experiences. While there are comparisons and claims made about the effects of certain techniques or equipment, there are no explicit verification steps taken to check the results against known values...	yes	yes	science	Digital Photography and Audio Technology	The text discusses various topics related to digital photography and audio technology, including the differences between digital and film photography, the process of solarization, and the effects of cable impedance on audio quality. The problems presented include the limitations of digital photography in teaching certa...
https://codeforces.com/problemset/problem/47/C	C. Crossword time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output Vasya trains to compose crossword puzzles. He can only compose crosswords of a very simplе type so far. All of them consist of exactly six words; the words can be read only from top to bottom vert...	2020-08-09 06:21:18	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a problem statement for a programming challenge, describing the rules and constraints for generating a crosswo...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Computer Science, Algorithmic Problem Solving ## Rationale The text describes a specific problem related to composing crosswords using given words, with constrai...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a problem state...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided does not exhibit backward-chaining behavior. It appears to be a problem statement for a programming challenge, where the goal is to com...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a problem statement for a programming challenge, describing the rules and constraints for generating a crossword puzzle. The text presents a straightforward explanation of the problem and its requirements without any indication of the writer...	no	<count>0</count>	The text provided does not exhibit backward-chaining behavior. It appears to be a problem statement for a programming challenge, where the goal is to compose a crossword puzzle using six given words. The text outlines the rules and constraints of the problem, but it does not demonstrate a reasoning process that starts ...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a problem statement for a programming challenge, providing input and output examples, but it does not demo...	yes	yes	science	Computer Science, Algorithmic Problem Solving	The text describes a specific problem related to composing crosswords using given words, with constraints on the arrangement and output format. The problem requires a computational solution, and the text provides examples of input and output, indicating that it is a problem from the domain of computer science, specific...	How do I compose a crossword using the given six words, ensuring it forms a rectangular "eight" or infinity sign and meets the specified conditions?	<think>I need to arrange the six words into a crossword that forms a rectangular "eight" or infinity sign. The crossword must have exactly four blank areas, with two of them surrounded by letters. I should start by identifying the longest and shortest words to determine the dimensions of the crossword. Then, I'll try t...
https://labs.tib.eu/arxiv/?author=W.%20W.%20Zhang	• ### An efficient differential quadrature method for fractional advection-diffusion equation(1611.01597) Oct. 18, 2017 math.NA This article studies a direct numerical approach for fractional advection-diffusion equations (ADEs). Using a set of cubic trigonometric B-splines as test functions, a differential quadrature...	2020-12-05 22:39:33	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a collection of abstracts from various scientific articles, each presenting a distinct research topic and meth...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) science ## Text domain (specific) Astrophysics and High-Energy Astrophysics ## Rationale The text appears to be a collection of abstracts from scientific papers in the field of astrophysics and hig...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a collection of abstracts from various scientific articles, primarily focused on astrophysics and X-ray observations. Upo...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a collection of abstracts from various scientific articles, each presenting a distinct research topic and methodology without any indication of revisiting or re-evaluating previous ideas or approaches. The text is written in a formal and obj...	no	<count>0</count>	The provided text appears to be a collection of abstracts from various scientific articles, primarily focused on astrophysics and X-ray observations. Upon examining the text, there is no clear evidence of backward-chaining behavior, where the writer starts from a goal and works backward to achieve it. The text is prima...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a collection of abstracts from various scientific papers, presenting research findings and results without...	no	no	science	Astrophysics and High-Energy Astrophysics	The text appears to be a collection of abstracts from scientific papers in the field of astrophysics and high-energy astrophysics. The language and terminology used are technical and specific to the field, indicating that the text is from a scientific or academic source. The topics discussed include the analysis of X-r...
http://ctcourseworkurnk.paycheckadvance.us/latex-environment-thesis.html	# Latex environment thesis Additional resources - latex cheat sheet general thesis tips like figures, tables also need to be in a float environment such as tabular or longtable. Papeeria includes free collaborative latex editor this great application made lots of thesis and term work papers full tex live environment i...	2018-08-17 08:04:19	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a collection of resources and information about using LaTeX for writing a thesis, with various examples and te...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) computer science ## Text domain (specific) Latex, Thesis Writing, Document Preparation ## Rationale The text provides information, tips, and resources on using Latex for writing a thesis, includin...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking calculations. The tex...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and then figur...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a collection of resources and information about using LaTeX for writing a thesis, with various examples and templates. There is no instance where the writer abandons a thought or approach and explicitly goes back to try a different one, whic...	no	<count>0</count>	The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and then figuring out the steps needed to achieve it. In the given text, the author is discussing various aspects of using LaTeX for writing a thesis, including templates, environme...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking calculations. The text appears to be a collection of resources, tips, and templates for writing a thesis in LaTeX, but it does not demonstrate any self-verification ...	no	yes	computer science	Latex, Thesis Writing, Document Preparation	The text provides information, tips, and resources on using Latex for writing a thesis, including templates, environments, and commands. It does not present a specific problem to be solved, but rather offers solutions and guidance for using Latex in thesis writing. The text assumes the reader is already familiar with t...
https://metroplexmathcircle.wordpress.com/tag/jonathan-kane/	Feeds: Posts ## October 05, 2013 – Dr. Jonathan Kane – “Rows of Roses” Let’s talk about the sine and cosine functions. One does not need to use very much information about these commonly seen functions in order to understand a large number of curves which can be drawn by graphing sine and cosine in Cartesian and pola...	2022-05-27 02:51:15	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 3, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a collection of posts about mathematical lectures, events, and competitions, with no instances of the writer a...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) math ## Text domain (specific) Mathematics Education, Geometry, and Mathematical Competitions ## Rationale The text appears to be a collection of posts about mathematics lectures, competitions, and...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calcu...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided appears to be a collection of posts about mathematical lectures, competitions, and events. Upon examining the content, there is no evid...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a collection of posts about mathematical lectures, events, and competitions, with no instances of the writer abandoning a thought or approach and trying a different one. The text is primarily informative and descriptive, without any signs of...	no	<count>0</count>	The text provided appears to be a collection of posts about mathematical lectures, competitions, and events. Upon examining the content, there is no evidence of backward-chaining behavior, where the writer starts with a goal and works backward to achieve it. The text primarily consists of descriptive passages, announce...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calculation. The text appears to be a collection of announcements and descriptions of mathematical lectures, contests, and research papers, without a...	no	no	math	Mathematics Education, Geometry, and Mathematical Competitions	The text appears to be a collection of posts about mathematics lectures, competitions, and events, featuring Dr. Jonathan Kane and other mathematicians. The posts describe various topics in mathematics, such as sine and cosine functions, geometric constructions, and circle problems, but do not present a specific proble...	What are some of the curves that can be drawn by graphing sine and cosine in Cartesian and polar coordinates?	<think>I recall the lecture mentioned several types of curves that can be created using sine and cosine functions. I need to list them out carefully. The curves include sine curves, which are straightforward. Then there are sums of sine curves, which are combinations of sine waves. Lissajous figures are also mentioned,...
https://proofwiki.org/wiki/Category:Preimages	# Category:Preimages This category contains results about Preimage in the context of Set Theory. Definitions specific to this category can be found in Definitions/Preimages. Let $Y \subseteq T$. The preimage of $Y$ under $f$ is defined as: $f^{-1} \sqbrk Y := \set {s \in S: \exists t \in Y: \map f s = t}$ That is,...	2021-06-12 14:31:34	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal and structured presentation of definitions and concepts related to preimages in set theory, without any indicati...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) math ## Text domain (specific) Set Theory ## Rationale The text appears to be a definition of a mathematical concept, specifically the preimage in the context of Set Theory. It provides a formal de...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text is a definition of preimage in the context of set theory and does not contain any explicit verification steps, such as comparing results to known values or ch...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the problem is broken down into smaller, intermediate goals. The text appears to be a definition a...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided is a formal definition of preimages in the context of set theory, and it does not exhibit backward-chaining behavior. The writer starts...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal and structured presentation of definitions and concepts related to preimages in set theory, without any indication of the writer abandoning a thought or trying a different approach. The text proceeds in a logical and sequential manner, definin...	no	<count>0</count>	The text provided is a formal definition of preimages in the context of set theory, and it does not exhibit backward-chaining behavior. The writer starts by introducing the concept and then provides a definition, which is a straightforward and direct approach. There is no evidence of working backwards from a goal to ac...	no	<count>0</count>.	The provided text is a definition of preimage in the context of set theory and does not contain any explicit verification steps, such as comparing results to known values or checking calculations. It presents a formal definition and explains the concept without providing examples or proofs that involve verification of ...	no	no	math	Set Theory	The text appears to be a definition of a mathematical concept, specifically the preimage in the context of Set Theory. It provides a formal definition and notation, but does not pose a problem to be solved or provide a solution to a specific problem. The text is informative and explanatory, aiming to clarify the concep...
https://bobsegarini.wordpress.com/tag/dave-trenkel/	## Frank Gutch Jr: Musicians to Corporate: This Is War!; Mad Anthony’s Brand-Spanking New Video; and Notes Even You Can Play Posted in Opinion with tags , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , on July 29, 2014 by segarini Strap yourselves in, sports fans, because this is going to...	2023-03-25 08:39:23	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. The writer presents their thoughts and opinions in a linear fashion, without abandoning a thought or approach and trying a diff...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? no ## Text domain (broad) english ## Text domain (specific) Music Industry and Criticism ## Rationale The text appears to be a critique of the music industry, with the author expressing strong opinions and frustrations. Th...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing results to known values or checking calculations. T...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided does not exhibit backward-chaining behavior. The writer starts by introducing a topic and then proceeds to discuss it in a linear fashi...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. The writer presents their thoughts and opinions in a linear fashion, without abandoning a thought or approach and trying a different one. The text includes introductory phrases and transitional sentences, but these serve to guide the reader through the write...	no	<count>0</count>	The text provided does not exhibit backward-chaining behavior. The writer starts by introducing a topic and then proceeds to discuss it in a linear fashion, without working backward from a goal. The text appears to be a personal opinion piece, with the writer sharing their thoughts and reflections on the music industry...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing results to known values or checking calculations. The text appears to be opinion-based articles discussing music and the music industry, with the author referencing their previous pieces and shar...	yes	no	english	Music Industry and Criticism	The text appears to be a critique of the music industry, with the author expressing strong opinions and frustrations. The use of phrases such as "This Is War!" and "get ugly" suggests a problem or conflict, but no clear solution is presented. The text is written in an opinionated and reflective tone, indicating that it...
https://ch.mathworks.com/help/comm/ref/comm.constellationdiagram-system-object.html	# comm.ConstellationDiagram Display constellation diagram for input signals ## Description The `comm.ConstellationDiagram` System object™ displays real and complex-valued floating and fixed-point signals in the IQ plane. Use this System object to perform qualitative and quantitative analysis on modulated single-carr...	2020-03-29 13:25:28	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 13, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a technical description of a System object in MATLAB, specifically the `comm.ConstellationDiagram` object, and its usage....	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) science ## Text domain (specific) Telecommunications and Signal Processing ## Rationale The text appears to be a documentation or manual for a specific System object in MATLAB, `comm.ConstellationD...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a docum...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text does not exhibit backward-chaining behavior. Backward chaining involves starting with a goal and working backward to find the steps nee...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a technical description of a System object in MATLAB, specifically the `comm.ConstellationDiagram` object, and its usage. The text provides a detailed explanation of the object's properties, syntax, and examples of its use, but it does not contain any ...	no	<count>0</count>	The provided text does not exhibit backward-chaining behavior. Backward chaining involves starting with a goal and working backward to find the steps needed to achieve it. The text, however, appears to be a technical description of a System object in MATLAB, specifically the `comm.ConstellationDiagram` object, and its ...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a technical description of a System object in MATLAB, providing information on its properties, usage, and ...	no	no	science	Telecommunications and Signal Processing	The text appears to be a documentation or manual for a specific System object in MATLAB, `comm.ConstellationDiagram`, which is used to display constellation diagrams for input signals. The text provides detailed information on the object's properties, syntax, and usage, as well as examples of how to use it. There is no...	How can you create a `comm.ConstellationDiagram` object to visualize the constellation of multi-input and multichannel modulated signals with different SNRs?	<think>I need to create a `comm.ConstellationDiagram` object that can handle multiple inputs and multichannel signals. I will define the reference constellations for 16-QAM and 8-PSK. Then, I will configure the `comm.ConstellationDiagram` object with these reference constellations, set the number of input ports to 2, a...
http://jayvijay.co/t58zaj/taxi-driving-is-an-example-of-which-environment-7047e1	# taxi driving is an example of which environment â¦ crossword puzzle. In general, sensors are what agents use to get things from the environment to do perception. driverless car: A driverless car (sometimes called a self-driving car , an automated car or an autonomous vehicle ) is a robotic vehicle that is designed ...	2021-03-05 00:11:03	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not contain any instances of backtracking behavior. It appears to be a simple statement or question about taxi driving being an example of a particular environment, w...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) science ## Text domain (specific) Artificial Intelligence, Machine Learning, or Computer Science (specifically, the context of environments in the field of reinforcement learning or autonomous syste...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any verification steps. It appears to be a statement or a question about taxi driving, but it does not include any checks or comparisons to v...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting or steps to break down a problem into smaller, intermediate goals. It appears to be a simple statement or...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text is a short statement or question about taxi driving being an example of a specific environment, but it does not demonstrate a reasoning...	no	<count>0</count>.	The provided text does not contain any instances of backtracking behavior. It appears to be a simple statement or question about taxi driving being an example of a particular environment, without any indication of the writer abandoning a thought or trying a different approach.	no	<count>0</count>	The provided text is a short statement or question about taxi driving being an example of a specific environment, but it does not demonstrate a reasoning process or working towards a goal. Backward chaining involves starting with a goal and then figuring out the steps needed to achieve it, which is not observed in this...	no	<count>0</count>.	The provided text does not contain any verification steps. It appears to be a statement or a question about taxi driving, but it does not include any checks or comparisons to verify the accuracy of a calculation or result. There is no evidence of the writer explicitly checking their own work or validating their stateme...	no	no	science	Artificial Intelligence, Machine Learning, or Computer Science (specifically, the context of environments in the field of reinforcement learning or autonomous systems)	The text mentions "taxi driving" in the context of an "environment", which suggests a discussion about autonomous systems or reinforcement learning, where environments are a key concept. The text does not pose a specific problem or provide a solution, but rather seems to be setting up a question or example related to t...	taxi driving is an example of which environment
https://scoop.eduncle.com/is-constant-function-monotonic-pls-once-tell	IIT JAM Follow Anku Asked a Question April 23, 2021 4:21 pm 30 pts is constant function monotonic.? . . . .. . . . . .. . • 0 Likes • Shares • Gattu uday If f(x)= k ,where K is constant f is neither increasing nor decreasing ,if x is there in f then only Increase or decrease happens • Gattu uday f(x)= K ,where k is con...	2021-05-08 20:33:22	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The text provided is a conversation between multiple individuals discussing whether a constant function is monotonic. While there are disagreements and clarifications, there is no instance ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Real Analysis, Monotonic Functions ## Rationale The text discusses whether a constant function is monotonic, with various users providing their opinions and explana...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a discussion forum where users are debating whether a constant function is monotonic. While the users provide explanations and examples, there a...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a discussion forum where users are debating whether a constant function is monotonic or not. While the users are breaking down the concep...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided appears to be a discussion forum where users are debating whether a constant function is monotonic. The conversation involves users pre...	no	<count>0</count>.	The text provided is a conversation between multiple individuals discussing whether a constant function is monotonic. While there are disagreements and clarifications, there is no instance where a writer explicitly abandons a thought and backtracks to try a different approach. The conversation flows with each person pr...	no	<count>0</count>	The text provided appears to be a discussion forum where users are debating whether a constant function is monotonic. The conversation involves users presenting their opinions and responding to each other's questions. However, there is no evidence of backward-chaining behavior, where the writer starts with a goal and w...	no	<count>0</count>.	The provided text appears to be a discussion forum where users are debating whether a constant function is monotonic. While the users provide explanations and examples, there are no explicit verification steps where they check their work by comparing results to known values or verifying calculations. The discussion is ...	yes	yes	math	Real Analysis, Monotonic Functions	The text discusses whether a constant function is monotonic, with various users providing their opinions and explanations. The problem is clearly stated, and multiple solutions or perspectives are offered, including a "Best Answer" from Alka Gupta. The conversation revolves around the properties of constant functions a...	Is a constant function monotonic?	<think>I think I should clarify what a monotonic function is first. A monotonic function is one that is either entirely non-increasing or non-decreasing. Now, considering a constant function, it doesn't increase or decrease at all. So, I need to determine if being neither increasing nor decreasing fits the definition o...
https://autohausvw.co.uk/1gc1zsf/c3a62a-mle-of-hypergeometric-distribution	Then the colored marbles are put back. {\displaystyle N=47} containing What modern innovations have been/are being made for the piano. K makes obvious the fact that the LHS is a decreasing function of $m$ and the RHS is an increasing function of $m$. balls and colouring them red first. 2 What does commonwealth mean in ...	2021-01-25 19:25:41	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a collection of mathematical concepts and explanations related to the hypergeometric distribution, without any ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) math/science ## Text domain (specific) Statistics and Probability, specifically the Hypergeometric Distribution ## Rationale The text discusses the hypergeometric distribution, its properties, and...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text does not exhibit backward-chaining behavior. It appears to be a collection of mathematical concepts, formulas, and explanations related...	no	<count>0</count>	The provided text does not exhibit any backtracking behavior. It appears to be a collection of mathematical concepts and explanations related to the hypergeometric distribution, without any indication of the writer abandoning a thought or trying a different approach. The text is written in a formal and technical tone, ...	no	<count>0</count>	The provided text does not exhibit backward-chaining behavior. It appears to be a collection of mathematical concepts, formulas, and explanations related to the hypergeometric distribution, Fisher's exact test, and other statistical topics. The text does not demonstrate a goal-oriented approach where the writer starts ...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a collection of mathematical concepts and formulas related to the hypergeometric distribution, but it does...	no	yes	math/science	Statistics and Probability, specifically the Hypergeometric Distribution	The text discusses the hypergeometric distribution, its properties, and applications, including the maximum likelihood estimator and Fisher's exact test. It provides formulas, equations, and explanations related to the distribution, indicating a focus on statistical concepts and methods. There is no clear problem state...	How would one obtain the maximum likelihood estimate for parameter $ m $, the number of white marbles, given $ T $ trials from the same urn, using the hypergeometric distribution?	<think>I need to find the maximum likelihood estimate (MLE) for the parameter $ m $, which represents the number of white marbles in the urn. I start by considering the likelihood function for the hypergeometric distribution. The likelihood function involves the probability mass function (pmf) of the hypergeometric d...
http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:1157.39004	Language: Search: Contact Zentralblatt MATH has released its new interface! For an improved author identification, see the new author database of ZBMATH. Query: Fill in the form and click »Search«... Format: Display: entries per page entries Zbl 1157.39004 Cheng, Jinfa; Chu, Yuming Oscillation theorem for second-o...	2013-06-19 07:08:36	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a formal mathematical article or summary, presenting information in a straightforward and linear manner withou...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Difference Equations, specifically second-order difference equations and their stability. ## Rationale The text does not explicitly state a problem but rather presen...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a mathematical abstract or summary of a research paper, and it does not contain any explicit verification steps. The text presents theorems, con...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting or steps to break down a problem into smaller, intermediate goals. It appears to be a mathematical abstra...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a mathematical article summary, and it does not exhibit backward-chaining behavior. The text presents a problem (a second...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a formal mathematical article or summary, presenting information in a straightforward and linear manner without any indication of the author re-evaluating or abandoning a line of thought to try a different approach. The text is structured an...	no	<count>0</count>	The provided text appears to be a mathematical article summary, and it does not exhibit backward-chaining behavior. The text presents a problem (a second-order difference equation) and then discusses the results obtained by the authors, including sufficient conditions for the existence of bounded nonoscillatory solutio...	no	<count>0</count>.	The provided text appears to be a mathematical abstract or summary of a research paper, and it does not contain any explicit verification steps. The text presents theorems, conditions, and results related to second-order difference equations, but it does not show any calculations or comparisons to known values to verif...	no	yes	math	Difference Equations, specifically second-order difference equations and their stability.	The text does not explicitly state a problem but rather presents a study on second-order difference equations, providing sufficient conditions for the existence of bounded nonoscillatory solutions and conditions for every bounded solution to oscillate. The text appears to be a summary of a mathematical research paper, ...
http://ekomusicfest.com/nfgfms/12-oz-can-dimensions-in-inches.html	# 12 oz can dimensions in inches #### 12 oz can dimensions in inches 6 imp fl oz or 11 US fl oz). or less. RE: What are the dimensions of a regular 12oz beer can? I'm looking for the height, width, and the circumference. Second line is sizes in metric system. 211 Beverage Can. The millimeter is a unit of length which...	2020-01-21 15:44:59	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not contain any instances of backtracking behavior. It appears to be a simple statement or title about the dimensions of a 12 oz can in inches, without any exploratio...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Physics/Measurement ## Rationale The text appears to provide a specific measurement (12 oz can dimensions in inches), which suggests that it is providing a soluti...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any calculations, comparisons, or explicit checks of results against known values. It appears to be a heading or title, and there is no conte...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting or steps to break down a problem into smaller, intermediate goals. It appears to be a simple query or hea...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text does not contain any reasoning or problem-solving behavior, let alone backward chaining. It appears to be a simple statement or a headi...	no	<count>0</count>.	The provided text does not contain any instances of backtracking behavior. It appears to be a simple statement or title about the dimensions of a 12 oz can in inches, without any exploration of different approaches or abandonment of thoughts. There is no language indicating a change in direction or a re-evaluation of a...	no	<count>0</count>	The provided text does not contain any reasoning or problem-solving behavior, let alone backward chaining. It appears to be a simple statement or a heading, and there is no evidence of the writer working towards a goal or using backward chaining to achieve it. The text is too brief and lacks any logical or analytical c...	no	<count>0</count>.	The provided text does not contain any calculations, comparisons, or explicit checks of results against known values. It appears to be a heading or title, and there is no content that suggests the writer is verifying their work. Therefore, no verification steps were found.	no	yes	science	Physics/Measurement	The text appears to provide a specific measurement (12 oz can dimensions in inches), which suggests that it is providing a solution or an answer to a potential question about the size of a 12 oz can. There is no explicit problem statement, but the text implies that it is providing information that might be useful in a ...
https://pasteio.com/xfLf1lzfD2Z4	On the other hand, their streaming services Never ```https://www.renegadepawsrescue.org/profile/thor-love-and-thunder-full-movie-sub-eng/profile https://c.realme.com/id/post-details/1541884862808805376 https://c.realme.com/id/post-details/1541885257413120000 https://c.realme.com/id/post-details/1541885327663517696 htt...	2022-08-20 01:46:09	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a list of URLs and a brief, incomplete sentence about streaming services, but there is no indication of the wr...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) technology ## Text domain (specific) Streaming Services and Online Content ## Rationale The text appears to be a collection of links to online content, specifically streaming services, and does not...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any verification steps. It appears to be a list of URLs, likely related to streaming services, but there is no evidence of the writer checkin...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting or steps to achieve a specific objective. It appears to be a list of URLs, possibly related to streaming ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text does not demonstrate any clear goal-oriented behavior or reasoning that starts from a goal and works backward. The text appears to be a...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a list of URLs and a brief, incomplete sentence about streaming services, but there is no indication of the writer abandoning a thought or approach and trying a different one. The text is more characteristic of a collection of links or a fra...	no	<count>0</count>	The provided text does not demonstrate any clear goal-oriented behavior or reasoning that starts from a goal and works backward. The text appears to be a list of URLs and a brief, unrelated phrase ("On the other hand, their streaming services" and "Never"), without any logical connection or argumentation that would sug...	no	<count>0</count>.	The provided text does not contain any verification steps. It appears to be a list of URLs, likely related to streaming services, but there is no evidence of the writer checking their work or comparing results to known values. The text lacks any calculations, comparisons, or other forms of verification.	no	no	technology	Streaming Services and Online Content	The text appears to be a collection of links to online content, specifically streaming services, and does not present a clear problem or solution. The text is fragmented and lacks a coherent narrative, suggesting that it is likely a list of resources or references rather than a discussion of a specific issue or solutio...
https://zbmath.org/?q=an:1216.68204&format=complete	# zbMATH — the first resource for mathematics ##### Examples Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "strai...	2016-05-05 06:53:14	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal and structured text that presents information about mathematics, specifically the concept of factor complexity, w...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) math ## Text domain (specific) Combinatorics on words, Symbolic Dynamical Systems ## Rationale The text appears to be a mathematical article or chapter, discussing the concept of factor complexity ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calcu...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a mathe...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text does not exhibit backward-chaining behavior. It appears to be a descriptive and informative passage about factor complexity in mathemat...	no	<count>0</count>	The provided text does not exhibit any backtracking behavior. It is a formal and structured text that presents information about mathematics, specifically the concept of factor complexity, without any instances of the writer abandoning a thought or trying a different approach. The text is written in a linear and logica...	no	<count>0</count>	The provided text does not exhibit backward-chaining behavior. It appears to be a descriptive and informative passage about factor complexity in mathematics, specifically in the context of combinatorics on words. The text introduces the concept, explains its history, and provides definitions without working towards a s...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calculation. The text appears to be a descriptive passage about factor complexity in mathematics, explaining concepts and terminology without perform...	no	no	math	Combinatorics on words, Symbolic Dynamical Systems	The text appears to be a mathematical article or chapter, discussing the concept of factor complexity in the context of combinatorics on words and symbolic dynamical systems. It provides definitions, references, and explanations, but does not pose a specific problem to be solved or present a solution to a particular pr...	What is the factor complexity function and who introduced it?	<think>I need to find out who introduced the factor complexity function and what it is. The text mentions that the function was introduced in 1938 by G. A. Hedlund and M. Morse. They called it block growth at the time. It seems they used it as a tool to study symbolic dynamical systems. I should also note that the term...
https://www.lexic.us/definition-of/peirce's_law	### Definition of Peirce's law 1. Noun. (logic) The classically valid but intuitionistically non-valid formula $\left(\left(P \to Q\right) \to P\right) \to P$ of propositional calculus, which can be used as an substitute for the law of excluded middle in implicational propositional calculus. ¹ ¹ Source: wiktionary.co...	2018-12-10 13:59:43	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 1, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a straightforward presentation of information about Peirce's Law, including its definition, related images, an...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) math ## Text domain (specific) Logic, Propositional Calculus ## Rationale The text provides a definition of Peirce's law, a concept in logic and propositional calculus, and does not mention any spe...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing results to known values or checking calculations. T...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text is a definition and collection of information related to Peirce's Law, including its logical formula, images, and lexicographical neighbors. There is n...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a collection of definitions, explanations, and related terms for Peirce's Law, a concept in logic. The text does not demo...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a straightforward presentation of information about Peirce's Law, including its definition, related images, and lexicographical neighbors. There are no instances where the writer abandons a thought or approach and attempts a different one, s...	no	<count>0</count>	The provided text appears to be a collection of definitions, explanations, and related terms for Peirce's Law, a concept in logic. The text does not demonstrate any backward-chaining behavior, where the writer starts with a goal and works backward to achieve it. Instead, the text presents information in a straightforwa...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing results to known values or checking calculations. The text appears to be a definition and collection of information about Peirce's Law, with a list of lexicographical neighbors, but does not incl...	no	no	math	Logic, Propositional Calculus	The text provides a definition of Peirce's law, a concept in logic and propositional calculus, and does not mention any specific problem or solution. It appears to be an informative or encyclopedic entry, providing a description and related links, but does not contain a problem-solution structure. The presence of logic...
http://lvpy.realtavirtualepromozionale.it/fpga-matrix-multiplication.html	## Fpga Matrix Multiplication For one MME, it is able to do M2 32 and 32 9 multiplication at once. Furthermore, we build on this approach to generate fused kernels for computation sequences involving matrix multiplication and pointwise operations such as bias addition, ReLU activation etc. Integrated Circuits (ASICs)....	2020-08-06 18:19:55	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not contain any instances of backtracking behavior. The text appears to be a title or a heading ("Fpga Matrix Multiplication") and does not include any sentences or p...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) science ## Text domain (specific) Computer Science, Digital Electronics ## Rationale The text "Fpga Matrix Multiplication" appears to be a topic or title related to a specific technique or applicat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any description or explanation of a process, calculation, or result that would require verification steps. It appears to be a title or headin...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting or steps for answer verification. It appears to be a title or heading ("Fpga Matrix Multiplication") with...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text "Fpga Matrix Multiplication" does not contain any descriptive content that would allow for the evaluation of backward-chaining behavior...	no	<count>0</count>.	The provided text does not contain any instances of backtracking behavior. The text appears to be a title or a heading ("Fpga Matrix Multiplication") and does not include any sentences or phrases that indicate the writer is abandoning a thought or trying a different approach. There is no evidence of the writer backtrac...	no	<count>0</count>	The provided text "Fpga Matrix Multiplication" does not contain any descriptive content that would allow for the evaluation of backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning backward to the given information. Since there is no text to analyze, no in...	no	<count>0</count>.	The provided text does not contain any description or explanation of a process, calculation, or result that would require verification steps. It appears to be a title or heading ("Fpga Matrix Multiplication") without any accompanying content that would involve checking or validating work. Therefore, there are no verifi...	no	no	science	Computer Science, Digital Electronics	The text "Fpga Matrix Multiplication" appears to be a topic or title related to a specific technique or application in the field of computer science and digital electronics, particularly involving Field-Programmable Gate Arrays (FPGAs) and matrix multiplication. There is no explicit problem statement or solution provid...
https://www.physicsforums.com/threads/first-derivative.382284/	# First derivative 1. Feb 27, 2010 ### shanshan 1. The problem statement, all variables and given/known data differentiate f(x) = [2x^(2/3)][3-4x^(1/3)] 2. Relevant equations 3. The attempt at a solution f'(x) = (4/3)(x^(-1/3))(3-4x^(1/3)) + (1/3)(-4)(x^(-2/3)) = 4x^(-1/3)-(16/3)-((4/3)(x^(-2/3))) = (4/x^(1/3))-(1...	2018-03-22 12:28:49	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The writer of the initial solution attempts to solve the problem and arrives at an answer, but then expresses uncertainty about its correctness, stating "I'm pretty sure I've made a mistake,...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Calculus, specifically differentiation using the product rule ## Rationale The text contains a problem statement where the user is trying to find the first derivati...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The writer of the initial solution attempts to solve the problem but expresses uncertainty about their result, stating "I'm pretty sure I've made a mistake, but I can't find it...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification occur? yes ## Number of answer verification steps <count>2</count>. ## Rationale The original poster breaks down the problem of finding the first derivative into smaller steps, including identifying the problem statement, relevant equations, a...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided does not exhibit backward-chaining behavior. Backward chaining involves starting with a goal and working backward to achieve it, often ...	no	<count>0</count>	The writer of the initial solution attempts to solve the problem and arrives at an answer, but then expresses uncertainty about its correctness, stating "I'm pretty sure I've made a mistake, but I can't find it." However, this expression of self-doubt does not constitute backtracking in the sense of explicitly abandoni...	no	<count>0</count>	The text provided does not exhibit backward-chaining behavior. Backward chaining involves starting with a goal and working backward to achieve it, often by identifying the necessary steps or conditions required to reach that goal. In the given text, the writer (shanshan) is attempting to solve a differentiation problem...	no	<count>0</count>.	The writer of the initial solution attempts to solve the problem but expresses uncertainty about their result, stating "I'm pretty sure I've made a mistake, but I can't find it." This indicates a lack of confidence but does not constitute a verification step, as they do not compare their result to a known value or chec...	yes	yes	math	Calculus, specifically differentiation using the product rule	The text contains a problem statement where the user is trying to find the first derivative of a given function and is having trouble with the solution. Another user points out the mistake and provides the correct application of the product rule, indicating that the text discusses a specific topic in calculus. The lang...	differentiate f(x) = [2x^(2/3)][3-4x^(1/3)]	<think>I think I should use the product rule to differentiate this function. The product rule is defined as $f' = g'h + gh'$. I'll set $g(x) = 2x^{2/3}$ and $h(x) = 3-4x^{1/3}$. I differentiate $g(x)$ to get $g'(x) = (4/3)x^{-1/3}$ and $h(x)$ to get $h'(x) = -4/3x^{-2/3}$. Then I apply the product rule: $f'(x) = (4/3)x...
https://pos.sissa.it/358/1038/	Volume 358 - 36th International Cosmic Ray Conference (ICRC2019) - NU - Neutrino Flaring Rate Distribution of Gamma-Ray Blazars and Implications for High-Energy Neutrino Emission K. Yoshida,* M. Petropoulou, M. Urry, P. Coppi, C. Bailyn, G. Vasilopoulos, K. Murase, F. Oikonomou *corresponding author Full text: pdf Pre-...	2019-10-19 00:11:07	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal scientific abstract that presents a clear and linear argument, without any instances of the author abandoning a ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Astrophysics/Cosmology, High-Energy Neutrino Emission ## Rationale The text describes a problem in understanding the contribution of gamma-ray flares to the blaz...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calcula...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a scientific ab...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. The authors start by introducing the topic of gamma-ray flares from blazars and their potential con...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal scientific abstract that presents a clear and linear argument, without any instances of the author abandoning a thought or approach and trying a different one. The text follows a logical structure, introducing the research topic, explaining th...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. The authors start by introducing the topic of gamma-ray flares from blazars and their potential connection to high-energy neutrino emission. They then outline their methodology, which involves analyzing data from the Fermi Monitored Source List and using a theoretic...	no	<count>0</count>.	The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text presents a research study and its methodology, but it does not include any instances of self-verification or validation of the re...	yes	yes	science	Astrophysics/Cosmology, High-Energy Neutrino Emission	The text describes a problem in understanding the contribution of gamma-ray flares to the blazar neutrino output and proposes a solution by conducting a statistical study of flare properties using public data from the Fermi Monitored Source List. The authors use a theoretically motivated relation to predict neutrino ou...
http://www.ams.org/mathscinet-getitem?mr=1979927	MathSciNet bibliographic data MR1979927 (2004d:42026) 42B25 Alfonseca, Angeles; Soria, Fernando; Vargas, Ana An almost-orthogonality principle in \$L\sp 2\$$L\sp 2$ for directional maximal functions. Harmonic analysis at Mount Holyoke (South Hadley, MA, 2001), 1–7, Contemp. Math., 320, Amer. Math. Soc., Providence, RI,...	2014-07-29 07:17:00	{"extraction_info": {"found_math": true, "script_math_tex": 1, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a bibliographic entry with a brief description of an article and information about accessing the article. Ther...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) math ## Text domain (specific) Harmonic Analysis ## Rationale The text appears to be a bibliographic entry for a mathematical article, specifically in the field of harmonic analysis. It provides in...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a bibliographic entry for a mathematical article, and does not contain any steps or calculations that involve verification of results. The text ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a bibliographic entry for a mathematical article, and it does not contain any explicit subgoal setting or steps to achieve a specific obj...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a bibliographic entry for a mathematical article, followed by a brief description of a service (Relay Station) that allow...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a bibliographic entry with a brief description of an article and information about accessing the article. There is no indication of the writer abandoning a thought or trying a different approach, as the text is primarily informative and does...	no	<count>0</count>	The provided text appears to be a bibliographic entry for a mathematical article, followed by a brief description of a service (Relay Station) that allows users to access electronic journals and original articles. The text does not exhibit any backward-chaining behavior, as it does not involve working towards a goal by...	no	<count>0</count>.	The provided text appears to be a bibliographic entry for a mathematical article, and does not contain any steps or calculations that involve verification of results. The text is primarily descriptive, providing information about the article, its authors, and its publication. There is no evidence of the writer checking...	no	no	math	Harmonic Analysis	The text appears to be a bibliographic entry for a mathematical article, specifically in the field of harmonic analysis. It provides information about the article's title, authors, publication, and classification, but does not pose a problem or offer a solution. Instead, it serves as a reference or citation for the art...
http://tug.org/pipermail/texhax/2004-February/001793.html	# [texhax] A Question about \par Robin Fairbairns Robin.Fairbairns at cl.cam.ac.uk Thu Feb 26 08:48:04 CET 2004 ```> When writing my documents in LaTeX I use the command \par to indicate > the start of a new paragraph. LaTeX nicely indents the start of a new > paragraph. However, for the first paragraph in a sect...	2018-06-19 03:11:28	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The text provided does not exhibit any backtracking behavior. The writer presents a problem with LaTeX indentation, explains the issue, and then receives a response that provides an explanat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) computer science ## Text domain (specific) TeX/LaTeX typesetting ## Rationale The text describes a problem with LaTeX not indenting the first paragraph in a section, despite using the `\par` comm...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing a result to a known value or checking the result of...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a discussion ab...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward chaining behavior. The writer is describing a problem they are experiencing with LaTeX and seeking an explanation, but...	no	<count>0</count>	The text provided does not exhibit any backtracking behavior. The writer presents a problem with LaTeX indentation, explains the issue, and then receives a response that provides an explanation for the behavior. There is no instance where the writer abandons a thought or approach and explicitly tries a different one, w...	no	<count>0</count>	The text does not exhibit backward chaining behavior. The writer is describing a problem they are experiencing with LaTeX and seeking an explanation, but they are not working towards a goal and then reasoning backward to achieve it. Instead, the writer is presenting their issue and receiving a response that explains th...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing a result to a known value or checking the result of a calculation. The text appears to be a discussion about LaTeX and typography styles, with no instances of self-verification or validation of i...	yes	yes	computer science	TeX/LaTeX typesetting	The text describes a problem with LaTeX not indenting the first paragraph in a section, despite using the `\par` command. The response explains that this is a common style in English-language typography, implying that the behavior is intended, and also suggests that the user should have consulted the FAQ, providing a s...
http://www.mathworks.com/help/curvefit/bspligui.html?requestedDomain=www.mathworks.com&nocookie=true	# Documentation ### This is machine translation Translated by Mouse over text to see original. Click the button below to return to the English verison of the page. # bspligui Experiment with B-spline as function of its knots ## Syntax `bspligui ` ## Description `bspligui ` starts a graphical user interface (GUI...	2016-10-24 04:13:21	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 1, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The provided text does not exhibit any backtracking behavior. It is a descriptive passage explaining the properties and behavior of B-splines, and it presents information in a linear and log...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) math ## Text domain (specific) Numerical Analysis, specifically B-splines and Curve Fitting ## Rationale The text does not describe a specific problem to be solved, but rather provides an explanati...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by checking the result of a ca...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a descr...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided is a descriptive documentation of B-splines and their properties. It explains how B-splines work, their characteristics, and how they c...	no	<count>0</count>	The provided text does not exhibit any backtracking behavior. It is a descriptive passage explaining the properties and behavior of B-splines, and it presents information in a linear and logical manner without any indication of the writer abandoning a thought or approach and trying a different one. The text is written ...	no	<count>0</count>	The text provided is a descriptive documentation of B-splines and their properties. It explains how B-splines work, their characteristics, and how they change with different knot sequences. The text does not exhibit backward-chaining behavior, which involves working towards a goal by starting from the goal and reasonin...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by checking the result of a calculation. The text appears to be a descriptive explanation of the properties and behavior of B-splines, providing observations and facts about ...	no	no	math	Numerical Analysis, specifically B-splines and Curve Fitting	The text does not describe a specific problem to be solved, but rather provides an explanation and exploration of the properties of B-splines, a mathematical concept used in curve fitting and numerical analysis. The text is descriptive and informative, aiming to educate the reader about the behavior and characteristics...
https://cs.stackexchange.com/questions/110638/constraint-headers-format-in-chr	# Constraint headers format in CHR I'm new to CHR and I was wondering if it makes sense to have have functions as arguments for constraint heads in a rule. I know that in the body of the rule this is possible. E.g. Is C(X-Y) legal here? C(X), C(X-Y), C(Y) => C(X * Y)	2019-08-17 18:13:44	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The text does not exhibit any backtracking behavior. The writer presents a question and provides an example to illustrate their point, but does not abandon a thought or try a different appr...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? no ## Text domain (broad) computer science ## Text domain (specific) Constraint Programming, Constraint Handling Rules (CHR) ## Rationale The text mentions a specific programming concept (Constraint Handling Rules) and ask...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or verifying calculations. The te...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting. It appears to be a question about the syntax and semantics of Constraint Handling Rules (CHR), specifica...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. The writer is asking a question about the syntax of Constraint Handling Rules (CHR) and providing a...	no	<count>0</count>.	The text does not exhibit any backtracking behavior. The writer presents a question and provides an example to illustrate their point, but does not abandon a thought or try a different approach. The text is a straightforward inquiry about the syntax of constraint headers in CHR, without any indication of the writer re-...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. The writer is asking a question about the syntax of Constraint Handling Rules (CHR) and providing an example to illustrate their query. They are not working towards a goal and then reasoning backward to achieve it. Instead, they are seeking clarification on the rule...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or verifying calculations. The text appears to be a question about the syntax and validity of a specific rule in Constraint Handling Rules (CHR), and it provides an example to i...	yes	no	computer science	Constraint Programming, Constraint Handling Rules (CHR)	The text mentions a specific programming concept (Constraint Handling Rules) and asks about the legality of a particular syntax (having functions as arguments for constraint heads in a rule), indicating a problem or question about the usage of CHR. The text does not provide a solution to this problem, but rather seeks ...
https://www.or-exchange.org/questions/9405/how-to-use-relax-a-constraint-in-cp-optimizer	# how to use relax a constraint in CP optimizer? 0 Hello all: I want to use relax for a constraint in CP optimizer,so I labeled this constraint. But it does not work. using CP; forall(jp in book) { DueC:endOf(JobProcess[jp])<=2; } How to releaze this funciton? Thanks. asked 17 Mar '14, 22:06 spzcwg 11●2●2●5 accept r...	2020-07-08 23:13:06	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The text provided is a conversation between users on a forum, where they discuss how to use the relax function in CP Optimizer. The conversation involves questions, answers, and clarificati...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Computer Science, Optimization, Constraint Programming ## Rationale The text discusses using CP Optimizer, a constraint programming tool, and the user is trying ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? yes ## Number of answer verification steps <count>3</count>. ## Rationale The text contains a series of questions and responses where the original poster (spzcwg) is trying to resolve an issue with relaxing a constraint in CP Optimizer. The r...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided is a conversation between users on a forum, discussing how to use the "relax" function in CP Optimizer. The conversation involves quest...	no	<count>0</count>.	The text provided is a conversation between users on a forum, where they discuss how to use the relax function in CP Optimizer. The conversation involves questions, answers, and clarifications, but there is no instance where the writer explicitly abandons a thought and backtracks to a previous computation. The users as...	no	<count>0</count>	The text provided is a conversation between users on a forum, discussing how to use the "relax" function in CP Optimizer. The conversation involves questions, answers, and clarifications, but it does not exhibit backward-chaining behavior. Backward chaining typically involves starting with a goal and working backward t...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The conversation is primarily about troubleshooting and seeking help with using the relax function in CP Optimizer, with users di...	yes	yes	science	Computer Science, Optimization, Constraint Programming	The text discusses using CP Optimizer, a constraint programming tool, and the user is trying to relax a constraint in their model. The conversation revolves around troubleshooting the issue, with other users providing suggestions and solutions, including version compatibility and the use of OPL scripts. The text includ...	How to use relax a constraint in CP optimizer?	<think>I want to use relax for a constraint in CP optimizer, so I labeled this constraint. But it does not work. I am using CPLEX 12.2. I realize that I might need to use an OPL script or pass conflict/relax options to oplrun, which I did not do. I need to check if the version of CPLEX I am using supports the relaxatio...
https://proofwiki.org/wiki/Definition:Unit_Normal	# Definition:Unit Normal ## Definition Let $S$ be a surface in ordinary $3$-space. Let $P$ be a point of $S$. Let $\mathbf n$ be a normal to $S$ at $P$ such that $\mathbf n$ is a unit vector. Then $\mathbf n$ is known as a unit normal. ## Also known as It is a popular convention to use the hat notation for a uni...	2021-09-19 04:43:42	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text is a formal definition of a unit normal in mathematics, presented in a step-by-step manner without any indication of the writer exploring different approaches or abandonin...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) math ## Text domain (specific) Vector Calculus, Geometry ## Rationale The text provides a definition of a unit normal in the context of surfaces in 3-space, and explains the notation used to denote...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text is a definition of a unit normal in the context of a surface in 3-space. It describes the concept and provides notation conventions but does not include any c...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text is a definition of a unit normal in the context of mathematics, specifically geometry. It does not contain any explicit subgoal setting or steps to ach...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text is a definition of a unit normal in the context of a surface in 3-space. It starts with the basic concepts (surface, point, normal vect...	no	<count>0</count>.	The provided text is a formal definition of a unit normal in mathematics, presented in a step-by-step manner without any indication of the writer exploring different approaches or abandoning a line of thought. The text proceeds logically from defining a surface and a point on it, to introducing a normal vector at that ...	no	<count>0</count>	The provided text is a definition of a unit normal in the context of a surface in 3-space. It starts with the basic concepts (surface, point, normal vector) and builds upon them to define a unit normal. The text proceeds in a logical and sequential manner, without working backward from a goal to achieve it. The definit...	no	<count>0</count>.	The provided text is a definition of a unit normal in the context of a surface in 3-space. It describes the concept and provides notation conventions but does not include any calculations, comparisons to known values, or explicit checks of results that would qualify as verification steps. The text is purely definitiona...	no	no	math	Vector Calculus, Geometry	The text provides a definition of a unit normal in the context of surfaces in 3-space, and explains the notation used to denote it. There is no problem statement or solution presented, but rather a conceptual explanation of a mathematical concept. The language and terminology used, such as "surface", "normal", "unit ve...
https://hal-ens-lyon.archives-ouvertes.fr/ensl-01420358	SYNTOMIC COMPLEXES AND p-ADIC NEARBY CYCLES - Archive ouverte HAL Access content directly Journal Articles Inventiones Mathematicae Year : 2017 SYNTOMIC COMPLEXES AND p-ADIC NEARBY CYCLES (1) , (2) 1 2 Pierre Colmez • Function : Author Wieslawa Niziol • Function : Author • PersonId : 996766 Abstract We compute synt...	2023-01-31 20:42:59	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text appears to be a formal academic article abstract and does not contain any instances of backtracking behavior. The language used is technical and formal, and the authors pr...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Number Theory, Algebraic Geometry ## Rationale The text appears to be a mathematical research paper that presents a solution to a specific problem in number theory a...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a mathematical research article abstract and does not contain any explicit verification steps where the authors check their own work by comparin...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a mathematical research article abstract and does not contain any explicit subgoal setting or answer verification steps. The text present...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a mathematical research article, and its structure is typical of academic writing in this field. The authors start by int...	no	<count>0</count>.	The provided text appears to be a formal academic article abstract and does not contain any instances of backtracking behavior. The language used is technical and formal, and the authors present their research and findings in a linear and structured manner without any indication of abandoning a thought or approach and ...	no	<count>0</count>	The provided text appears to be a mathematical research article, and its structure is typical of academic writing in this field. The authors start by introducing the topic, stating the main result, and then providing a detailed proof and discussion of the implications. The text does not exhibit backward-chaining behavi...	no	<count>0</count>.	The provided text appears to be a mathematical research article abstract and does not contain any explicit verification steps where the authors check their own work by comparing results to known values or checking calculations. The text is primarily descriptive, outlining the main results and contributions of the artic...	no	yes	math	Number Theory, Algebraic Geometry	The text appears to be a mathematical research paper that presents a solution to a specific problem in number theory and algebraic geometry, specifically regarding syntomic complexes and p-adic nearby cycles. The authors provide a comparison isomorphism between truncated sheaves of p-adic nearby cycles and syntomic coh...
http://www.etiquettehell.com/smf/index.php?topic=51263.27945	• March 02, 2015, 02:39:29 AM ### Author Topic: Special Snowflake Stories (Read 6043406 times) 0 Members and 5 Guests are viewing this topic. • Super Hero! • Posts: 8935 • Operating the logic hammer since 1987. ##### Re: Special Snowflake Stories « Reply #27945 on: July 15, 2014, 09:36:14 AM » I am seconding the re...	2015-03-02 07:39:29	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The text provided is a series of forum posts where users share their stories and experiences. Upon reviewing the text, there is no evidence of backtracking behavior, where the writer realiz...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? no ## Text domain (broad) social sciences ## Text domain (specific) Human Behavior and Social Interactions, specifically stories about people's unusual or inappropriate behavior in various everyday situations. ## Rationale...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any instances where the writer explicitly checks their own work, such as comparing the result to a known value or checking the result of a ca...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided is a collection of forum posts where users share their personal stories and experiences. Upon analyzing the text, I did not find any in...	no	<count>0</count>.	The text provided is a series of forum posts where users share their stories and experiences. Upon reviewing the text, there is no evidence of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The conversations flow linearly, with each user respondi...	no	<count>0</count>	The text provided is a collection of forum posts where users share their personal stories and experiences. Upon analyzing the text, I did not find any instances of backward chaining, where the writer starts with a goal and works backward to achieve it. The posts are mostly narrative and descriptive, with users sharing ...	no	<count>0</count>.	The provided text does not contain any instances where the writer explicitly checks their own work, such as comparing the result to a known value or checking the result of a calculation. The text appears to be a collection of forum posts sharing personal anecdotes and stories, with no apparent verification steps taken ...	yes	no	social sciences	Human Behavior and Social Interactions, specifically stories about people's unusual or inappropriate behavior in various everyday situations.	The text is a collection of stories shared by users about their experiences with people who exhibit unusual or inappropriate behavior, often referred to as "special snowflakes." The stories cover a range of situations, including encounters at grocery stores, malls, and other public places. While some stories may imply ...
https://www.semanticscholar.org/paper/A-note-on-gauge-theories-coupled-to-gravity-Banks-Johnson/cc4d2cb29a3a559c33d44a2971a4c3e11bbf7c77	# A note on gauge theories coupled to gravity @article{Banks2006ANO, title={A note on gauge theories coupled to gravity}, author={Thomas Banks and Matt Johnson and Assaf Shomer}, journal={Journal of High Energy Physics}, year={2006}, volume={2006}, pages={049-049} } • Published 29 June 2006 • Physics • Journal of High...	2023-02-01 19:26:24	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text appears to be a collection of abstracts and references from various physics papers, and does not contain any instances of backtracking behavior. The text is written in a f...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) physics ## Text domain (specific) Theoretical Physics, specifically Gauge Theories and Gravity ## Rationale The text appears to be a collection of abstracts and references from various physics pap...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a collection of abstracts and references from various physics papers, primarily discussing topics related to gauge theories, gravity, and the We...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided appears to be a collection of abstracts and references from various physics papers, primarily focused on the Weak Gravity Conjecture an...	no	<count>0</count>.	The provided text appears to be a collection of abstracts and references from various physics papers, and does not contain any instances of backtracking behavior. The text is written in a formal and academic tone, and the authors present their research and findings in a straightforward and linear manner, without any in...	no	<count>0</count>	The text provided appears to be a collection of abstracts and references from various physics papers, primarily focused on the Weak Gravity Conjecture and related topics in theoretical physics. Upon examination, there is no clear evidence of backward-chaining behavior, where the writer starts with a goal and works back...	no	<count>0</count>.	The provided text appears to be a collection of abstracts and references from various physics papers, primarily discussing topics related to gauge theories, gravity, and the Weak Gravity Conjecture. While the text mentions various calculations, derivations, and analyses, it does not explicitly describe verification ste...	no	yes	physics	Theoretical Physics, specifically Gauge Theories and Gravity	The text appears to be a collection of abstracts and references from various physics papers, focusing on gauge theories coupled to gravity, the weak gravity conjecture, and related topics in theoretical physics. While the text does not explicitly state a problem, it presents various solutions, derivations, and analyses...
https://wiki.polkadot.network/docs/learn-nomination-pools	# Nomination Pools Nomination Pools are live on Polkadot! Nomination pools are a new feature for Polkadot’s staking system that allows users to pool their DOT tokens together on-chain to nominate validators and receive rewards, significantly improving the system’s scalability. Now, anyone with as little as 1 DOT can ...	2023-02-09 03:51:45	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a well-structured and informative article about Nomination Pools on Polkadot, explaining the concept, its features, and h...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) computer science ## Text domain (specific) Blockchain and Cryptocurrency (Polkadot Staking System) ## Rationale The text discusses the concept of Nomination Pools on the Polkadot blockchain, whic...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or verifying calculations. The te...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be an info...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided does not exhibit backward-chaining behavior. Backward chaining involves starting with a goal and working backward to determine the step...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a well-structured and informative article about Nomination Pools on Polkadot, explaining the concept, its features, and how it works. The text does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a ...	no	<count>0</count>	The text provided does not exhibit backward-chaining behavior. Backward chaining involves starting with a goal and working backward to determine the steps needed to achieve that goal. In this text, the author presents information about Nomination Pools on Polkadot in a straightforward and explanatory manner, without st...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or verifying calculations. The text appears to be informative, describing the features and functionality of Nomination Pools on Polkadot, without including any self-checking or ...	yes	yes	computer science	Blockchain and Cryptocurrency (Polkadot Staking System)	The text discusses the concept of Nomination Pools on the Polkadot blockchain, which is a solution to the problem of low-stake users being unable to participate in the staking system due to the high minimum active nomination threshold. The text explains how Nomination Pools allow users to pool their DOT tokens together...
https://www.studypug.com/us/en/math/math-8/solve-linear-equations-by-elimination	# Solving systems of linear equations by elimination ### Solving systems of linear equations by elimination Solving a system of linear equations by elimination means by adding or subtracting the equations to get rid of a common variable.	2017-01-20 09:53:31	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 2, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It presents a straightforward explanation of solving systems of linear equations by elimination without abandoning any thoughts...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Algebra, Linear Equations ## Rationale The text does not describe a specific problem to be solved, but rather presents a general method (elimination) for solving sys...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing results to known values or checking the outcome of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting or steps for solving systems of linear equations by elimination. It only provides a brief description of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text does not exhibit backward-chaining behavior. It starts by introducing the concept of solving systems of linear equations by elimination...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It presents a straightforward explanation of solving systems of linear equations by elimination without abandoning any thoughts or trying alternative approaches. The text maintains a linear and coherent structure, indicating no instances of backtracking.	no	<count>0</count>	The provided text does not exhibit backward-chaining behavior. It starts by introducing the concept of solving systems of linear equations by elimination and then explains the method, which is a straightforward approach. There is no evidence of the writer starting from a goal and working backward to achieve it. The tex...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing results to known values or checking the outcome of a calculation. The text only provides a general description of the method for solving systems of linear equations by elimination without demonst...	no	yes	math	Algebra, Linear Equations	The text does not describe a specific problem to be solved, but rather presents a general method (elimination) for solving systems of linear equations, which implies that it provides a solution to a broader class of problems in algebra. The language used is instructional, indicating that the text is explaining how to s...
https://msia.centre-mersenne.org/articles/10.5802/msia.19/	Rare event simulation for electronic circuit design MathematicS In Action, Volume 11 (2022) no. 1, pp. 91-108. In this work, we propose an algorithm to simulate rare events for electronic circuit design. Our approach heavily relies on a smart use of importance sampling, which enables us to tackle probabilities of the ...	2022-12-10 06:30:48	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 1, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a formal academic paper or article discussing rare event simulation for electronic circuit design, with a list...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) math/science ## Text domain (specific) Electrical Engineering, specifically Electronic Circuit Design and Simulation ## Rationale The text discusses a specific problem in electronic circuit desig...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a research paper or academic article about rare event simulation for electronic circuit design. It includes a list of references and citations, ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a resea...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a research paper or academic article discussing rare event simulation for electronic circuit design. The authors propose ...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a formal academic paper or article discussing rare event simulation for electronic circuit design, with a list of references and citations. The text presents a straightforward and structured discussion of the topic, without any instances of ...	no	<count>0</count>	The provided text appears to be a research paper or academic article discussing rare event simulation for electronic circuit design. The authors propose an algorithm and discuss its efficiency, but the text does not exhibit backward-chaining behavior. Backward chaining typically involves starting with a goal and workin...	no	<count>0</count>.	The provided text appears to be a research paper or academic article about rare event simulation for electronic circuit design. It includes a list of references and citations, but does not contain any explicit verification steps where the authors check their own work by comparing results to known values or verifying ca...	yes	yes	math/science	Electrical Engineering, specifically Electronic Circuit Design and Simulation	The text discusses a specific problem in electronic circuit design, which is simulating rare events. The authors propose an algorithm to tackle this problem, utilizing importance sampling to compute rare default probabilities and associated quantiles. The text is filled with technical terms and references to other rese...
http://it-pomoc.pl/sap/definicja/deployment-scm-apo-snp	deployment co to jest ABAP definicja deployment (SCM-APO-SNP). Co znaczy determines which demands can be fulfilled by the. Znaczenie deployment definicja. Czy przydatne? # Definicja deployment (SCM-APO-SNP) Co znaczy: Planning process that determines which demands can be fulfilled by the existing supply, after prod...	2019-10-23 18:06:14	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a straightforward explanation of the term "deployment" in the context of SCM-APO-SNP, providing a definition and describi...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) science ## Text domain (specific) Supply Chain Management (SCM) and SAP Systems ## Rationale The text appears to be a definition and explanation of the term "deployment" in the context of Supply Ch...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of a calc...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a definition an...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text appears to be a definition and explanation of the term "deployment" in the context of SAP and SCM-APO-SNP. It describes the planning process and...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a straightforward explanation of the term "deployment" in the context of SCM-APO-SNP, providing a definition and describing its purpose and outcome. There are no instances where the writer abandons a thought or approach and tries a different one, such ...	no	<count>0</count>	The text appears to be a definition and explanation of the term "deployment" in the context of SAP and SCM-APO-SNP. It describes the planning process and its outcomes, but it does not exhibit backward-chaining behavior, where the writer starts from a goal and works backward to achieve it. The text is primarily informat...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of a calculation. The text appears to be a descriptive explanation of the deployment process in the context of SAP's SCM-APO-SNP, defining what deploymen...	no	no	science	Supply Chain Management (SCM) and SAP Systems	The text appears to be a definition and explanation of the term "deployment" in the context of Supply Chain Management (SCM) and SAP systems, specifically in the module SCM-APO-SNP. It describes the planning process and its outcomes, but does not pose a problem or offer a solution to a specific issue. The text is infor...
https://arts.units.it/handle/11368/2886259	Results are reported from a search for the top squark $${\tilde{\mathrm{t}}}_1$$, the lighter of the two supersymmetric partners of the top quark. The data sample corresponds to 19.7 fb−1 of proton-proton collisions at $$\sqrt{s}=8$$ TeV collected with the CMS detector at the LHC. The search targets $${\tilde{\mathrm{t...	2022-07-03 14:39:26	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal scientific report that presents the results of a search for the top squark in proton-proton collisions. The text...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) science ## Text domain (specific) Particle Physics, Supersymmetry ## Rationale The text appears to be a scientific report on a search for the top squark, a supersymmetric partner of the top quark, ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calcula...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a scientific re...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided appears to be a scientific report on a search for the top squark, a supersymmetric partner of the top quark, using data from proton-pro...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal scientific report that presents the results of a search for the top squark in proton-proton collisions. The text follows a logical and structured approach, describing the search methodology, the data sample, and the results. There are no insta...	no	<count>0</count>	The text provided appears to be a scientific report on a search for the top squark, a supersymmetric partner of the top quark, using data from proton-proton collisions. The report describes the methodology, results, and conclusions of the search. Upon examination, there is no evidence of backward-chaining behavior, whe...	no	<count>0</count>.	The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text reports on the results of a search for the top squark and the exclusion of a region of possible masses, but it does not describe ...	no	no	science	Particle Physics, Supersymmetry	The text appears to be a scientific report on a search for the top squark, a supersymmetric partner of the top quark, in proton-proton collisions at the LHC. The report describes the methodology, data analysis, and results of the search, but does not pose a specific problem to be solved or provide a solution to a probl...	What are the highest excluded masses for the top squark $${\tilde{\mathrm{t}}}_1$$ and the lightest neutralino $${\tilde{\chi}}_1^0$$?	<think>I need to find the highest excluded masses for the top squark and the lightest neutralino. The text mentions that the results exclude a region of the two-dimensional plane of possible masses for these particles. I should look for the specific values given for the highest excluded masses. The text clearly states ...
https://www.transtutors.com/questions/assignment-2-t-o-t-a-l-marks-35-question-1-job-costing-20-marks-wonkys-ltd-is-a-buil-1152371.htm	# ASSIGNMENT 2 ( T o t a l Marks 35) Question 1) Job Costing (20 Marks) Wonkys Ltd. is a builder of... ASSIGNMENT 2 ( T o t a l Marks 35) Question 1) Job Costing (20 Marks) Wonkys Ltd. is a builder of single family homes and multiple-unit town homes. The costs for the company are divided into five separate categories:...	2018-07-21 11:56:45	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a collection of assignment questions, problems, and solutions related to accounting and finance, without any n...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) business/accounting ## Text domain (specific) Cost Accounting, Financial Analysis ## Rationale The text appears to be from an accounting assignment, with specific questions and problems related t...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a collection of assignment questions and problems related to accounting and finance, along with some solutions and industry data. However, there...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a collection of assignment questions and problems related to accounting and finance, along with some solutions and data. However, there i...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a collection of assignment questions, problems, and solutions related to accounting and finance. Upon examining the text,...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a collection of assignment questions, problems, and solutions related to accounting and finance, without any narrative or explanatory text that would indicate the writer abandoning a thought or approach and trying a different one. There are ...	no	<count>0</count>	The provided text appears to be a collection of assignment questions, problems, and solutions related to accounting and finance. Upon examining the text, there is no evidence of backward-chaining behavior, where the writer starts with a goal and works backward to achieve it. The text is primarily composed of straightfo...	no	<count>0</count>.	The provided text appears to be a collection of assignment questions and problems related to accounting and finance, along with some solutions and industry data. However, there is no explicit evidence of the writer checking their own work or verifying their results by comparing them to known values or recalculating the...	yes	yes	business/accounting	Cost Accounting, Financial Analysis	The text appears to be from an accounting assignment, with specific questions and problems related to job costing, financial ratios, and investment valuation. The presence of terms like "Direct material", "Overhead production costs", "Net Profit Margin", and "Return on Equity" suggest a strong connection to accounting ...	How does P & P determine the value for Levels 1, 2 and 3 investments?	<think>I need to find the specific method P & P uses to determine the value for Levels 1, 2, and 3 investments. I should look for any details or explanations in the text that describe the valuation process for each level. I'll have to backtrack if I don't find clear information on how each level is valued.</think> <ans...
https://en.wikipedia.org/wiki/Referential_integrity	# Referential integrity Jump to: navigation, search An example of a database that has not enforced referential integrity. In this example, there is a foreign key (`artist_id`) value in the album table that references a non-existent artist — in other words there is a foreign key value with no corresponding primary key ...	2016-09-26 11:04:03	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 11, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of referential integrity, its definition, and its implications in databa...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Computer Science, Database Systems ## Rationale The text describes a problem related to database management, specifically the concept of referential integrity, w...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calcu...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be an info...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. It provides a definition and explanation of referential integrity, along with examples and formaliz...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of referential integrity, its definition, and its implications in database management. The text follows a logical flow, and there are no instances where the writer abandons a thought or approach and back...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. It provides a definition and explanation of referential integrity, along with examples and formalization, but it does not start with a goal and work backward to achieve it. The text is primarily descriptive and explanatory, aiming to educate the reader about the con...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calculation. The text is primarily descriptive and explanatory, discussing the concept of referential integrity in databases, its importance, and its...	yes	yes	science	Computer Science, Database Systems	The text describes a problem related to database management, specifically the concept of referential integrity, which ensures that relationships between tables remain consistent. The problem is illustrated with an example of a database that has not enforced referential integrity, resulting in inconsistent data. The sol...	What happens when referential integrity is not enforced in a relational database?	<think>I think I should try to find an example in the text that shows what happens when referential integrity is not enforced. The text mentions an example where an artist called "Aerosmith" with an `artist_id` of `4` was deleted from the artist table, but the album "Eat the Rich" still referred to this artist. This me...
http://do.unicyb.kiev.ua/index.php/department-seminar/320--lah-distributions-stirling-numbers-and-phase-transitions-for-convex-hulls-of-random-walks	# 21 квітня 2021 року о 14 год 15 хв Let $$X_1,X_2,\ldots$$ be independent random vectors in $$\mathbb{R}^d$$ having an absolutely continuous distribution. Consider the random walk $$S_k:=X_1+\ldots+X_k$$, and let $$P_n:={\rm conv}\{0,S_1,S_2,\ldots,S_n\}$$ be the convex hull of its first $$n$$ steps. We shall be inte...	2022-08-13 12:54:12	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a formal announcement or description of a mathematical topic, including definitions, introductions to concepts...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? no ## Text domain (broad) math ## Text domain (specific) Probability Theory, Random Walks, and Convex Geometry ## Rationale The text describes a mathematical problem related to random walks, convex hulls, and polytopes, an...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calcu...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting or steps to solve a problem. It appears to be an announcement for a lecture or presentation on a mathemat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text appears to be a mathematical discussion about random walks, convex hulls, and polytopes, with a specific research question in mind. The author i...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a formal announcement or description of a mathematical topic, including definitions, introductions to concepts, and references to specific artworks and events. There are no instances where the writer abandons a thought or approach and explic...	no	<count>0</count>	The text appears to be a mathematical discussion about random walks, convex hulls, and polytopes, with a specific research question in mind. The author introduces the problem, defines the relevant concepts, and mentions a formula and a distribution related to the problem. However, the text does not exhibit backward-cha...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calculation. The text appears to be an announcement or introduction to a mathematical topic, presenting concepts and formulas without performing any ...	yes	no	math	Probability Theory, Random Walks, and Convex Geometry	The text describes a mathematical problem related to random walks, convex hulls, and polytopes, and asks whether the number of k-dimensional faces of a polytope is equal to the maximal possible number with high probability. It also mentions an explicit formula involving Stirling numbers and introduces a new distributio...
https://gamedev.stackexchange.com/questions/165494/my-character-jumps-stops-and-if-i-try-to-jump-it-jumps	# My character jumps, stops and if I try to jump it jumps! There is this thing. I have Coded to check if my character is grounded. And it works fine. But problem is that I have added a code to jump. When my character jumps while checking my character is grounded it works but when the character finishes jumping and tri...	2020-08-08 15:46:14	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit backtracking behavior. The writer presents a problem, explains their code, and receives suggestions from others. The writer does not abandon a thought or ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) computer science ## Text domain (specific) Game Development, Programming (C# and Unity) ## Rationale The text describes a problem with a character's jumping mechanics in a game, where the charact...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a ca...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a discussio...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning ...	no	<count>0</count>.	The provided text does not exhibit backtracking behavior. The writer presents a problem, explains their code, and receives suggestions from others. The writer does not abandon a thought or approach and then revert to a previous one. The conversation flows linearly, with the writer and others discussing potential soluti...	no	<count>0</count>	The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning backward to determine the necessary steps to achieve it. In the given text, the writer is describing a problem with their character's jumping mechanics and seeking hel...	no	<count>0</count>.	The provided text does not contain explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a discussion about a coding issue and potential solutions, but it does not include any instances of the writer...	yes	yes	computer science	Game Development, Programming (C# and Unity)	The text describes a problem with a character's jumping mechanics in a game, where the character's "is grounded" check is not working correctly after jumping. The problem is identified, and potential solutions are discussed, including modifying the "is grounded" check function and refactoring the code for better readab...	How can I fix the issue where my character's `isgrounded` boolean changes to true even when the character isn't actually grounded after jumping?	<think>I think I should first understand why the `isgrounded` boolean is changing to true prematurely. I need to look at the `isGrounded` function and see if there's a mistake in how it's checking for collisions. I should also consider the radius and the way the function checks for collisions with the ground. I might n...
https://blender.stackexchange.com/questions/216149/how-to-get-frame-by-frame-object-location-in-blender-2-8?noredirect=1	# How to get frame-by-frame object location in Blender 2.8+ I am trying to get the frame-by-frame location of the softbody physics simulation (collision of softbody cube with a plane). I am incrementing the frame of the simulation using set_frame However every time I get the location, whether it be from bpy.data.obj...	2021-07-28 05:21:32	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The writer presents a problem they are trying to solve and describes the steps they have taken so far. They mention trying different approaches, such as using `bpy.data.objects["Cube"].matr...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? no ## Text domain (broad) computer science ## Text domain (specific) 3D Modeling and Animation (Blender scripting) ## Rationale The text describes a problem with getting the frame-by-frame location of a softbody physics si...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The writer is describing a problem they are experiencing with getting the frame-by-frame location of a softbody physics simulation in Blender. They provide their code and descr...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a question abou...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. The writer is describing a problem they are trying to solve (getting frame-by-frame object location...	no	<count>0</count>.	The writer presents a problem they are trying to solve and describes the steps they have taken so far. They mention trying different approaches, such as using `bpy.data.objects["Cube"].matrix_world.translation` and `bpy.data.objects["Cube"].location`, and updating the view layer with `bpy.context.view_layer.update()`. ...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. The writer is describing a problem they are trying to solve (getting frame-by-frame object location in Blender) and the steps they have taken so far to try to solve it. They are working forward from their goal, describing their approach and the issues they have enco...	no	<count>0</count>.	The writer is describing a problem they are experiencing with getting the frame-by-frame location of a softbody physics simulation in Blender. They provide their code and describe the steps they have taken to try to solve the issue, including updating the view layer and checking the location of the object at different ...	yes	no	computer science	3D Modeling and Animation (Blender scripting)	The text describes a problem with getting the frame-by-frame location of a softbody physics simulation in Blender 2.8+ using Python scripting. The user is trying to increment the frame and get the location of the cube, but it always returns the initial location, despite the cube moving in the simulation. The user has t...
https://zbmath.org/?q=an:1280.62055	# zbMATH — the first resource for mathematics Honest and adaptive confidence sets in $$L_p$$. (English) Zbl 1280.62055 Summary: We consider the problem of constructing honest and adaptive confidence sets in $$L_p$$-loss (with $$p\geq 1$$ and $$p < \infty$$) over sets of Sobolev-type classes, in the setting of nonparam...	2021-09-26 04:17:53	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal mathematical article that presents a problem, states the objective, and discusses the approach to solving it wit...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Nonparametric Statistics, specifically Confidence Sets in Gaussian Regression ## Rationale The text discusses the problem of constructing honest and adaptive confid...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a mathematical paper summary and reference list. It does not contain any explicit verification steps where the writer checks their own work by c...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a mathe...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a mathematical research paper discussing confidence sets in nonparametric Gaussian regression. The author presents variou...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal mathematical article that presents a problem, states the objective, and discusses the approach to solving it without any indication of the author reconsidering or abandoning a line of thought to try a different approach. The text is structured...	no	<count>0</count>	The provided text appears to be a mathematical research paper discussing confidence sets in nonparametric Gaussian regression. The author presents various regimes for adaptation and provides proofs and references to support their claims. However, upon examining the text, there is no clear evidence of backward-chaining ...	no	<count>0</count>.	The provided text appears to be a mathematical paper summary and reference list. It does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calculation. The text is primarily focused on presenting research findings, referen...	yes	yes	math	Nonparametric Statistics, specifically Confidence Sets in Gaussian Regression	The text discusses the problem of constructing honest and adaptive confidence sets in $L_p$-loss for nonparametric Gaussian regression, which indicates the presence of a problem. The text also provides a solution by identifying two main regimes for adaptation and proving a matching lower bound, which suggests that a so...	What are the main regimes identified for constructing honest and adaptive confidence sets in $L_p$-loss when $p \geq 2$?	<think>I need to identify the regimes for constructing honest and adaptive confidence sets in $L_p$-loss when $p \geq 2$. The text mentions two main regimes: one where adaptation is possible without restrictions, and another where critical regions have to be removed. I should also verify if these regimes depend on ...
https://www.maplesoft.com/support/help/addons/view.aspx?path=Finance%2FBlackScholesTrinomialTree	BlackScholesTrinomialTree - Maple Help Home : Support : Online Help : Mathematics : Finance : Lattice Methods : BlackScholesTrinomialTree Finance BlackScholesTrinomialTree create a recombining trinomial tree approximating a Black-Scholes process Calling Sequence BlackScholesTrinomialTree(${S}_{0}$, r, d, v, T, N...	2022-06-30 08:43:22	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 37, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The provided text does not exhibit any backtracking behavior. It is a technical document describing the usage and functionality of the BlackScholesTrinomialTree command in Maple, a computer ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Financial Mathematics, specifically Options Pricing using the Black-Scholes Model ## Rationale The text does not present a specific problem to be solved, but rather ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a docum...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided is a technical documentation of the BlackScholesTrinomialTree command in Maple, a computer algebra system. It describes the syntax, par...	no	<count>0</count>	The provided text does not exhibit any backtracking behavior. It is a technical document describing the usage and functionality of the BlackScholesTrinomialTree command in Maple, a computer algebra system. The text presents a structured and linear explanation of the command's parameters, usage, and examples, without an...	no	<count>0</count>	The text provided is a technical documentation of the BlackScholesTrinomialTree command in Maple, a computer algebra system. It describes the syntax, parameters, and usage of the command, along with examples and references. The text does not exhibit backward-chaining behavior, which involves working towards a goal by s...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a documentation of the BlackScholesTrinomialTree command in Maple, providing examples of its usage and par...	no	yes	math	Financial Mathematics, specifically Options Pricing using the Black-Scholes Model	The text does not present a specific problem to be solved, but rather provides a detailed description of the BlackScholesTrinomialTree command in Maple, which is used to create a recombining trinomial tree approximating a Black-Scholes process. The text includes examples of how to use the command, inspect the resulting...	How do you create a recombining trinomial tree approximating a Black-Scholes process using the BlackScholesTrinomialTree command in Maple?	<think>I need to use the BlackScholesTrinomialTree command with the correct parameters to create a trinomial tree. I will set the initial value of the underlying asset, the risk-free rate, the dividend rate, the volatility, the time to maturity, and the number of steps. I will first try with constant parameters and the...
https://docs.helics.org/en/develop/user-guide/examples/advanced_examples/advanced_brokers_hierarchies.html	# Brokers - Hierarchies¶ This example shows how to configure a HELICS co-simulation to allow the use of multiple brokers in a single co-simulation. ## Where is the code?¶ The code for the Advanced examples can be found in the HELICS-Examples repository on GitHub. This example on broker hierarchies can be found here....	2022-08-12 14:58:31	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of how to configure a HELICS co-simulation to use multiple brokers, with...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Computer Science, Distributed Systems, Co-simulation ## Rationale The text does not describe a specific problem to be solved, but rather provides a solution and e...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calcula...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a tutor...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. It appears to be a tutorial or instructional guide on how to configure a HELICS co-simulation to us...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of how to configure a HELICS co-simulation to use multiple brokers, without abandoning any thoughts or approaches. The text follows a logical sequence, providing examples, explanations, and instructions,...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. It appears to be a tutorial or instructional guide on how to configure a HELICS co-simulation to use multiple brokers in a single co-simulation. The text starts by introducing the topic, then provides an overview of the example, and finally walks the reader through ...	no	<count>0</count>.	The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. Although the writer mentions that "These results are identical to those in the base Advanced Default example; this is expected as only the...	no	yes	science	Computer Science, Distributed Systems, Co-simulation	The text does not describe a specific problem to be solved, but rather provides a solution and example of how to configure a HELICS co-simulation to use multiple brokers in a single co-simulation. The text is focused on explaining the concept of broker hierarchies and how to implement them in a co-simulation, providing...
https://www.physicsforums.com/threads/difference-between-linear-and-nonlinear-transformation.351908/	# Difference between linear and nonlinear transformation 1. Nov 4, 2009 ### yaganon right now, my concept for their difference is that linear transformations are 1 to 1, where as nonlinear transformations are not. However, P^n to P^(-1) is a linear transformation, but it's not 1 to 1. the text book def of linear tr...	2018-01-22 07:22:05	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The text provided is a discussion between multiple individuals about the difference between linear and nonlinear transformations. While the original poster, yaganon, expresses confusion and...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Linear Algebra, Vector Spaces, and Transformations ## Rationale The text contains a problem as the original poster, yaganon, is confused about the difference betwee...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writers check their own work by comparing results to known values or by checking the result of a ca...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the model breaks down the problem into smaller, intermediate goals. The conversation appears to be ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided is a discussion between users about the difference between linear and nonlinear transformations. The conversation starts with a user's ...	no	<count>0</count>.	The text provided is a discussion between multiple individuals about the difference between linear and nonlinear transformations. While the original poster, yaganon, expresses confusion and incorrect understanding of linear transformations, there is no instance where they explicitly abandon a thought and try a differen...	no	<count>0</count>	The text provided is a discussion between users about the difference between linear and nonlinear transformations. The conversation starts with a user's confusion about the definition of linear transformations and progresses with other users providing explanations and clarifications. The reasoning in the text is primar...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writers check their own work by comparing results to known values or by checking the result of a calculation. The discussion revolves around clarifying the definition and properties of linear and nonlinear transformations, with users providing...	yes	yes	math	Linear Algebra, Vector Spaces, and Transformations	The text contains a problem as the original poster, yaganon, is confused about the difference between linear and nonlinear transformations and provides an example that seems to contradict their understanding. The solution is provided by Office_Shredder and HallsofIvy, who clarify the definition of a linear transformati...
https://www.aimspress.com/article/10.3934/mbe.2018016/Related.html	Export file: Format • RIS(for EndNote,Reference Manager,ProCite) • BibTex • Text Content • Citation Only • Citation and Abstract A multiscale model for heterogeneous tumor spheroid in vitro . Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA, 30460, USA ## Abstract Full Text(HTM...	2020-10-01 00:35:19	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured description of a multiscale model for heterogeneous tumor spheroid growth in vitro, ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Oncology and Mathematical Modeling ## Rationale The text appears to be a research paper discussing a novel multiscale method for studying heterogeneous tumor sphe...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking calculations. The writer menti...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a resea...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. It appears to be a straightforward presentation of a research paper, describing a novel multiscale ...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured description of a multiscale model for heterogeneous tumor spheroid growth in vitro, without any indication of abandoning a thought or trying a different approach. The text flows logically, introducing the model, its...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. It appears to be a straightforward presentation of a research paper, describing a novel multiscale method for studying tumor spheroid growth in vitro. The author starts by introducing the problem and then presents their solution, explaining the methodology and resul...	no	<count>0</count>.	The text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking calculations. The writer mentions that "The simulation results fit corresponding in vitro experimental observations very well" and that "Our model and its implementations hav...	no	yes	science	Oncology and Mathematical Modeling	The text appears to be a research paper discussing a novel multiscale method for studying heterogeneous tumor spheroid growth in vitro. The paper proposes a solution, a mathematical model, to describe the growth of tumor spheroids, and provides validation and application of the model. There is no explicit problem state...
https://zbmath.org/?q=ut%3Astable+computation	## Found 232 Documents (Results 1–100) 100 MathJax Full Text: ### Identification of the domain, ranges, and values of complex roots of a polynomial with complex coefficients based on stable address sorting. (English. Russian original)Zbl 1485.65055 J. Math. Sci., New York 260, No. 2, 219-229 (2022); translation fro...	2022-09-25 05:55:44	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text appears to be a list of mathematical and computational science publications, with titles, authors, and summaries. There is no evidence of backtracking behavior, such as ph...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) math ## Text domain (specific) Numerical Analysis, Computer Science, Algebra ## Rationale The text appears to be a list of mathematical and computer science research papers, with titles and abstrac...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a list of mathematical and computational science publications, with titles, authors, and keywords. There is no evidence of verification steps, s...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a list of mathematical and computational science research papers, with titles, authors, and publication information. There is no evidence...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a list of mathematical and computational science research papers, with titles, authors, and publication information. Ther...	no	<count>0</count>.	The provided text appears to be a list of mathematical and computational science publications, with titles, authors, and summaries. There is no evidence of backtracking behavior, such as phrases like "Let me try again" or "We need to try a different sequence". The text is a straightforward presentation of research pape...	no	<count>0</count>	The provided text appears to be a list of mathematical and computational science research papers, with titles, authors, and publication information. There is no evidence of backward-chaining behavior, which involves working towards a goal by starting from the goal and reasoning backward. The text is primarily a collect...	no	<count>0</count>.	The provided text appears to be a list of mathematical and computational science publications, with titles, authors, and keywords. There is no evidence of verification steps, such as comparing results to known values or checking calculations, in the text. The text is primarily a collection of bibliographic information ...	no	no	math	Numerical Analysis, Computer Science, Algebra	The text appears to be a list of mathematical and computer science research papers, with titles and abstracts that suggest a focus on numerical analysis, algebra, and computer science. There is no clear problem statement or solution presented in the text, but rather a collection of research papers on various topics rel...
http://www.aimsciences.org/article/doi/10.3934/dcdsb.2015.20.1663	American Institute of Mathematical Sciences 2015, 20(6): 1663-1684. doi: 10.3934/dcdsb.2015.20.1663 Spreading speeds and traveling wave solutions in cooperative integral-differential systems 1 Department of Mathematics, University of Louisville, Louisville, KY 40292 2 School of Mathematics and Statistical Sciences,...	2019-05-22 00:39:20	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text is a formal academic paper discussing spreading speeds and traveling wave solutions in cooperative integral-differential systems. The language used is technical and does n...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Mathematical Biology, specifically Cooperative Integral-Differential Systems ## Rationale The text appears to be a research paper in the field of mathematical biolog...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting or answer verification steps. It appears to be a research article discussing spreading speeds and traveli...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a mathematical research paper discussing spreading speeds and traveling wave solutions in cooperative integral-differenti...	no	<count>0</count>.	The provided text is a formal academic paper discussing spreading speeds and traveling wave solutions in cooperative integral-differential systems. The language used is technical and does not contain any instances of backtracking behavior, such as phrases like "Let me try again" or "We need to try a different approach....	no	<count>0</count>	The provided text appears to be a mathematical research paper discussing spreading speeds and traveling wave solutions in cooperative integral-differential systems. The authors present theoretical results, provide examples, and reference other research in the field. However, there is no evidence of backward-chaining be...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a research paper discussing spreading speeds and traveling wave solutions in cooperative integral-differen...	no	yes	math	Mathematical Biology, specifically Cooperative Integral-Differential Systems	The text appears to be a research paper in the field of mathematical biology, focusing on cooperative integral-differential systems. It discusses the concept of spreading speeds and traveling wave solutions in such systems, and presents theoretical results and examples to illustrate these concepts. The text does not ex...	What are the main findings regarding spreading speeds and traveling wave solutions in cooperative integral-differential systems?	<think>I need to focus on the key points about spreading speeds and traveling wave solutions in cooperative integral-differential systems. The text mentions that the system can have multiple spreading speeds, and under certain conditions, all spreading speeds are the same and equal to the spreading speed of the lineari...
http://serverfault.com/questions/21/what-prevents-you-from-upgrading-to-newer-operating-system-versions/32	# What prevents you from upgrading to newer operating system versions? [closed] What's the top the reason you're unable - or unwilling - to upgrade to the latest available operating system verions? - ## locked by IainOct 21 '12 at 16:35 This question exists because it has historical significance, but it is not cons...	2015-01-27 14:59:33	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? no ## Text domain (broad) computer science ## Text domain (specific) Operating System Administration and Maintenance ## Rationale The text discusses the reasons why individuals or organizations might be unable or unwilling...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning ...	no	<count>0</count>.	The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears to be a collection of responses to a question about what prevents people from upgrading to newer operating system versions, with e...	no	<count>0</count>	The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning backward to find the steps needed to achieve it. In the given text, users are discussing reasons for not upgrading to newer operating system versions, sharing their pe...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a collection of responses to a question about what prevents people from upgrading to newer operating syste...	yes	no	computer science	Operating System Administration and Maintenance	The text discusses the reasons why individuals or organizations might be unable or unwilling to upgrade to newer operating system versions. The problems mentioned include compatibility issues, downtime, loss of productivity, cost, and the potential for introducing new bugs or instability. The text does not provide a so...	What prevents you from upgrading to newer operating system versions?	<think>I think the main reasons people avoid upgrading to newer operating system versions are related to stability, compatibility, and the time and effort required to upgrade. For instance, if the current system is working well, there's a reluctance to risk breaking something that works. Also, the cost of upgrading, th...
https://hail.is/docs/0.2/vds/hail.vds.combiner.VariantDatasetCombiner.html	# VariantDatasetCombiner¶ class hail.vds.combiner.VariantDatasetCombiner[source] A restartable and failure-tolerant method for combining one or more GVCFs and Variant Datasets. Examples A Variant Dataset comprises one or more sequences. A new Variant Dataset is constructed from GVCF files and/or extant Variant Data...	2022-12-07 19:35:08	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The provided text does not exhibit any backtracking behavior. It is a documentation of a class `VariantDatasetCombiner` in Hail, a software for analyzing genomic data, and its methods and pa...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Genomics and Bioinformatics, specifically Variant Dataset Combination ## Rationale The text describes a tool, VariantDatasetCombiner, which is used to combine one...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the model breaks down the problem into smaller, intermediate goals. The text appears to be a docume...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a documentation of a Python class `VariantDatasetCombiner` used for combining GVCFs and Variant Datasets. The text descri...	no	<count>0</count>	The provided text does not exhibit any backtracking behavior. It is a documentation of a class `VariantDatasetCombiner` in Hail, a software for analyzing genomic data, and its methods and parameters. The text provides examples of how to use the class and explains its functionality, but it does not contain any instances...	no	<count>0</count>	The provided text appears to be a documentation of a Python class `VariantDatasetCombiner` used for combining GVCFs and Variant Datasets. The text describes the class's methods, parameters, and attributes, but it does not exhibit backward-chaining behavior. Backward chaining typically involves working backwards from a ...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a documentation of a class and its methods, with examples of how to use the class, but it does not include...	no	yes	science	Genomics and Bioinformatics, specifically Variant Dataset Combination	The text describes a tool, VariantDatasetCombiner, which is used to combine one or more GVCFs and Variant Datasets in a restartable and failure-tolerant manner. The text provides examples of how to use the tool, its parameters, and attributes, indicating that it is a solution to a problem in the field of genomics and b...	What are the default partition sizes for exomes and genomes in basepairs?	<think>I need to find the default partition sizes for exomes and genomes. I see that there are attributes called `default_exome_interval_size` and `default_genome_interval_size`. I'll check their values to get the answer.</think> <answer>The default partition size for exomes is 60,000,000 basepairs, and for genomes, it...
https://www.yaclass.in/p/science-cbse/class-10/acids-bases-and-salts-draft-10222/re-709522f1-babf-46c9-8cb7-0014e850ac07	### Theory: The reaction of metal oxide: Metal oxide is a compound that contains metal chemically combined with oxygen. These compounds are basic in nature. Therefore, when a metal oxide reacts with an acid, it forms a salt with water. This reaction is known as a neutralisation reaction. Let us now see the reaction o...	2021-09-17 00:06:17	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of the reactions of metal oxide and non-metallic oxide, without abandoni...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) science ## Text domain (specific) Chemistry, Acid-Base Reactions ## Rationale The text describes the reaction of metal oxides and non-metal oxides with acids and bases, explaining the nature of the...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calcula...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals for the purpose of answer verification....	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. It presents a straightforward explanation of the reactions of metal oxides and non-metallic oxides ...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of the reactions of metal oxide and non-metallic oxide, without abandoning any thoughts or reverting to a previous approach. The text follows a logical sequence, starting with the introduction of metal o...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. It presents a straightforward explanation of the reactions of metal oxides and non-metallic oxides with acids and bases, respectively. The writer starts by introducing the concept of metal oxides and their basic nature, followed by an experiment to demonstrate their...	no	<count>0</count>.	The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text presents chemical reactions, observations, and conclusions based on those observations, but it does not include any self-checking...	no	no	science	Chemistry, Acid-Base Reactions	The text describes the reaction of metal oxides and non-metal oxides with acids and bases, explaining the nature of these compounds and the products formed in these reactions. It provides examples and chemical equations to illustrate the concepts, but does not pose a specific problem to be solved or present a solution ...		<think>我首先需要回顾金属氧化物和非金属氧化物的基本性质。金属氧化物是碱性的，当它们与酸反应时，会形成盐和水，这是一个中和反应。例如，铜氧化物与盐酸反应会形成氯化铜和水。另一方面，非金属氧化物是酸性的，它们主要与碱反应，同样形成盐和水。例如，二氧化碳与氢氧化钙反应会形成碳酸钙和水。我需要确保我理解了这些反应的本质，以及它们如何分别与酸和碱反应。</think> <answer>金属氧化物是碱性的，当它们与酸反应时，会形成盐和水，这是一个中和反应。例如，铜氧化物与盐酸反应会形成氯化铜和水。非金属氧化物是酸性的，它们主要与碱反应，同样形成盐和水。例如，二氧化碳与氢氧化钙反应会形成碳酸钙和水。</answer>
https://www.semanticscholar.org/paper/Classification-Under-Misspecification%3A-Halfspaces%2C-Chen-Koehler/33ab044ebf630a5951b741f1016a8815b519ecf6	• Corpus ID: 219531142 # Classification Under Misspecification: Halfspaces, Generalized Linear Models, and Connections to Evolvability @article{Chen2020ClassificationUM, title={Classification Under Misspecification: Halfspaces, Generalized Linear Models, and Connections to Evolvability}, author={Sitan Chen and Freder...	2023-02-05 20:52:21	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a collection of abstracts and references from various academic papers in the field of computer science, specif...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) Computer Science, Mathematics ## Text domain (specific) Machine Learning, Statistical Query Learning, Classification Under Misspecification ## Rationale The text discusses various problems relate...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a collection of abstracts and summaries from various research papers in the field of computer science, specifically focus...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a collection of abstracts and references from various academic papers in the field of computer science, specifically focusing on classification under misspecification, halfspaces, and statistical query learning. The text presents a series of...	no	<count>0</count>	The provided text appears to be a collection of abstracts and summaries from various research papers in the field of computer science, specifically focusing on machine learning and classification under misspecification. Upon examining the text, there is no clear evidence of backward-chaining behavior, where the writer ...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a collection of abstracts and summaries of research papers in the field of computer science, specifically ...	yes	yes	Computer Science, Mathematics	Machine Learning, Statistical Query Learning, Classification Under Misspecification	The text discusses various problems related to classification under misspecification, such as learning halfspaces under Massart noise, and presents several solutions, including polynomial-time algorithms and lower bounds on the complexity of Statistical Query (SQ) algorithms. The text also references various research p...
https://www.wyzant.com/resources/answers/199153/if_the_simple_interest_rate_on_6600_invested_for_5_years_was_1650_find_the_interest_rate	Gabrielle M. # If the simple interest rate on $6600 invested for 5 years was$1650, find the interest rate. I need this as soon as possible for a maths take home task due tomorrow. Answered replied within next half hour would be appreciated! By: Tutor New to Wyzant Mathematics - Algebra a Specialty / F.I.T. Grad - ...	2021-12-05 19:27:59	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The provided text does not contain any instances of backtracking behavior. The text appears to be a request for help with a math problem, followed by a response from a tutor and some promoti...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? no ## Text domain (broad) math ## Text domain (specific) Algebra, Interest Rate Calculation ## Rationale The text contains a specific math problem about calculating the interest rate given the principal amount, time period...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any verification steps. It appears to be a request for help with a math problem, along with a response template and advertising for tutoring ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting or steps to break down the problem into smaller, intermediate goals. It appears to be a request for help ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text does not exhibit backward-chaining behavior. It appears to be a request for help with a math problem, where the goal is to find the int...	no	<count>0</count>	The provided text does not contain any instances of backtracking behavior. The text appears to be a request for help with a math problem, followed by a response from a tutor and some promotional information. There is no evidence of the writer abandoning a thought or trying a different approach, so no backtracking is ob...	no	<count>0</count>	The provided text does not exhibit backward-chaining behavior. It appears to be a request for help with a math problem, where the goal is to find the interest rate given the principal amount, time, and simple interest. The text does not demonstrate working backward from the goal to achieve it, but rather presents the p...	no	<count>0</count>.	The provided text does not contain any verification steps. It appears to be a request for help with a math problem, along with a response template and advertising for tutoring services. There is no evidence of the writer checking their own work or comparing results to known values.	yes	no	math	Algebra, Interest Rate Calculation	The text contains a specific math problem about calculating the interest rate given the principal amount, time period, and simple interest earned. The problem is clearly stated, and the user is seeking help to solve it, indicating that a solution is being sought but not provided in the given text. The context and langu...
https://studydaddy.com/question/steve-and-abby-purchased-a-set-of-vases-to-place	QUESTION # Steve and Abby purchased a set of vases to place Steve and Abby purchased a set of vases to place on a 12-foot long mantel above their fireplace. They want to place one vase 1/4 of the distance from one end of the mantel and the other vase 3/4 of the distance from the same end. How many feet from the end o...	2018-03-23 22:44:17	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not contain any instances of backtracking behavior. The text appears to be a problem statement for a math problem, followed by some unrelated text that seems to be a ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? no ## Text domain (broad) math ## Text domain (specific) Measurement and Distance Calculation ## Rationale The text describes a scenario where two vases need to be placed on a mantel at specific fractions of the distance f...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing the result to a known value or checking the result ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting or steps to break down the problem into smaller, intermediate goals. It appears to be a problem statement...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward chaining behavior. It appears to be a math problem where the goal is to find the distance from the end of the mantel w...	no	<count>0</count>.	The provided text does not contain any instances of backtracking behavior. The text appears to be a problem statement for a math problem, followed by some unrelated text that seems to be a prompt for purchasing answers from tutors. There is no evidence of the writer attempting a solution, realizing it won't work, and t...	no	<count>0</count>	The text does not exhibit backward chaining behavior. It appears to be a math problem where the goal is to find the distance from the end of the mantel where each vase should be placed. The problem is presented in a straightforward manner, with the given information and the question being asked directly. There is no ev...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing the result to a known value or checking the result of a calculation. The text appears to be a problem statement for a math problem, and there is no solution or calculation provided to verify.	yes	no	math	Measurement and Distance Calculation	The text describes a scenario where two vases need to be placed on a mantel at specific fractions of the distance from one end, and asks for the distance from the end of the mantel where each vase should be placed. This indicates a mathematical problem related to measurement and distance calculation. The text does not ...	How many feet from the end of the mantel should each vase be placed?	<think>I need to calculate the positions of the vases based on the fractions given. For the first vase, I should calculate 1/4 of the 12-foot mantel. For the second vase, I need to calculate 3/4 of the 12-foot mantel. I'll do the math for each one. First, 1/4 of 12 is 3 feet. Then, 3/4 of 12 is 9 feet. I think I have t...
http://en.wikipedia.org/wiki/Edward_Kasner	# Edward Kasner Edward Kasner Born April 2, 1878 New York City Died January 7, 1955 (aged 76) New York City Nationality American Fields Mathematics Institutions Columbia University Alma mater Columbia University (M.A., Ph.D.) David Hilbert Doctoral students John De Cicco Rufus Isaacs Joseph Ritt Jesse Douglas Known fo...	2013-12-10 08:08:27	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 1, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The text provided is a biographical article about Edward Kasner, an American mathematician, and does not contain any instances of backtracking behavior. The writer presents a linear narrativ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) math ## Text domain (specific) Biography of Mathematicians, Number Theory ## Rationale The text is a biographical description of Edward Kasner, an American mathematician, and his contributions to t...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calcula...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text is a biographical article about Edward Kasner, an American mathematician, and does not contain any explicit subgoal setting or problem-solving steps. T...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text is a biographical description of Edward Kasner's life and achievements, and it does not exhibit any backward-chaining behavior. Backward chainin...	no	<count>0</count>	The text provided is a biographical article about Edward Kasner, an American mathematician, and does not contain any instances of backtracking behavior. The writer presents a linear narrative, providing information about Kasner's life, work, and contributions to mathematics, without abandoning any thoughts or approache...	no	<count>0</count>	The text is a biographical description of Edward Kasner's life and achievements, and it does not exhibit any backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning backward to find the necessary steps to achieve it. In this text, the author is simply presen...	no	<count>0</count>.	The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text primarily provides biographical information about Edward Kasner and explains the origin of the terms "googol" and "googolplex", b...	no	no	math	Biography of Mathematicians, Number Theory	The text is a biographical description of Edward Kasner, an American mathematician, and his contributions to the field of mathematics, including the introduction of the terms "googol" and "googolplex". There is no specific problem or solution presented in the text, but rather a narrative about Kasner's life, work, and ...	Who introduced the term "googol" and how was it created?	<think>I see that Edward Kasner introduced the term "googol" and it was created during a walk with his nephews. I need to find out which nephew suggested the name. It's important to mention that Kasner was trying to engage children's interest in very large numbers. I should also include the context of the term's creati...
http://coktelitas.com/ilyzjh0s/connotative-meaning-of-snake-06e433	Cancel anytime. Greg ran 12 miles a day on 18 different days last month. d The snake we discovered hiding in the woodshed … What might be the connotation for the word snake… Snake, as a Spirit, Totem, and Power Animal, can help! The connotative definition of snake An amphibian. Connotations of the word, however, might ...	2022-08-14 18:30:41	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? No ## Number of backtrack steps <count>0</count>. ## Rationale The text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears to be a ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) english ## Text domain (specific) Linguistics, Semantics ## Rationale The text discusses the concept of denotation and connotation in language, specifically in relation to the word "snake". It expl...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The text does not contain any verification steps. It provides information about the denotative and connotative meanings of the word "snake" and discusses the importance of cons...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a collection of ...	## Step 1: Understand the concept of backward-chaining behavior Backward-chaining behavior refers to the process of starting with a goal and working backward to achieve it, rather than starting from the beginning and moving forward. ## Step 2: Analyze the provided text for backward-chaining behavior The text provided ...	No	<count>0</count>.	The text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears to be a collection of definitions, explanations, and examples related to the concept of connotation and denotation, particularly in the con...	null	null	null	no	<count>0</count>.	The text does not contain any verification steps. It provides information about the denotative and connotative meanings of the word "snake" and discusses the importance of considering both types of meaning when choosing words to use in language. However, it does not include any instances where the writer explicitly che...	no	no	english	Linguistics, Semantics	The text discusses the concept of denotation and connotation in language, specifically in relation to the word "snake". It explains that denotation refers to the literal meaning of a word, while connotation refers to the emotions, ideas, or associations that a word invokes. The text provides examples of how the word "s...	What is the denotative meaning of the word snake?	<think>I think I should look for the literal, unambiguous meaning of the word snake. The text mentions that the denotative definition of the word snake is "a scaly, limbless, elongated, sometimes venomous reptile." I should verify this by checking if there are any contradictions in the text. I don't see any contradicti...
http://kldns.net/confidence-interval/standard-error-of-mean-and-confidence-interval.html	## (Solved) Standard Error Of Mean And Confidence Interval Tutorial Home > Confidence Interval > Standard Error Of Mean And Confidence Interval # Standard Error Of Mean And Confidence Interval ## Contents Assume that the weights of 10-year-old children are normally distributed with a mean of 90 and a standard devia...	2018-02-22 20:42:20	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Statistics, specifically Confidence Intervals and Standard Error of the Mean ## Rationale The text discusses statistical concepts such as standard error of the me...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a tutor...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. It appears to be a tutorial or educational article about standard error of the mean and confidence ...	no	<count>0</count>.	The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears to be a tutorial on standard error of mean and confidence intervals, and it presents a straightforward explanation of the concepts...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. It appears to be a tutorial or educational article about standard error of the mean and confidence intervals, and it presents information in a straightforward and linear manner, without starting from a goal and working backward. The text provides definitions, explan...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be an educational or informative article about standard error of the mean and confidence intervals, providing...	no	yes	science	Statistics, specifically Confidence Intervals and Standard Error of the Mean	The text discusses statistical concepts such as standard error of the mean, confidence intervals, and the t-distribution, providing formulas and examples to illustrate these concepts. It does not pose a specific problem to be solved, but rather provides a tutorial or explanatory text on the topic. The text includes mat...	How do you compute a confidence interval for the mean when the standard deviation (σ) has to be estimated?	<think>I think I should start by understanding that when the standard deviation (σ) is unknown, we use the sample standard deviation (s) as an estimate. I need to remember that the sample standard deviation is calculated from the sample data and it's used to estimate the population standard deviation. I should also rec...
https://lu.seas.harvard.edu/publications/year/2016	# Publications by Year: 2016 2016 C. Wang and Y. M. Lu, “Online Learning for Sparse PCA in High Dimensions: Exact Dynamics and Phase Transitions,” in IEEE Information Theory Workshop (ITW), 2016.Abstract We study the dynamics of an online algorithm for learning a sparse leading eigenvector from samples generated from...	2020-11-28 02:04:59	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text appears to be a list of academic publications from the year 2016, with brief summaries of each paper. There is no evidence of backtracking behavior, where the writer reali...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Signal Processing and Computer Science ## Rationale The text appears to be a list of academic publications from the year 2016, with a focus on signal processing, ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a list of academic publications from the year 2016, along with their abstracts. While the abstracts describe various research studies and their ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a list of academic publications from the year 2016, along with their abstracts. There is no evidence of explicit subgoal setting, where t...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a list of academic publications from the year 2016, along with their abstracts. Upon reviewing the text, there is no evid...	no	<count>0</count>.	The provided text appears to be a list of academic publications from the year 2016, with brief summaries of each paper. There is no evidence of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text is written in a formal and structured style, w...	no	<count>0</count>	The provided text appears to be a list of academic publications from the year 2016, along with their abstracts. Upon reviewing the text, there is no evidence of backward-chaining behavior, where the writer starts from a goal and works backward to achieve it. The text is primarily descriptive, presenting research findin...	no	<count>0</count>.	The provided text appears to be a list of academic publications from the year 2016, along with their abstracts. While the abstracts describe various research studies and their methodologies, they do not contain explicit verification steps where the authors check their own work by comparing results to known values or ve...	no	yes	science	Signal Processing and Computer Science	The text appears to be a list of academic publications from the year 2016, with a focus on signal processing, computer science, and related fields. Each publication presents a solution to a specific problem or contributes to the development of new methods and algorithms in these fields. While the text does not explicit...
https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=151&t=29628&p=92643	## Question 15.63 Arrhenius Equation: $\ln k = - \frac{E_{a}}{RT} + \ln A$ Gavin Kellerman 1D Posts: 17 Joined: Sat Jul 09, 2016 3:00 am ### Question 15.63 For questions like this one where you're given one rate constant at one temperature and asked to find the rate constant at another, does it matter whether we so...	2020-11-26 19:35:25	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The text provided does not exhibit any backtracking behavior. The conversation flows linearly, with each respondent addressing the question directly without abandoning their thought or appr...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Chemical Kinetics, specifically the application of the Arrhenius Equation ## Rationale The text discusses a specific problem related to the Arrhenius Equation, w...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The conversation revolves around a dis...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided does not exhibit backward-chaining behavior. The conversation revolves around a question regarding the application of the Arrhenius equ...	no	<count>0</count>.	The text provided does not exhibit any backtracking behavior. The conversation flows linearly, with each respondent addressing the question directly without abandoning their thought or approach. There are no phrases or sentences that indicate a re-evaluation or change in direction, such as "Let me try again" or "We nee...	no	<count>0</count>	The text provided does not exhibit backward-chaining behavior. The conversation revolves around a question regarding the application of the Arrhenius equation to find a rate constant at a different temperature, given one rate constant and temperature. The responses aim to clarify the proper use of the equation and the ...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The discussion revolves around the application and understanding of the Arrhenius equation in solving problems involving rate con...	yes	yes	science	Chemical Kinetics, specifically the application of the Arrhenius Equation	The text discusses a specific problem related to the Arrhenius Equation, which is a concept in chemical kinetics. The problem is about finding a rate constant at a different temperature, and the solution involves using the Arrhenius Equation. The discussion among users indicates that there is a problem being addressed,...
https://www.projecteuclid.org/euclid.nmj/1118799490	## Nagoya Mathematical Journal ### On absolutely segretated algebras and relative $3$-cohomology groups of an algebra #### Article information Source Nagoya Math. J., Volume 6 (1953), 177-185. Dates First available in Project Euclid: 14 June 2005 https://projecteuclid.org/euclid.nmj/1118799490 Mathematical Review...	2020-02-24 04:01:52	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text appears to be a mathematical article with references and citations. There is no evidence of the writer abandoning a thought or backtracking to a previous computation. The ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) math ## Text domain (specific) Abstract Algebra, specifically cohomology groups and associative algebras ## Rationale The text appears to be a mathematical article abstract, providing information a...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a mathematical journal article citation and reference list. There are no explicit verification steps, such as comparing results to known values ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a mathematical article with references and citations. There is no evidence of explicit subgoal setting, where the problem is broken down ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a mathematical article with references and citations. It does not exhibit any backward-chaining behavior, as it is primar...	no	<count>0</count>.	The provided text appears to be a mathematical article with references and citations. There is no evidence of the writer abandoning a thought or backtracking to a previous computation. The text is formal and structured, presenting information in a logical and sequential manner without any indication of revising or reap...	no	<count>0</count>	The provided text appears to be a mathematical article with references and citations. It does not exhibit any backward-chaining behavior, as it is primarily a presentation of information and does not involve working towards a goal or problem-solving. The text is structured in a straightforward manner, providing article...	no	<count>0</count>.	The provided text appears to be a mathematical journal article citation and reference list. There are no explicit verification steps, such as comparing results to known values or checking calculations, present in the text. The text is primarily composed of bibliographic information, citations, and references, without a...	no	no	math	Abstract Algebra, specifically cohomology groups and associative algebras	The text appears to be a mathematical article abstract, providing information about a published paper, including its title, author, publication details, and references. There is no explicit problem statement or solution presented in the text. The language and terminology used are technical and specific to the field of ...
https://www.techwhiff.com/issue/the-declaration-of-independence-consists-of-o-a-of--76470	# The Declaration of Independence consists of O a of list examples of how the king is unfairly using his power against the colonies O a list of reasons as to why the colonies cannot govern themselves O an argument for why the king should have more control over the colonies O an explanation as to why Great Britain will ...	2023-03-31 07:01:14	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? no ## Text domain (broad) math/science/english/history/... (multiple domains are present, but the majority of the text is related to) math ## Text domain (specific) Algebra, Physics, American History, Biology, etc. (multipl...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and then figur...	no	<count>0</count>.	The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears to be a collection of unrelated questions and prompts, with no narrative or problem-solving sequence that would require backtracki...	no	<count>0</count>	The provided text does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and then figuring out the steps needed to achieve it. The text appears to be a collection of unrelated questions and prompts from various subjects, including mathematics, science, h...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a collection of unrelated questions and prompts from various subjects, including mathematics, history, and...	yes	no	math/science/english/history/... (multiple domains are present, but the majority of the text is related to) math	Algebra, Physics, American History, Biology, etc. (multiple specific domains are present)	The provided text consists of multiple short snippets from different subjects, including math (e.g., quadratic formula, series of consecutive odd integers), physics (e.g., normal force acting on a sled), history (e.g., Declaration of Independence), and biology (e.g., carbohydrates function in the diet). Each snippet pr...	Help please!! A series of 384 consecutive odd integers has a sum that is the perfect fourth power of a positive integer. Find the smallest possible sum for this series.	<think>I need to find the sum of 384 consecutive odd integers that is a perfect fourth power. First, I should recall that the sum of an arithmetic series can be found using the formula S = n/2 * (first term + last term), where n is the number of terms. Since the integers are consecutive odd numbers, the difference betw...
http://gmatclub.com/forum/stanford-gsb-calling-all-applicants-for-class-of-151291-360.html	Stanford GSB Calling all applicants for Class of 2016! : Stanford GSB - Page 19 Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack It is currently 20 Jan 2017, 08:08 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your ...	2017-01-20 16:08:23	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? No ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The conversation...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? no ## Text domain (broad) Business ## Text domain (specific) MBA Admissions, specifically Stanford GSB ## Rationale The text appears to be a forum discussion among applicants to the Stanford Graduate School of Business (GS...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? No ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any instances of the writer explicitly checking their own work, such as comparing the result to a known value or checking the result of a cal...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a forum...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? No ## Number of backward chaining instances <count>0</count> ## Rationale The text provided is a forum discussion among applicants to Stanford GSB's Class of 2016. The conversation revolves around interview invitations, applica...	No	<count>0</count>.	The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The conversation appears to be a discussion among applicants to Stanford GSB, sharing their experiences and speculating about the admission process...	No	<count>0</count>	The text provided is a forum discussion among applicants to Stanford GSB's Class of 2016. The conversation revolves around interview invitations, application status, and speculation about the admission process, particularly for African applicants. There is no evidence of backward-chaining behavior, where the writer sta...	No	<count>0</count>.	The provided text does not contain any instances of the writer explicitly checking their own work, such as comparing the result to a known value or checking the result of a calculation. The text appears to be a discussion forum for applicants to Stanford GSB, where individuals are sharing their experiences and asking q...	yes	no	Business	MBA Admissions, specifically Stanford GSB	The text appears to be a forum discussion among applicants to the Stanford Graduate School of Business (GSB) Class of 2016. The problem is that some applicants, particularly those from Africa, have not received interview invitations yet and are seeking information and reassurance from others in similar situations. Ther...
https://www.jobilize.com/online/course/5-8-one-one-and-many-one-functions-exercise-by-openstax?qcr=www.quizover.com	5.8 One-one and many-one functions (exercise) Page 1 / 1 A function is one – one function, if every pre-image(x) in domain is related to a distinct image (y) in the co-domain. Otherwise, function is many-one function. Note : This module did not follow the treatment on the subject as we needed to know different type...	2020-09-23 06:02:30	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 39, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a collection of notes, problems, and discussions related to mathematics, nanotechnology, and chemistry, but th...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) math/science ## Text domain (specific) Mathematics, specifically functions and nanotechnology ## Rationale The text contains multiple problems related to functions, such as determining whether a ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning ...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a collection of notes, problems, and discussions related to mathematics, nanotechnology, and chemistry, but there is no instance where the writer explicitly abandons a thought and goes back to try a different approach. The text is mostly com...	no	<count>0</count>	The provided text does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning backward to find the necessary steps to achieve it. The text appears to be a collection of notes, problems, and discussions related to mathematics, nanotechnology, and...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a collection of notes, problems, and discussions related to mathematics, nanotechnology, and chemistry, bu...	yes	yes	math/science	Mathematics, specifically functions and nanotechnology	The text contains multiple problems related to functions, such as determining whether a given function is one-one or many-one, and solutions to these problems. Additionally, there are conversations and questions about nanotechnology, its applications, and related topics, indicating that the text domain is mathematics a...	Is the function $f(x) = x^2$ one-one?	<think>I need to determine if the function $f(x) = x^2$ is one-one. To do this, I can use the method of setting $f(x_1) = f(x_2)$ and solving for $x_1$ and $x_2$. If $x_1$ is not exclusively equal to $x_2$, then the function is not one-one. I will solve $x_1^2 = x_2^2$ to see if $x_1$ equals $x_2$ or not. After solving...
https://homework.cpm.org/category/MN/textbook/cc2mn/chapter/7/lesson/7.1.3/problem/7-29	### Home > CC2MN > Chapter 7 > Lesson 7.1.3 > Problem7-29 7-29. Graph each of the following inequalities on a number line. When graphing an inequality on a number line, you should highlight all values that make the inequality true. 1. $x>3$ What values make the inequality $x>3$ true? Possible values: $3.0000001$,...	2021-09-20 01:49:47	{"extraction_info": {"found_math": true, "script_math_tex": 14, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. The writer presents a clear and straightforward approach to graphing inequalities on a number line, providing examples and expl...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Graphing Inequalities on a Number Line ## Rationale The text contains a clear problem statement, which is to graph inequalities on a number line, and provides examp...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calcula...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text presents a series of tasks re...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. It appears to be a straightforward instructional guide on graphing inequalities on a number line, p...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. The writer presents a clear and straightforward approach to graphing inequalities on a number line, providing examples and explanations without abandoning any thoughts or trying alternative approaches. The text proceeds in a linear and logical manner, withou...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. It appears to be a straightforward instructional guide on graphing inequalities on a number line, providing examples and explanations. The writer starts by introducing the concept and then provides step-by-step instructions, working forward to illustrate the process...	no	<count>0</count>.	The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text provides instructions and examples for graphing inequalities on a number line, but it does not demonstrate any self-checking or v...	yes	yes	math	Graphing Inequalities on a Number Line	The text contains a clear problem statement, which is to graph inequalities on a number line, and provides examples of inequalities to be graphed, such as $x>3$, $x\le5$, and $x\ge-4$. The text also provides guidance on how to determine the values that make the inequality true and how to represent them on a number line...	What values make the inequality $x>3$ true?	<think>I need to identify the values that are greater than 3. I start by considering numbers just above 3, like $3.0000001$, $3.1$, and $3.35$. I realize that any number larger than 3, such as $4$, $5$, $6$, and $7$, also satisfies the inequality. I notice that $3$ itself does not satisfy the inequality because $3>3$ i...
https://doc.xuwenliang.com/docs/go/3265	# String formatting in Go https://medium.com/rungo/string-formatting-in-go-dd752ff7f60 Uday HiwaraleMay 24 # String formatting in Go ## String formatting or String interpolation is an important concept in any language. Printf would probably be the general implementation of how a variable of any type is formatted in ...	2021-10-22 18:33:50	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. The author presents a clear and structured explanation of string formatting in Go, without abandoning any thoughts or approache...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) computer science ## Text domain (specific) Programming in Go, String Formatting ## Rationale The text provides a detailed explanation of string formatting in Go, including various formatting verbs...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a tutor...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided is a tutorial on string formatting in Go, and it does not exhibit backward-chaining behavior. The author presents the concepts in a log...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. The author presents a clear and structured explanation of string formatting in Go, without abandoning any thoughts or approaches and trying alternative ones. The text is a straightforward tutorial, and the author does not express any uncertainty or reevaluat...	no	<count>0</count>	The text provided is a tutorial on string formatting in Go, and it does not exhibit backward-chaining behavior. The author presents the concepts in a logical and sequential manner, starting with the basics of printing to the standard output and then moving on to more advanced topics such as string interpolation and for...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text is primarily informative, explaining string formatting in Go, and provides examples and explanations of different format...	no	yes	computer science	Programming in Go, String Formatting	The text provides a detailed explanation of string formatting in Go, including various formatting verbs, flags, and functions. It does not present a specific problem to be solved, but rather serves as a tutorial or guide on how to use string formatting in Go. The text includes examples, code snippets, and explanations ...
http://pub.acta.hu/acta/showCustomerArticle.action?id=20233&dataObjectType=article&returnAction=showCustomerVolume&sessionDataSetId=2931aa5751e23f45&style=	ACTA issues ## On the algorithmic construction of the 1960 sectional complement G. Grätzer, G. Klus, A. Nguyen Acta Sci. Math. (Szeged) 77:1-2(2011), 35-45 318/2009 Abstract. In 1960, G. Grätzer and E. T. Schmidt proved that every finite distributive lattice can be represented as the congruence lattice of a sectio...	2022-12-09 09:13:13	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal academic abstract that presents a problem, describes the history of the problem, and states the solution achieve...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Lattice Theory, specifically Sectionally Complemented Lattices ## Rationale The text mentions specific mathematical problems (Problems 2 and 3 of the Grätzer--Roddy...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be an abstract of a mathematical research paper. It discusses the history and development of a mathematical concept, the 1960 sectional complement,...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a mathematical ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. It appears to be a formal academic paper that presents a problem, discusses previous work, and then...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal academic abstract that presents a problem, describes the history of the problem, and states the solution achieved by the authors. The text follows a linear and logical structure without any indication of the writer abandoning a thought or appr...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. It appears to be a formal academic paper that presents a problem, discusses previous work, and then presents a solution to the problem. The authors start by introducing the concept of the 1960 sectional complement and then discuss how it has been studied and general...	no	<count>0</count>.	The provided text appears to be an abstract of a mathematical research paper. It discusses the history and development of a mathematical concept, the 1960 sectional complement, and mentions various proofs and discoveries related to it. However, there are no explicit verification steps mentioned in the text, such as com...	yes	yes	math	Lattice Theory, specifically Sectionally Complemented Lattices	The text mentions specific mathematical problems (Problems 2 and 3 of the Grätzer--Roddy paper, and Problem 1) and states that they are solved in the paper, indicating the presence of a problem and its solution. The domain is clearly mathematics, and more specifically, lattice theory, as evidenced by the technical term...
https://www.physicsforums.com/threads/mass-distribution-of-a-semi-infinite-stick.817981/	# Mass distribution of a semi-infinite stick 1. Jun 7, 2015 ### Jzhang27143 1. The problem statement, all variables and given/known data Given a semi-infinite stick (that is, one that goes off to infinity in one direction), determine how its density should depend on position so that it has the following property: If...	2017-11-23 08:41:55	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. The writer presents a problem, provides relevant equations, and attempts a solution, but does not abandon a thought or try a di...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? partial ## Text domain (broad) science ## Text domain (specific) Physics, specifically Statics and Calculus ## Rationale The text discusses a semi-infinite stick and its mass distribution, which is a physics problem. The p...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a discussion about ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning ...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. The writer presents a problem, provides relevant equations, and attempts a solution, but does not abandon a thought or try a different approach. The writer does ask for clarification on a specific step, but this is a request for help rather than an instance ...	no	<count>0</count>	The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning backward to find the necessary steps or conditions to achieve it. In the given text, the problem is presented, and the writer is seeking clarification on a specific st...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a discussion about a problem and a request for clarification on a specific step in the solution, but it do...	yes	partial	science	Physics, specifically Statics and Calculus	The text discusses a semi-infinite stick and its mass distribution, which is a physics problem. The problem statement is clearly defined, and the user is seeking help with a specific step in the solution, indicating that a problem exists. A partial solution is provided in the form of a linked solution, but the user is ...	How do I find the derivative of the integral with respect to $x_0$ in the given problem?	<think>I understand the setup of the problem, but I'm stuck on finding the derivative of the integral with respect to $x_0$. I need to figure out how to apply the fundamental theorem of calculus here. I think I should first identify the integral in question and then apply the theorem to find the derivative. I need to...
https://codegolf.stackexchange.com/questions/65519/well-thats-odd-no-wait-thats-even/65668	# Preamble Integers are always either even or odd. Even integers are divisible by two, odd integers are not. When you add two integers you can infer whether the result will be even or odd based on whether the summands were even or odd: • Even + Even = Even • Even + Odd = Odd • Odd + Even = Odd • Odd + Odd = Even Li...	2020-12-01 09:37:19	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Number Theory, Prefix Notation, and Programming ## Rationale The text discusses the properties of even and odd integers, specifically how their parity (evenness or ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a progr...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and working backward. I...	no	<count>0</count>.	The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears to be a mathematical explanation and a programming challenge, with no evidence of the writer abandoning a thought or trying a diff...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and working backward. In this text, the writer presents a problem and then provides a solution, but does not start from the goal and work backward. The text is primarily focused on explainin...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a problem statement and solutions in various programming languages, but it does not include any self-verif...	yes	yes	math	Number Theory, Prefix Notation, and Programming	The text discusses the properties of even and odd integers, specifically how their parity (evenness or oddness) behaves under addition and multiplication. It then presents a challenge to write a program that takes a string representing a mathematical expression in prefix notation, where 'e' represents an arbitrary even...	How can I simplify a mathematical expression in prefix notation that only involves addition and multiplication, where 'e' represents an even number and 'o' represents an odd number, to determine if the result is even or odd?	<think>I need to write a program that can take a string in prefix notation and simplify it to determine if the result is even or odd. I'll use a loop to repeatedly simplify the expression by replacing patterns that match the rules for even and odd numbers. I'll replace patterns like '+oe', '+eo', and '*oo' with 'o' sin...
https://www.car.chula.ac.th/display7.php?bib=b2096044	Home / Help Author Lieb, Ingo. author The Cauchy-Riemann Complex [electronic resource] : Integral Formulae and Neumann Problem / by Ingo Lieb, Joachim Michel Wiesbaden : Vieweg+Teubner Verlag, 2002 http://dx.doi.org/10.1007/978-3-322-91608-2 X, 362 p. online resource SUMMARY The method of integral representations is...	2021-04-23 06:09:24	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text appears to be a table of contents or a summary of a mathematical book, with various sections and subsections outlining different topics in complex analysis. There is no ev...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Complex Analysis, Partial Differential Equations ## Rationale The text appears to be a summary of a mathematics book focused on complex analysis and partial differen...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a table of contents and summary of a mathematics book, specifically focused on complex analysis and partial differential equations. There is no ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a table of contents and summary of a mathematics book, specifically focused on complex analysis and partial differential equations. There...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a table of contents and summary of a mathematics book, specifically focused on complex analysis and partial differential ...	no	<count>0</count>.	The provided text appears to be a table of contents or a summary of a mathematical book, with various sections and subsections outlining different topics in complex analysis. There is no evidence of the writer abandoning a thought or backtracking to try a different approach. The text is written in a formal and structur...	no	<count>0</count>	The provided text appears to be a table of contents and summary of a mathematics book, specifically focused on complex analysis and partial differential equations. The text is structured in a forward manner, presenting the topics and chapters in a logical order, without any apparent attempt to work backwards from a goa...	no	<count>0</count>.	The provided text appears to be a table of contents and summary of a mathematics book, specifically focused on complex analysis and partial differential equations. There is no explicit evidence of the author checking their own work or comparing results to known values, which would indicate verification steps. The text ...	no	yes	math	Complex Analysis, Partial Differential Equations	The text appears to be a summary of a mathematics book focused on complex analysis and partial differential equations, specifically the Cauchy-Riemann equations. It presents various formulas, theorems, and methods for solving problems in this domain, but does not explicitly state a problem to be solved. Instead, it pro...
https://codereview.stackexchange.com/questions/210602/php-flatfile-storage	# PHP flatfile storage So, I made a tiny (~2 KB, <100 lines) library for simple flat-file data storage. How it works is, you define a file to be used, and then you can add/read/modify/delete objects as "keys" to/from the file. All the code is on github, but I'll put it here too: varDx.php: <?php namespace varDX; ...	2019-02-17 19:18:43	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The provided text does not exhibit any backtracking behavior. The writer presents their code and explains how it works, then asks for feedback on how to improve it. The conversation that fol...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) computer science ## Text domain (specific) PHP programming, data storage solutions ## Rationale The text describes a PHP library for simple flat-file data storage, including its implementation an...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a discu...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and then figur...	no	<count>0</count>	The provided text does not exhibit any backtracking behavior. The writer presents their code and explains how it works, then asks for feedback on how to improve it. The conversation that follows is a discussion of the code's design and potential improvements, but at no point does the writer abandon a thought or approac...	no	<count>0</count>	The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and then figuring out the steps needed to achieve it. In this text, the author is presenting a PHP library for simple flat-file data storage and explaining how it works, along with ...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The code provided is a PHP library for simple flat-file data storage, and the text includes explanations and discussions about th...	yes	yes	computer science	PHP programming, data storage solutions	The text describes a PHP library for simple flat-file data storage, including its implementation and usage. The author is seeking feedback on how to improve the library's efficiency and correctness. The text contains a problem (the need for a more efficient data storage solution) and a solution (the provided PHP librar...	Can you explain the purpose of this storage library?	<think>I think I should try to explain the purpose of the storage library by looking at the code and the comments. The library seems to be a simple flat-file storage system where data is stored in a file with a specific format. I need to make sure I understand the format and the operations it supports, such as adding, ...
https://www.gradesaver.com/textbooks/math/algebra/algebra-and-trigonometry-10th-edition/chapter-8-8-2-law-of-cosines-8-2-exercises-page-575/61	## Algebra and Trigonometry 10th Edition s = $\frac{a + b + c}{2}$ where a, b, and c are side lengths. The above formula is not the average of the side lengths. False	2022-09-30 16:26:37	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It presents a formula for calculating 's' in terms of the side lengths a, b, and c, and then makes a statement about the formul...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) math ## Text domain (specific) Geometry, specifically the formula for the semi-perimeter of a triangle ## Rationale The text provides a formula for calculating the semi-perimeter of a triangle, whi...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text is a statement about a formula for calculating the semi-perimeter of a triangle and a claim that it is not the average of the side lengths, labeled as "False"...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text is a statement about a mathematical formula and its interpretation, but it does not contain any explicit subgoal setting or breakdown of a problem into...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a statement about a mathematical formula, specifically Heron's formula for calculating the semi-perimeter of a triangle. ...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It presents a formula for calculating 's' in terms of the side lengths a, b, and c, and then makes a statement about the formula not being the average of the side lengths. There is no indication of the writer abandoning a thought or trying a different approa...	no	<count>0</count>	The provided text appears to be a statement about a mathematical formula, specifically Heron's formula for calculating the semi-perimeter of a triangle. The text does not demonstrate any backward-chaining behavior, as it simply presents a formula and makes a statement about its meaning, without working towards a goal o...	no	<count>0</count>.	The provided text is a statement about a formula for calculating the semi-perimeter of a triangle and a claim that it is not the average of the side lengths, labeled as "False". There is no explicit verification step where the writer checks their work by comparing the result to a known value or checking the result of a...	no	no	math	Geometry, specifically the formula for the semi-perimeter of a triangle	The text provides a formula for calculating the semi-perimeter of a triangle, which is a concept in geometry. It also includes a statement that the formula is not the average of the side lengths, but this is more of a clarification or a fact rather than a problem or solution. There is no clear problem being presented o...
https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=131&t=27770&p=84640	## 9.73 and delta S tot $\Delta S = \frac{q_{rev}}{T}$ ClaireHW Posts: 60 Joined: Fri Sep 29, 2017 7:07 am Been upvoted: 1 time ### 9.73 and delta S tot How does delta S tot determine spontaneity? I am confused to the difference between delta S and delta S tot. (Claire Woolson Dis 1K) Cooper1C Posts: 50 Joined: F...	2020-01-28 05:11:41	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The text provided does not exhibit any backtracking behavior. The conversation between ClaireHW and Cooper1C is a straightforward discussion about the concept of delta S tot and its relatio...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Thermodynamics ## Rationale The text discusses the concept of entropy (delta S) and its relation to spontaneity, which is a fundamental concept in thermodynamics...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking calculations. The tex...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The conversation between ClaireHW and ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. The conversation starts with a question about the relationship between delta S tot and spontaneity,...	no	<count>0</count>.	The text provided does not exhibit any backtracking behavior. The conversation between ClaireHW and Cooper1C is a straightforward discussion about the concept of delta S tot and its relation to spontaneity, with Cooper1C providing an explanation to clarify the difference between delta S and delta S tot. There are no in...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. The conversation starts with a question about the relationship between delta S tot and spontaneity, and the response provides an explanation of the concept, starting from the principles of thermodynamics and then applying them to examples. The writer is not working ...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking calculations. The text appears to be a discussion about the concept of delta S and delta S total in the context of thermodynamics, with an explanation of the third l...	yes	yes	science	Thermodynamics	The text discusses the concept of entropy (delta S) and its relation to spontaneity, which is a fundamental concept in thermodynamics. The problem is presented by the user "ClaireHW" who is confused about the difference between delta S and delta S tot. The solution is provided by "Cooper1C" who explains the third law o...
https://astronomy.stackexchange.com/questions/16290/how-many-actual-stars-are-polaris	How many actual stars are Polaris? I am getting conflicting accounts everywhere. I heard astronomers saying Polaris is a 3-star system. Some say they are binary but are optical-doubled with a 3rd. Phil Plait a renowned astronomer wrote in his book Bad Astronomy that Polaris is sextuple star system. ... but due to it...	2020-04-01 15:27:11	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The text provided does not exhibit any explicit backtracking behavior. The writer presents different accounts and information about the Polaris star system, discusses potential discrepancie...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Astronomy, Stellar Systems ## Rationale The text describes a problem where the author is seeking clarification on the number of stars in the Polaris system, citi...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calcula...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? yes ## Number of answer verification steps <count>5</count>. ## Rationale The text contains several instances of answer verification, where the author breaks down the problem into smaller, intermediate goals to verify the answer. These steps ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. The writer is trying to answer the question of how many stars are in the Polaris system, but they a...	no	<count>0</count>.	The text provided does not exhibit any explicit backtracking behavior. The writer presents different accounts and information about the Polaris star system, discusses potential discrepancies, and provides explanations and context. However, there is no instance where the writer explicitly abandons a thought or approach ...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. The writer is trying to answer the question of how many stars are in the Polaris system, but they approach the problem by presenting various sources of information, discussing the complexity of the issue, and providing context about the limitations of current knowle...	no	<count>0</count>.	The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The writer presents information and discusses different sources, but does not perform any calculations or comparisons to verify the accura...	yes	yes	science	Astronomy, Stellar Systems	The text describes a problem where the author is seeking clarification on the number of stars in the Polaris system, citing conflicting information from different sources, including a renowned astronomer, Phil Plait. The solution is provided by another user, James Kilfiger, who explains that Polaris is known to have at...
https://pos.sissa.it/352/185/	Volume 352 - XXVII International Workshop on Deep-Inelastic Scattering and Related Subjects (DIS2019) - Working Group 6: Spin and 3D Structure Transverse Single-Spin Asymmetries of Midrapidity Eta Mesons at PHENIX N. Lewis* On behalf of the PHENIX collaboration *corresponding author Full text: pdf Pre-published on: 201...	2019-12-11 17:17:38	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal abstract for a scientific paper and presents a straightforward overview of the topic without any indication of t...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? no ## Text domain (broad) science ## Text domain (specific) Particle Physics, Quantum Chromodynamics (QCD) ## Rationale The text discusses the phenomenon of Transverse Single-Spin Asymmetries (TSSAs) in proton-proton colli...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by verifying the outcome of a ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be an abst...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided appears to be an abstract for a research paper on Transverse Single-Spin Asymmetries of Midrapidity Eta Mesons at PHENIX. It introduces...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal abstract for a scientific paper and presents a straightforward overview of the topic without any indication of the author re-evaluating or changing their approach mid-text. There are no phrases or sentences that suggest the author is abandonin...	no	<count>0</count>	The text provided appears to be an abstract for a research paper on Transverse Single-Spin Asymmetries of Midrapidity Eta Mesons at PHENIX. It introduces the topic, provides some background information, and states the purpose of the research. The text follows a logical and chronological structure, starting from the int...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by verifying the outcome of a calculation. The text appears to be an abstract for a research paper, discussing the background, context, and objectives of the study on transve...	yes	no	science	Particle Physics, Quantum Chromodynamics (QCD)	The text discusses the phenomenon of Transverse Single-Spin Asymmetries (TSSAs) in proton-proton collisions, which is a topic in particle physics. The problem mentioned is that the origin of large TSSAs remains poorly understood, despite being observed in various experiments. The text does not provide a solution to thi...
http://light-am.com/en/article/doi/10.1038/s41377-019-0174-6	Citation: # Giant non-linear susceptibility of hydrogenic donors in silicon and germanium • Light: Science & Applications 8, Article number: 64 (2019) • Corresponding author: Benedict N. Murdin (b.murdin@surrey.ac.uk) Revised: 14 May 2019 Accepted: 17 June 2019 Published online: 10 July 2019 • Implicit summation is ...	2021-03-08 03:02:52	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal scientific article that presents research on the non-linear susceptibility of hydrogenic donors in silicon and g...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Materials Science and Physics, specifically Nonlinear Optics and Semiconductor Physics ## Rationale The text appears to be a scientific article discussing the non...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a scien...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a scientific article discussing the non-linear susceptibility of hydrogenic donors in silicon and germanium. The authors ...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal scientific article that presents research on the non-linear susceptibility of hydrogenic donors in silicon and germanium. The text follows a logical and structured approach, introducing the topic, explaining the methodology, and discussing the...	no	<count>0</count>	The provided text appears to be a scientific article discussing the non-linear susceptibility of hydrogenic donors in silicon and germanium. The authors present their research, citing various references and explaining their methodology and results. However, upon analyzing the text, there is no clear evidence of backwar...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a scientific article discussing the non-linear susceptibility of hydrogenic donors in silicon and germaniu...	no	yes	science	Materials Science and Physics, specifically Nonlinear Optics and Semiconductor Physics	The text appears to be a scientific article discussing the non-linear susceptibility of hydrogenic donors in silicon and germanium, with a focus on its applications in photonic devices. The article presents a technique for deriving the non-linear susceptibility and predicts the hyperpolarizability of Si:P, comparing it...
https://codereview.stackexchange.com/questions/92968/ef-lookups-and-enums	# EF lookups and enums I have a lookup table "RequestTypes" that has the following data: ID Type ---- ----- 1 Leave 2 Loan 3 BlahBlah Using EF, and whenever the need arise to check the type of the request, I used to do something like: if (row.RequestType.ID == 1) { // request is leave } else...	2019-09-22 11:01:48	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The writer does not exhibit backtracking behavior in the provided text. They present a problem, propose a solution, and then refine the solution based on feedback from others. However, at n...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) computer science ## Text domain (specific) Entity Framework, C# programming, enums ## Rationale The text describes a problem with using magic numbers in code and the author's attempts to improve ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a discu...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. The writer is presenting a problem and potential solutions, but the reasoning is straightforward an...	no	<count>0</count>.	The writer does not exhibit backtracking behavior in the provided text. They present a problem, propose a solution, and then refine the solution based on feedback from others. However, at no point do they explicitly abandon a thought or approach and revert to a previous one, which is the defining characteristic of back...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. The writer is presenting a problem and potential solutions, but the reasoning is straightforward and does not involve working backward from a goal. The writer is describing their thought process and the steps they took to improve their code, but this is not an examp...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text is primarily a discussion about coding practices and solutions to a specific problem, with suggestions and advice from v...	yes	yes	computer science	Entity Framework, C# programming, enums	The text describes a problem with using magic numbers in code and the author's attempts to improve the code using enums. The author then asks if their solution is good practice and receives feedback from others, including suggestions for improvement. The text contains both a problem (the use of magic numbers and the ne...	Is overloading operators and using multiple if-else statements a good practice for handling enums in Entity Framework, or is there a better way?	<think>I think I should first consider the readability and maintainability of the code. Overloading operators and using multiple if-else statements can make the code harder to read and maintain. I should also consider the suggestions made by Heslacher, such as using a switch statement and casting only once. Additionall...
https://global-sci.org/intro/article_detail/jms/996.html	Volume 49, Issue 2 The Traveling Wave of Auto-Catalytic Systems-Monotone and Multi-Peak Solutions J. Math. Study, 49 (2016), pp. 149-168. Published online: 2016-07 Cited by Export citation • Abstract This article studies propagating wave fronts of a reaction-diffusion system modeling an isothermal chemical reactio...	2022-10-03 18:07:04	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal academic article that presents a structured and linear discussion of a mathematical topic, without any instances...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Chemical Reaction-Diffusion Systems, Mathematical Modeling ## Rationale The text appears to be a research article in the field of mathematical chemistry, specific...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a research article abstract and citation information, and does not contain any explicit verification steps where the author checks their own wor...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a research article abstract and citation information, and does not contain any explicit subgoal setting or step-by-step problem-solving p...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided appears to be a scientific article discussing the traveling wave of auto-catalytic systems, specifically the Gray-Scott model. The auth...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal academic article that presents a structured and linear discussion of a mathematical topic, without any instances of the author abandoning a thought or approach and trying a different one. The text is written in a clear and concise manner, with...	no	<count>0</count>	The text provided appears to be a scientific article discussing the traveling wave of auto-catalytic systems, specifically the Gray-Scott model. The author presents the research goals, methods, and findings in a straightforward and linear manner, without any apparent backward-chaining behavior. Backward chaining typica...	no	<count>0</count>.	The provided text appears to be a research article abstract and citation information, and does not contain any explicit verification steps where the author checks their own work by comparing results to known values or checking calculations. The text presents theoretical models, derivations, and conclusions, but does no...	no	yes	science	Chemical Reaction-Diffusion Systems, Mathematical Modeling	The text appears to be a research article in the field of mathematical chemistry, specifically focusing on reaction-diffusion systems and traveling wave solutions. The article presents a study on the propagating wave fronts of a reaction-diffusion system modeling an isothermal chemical reaction, and derives explicit bo...	What are the explicit bounds $c_∗$ and $c^∗$ derived in the article for the traveling wave speeds of the reaction-diffusion system?	<think>I need to find the explicit bounds for the traveling wave speeds mentioned in the article. The article discusses a reaction-diffusion system with two chemical species, $A$ and $B$, and mentions that explicit bounds $c_∗$ and $c^∗$ are derived. These bounds depend on the ratio $D_B/D_A$. I should verify that thes...
https://stats.stackexchange.com/questions/138987/are-there-differences-between-delta-tf-idf-and-tf-idf/231233	# Are there differences between Delta TF-IDF and TF-IDF? Are there differences between both algorithm or not ? i mean if i implement for ex Delta TF-IDF in a project instead of TF-IDF, Does the result will be different and which of both are better ? • What is Delta TF-IDF? Never heard of it... – Has QUIT--Anony-Mous...	2020-10-28 20:43:12	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The text provided is a conversation between users discussing the differences between Delta TF-IDF and TF-IDF. The conversation flows logically, with users asking questions and providing expl...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) computer science ## Text domain (specific) Natural Language Processing, Text Classification, Information Retrieval ## Rationale The text discusses the differences between two algorithms, TF-IDF a...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The conversation is primarily focu...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided is a conversation between users discussing the differences between Delta TF-IDF and TF-IDF algorithms. The conversation starts with a q...	no	<count>0</count>	The text provided is a conversation between users discussing the differences between Delta TF-IDF and TF-IDF. The conversation flows logically, with users asking questions and providing explanations. There are no instances where the writer explicitly abandons a thought or backtracks to a previous computation. The conve...	no	<count>0</count>	The text provided is a conversation between users discussing the differences between Delta TF-IDF and TF-IDF algorithms. The conversation starts with a question about the differences between the two algorithms and proceeds with explanations and clarifications. The discussion is primarily focused on understanding the co...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text is primarily a discussion about the differences between Delta TF-IDF and TF-IDF, with explanations and examples, but it ...	yes	yes	computer science	Natural Language Processing, Text Classification, Information Retrieval	The text discusses the differences between two algorithms, TF-IDF and Delta TF-IDF, which are used in natural language processing and text classification. The problem is identified as the need to understand the differences between these two algorithms and their applications. The solution is provided through explanation...	Are there differences between Delta TF-IDF and TF-IDF?	<think> I need to understand the differences between Delta TF-IDF and TF-IDF. I know that TF-IDF is a standard weighting scheme for Bag of Words, where each word or n-gram is associated with a TF value and an IDF value. I should compare this with Delta TF-IDF, which seems to be an improvement over TF-IDF. In Delta TF-I...
http://it.findeen.com/isosceles_triangle_formula_area.html	• ### Isosceles Triangle Equations Formulas Calculator - Area ... Geometry calculator for solving the area of a isosceles triangle given the length of sides a and b.http://www.ajdesigner.com/phptriangle/isosceles_triangle_area_k.php • ### How to Find the Area of an Isosceles Triangle (with Pictures) How to Find the A...	2017-06-23 20:52:36	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The provided text is a list of links and descriptions related to isosceles triangles, with no narrative or problem-solving content that would indicate backtracking behavior. The text does no...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Geometry, specifically triangles (isosceles triangles) ## Rationale The text appears to be a collection of links and descriptions related to isosceles triangles, pro...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a collection of links and descriptions related to isosceles triangles, their formulas, and calculations. However, upon reviewing the content, th...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a collection of links and descriptions related to isosceles triangles, their properties, and formulas for calculating the...	no	<count>0</count>	The provided text is a list of links and descriptions related to isosceles triangles, with no narrative or problem-solving content that would indicate backtracking behavior. The text does not contain any phrases or sentences that suggest the writer is abandoning a thought or approach and trying a different one, such as...	no	<count>0</count>	The provided text appears to be a collection of links and descriptions related to isosceles triangles, their properties, and formulas for calculating their area. The text does not demonstrate backward-chaining behavior, which involves working towards a goal by starting from the goal and reasoning backward. Instead, the...	no	<count>0</count>.	The provided text appears to be a collection of links and descriptions related to isosceles triangles, their formulas, and calculations. However, upon reviewing the content, there are no explicit instances where the writer checks their own work, compares results to known values, or verifies calculations. The text prima...	no	yes	math	Geometry, specifically triangles (isosceles triangles)	The text appears to be a collection of links and descriptions related to isosceles triangles, providing formulas, equations, and explanations for finding the area of such triangles. There is no specific problem stated, but rather a presentation of solutions and information on the topic. The language and content suggest...	What is the formula used to find the area of an isosceles triangle?	<think>I think I should try to find the formula for the area of an isosceles triangle. The formula should be similar to the area of any triangle, which is 1/2 times the base times the height. I see that for an isosceles triangle, the height is the line that bisects the two equal sides, making it perpendicular to the ba...
http://www.mathalino.com/reviewer/differential-calculus/differential-calculus	# Differential Calculus In the following formulas, , , and are differentiable functions of and and are constants. Differentiation of Algebraic Functions 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. Differentiation of Logarithmic and Exponential Functions 1. 2. 3. 4. 5. 6. Differentiation ...	2014-11-24 03:28:03	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a table of contents or an index for a differential calculus resource, followed by a discussion thread where us...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Differential Calculus ## Rationale The text contains a list of formulas related to differential calculus, which suggests that it is discussing mathematical concepts...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the results of calcul...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the model breaks down a problem into smaller, intermediate goals. The text appears to be a table of...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a table of contents or an index for a differential calculus resource, followed by some user comments and feedback. The te...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a table of contents or an index for a differential calculus resource, followed by a discussion thread where users are providing feedback and asking questions. There are no instances where the writer abandons a thought or computation and expl...	no	<count>0</count>	The provided text appears to be a table of contents or an index for a differential calculus resource, followed by some user comments and feedback. The text does not demonstrate any backward-chaining behavior, where the writer starts with a goal and works backward to achieve it. The comments and feedback are primarily f...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the results of calculations. The text appears to be a table of contents or index for a differential calculus resource, with some user comments and feedback at the en...	yes	yes	math	Differential Calculus	The text contains a list of formulas related to differential calculus, which suggests that it is discussing mathematical concepts. The presence of comments and replies, such as "There's a missing Trigonometric Functions on the derivative of Hyperbolic Functions from no. 3-6" and "Thanks for your feedback sir Glenn. The...
https://indico.cern.ch/event/656452/contributions/2869795/	# Quark Matter 2018 13-19 May 2018 Venice, Italy Europe/Zurich timezone The organisers warmly thank all participants for such a lively QM2018! See you in China in 2019! ## Correlation between higher order flow harmonics and their non-linear modes for (un)identified charged hadrons in Pb-Pb collisions measured with AL...	2020-03-30 18:24:01	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal and structured presentation of information about a scientific conference and a specific talk, without any instan...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Particle Physics, Quark-Gluon Plasma ## Rationale The text appears to be a presentation abstract from a conference in particle physics, specifically discussing th...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by checking the results of cal...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a conference program and abstract for a physics presentation. It does not contain any explicit subgoal setting, where the problem is brok...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided appears to be a conference program and a presentation abstract from the Quark Matter 2018 conference. The abstract describes the resear...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal and structured presentation of information about a scientific conference and a specific talk, without any instances of the writer abandoning a thought or trying a different approach. The text follows a logical and linear structure, presenting ...	no	<count>0</count>	The text provided appears to be a conference program and a presentation abstract from the Quark Matter 2018 conference. The abstract describes the research goals, methods, and expected outcomes of a study on quark-gluon plasma. However, it does not exhibit backward-chaining behavior, where the writer starts from the go...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by checking the results of calculations. The text appears to be a conference presentation abstract, presenting measurements and comparisons to hydrodynamic models, but it doe...	no	yes	science	Particle Physics, Quark-Gluon Plasma	The text appears to be a presentation abstract from a conference in particle physics, specifically discussing the quark-gluon plasma and heavy-ion collisions. It presents measurements and comparisons to hydrodynamic models, but does not explicitly state a problem to be solved. Instead, it discusses the results of an ex...
https://runestone.academy/ns/books/published/cppds/Sort/Summary.html	# 7.10. Summary¶ • A bubble sort, a selection sort, and an insertion sort are $$O(n^{2})$$ algorithms. • A shell sort improves on the insertion sort by sorting incremental sublists. It falls between $$O(n)$$ and $$O(n^{2})$$. • A merge sort is $$O(n \log n)$$, but requires additional space for the merging process. ...	2023-02-01 06:13:35	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It presents a series of statements about different sorting algorithms and their time complexities without revising or abandonin...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) science ## Text domain (specific) Computer Science, Algorithms ## Rationale The text provides a summary of different sorting algorithms, their time complexities, and characteristics. It does not po...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or verifying calculations. The te...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down a problem into smaller, intermediate goals. It appears to be a summary of di...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a summary of different sorting algorithms and their time complexities. It presents information in a straightforward manne...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It presents a series of statements about different sorting algorithms and their time complexities without revising or abandoning any previous thoughts. The text proceeds in a linear fashion, discussing various sorting methods and their characteristics, but d...	no	<count>0</count>	The provided text appears to be a summary of different sorting algorithms and their time complexities. It presents information in a straightforward manner, listing various algorithms and their characteristics without working backwards from a goal. The text does not demonstrate backward-chaining behavior, where the writ...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or verifying calculations. The text appears to be a summary of different sorting algorithms and their time complexities, presented as statements without any self-validation or c...	no	no	science	Computer Science, Algorithms	The text provides a summary of different sorting algorithms, their time complexities, and characteristics. It does not pose a specific problem to be solved, nor does it provide a solution to a particular problem. Instead, it presents information about various algorithms, making it an informative or descriptive text rat...
https://eprint.iacr.org/2017/118	## Cryptology ePrint Archive: Report 2017/118 A New Structural-Differential Property of 5-Round AES Lorenzo Grassi and Christian Rechberger and and Sondre Rønjom Abstract: AES is probably the most widely studied and used block cipher. Also versions with a reduced number of rounds are used as a building block in many...	2018-11-20 07:24:19	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal and structured abstract of a research paper, presenting a new property of 5-round AES and its applications. The ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Cryptography, specifically Block Ciphers and AES ## Rationale The text describes a problem related to the security of the AES block cipher, specifically the exis...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calcula...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a research pape...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. It appears to be a straightforward presentation of a research paper, starting with an introduction ...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal and structured abstract of a research paper, presenting a new property of 5-round AES and its applications. The text follows a logical and linear progression, without any instances of the authors abandoning a thought or approach and trying a d...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. It appears to be a straightforward presentation of a research paper, starting with an introduction to the topic, followed by a description of the research, and then a discussion of the results and applications. The authors do not seem to be working backwards from a ...	no	<count>0</count>.	The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The authors do mention that they "not only observe this property experimentally" and provide a "detailed proof" to support their claims, b...	yes	yes	science	Cryptography, specifically Block Ciphers and AES	The text describes a problem related to the security of the AES block cipher, specifically the existence of non-random properties in up to 4 rounds of AES. The authors then present a solution, a new structural-differential property for up to 5 rounds of AES, and demonstrate its application in distinguishing the 5-round...
https://stats.stackexchange.com/questions/329253/numerical-estimation-of-binomial-confidence-interval	# Numerical estimation of binomial confidence interval I have two measurements from two different distributions. I know both of these distributions are binomial and I measure $k_1$ successes from $n_1$ trials for distribution 1 and $k_2$ successes from $n_2$ trials from distribution 2. From this, I estimate the probab...	2018-12-10 23:01:46	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The writer does not exhibit backtracking behavior in the provided text. They present a problem, discuss potential approaches, and consider alternative methods, but they do not explicitly aba...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Statistics, specifically Confidence Intervals and Binomial Distributions ## Rationale The text describes a problem of estimating the probability parameters of two b...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or verifying calculations. The te...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text presents a problem and discusses ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? yes ## Number of backward-chaining instances <count>2</count> ## Rationale The text exhibits backward-chaining behavior in two instances. Firstly, the writer starts with the goal of calculating a confidence interval for a gener...	no	<count>0</count>	The writer does not exhibit backtracking behavior in the provided text. They present a problem, discuss potential approaches, and consider alternative methods, but they do not explicitly abandon a thought or go back to try a different approach. The writer does explore different ideas and possibilities, but this is a li...	null	null	null	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or verifying calculations. The text primarily discusses the challenge of calculating confidence intervals for arbitrary functions of binomial distribution parameters and explore...	yes	yes	math	Statistics, specifically Confidence Intervals and Binomial Distributions	The text describes a problem of estimating the probability parameters of two binomial distributions and calculating confidence intervals for functions of these parameters. The author is seeking a numerical technique to calculate confidence intervals for arbitrary functions of the parameters, and while they mention a po...	Is there a numerical technique for calculating a confidence interval for a function $f(p_1, p_2)$ of two binomial distribution parameters $p_1$ and $p_2$?	<think>I have two binomial distributions with estimated parameters $p_1$ and $p_2$. I want to find a confidence interval for a function $f(p_1, p_2)$, but I can't find a general method for this. I know how to calculate confidence intervals for specific forms of $f$, but not for general forms. I considered using a Bayes...
http://mathandmultimedia.com/category/pedagogy-and-teaching/page/4/	## Constructing Open-Ended Math Problems We communicate to students what we value through the questions we ask. If we ask them questions always require them to memorize, then we are implicitly telling them, that mathematics is a science of procedures and formulas. On the other hand, if ask them challenging questions,...	2022-05-19 11:11:51	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any instances of backtracking behavior. The writer presents a clear and structured discussion on open-ended math problems and lesson study, without abando...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) education/math ## Text domain (specific) Math Education, Teacher Professional Development ## Rationale The text discusses two main topics: constructing open-ended math problems and popularizing l...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the results of calcul...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain explicit subgoal setting in the context of breaking down a problem into smaller, intermediate goals for the purpose of answer verifica...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and then figuring out t...	no	<count>0</count>.	The provided text does not exhibit any instances of backtracking behavior. The writer presents a clear and structured discussion on open-ended math problems and lesson study, without abandoning any thoughts or reverting to a previous approach. The text flows logically, and the writer does not use phrases that indicate ...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and then figuring out the steps needed to achieve it. In the provided text, the authors are presenting information and explaining concepts in a linear and straightforward manner, without sta...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the results of calculations. The text primarily discusses educational concepts, such as open-ended math problems and lesson study, without including specific calcula...	yes	yes	education/math	Math Education, Teacher Professional Development	The text discusses two main topics: constructing open-ended math problems and popularizing lesson study. In the first part, it highlights the importance of asking challenging questions in math to promote problem-solving skills, implying that traditional closed-ended problems may be a limitation. This can be seen as a p...
https://support.bioconductor.org/u/6690/	User: Vang Le Vang Le70 Reputation: 70 Status: Trusted Location: Denmark Last seen: 5 days ago Joined: 3 years, 11 months ago Email: v**@rn.dk Posts by Vang Le <prev • 18 results • page 1 of 2 • next > 1 44 views 1 ... Not possible to upgrade to R 3.5 now, but I believe it will solve the problem as you suggested. Th...	2018-07-21 13:13:40	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text appears to be a collection of posts from a user named Vang Le on a forum or discussion board. Upon reviewing the text, there is no evidence of backtracking behavior, where...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Bioinformatics and Computational Biology, specifically genomics and R programming ## Rationale The text appears to be a collection of posts from a user named Van...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a collection of posts from a user named Vang Le on a forum or discussion board. The posts are related to bioinformatics and programming in R, an...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text appears to be a collection of posts from a user named Vang Le on a forum or discussion board, likely related to bioinformatics and R programming. Upon ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided appears to be a collection of posts from a user named Vang Le on a forum or discussion board, likely related to bioinformatics and prog...	no	<count>0</count>.	The provided text appears to be a collection of posts from a user named Vang Le on a forum or discussion board. Upon reviewing the text, there is no evidence of backtracking behavior, where the writer explicitly abandons a thought or approach and tries a different one. The posts seem to be individual questions, comment...	no	<count>0</count>	The text provided appears to be a collection of posts from a user named Vang Le on a forum or discussion board, likely related to bioinformatics and programming in R. Upon reviewing the posts, there is no clear evidence of backward-chaining behavior, where the writer starts with a goal and works backward to achieve it....	no	<count>0</count>.	The provided text appears to be a collection of posts from a user named Vang Le on a forum or discussion board. The posts are related to bioinformatics and programming in R, and they contain code snippets and questions. However, there are no explicit verification steps, such as comparing results to known values or chec...	yes	yes	science	Bioinformatics and Computational Biology, specifically genomics and R programming	The text appears to be a collection of posts from a user named Vang Le on a Q&A forum, likely related to bioinformatics and computational biology. The posts contain code snippets, error messages, and questions about specific bioinformatics tools and packages, such as GenomicRanges, AnnotationHub, and R. The user is see...
https://ideas.repec.org/a/spr/psycho/v82y2017i3d10.1007_s11336-016-9516-y.html	# Objective Bayesian Comparison of Constrained Analysis of Variance Models ## Author Listed: • Guido Consonni () (Università Cattolica del Sacro Cuore) • Roberta Paroli (Università Cattolica del Sacro Cuore) ## Abstract In the social sciences we are often interested in comparing models specified by parametric eq...	2020-12-05 12:44:30	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal academic abstract and reference list, and as such, it does not contain the kind of exploratory or iterative lang...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? yes ## Text domain (broad) science ## Text domain (specific) Statistics, specifically Bayesian analysis and hypothesis testing ## Rationale The text discusses a specific problem in the field of statistics, namely the compa...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by verifying calculations. The...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be an abst...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text does not exhibit backward-chaining behavior. It appears to be a formal academic abstract and reference list for a research paper on Obj...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal academic abstract and reference list, and as such, it does not contain the kind of exploratory or iterative language that would indicate backtracking. The text presents a clear and linear structure, without any instances of the author abandoni...	no	<count>0</count>	The provided text does not exhibit backward-chaining behavior. It appears to be a formal academic abstract and reference list for a research paper on Objective Bayesian Comparison of Constrained Analysis of Variance Models. The text is structured in a traditional and logical manner, starting with an introduction to the...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by verifying calculations. The text appears to be an abstract and reference list for a research article, and it does not include any mathematical derivations or calculations ...	yes	yes	science	Statistics, specifically Bayesian analysis and hypothesis testing	The text discusses a specific problem in the field of statistics, namely the comparison of constrained analysis of variance models using an objective Bayesian approach. The authors propose a solution to this problem, which involves the use of Bayes factors and intrinsic priors. The text is highly technical and assumes ...
https://ltwork.net/9-3x-5-9-5x-3-how-many-solutions-do-you-get-when-you-solve--7515290	# 9(3x - 5) = -9(-5x - 3)how many solutions do you get when you solve ? ###### Question: 9(3x - 5) = -9(-5x - 3) how many solutions do you get when you solve ? ### To measure a website's , search engines examine characteristics of words on a webpage to get a measure of the page's content To measure a website's , se...	2023-02-04 18:15:17	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? no ## Text domain (broad) math/science/english/history/... (multiple domains are present, but the majority of the text is related to) math/science ## Text domain (specific) Algebra, Physics, History, English Grammar, etc. (...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning ...	no	<count>0</count>.	The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears to be a collection of unrelated questions and prompts, with no narrative or problem-solving sequence that would require backtracki...	no	<count>0</count>	The provided text does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning backward to find the steps needed to achieve it. The text appears to be a collection of unrelated questions and prompts from various subjects, including mathematics, h...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a collection of various questions and prompts from different subjects, but none of them include a step whe...	yes	no	math/science/english/history/... (multiple domains are present, but the majority of the text is related to) math/science	Algebra, Physics, History, English Grammar, etc. (multiple specific domains are present)	The provided text contains a collection of problems and questions from various domains, including math (algebra), science (physics, chemistry), history, and english grammar. Each problem or question is self-contained and does not provide a solution, indicating that the text is a compilation of exercises or assignments ...	9(3x - 5) = -9(-5x - 3), how many solutions do you get when you solve?	<think>I need to solve this equation to find out how many solutions there are. First, I'll distribute the 9 and -9 on both sides of the equation. This gives me 27x - 45 = 45x + 27. Now, I'll move all the x terms to one side and the constants to the other. Subtracting 27x from both sides and subtracting 27 from both sid...
http://dave.thehorners.com/index.php?option=com_user&view=login&return=aHR0cDovL2RhdmUudGhlaG9ybmVycy5jb20vc3VibWl0LW5ldy1xdW90ZXMtdXNlcm1lbnUtMTIyLzUzMy1hcy10aGUtc3Bpcml0LXdhbmVzLXRoZS1mb3JtLWFwcGVhcnM=	Dave Horner's Website - Yet another perspective on things... 87 guests Rough Hits : 5017635 how did u find my site? which seems more true? "Software people tend to favor the joy of complexity, yet we should strive for the joy of simplicity." - Alan Kay $$\cos x = \sum\limits_{n = 0}^\infty {\frac{{\left( { - 1} \ri...	2022-10-07 21:36:21	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It appears to be a static webpage with various pieces of information, including a quote and a mathematical equation. There is n...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? no ## Text domain (broad) math/science ## Text domain (specific) Mathematics, specifically Trigonometry and Series Expansion ## Rationale The text does not present a specific problem to be solved, but rather a quote and a m...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing results to known values or checking calculations. T...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting or steps to break down a problem into smaller, intermediate goals. It appears to be a personal website wi...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text appears to be a personal website's homepage with some quotes and a mathematical equation. There is no clear goal-oriented reasoning or ...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It appears to be a static webpage with various pieces of information, including a quote and a mathematical equation. There is no narrative or problem-solving process where the writer attempts a path, realizes it won't work, and then backtracks to try a diffe...	no	<count>0</count>	The provided text appears to be a personal website's homepage with some quotes and a mathematical equation. There is no clear goal-oriented reasoning or problem-solving process presented in the text. The quote from Alan Kay discusses a principle, and the mathematical equation is a statement of fact. Neither of these el...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work, such as comparing results to known values or checking calculations. The text appears to be a collection of miscellaneous information, including website statistics, a quote, and a mathematical equation, but it does...	no	no	math/science	Mathematics, specifically Trigonometry and Series Expansion	The text does not present a specific problem to be solved, but rather a quote and a mathematical equation for the cosine function as an infinite series. The equation is a known mathematical concept, and there is no indication of an attempt to solve a particular problem or address a challenge. The quote from Alan Kay di...
https://python-jgrapht.readthedocs.io/en/jgrapht-1.5.0.3/tutorials/sparse_graph.html	# Sparse graph tutorial¶ The sparse graph is a special implementation of a graph with integer vertices and edges. It has two main restrictions which are: • the graph is unmodifiable and thus needs to be bulk-loaded, • the vertices and edges are integers continously numbered in $$[0, n)$$ and $$[0, m)$$ where $$n$$ a...	2021-01-16 18:05:56	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. The writer presents a clear and linear explanation of sparse graphs, their benefits, and how to create one using the jgrapht li...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) computer science ## Text domain (specific) Graph Theory, Data Structures ## Rationale The text provides a tutorial on sparse graphs, explaining their restrictions, benefits, and how to create them...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or verifying calculations. The te...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text is a tutorial on sparse graphs, explaining their restrictions, benefits, and how to create them. It does not contain any explicit subgoal setting, wher...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. It appears to be a tutorial or instructional text that presents information in a linear and straigh...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. The writer presents a clear and linear explanation of sparse graphs, their benefits, and how to create one using the jgrapht library. There are no instances where the writer abandons a thought or approach and tries a different one, indicating no backtracking...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. It appears to be a tutorial or instructional text that presents information in a linear and straightforward manner, starting with the definition and characteristics of a sparse graph, followed by its benefits, and then providing an example of how to create a sparse ...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or verifying calculations. The text primarily focuses on explaining the characteristics and usage of sparse graphs, along with an example of how to create one using the `jgrapht...	no	yes	computer science	Graph Theory, Data Structures	The text provides a tutorial on sparse graphs, explaining their restrictions, benefits, and how to create them. It does not present a specific problem to be solved, but rather provides a solution (the sparse graph implementation) and explains its advantages and usage. The text assumes a context where the reader is alre...
https://zbmath.org/?q=an:1106.53033	## Geometric structures of vectorial type.(English)Zbl 1106.53033 Let $$(M^n,g)$$ be an oriented Riemannian manifold, $$\mathcal{F}(M^n)$$ its Riemannian frame bundle, which is a principal $$SO(n)$$-bundle, $$G$$ a fixed subgroup of $$SO(n)$$ and $$\mathcal{R}\subset\mathcal{F}(M^n)$$ a $$G$$-structure. Let $$Z$$ be t...	2022-05-25 06:38:16	{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal mathematical article that presents definitions, theorems, and references in a logical and structured manner. The...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Differential Geometry, specifically Riemannian manifolds and G-structures ## Rationale The text appears to be a mathematical paper discussing geometric structures of...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by checking the result of a ca...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a mathe...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The provided text is a mathematical article discussing geometric structures of vectorial type. It presents various definitions, theorems, and proofs rela...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal mathematical article that presents definitions, theorems, and references in a logical and structured manner. There are no instances where the author explicitly abandons a thought or approach and tries a different one, which is the characterist...	no	<count>0</count>	The provided text is a mathematical article discussing geometric structures of vectorial type. It presents various definitions, theorems, and proofs related to Riemannian manifolds, G-structures, and their properties. The text follows a logical and forward-chaining approach, where the authors start with basic definitio...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by checking the result of a calculation. The text appears to be a mathematical exposition and references various theorems, definitions, and results without providing explicit...	no	yes	math	Differential Geometry, specifically Riemannian manifolds and G-structures	The text appears to be a mathematical paper discussing geometric structures of vectorial type on Riemannian manifolds. It presents various definitions, theorems, and proofs related to G-structures, intrinsic torsion, and Weyl-Einstein geometry. The text assumes a high level of mathematical background knowledge and does...	What are the conditions under which a $$G$$-structure of vectorial type admits a closed 1-form $$\Gamma$$?	<think>I need to find the specific conditions under which a $$G$$-structure of vectorial type admits a closed 1-form $$\Gamma$$. The text mentions that if the structure group $$G$$ preserves a non-degenerate differential $$k$$-form or if $$G$$ lifts into the spin group $$\text{Spin}(n)$$ and admits a $$G$$-invariant al...
https://kyushu-u.pure.elsevier.com/ja/publications/prequantum-transfer-operator-for-symplectic-anosov-diffeomorphism	# Prequantum transfer operator for symplectic anosov diffeomorphism Frédéric Faure, Masato Tsujii 11 被引用数 (Scopus) ## 抄録 We define the preauantization of a symplectic Aaosov diffeoniorphism f : M -∗ M as a U(l) extension of the diffeoniorphism / preserving a connection related to the symplectic structure on M. We s...	2021-01-25 23:38:30	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count>. ## Rationale The provided text does not exhibit any backtracking behavior. It is a formal academic paper discussing the prequantum transfer operator for symplectic Anosov diffeomorphism, and the authors...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? no ## Contains Solution? yes ## Text domain (broad) math ## Text domain (specific) Dynamical Systems, Symplectic Geometry ## Rationale The text appears to be a mathematical research paper discussing the prequantum transfer operator for symplectic A...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calcu...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a mathe...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text provided appears to be a mathematical research paper discussing the prequantum transfer operator for symplectic Anosov diffeomorphism. The autho...	no	<count>0</count>.	The provided text does not exhibit any backtracking behavior. It is a formal academic paper discussing the prequantum transfer operator for symplectic Anosov diffeomorphism, and the authors present their research in a logical and structured manner without abandoning any thoughts or approaches. The text does not contain...	no	<count>0</count>	The text provided appears to be a mathematical research paper discussing the prequantum transfer operator for symplectic Anosov diffeomorphism. The authors present their research in a logical and forward-oriented manner, starting with definitions and building upon them to derive conclusions. There is no evidence of bac...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calculation. The text appears to be a mathematical paper discussing the prequantum transfer operator for symplectic Anosov diffeomorphism, and it pre...	no	yes	math	Dynamical Systems, Symplectic Geometry	The text appears to be a mathematical research paper discussing the prequantum transfer operator for symplectic Anosov diffeomorphisms. It presents a detailed analysis of the spectral properties of the operator and derives various results, including a "band structure" of the spectrum and a Weyl law for the number of ei...
https://blender.stackexchange.com/questions/94830/is-there-a-way-to-delete-unneeded-keyframes-automatically-with-v2-79	# Is there a way to delete unneeded keyframes automatically with v2.79? This is outdated: Is there a way to delete unneeded keyframes automatically? Pressing [ O ] now activates proportional editing in the action editor. So how can I delete all the useless keyframes that populates the middle of the lines of orange st...	2022-01-27 03:28:19	{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does backtrack? no ## Number of backtrack steps <count>0</count> ## Rationale The writer does not exhibit backtracking behavior in the provided text. They present a problem, mention that some information is outdated, and then rephrase the question to provide more cont...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Contains Problem? yes ## Contains Solution? no ## Text domain (broad) computer science ## Text domain (specific) 3D Modeling or Animation Software (Blender) ## Rationale The text mentions a specific version of software (v2.79) and features such as the action editor ...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or verifying calculations. The te...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does answer verification? no ## Number of answer verification steps <count>0</count>. ## Rationale The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a question abou...	<\|start_header_id\|>assistant<\|end_header_id\|> ## Does the text exhibit backward chaining? no ## Number of backward chaining instances <count>0</count> ## Rationale The text does not exhibit backward-chaining behavior. The writer starts by stating a problem ("Is there a way to delete unneeded keyframes automatically?...	no	<count>0</count>	The writer does not exhibit backtracking behavior in the provided text. They present a problem, mention that some information is outdated, and then rephrase the question to provide more context. However, they do not abandon a thought or approach and then explicitly go back to try a different one. The text is a straight...	no	<count>0</count>	The text does not exhibit backward-chaining behavior. The writer starts by stating a problem ("Is there a way to delete unneeded keyframes automatically?") and then provides additional context and clarifies their question, but does not work backward from a goal to achieve it. The text appears to be a straightforward in...	no	<count>0</count>.	The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or verifying calculations. The text appears to be a question about a specific functionality in a software (Blender) and does not include any instances of the writer validating o...	yes	no	computer science	3D Modeling or Animation Software (Blender)	The text mentions a specific version of software (v2.79) and features such as the action editor and keyframes, which are commonly used in 3D modeling and animation. The user is asking for a way to delete unneeded keyframes automatically, indicating a problem they are trying to solve, but no solution is provided in the ...

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