url stringlengths 14 2.42k | text stringlengths 100 1.02M | date stringlengths 19 19 | metadata stringlengths 1.06k 1.1k | backtracking_raw stringlengths 0 17.4k | verification_raw stringlengths 0 17.4k | subgoal_setting_raw stringlengths 0 17.4k | backward_chaining_raw stringlengths 0 12k | backtrack_count int64 0 4 ⌀ | backchain_count int64 0 6 ⌀ | verification_count int64 0 8 ⌀ | subgoal_count int64 0 15 ⌀ |
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http://www.zentralblatt-math.org/ioport/en/?q=an%3A05803070 | History
Please fill in your query. A complete syntax description you will find on the General Help page.
Efficient and numerically stable sparse learning. (English)
Balcázar, José Luis (ed.) et al., Machine learning and knowledge discovery in databases. European conference, ECML PKDD 2010, Barcelona, Spain, September ... | 2013-05-18 17:09:52 | {"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... | assistant```markdown
## Thoughts
The provided text is a summary of a research paper on sparse learning in machine learning. It does not contain any explicit statements indicating that the authors have realized a path won't work and are going back to try a different approach. The text describes the problem, the proposed... | assistant ## Thoughts
The provided text is a summary of a research paper on efficient and numerically stable sparse learning. It describes the problem, the proposed framework, and the experimental results. However, there are no explicit steps mentioned where the authors check their work, compare results to known values... | assistant ## Thoughts
The text describes a framework for addressing numerical stability and sparsity issues in sparse linear models. It outlines three main aspects of the proposed framework: numerical stability, control over sparsity, and scalability. These aspects can be seen as subgoals in the development of the fram... | assistant ## Thoughts
The provided text is a summary of a research paper on sparse learning in machine learning. It discusses the problem of numerical stability and model density growth when training a sparse linear model from large datasets. The text does not exhibit any backward-chaining behavior as it does not start... | 0 | 0 | 0 | 3 |
https://aviation.stackexchange.com/questions/68438/how-to-calculate-on-ground-aircraft-yaw-rate-knowing-the-longitudinal-speed-and | # How to calculate on ground aircraft yaw rate knowing the longitudinal speed and inferred yaw angle
• a generic aircraft is on-ground taxing at 50 feet per second (~15.25 m/s, ~29.5 knots)
• The pilot inferred 20 degrees of yaw
How can I calculate the yaw rate of the aircraft? Do I have enough information to calcula... | 2020-10-30 14:31:57 | {"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": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user | user | user | SupportedContent
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https://doc.sagemath.org/html/en/reference/number_fields/sage/rings/number_field/totallyreal_data.html | # Enumeration of Totally Real Fields¶
AUTHORS:
• Craig Citro and John Voight (2007-11-04): Type checking and other polishing.
• John Voight (2007-10-09): Improvements: Smyth bound, Lagrange multipliers for b.
• John Voight (2007-09-19): Various optimization tweaks.
• John Voight (2007-09-01): Initial version.
sage.ri... | 2019-10-23 13:28:31 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | SupportedContent
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5 | assistant ## Thoughts
The provided text is a documentation of a Python module related to number theory, specifically dealing with totally real fields. It contains descriptions of functions and their usage, but does not include any explicit breakdown of problems into smaller, intermediate goals. The text is more focused... | 3 | null | null | null | 0 |
https://unmethours.com/question/19980/how-do-i-solve-an-energyini-file-missing-error/ | Question-and-Answer Resource for the Building Energy Modeling Community
Get s tarted with the Help page
# How do I solve an Energy+.ini file missing error?
I've seen several other threads, but no solid answer I could decipher. So, this could be basic and I'm daft.
I am getting an error that my Energy+.ini file is mi... | 2021-10-19 14:57:21 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | userassistant
## Thoughts
The text provided is a series of questions and answers related to troubleshooting an error in EnergyPlus software. The writer does not exhibit any backtracking behavior in the sense of realizing a path won't work and explicitly going back to try a different approach. The text is a conversation... | assistant ## Thoughts
The text provided is a discussion thread about troubleshooting an error related to a missing Energy+.ini file in the EnergyPlus software. The participants are discussing the location of the file, the error messages, and potential solutions. There are no explicit steps taken to verify the correctne... | assistant ## Thoughts
The text provided is a discussion thread about troubleshooting an error related to a missing Energy+.ini file in the EnergyPlus software. The participants are asking questions and providing advice on how to resolve the issue. There is no explicit breakdown of the problem into smaller, intermediate... | user
## Thoughts
The text provided is a discussion thread about troubleshooting an error related to a missing Energy+.ini file in the EnergyPlus software. The participants are discussing the location of the file, the error messages, and potential solutions. There is no evidence of backward-chaining behavior in this tex... | 0 | 0 | 0 | 0 |
https://en.neurochispas.com/geometry/points-of-intersection-of-two-circles-examples-with-answers/ | # Points of Intersection of Two Circles – Examples with Answers
To find the points of intersection of two circles, we start by finding the equation of the common chord. This is accomplished by subtracting the equations of the circles to obtain a linear equation. Then, we substitute this equation into one of the equati... | 2023-01-29 12:12:34 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | 5 | user
## Thoughts
The provided text describes the process of finding the intersection points of two circles and provides several examples. However, none of the examples include a step where the writer explicitly checks their work by substituting the found points back into the original equations or verifying the results ... | 5 | SupportedContent
提供的文本中没有展示出任何反向链接的行为。文本主要描述了如何通过一系列步骤找到两个圆的交点，但并没有从目标结果开始反向推导的过程。
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count> | null | 0 | 0 | null |
https://proofwiki.org/wiki/Frobenius's_Theorem | # Frobenius's Theorem
Jump to: navigation, search
## Theorem
An algebraic associative real division algebra $A$ is isomorphic to $\R, \C$ or $\Bbb H$.
## Proof
An algebra $A$ is said to be quadratic if it is unital and the set $\left\{{1, x, x^2}\right\}$ is linearly dependent for every $x \in A$.
Thus, for every... | 2015-03-05 08:01:48 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | 200 | "text
2 | mathematical theorem named after Ferdinand Georg Frobenius. The provided text is a proof of Frobenius's Theorem, which states that an algebraic associative real division algebra is isomorphic to $\R, \C$, or $\Bbb H$. The proof does not explicitly break down the problem into smaller, intermediate goals in the form of s... | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | null | null | null | 0 |
https://api-project-1022638073839.appspot.com/questions/how-do-you-solve-log-x-log-3-2 | # How do you solve log x - log 3 = 2?
Jan 20, 2016
Use the property of logs , then exponentiate both sides of the equation ...
#### Explanation:
$\log x - \log 3 = 2$
$\log \left(\frac{x}{3}\right) = 2$
Assuming base 10 , exponentiate ...
${10}^{\log} \left(\frac{x}{3}\right) = {10}^{2}$
Simplify ...
$\frac{x}... | 2021-10-18 10:33:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 5, "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... | 22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222... | user5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | user5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | user2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222... | null | null | null | null |
https://proofwiki.org/wiki/Book:Murray_R._Spiegel/Mathematical_Handbook_of_Formulas_and_Tables/Chapter_17/Relationship_of_Beta_Function_to_Gamma_Function | # Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 17/Relationship of Beta Function to Gamma Function
## Relationship of Beta Function to Gamma Function
$17.2$: Beta Function: Definition 3 | 2023-03-23 21:03:37 | {"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... | user"text doesn't contain any backtracking behavior." | userSupportedContent | user提供的文本并没有展示任何明确的子目标设定。它似乎只是引用了一个关于Beta函数定义的公式，而没有展示解决问题或证明的过程，也没有提及任何分解问题为更小目标的行为。
## Does subgoal setting?
no
## Number of subgoal setting steps
<count>0</count> | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | null | null | null | 0 |
http://math.stackexchange.com/questions/499916/lim-calculus-problem-with-infinity/499931 | # lim calculus problem with infinity
$$\lim_{n→∞} \left( \left(\frac{n+3}{n+5}\right)^{n+4} + \sqrt[2n]{3n}\right)$$
I tried replacing n+5 with u and simplifying but the answer seems off. Help would be greatly appreciated.
-
What is +∧2n√3n supposed to mean? – some1.new4u Sep 20 '13 at 21:05
@some1.newfu I’m pretty... | 2014-11-01 09:55:17 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant
## Thoughts
The text provided does not contain any explicit statements indicating that the writer has realized a path won't work and is going back to try a different approach. The writer mentions trying a substitution but does not explicitly backtrack or mention an error in their calculation that requires the... | assistant
## Thoughts
The text provided is a discussion about solving a limit problem involving infinity. The participants are discussing the steps to solve the problem and correcting each other's misunderstandings. However, there is no explicit mention of verifying the solution by substituting values, checking constra... | assistant
## Thoughts
The text provided contains a detailed explanation of how to solve a limit problem. The writer breaks down the problem into smaller steps, particularly focusing on the left term and the right term of the limit expression separately. The writer first rewrites the left term and then discusses the beh... | assistant ## Thoughts
The text provided does not exhibit backward-chaining behavior. The explanations and hints given are working forward from the given expression to simplify and solve the limit problem. There is no instance where the writer starts with the goal or the desired result and works backward to prove or ver... | 0 | 0 | 0 | 2 |
https://www.springerprofessional.de/automatic-generation-of-uml-profile-graphical-editors-for-papyru/18268798?fulltextView=true | main-content
## Weitere Artikel dieser Ausgabe durch Wischen aufrufen
11.08.2020 | Special Section Paper | Ausgabe 5/2020 Open Access
# Automatic generation of UML profile graphical editors for Papyrus
Zeitschrift:
Software and Systems Modeling > Ausgabe 5/2020
Autoren:
Ran Wei, Athanasios Zolotas, Horacio Hoyos Ro... | 2020-11-25 11:51:11 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant
## Thoughts
The text provided is a scholarly article discussing the development of a tool named Jorvik, which automates the generation of UML profile graphical editors for Papyrus. The content is structured and formal, focusing on the technical aspects of UML profiling and the challenges faced in creating UML... | assistant
## Thoughts
The provided text is a scientific paper discussing the development of a tool named Jorvik, which automates the generation of UML profile graphical editors for Papyrus. The text does not contain any explicit verification steps where the authors check their work against known values or results. The ... | SupportedContent ends
SupportedContent ends | 0 | null | 0 | null | |
https://cp3.irmp.ucl.ac.be/projects/madgraph/wiki/SingleTopNLO?action=diff&version=2 | # Changes between Version 1 and Version 2 of SingleTopNLO
Ignore:
Timestamp:
04/06/12 16:33:02 (7 years ago)
Comment:
--
Unmodified
Added
Removed
Modified
• ## SingleTopNLO
v1 === Motivation === There are two ways to calculate t-channel single top production. The first is using a 2->2 process where the b-quark is ... | 2019-06-19 14:44:24 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | 22555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | 2 | 2 | 2 | null | null | null | null |
https://physics.stackexchange.com/questions/639834/in-order-to-synchronize-clock-should-the-observers-has-same-plane-of-simultaneit/639848 | # In order To synchronize clock should the observers has same plane of simultaneity?
Suppose we have to observer $$A$$ and $$B$$ with their time given by $$t_A$$ and $$t_B$$.To synchronize their clocks observer $$A$$ send lights at $$t_A$$ towards $$B$$. $$B$$ receives the light at $$t_B$$ and send it back to $$A$$,an... | 2021-07-25 15:43:31 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | userHeaderCodegentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgentextgente... | user
## Thoughts
The provided text is a discussion about the synchronization of clocks and the relativity of simultaneity in the context of special relativity. The text does not contain any explicit steps where the writer checks their own work or verifies the correctness of their calculations or conclusions.
## Does v... | user
## Thoughts
The text describes a process for synchronizing clocks between two observers, A and B, but it does not break down the process into smaller, intermediate goals. The description is more of a procedural explanation rather than a step-by-step subgoal setting.
## Does subgoal setting?
no
## Number of subgo... | userHeaderCode
user
## Thoughts
The provided text is a discussion about the synchronization of clocks between two observers in a uniform rotating frame. The text does not exhibit any backward-chaining behavior. The discussion revolves around the concept of simultaneity and clock synchronization in special relativity, b... | null | 0 | 0 | 0 |
https://www.coursehero.com/file/p1mfkm3/Answers-confidence-interval-research-hypothesis-null-hypothesis-standard-error/ | # Answers confidence interval research hypothesis null
• Test Prep
• amandaluna29
• 99
• 92% (83) 76 out of 83 people found this document helpful
This preview shows page 51 - 54 out of 99 pages.
Answers:confidence interval.research hypothesis.null hypothesis.standard error.Question 155 out of 5 pointsThe correct for... | 2021-10-27 06:28:42 | {"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... | assistant
## Thoughts
The provided text is a series of multiple-choice questions and answers related to statistical concepts such as confidence intervals, hypothesis testing, and t-tests. There is no indication of any backtracking behavior where the writer realizes a mistake or changes their approach. The text is a str... | user555 | user
## Thoughts
The provided text is a series of multiple-choice questions and answers related to statistical concepts such as confidence intervals, t-tests, and standard deviations. There is no indication of the writer breaking down the problem into smaller, intermediate goals or subgoals. The text is simply a list o... | user
## Thoughts
The provided text is a series of multiple-choice questions and answers related to statistical concepts such as confidence intervals, hypothesis testing, and standard deviation. There is no indication of backward-chaining behavior in the text. The questions and answers do not demonstrate a process of st... | 0 | 0 | null | 0 |
https://www.storyofmathematics.com/partial-derivatives | # Partial Derivatives – Definition, Properties, and Example
Knowing how to calculate partial derivatives allows one to study and understand the behavior of multivariable functions. This opens a wide range of applications in Calculus such as the tangent planes, Lagrange multipliers, and more. For now, it’s important ... | 2021-12-02 03:29:32 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant
## Thoughts
The provided text is an educational piece on partial derivatives, explaining their definition, notation, and calculation. The text does not contain any instances where the writer realizes a mistake or needs to backtrack to a previous computation. The content is presented in a straightforward manne... | ptive
SupportedContent
## Thoughts
The text provided is an educational piece on partial derivatives, explaining their definition, properties, and providing examples. However, the text does not | 0 | null | null | null | ||
http://mathhelpforum.com/differential-equations/73751-pde-fourier-method.html | # Thread: PDE - Fourier Method
1. ## PDE - Fourier Method
Obtain all solutions of the equation partial ^2 u/partial x^2 - partial u/partial y = u of the form u(x,y)=(A cos alpha x + B sin alphax)f(y) where A, B and alpha are constants. Find a solution of the equation for which u=0 when x=0; u=0 when x = pi, u=x when ... | 2018-04-20 15:35:57 | {"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... | user
## Thoughts
The text provided does not contain any explicit instances where the writer realizes a path won't work and goes back to try a different approach. The writer asks for help and guidance on solving a problem but does not backtrack in the sense of realizing a mistake or an incorrect approach and then correc... | assistant ## Thoughts
The text provided is a discussion about solving partial differential equations (PDEs) using the Fourier method. The participants are discussing the solution process and the form of the solution. However, there are no explicit steps taken to verify the correctness of the solutions or intermediate r... | assistant ## Thoughts
The text contains a detailed explanation of solving a partial differential equation (PDE) using the Fourier method. The writer breaks down the problem into several steps, including separating variables, solving the resulting ordinary differential equations (ODEs), and applying boundary conditions.... | partial | 0 | null | 0 | null |
https://cs.stackexchange.com/questions/129375/convergence-rate-of-newtons-method/129376 | # convergence rate of newton's method
So, I'm currently studying Newton method used for finding the 0's of a function, however my professor has only announced that the speed of this algorithm can be more than quadratic, however I'm wondering when this happens, since in the demonstration used by him to explain the quad... | 2021-04-17 15:34:39 | {"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... | assistant
## Thoughts
The text provided does not contain any explicit instances where the writer realizes a path won't work and goes back to try a different approach. The discussion revolves around the convergence rate of Newton's method and provides examples and explanations without any indication of backtracking.
##... | assistant ## Thoughts
The text provided is a discussion about the convergence rate of Newton's method, specifically focusing on when the convergence rate can be more than quadratic, such as cubic. The text does not contain any explicit verification steps where the writer checks their own work by comparing results to kn... | assistant ## Thoughts
The text provided does not contain any explicit subgoal setting. The text is a discussion about the convergence rate of Newton's method, with a specific example provided by a user. There are no clear steps or intermediate goals outlined in the text.
## Does subgoal setting?
no
## Number of subgo... | assistant ## Thoughts
The text provided does not exhibit backward-chaining behavior. The discussion revolves around the convergence rate of Newton's method and provides examples and explanations for different cases of convergence rates. However, it does not start from a goal and work backward to achieve it.
## Does th... | 0 | 0 | 0 | 0 |
https://www.mersenneforum.org/showthread.php?s=0462883396e7a8c7b2682fa428d15ab3&t=19232 | mersenneforum.org Who is adding all these N^a-1?
Register FAQ Search Today's Posts Mark Forums Read
2014-03-31, 08:15 #1 didgogns Mar 2014 South Korea 24 Posts Who is adding all these N^a-1? Distribution of composize numbers <= 120 digits Size Count 54 1 56 1 59 1 65 1,604 66 3,294 67 3,886 68 4,320 69 4,862 71 36... | 2020-09-26 03:04:05 | {"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... | user
## Thoughts
The provided text does not contain any instances of backtracking behavior. The text is a discussion thread from a forum about the distribution of composite numbers and efforts to factor them. There are no indications of the writers realizing a path won't work and explicitly going back to try a differen... | user
## Thoughts
The provided text is a discussion thread from a forum about the distribution of composite numbers and efforts to factorize them. There are no explicit steps taken to verify the correctness of any calculations or results within the text. The participants are discussing the rise in the number of composit... | user
## Thoughts
The text provided is a discussion thread from a forum about the distribution of composite numbers and efforts to factor them. There is no explicit breakdown of the problem into smaller, intermediate goals or subgoals. The participants are discussing the rise in the number of composites and the efforts ... | user
## Thoughts
The provided text is a discussion thread from a forum about the distribution of composite numbers and efforts to factorize them. The text does not contain any backward-chaining behavior as described in the task description. The participants are discussing the rise in the number of composite numbers and... | 0 | 0 | 0 | 0 |
https://mathoverflow.net/questions/253841/archimedean-completeness-of-some-fields | # Archimedean completeness of some fields
I need a reference (different from Hahn's 1907 paper) for the following result.
Theorem: If $G$ is a totally ordered abelian group, then the field $\mathbb{R}((G))$ is archimedean complete.
• $\mathbb{R}((G))$ consists of all the functions $f:G\to\mathbb{R}$ such that $\{g\i... | 2021-12-02 19:47:21 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant```markdown
## Thoughts
The text provided is a discussion about a mathematical theorem and its proof, along with some comments and clarifications. There is no indication of the writer realizing a path won't work and explicitly going back to try a different approach. The text does not contain phrases like "Let ... | assistant ## Thoughts
The provided text is a discussion about the Archimedean completeness of some fields and a request for a reference for a proof of a specific theorem. The text does not contain any explicit steps where the writer checks their own work or verifies a result.
## Does verification?
no
## Number of ans... | assistant ## Thoughts
The text provided is a request for a reference regarding a theorem about the Archimedean completeness of a specific field. It does not contain any explicit breakdown of the problem into smaller, intermediate goals. The text is more of a query for a reference and includes some definitions and a dis... | assistant ## Thoughts
The text provided is a discussion about the Archimedean completeness of some fields, specifically $\mathbb{R}((G))$. It does not contain any explicit backward-chaining behavior. The discussion revolves around the definition of Archimedean completeness and the embedding theorem, but it does not sta... | 0 | 0 | 0 | 0 |
https://tex.stackexchange.com/questions/380753/torus-with-cross-section-and-cut | # Torus with cross-section and cut
Is any simple way to draw torus with cross-section and cut like in picture?
\documentclass[tikz]{standalone}
\usetikzlibrary{shapes}
\begin{document}
\begin{tikzpicture}
\node [draw, cylinder, shape aspect=6, rotate=90, cylinder uses custom fill, cylinder body fill=lightgray!20, m... | 2019-06-19 18:47:04 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant ## Thoughts
The provided text does not contain any explicit backtracking behavior. The text consists of a discussion about drawing a torus with cross-section and cut using LaTeX and TikZ, followed by a quick sketch of a solution. There are no instances where the writer realizes a path won't work and explicitl... | assistant ## Thoughts
The provided text is a LaTeX code snippet for drawing a torus with a cross-section and cut. It does not contain any explicit verification steps where the author checks their work, compares results to known values, or confirms the correctness of their calculations or drawings.
## Does verification... | assistant ## Thoughts
The text provided is a LaTeX code snippet for drawing a torus with a cross-section and cut. It does not contain any explicit subgoal setting where the writer breaks down the problem into smaller, intermediate goals. The code is a complete set of instructions for drawing the torus, but it does not ... | assistant ## Thoughts
The provided text is a LaTeX code snippet for drawing a torus with a cross-section and cut. It does not contain any reasoning or problem-solving process that starts from a goal and works backward. The code is a set of instructions for creating a visual representation and does not involve backward-... | 0 | 0 | 0 | 0 |
https://www.techwhiff.com/issue/765-15-3-i-need-explination-also--379757 | # 765 ÷ 15 ÷ 3 = i need explination also.
###### Question:
765 ÷ 15 ÷ 3 =
i need explination also.
### Which type of bond forms between water molecules? capillary bond hydrogen bond covalent bond polar bond
Which type of bond forms between water molecules? capillary bond hydrogen bond covalent bond polar bond...
#... | 2022-11-30 00:08:13 | {"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... | user
5 | assistant ## Thoughts
The provided text does not contain any explicit verification steps. The text consists of several unrelated questions and statements without any steps taken to verify an answer or solution.
## Does verification?
no
## Number of answer verification steps
<count>0</count> | userHeaderCode not provided, assuming the task is to evaluate the provided texts for subgoal setting.
## Thoughts
The first text is a simple request for an explanation of a mathematical operation without any breakdown into subgoals. The second text is a question about the type of bond between water molecules, and the ... | userityEngineer your response to fit the given instruction and input. | null | null | 0 | 0 |
https://answers.ros.org/questions/320914/revisions/ | # Revision history [back]
### Show in RViZ coordinate of a point with respect to parent
Hi to all,
in my RViZ I visualized two sensors, where each one of them have a different position in my vehicle and different transformation. The position and the transformation of the sensors are placed in a xacro file.
e.g.:
<... | 2020-08-12 13:23:48 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant
## Thoughts
The provided text is a question posted on a forum about visualizing sensor data in RViZ. The writer is asking how to visualize the transformed coordinates of sensors in RViZ after applying transformations defined in a xacro file. There is no indication of the writer realizing a mistake or needing ... | assistant
## Thoughts
The provided text is a question about visualizing sensor data in RViZ, a 3D visualization tool for ROS (Robot Operating System). The user is asking how to visualize the transformed coordinates of sensors in RViZ after applying transformations defined in a xacro file. The text does not contain any ... | assistant
## Thoughts
The text does not contain any explicit subgoal setting. The writer is asking a question about visualizing sensor data in RViZ and does not break down the problem into smaller, intermediate goals.
## Does subgoal setting?
no
## Number of subgoal setting steps
<count>0</count> | user2 | 0 | null | 0 | 0 |
http://unix.stackexchange.com/questions/31161/quick-directory-navigation-in-the-terminal/31179 | # Quick directory navigation in the terminal
I would like to frequently switch between directories that are in totally unrelated paths, for example /Project/Warnest/docs/ and ~/Dropbox/Projects/ds/test/.
But I don't want to type cd /[full-path]/ all the time. Are there any shortcut commands to switch to previously wo... | 2015-01-27 12:36:52 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant
## Thoughts
The provided text is a discussion thread about quick directory navigation in the terminal. The participants suggest various methods to navigate directories more efficiently, such as using environment variables, the `cd -` command, `pushd` and `popd`, and other tools like `autojump`. There is no in... | assistant
## Thoughts
The provided text is a discussion about quick directory navigation in the terminal, with multiple users suggesting various methods and tools to achieve this. The text does not contain any explicit verification steps where the writer checks their own work or verifies the correctness of a solution.
... | assistant
## Thoughts
The text provided is a discussion thread about quick directory navigation in the terminal. It includes several suggestions and solutions, such as using environment variables, the `cd -` command, `CDPATH`, `pushd`, and a custom function `pd`. However, none of these solutions explicitly break down t... | assistant
## Thoughts
The provided text is a discussion about quick directory navigation in the terminal, with multiple users suggesting various methods and tools to achieve this. The text does not contain any backward-chaining behavior as described in the task description. The discussion revolves around practical solu... | 0 | 0 | 0 | 0 |
https://socratic.org/questions/what-is-the-equation-of-the-line-that-is-perpendicular-to-the-line-passing-throu-5#500577 | # What is the equation of the line that is perpendicular to the line passing through (-5,12) and (4,-3) at midpoint of the two points?
Nov 5, 2017
See a solution process below:
#### Explanation:
First, we need to find the mid-point and of the two points and the slope of the line going through the two points.
The f... | 2022-01-17 19:48:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 33, "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... | assistant
## Thoughts
The text provided is a step-by-step explanation of how to find the equation of a line that is perpendicular to the line passing through two given points and intersects at the midpoint of these points. The writer does not express any realization of a mistake or the need to go back and try a differe... | user
## Thoughts
The provided text describes the process of finding the equation of a line that is perpendicular to a given line segment and passes through its midpoint. The text goes through the steps of calculating the midpoint, the slope of the original line, the slope of the perpendicular line, and then the equatio... | assistant
## Thoughts
The text contains a clear breakdown of the problem into smaller, intermediate goals. The writer first explains the need to find the midpoint and slope of the line segment connecting the two given points. Then, the slope of the perpendicular line is calculated, and finally, the equation of the perp... | 0 | null | 0 | null | |
http://www.onlinedebate.net/forums/showthread.php/6878-A-Rebuttal-to-the-Cosmological-Argument/page19?p=535793 | Welcome guest, is this your first visit? Create Account now to join.
### Welcome to the Online Debate Network.
If this is your first visit, be sure to check out the FAQ by clicking the link above. You may have to register before you can post: click the register link above to proceed.
# Thread: A Rebuttal to the Cosm... | 2019-12-11 00:51:53 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | userHeaderCodeHeaderCodeHeaderCodeHeaderCodeHeaderCodeHeaderCodeHeaderCodeHeaderCodeHeaderCodeHeaderCodeHeaderCodeHeaderCodeHeaderCodeHeaderCodeHeaderCodeHeaderCodeHeaderCode | SupportedContentEndMarker | @PostMapping
POST | SupportedContent ends here. Please respond to the task. | null | null | null | null |
https://physics.stackexchange.com/questions/299258/how-is-the-frequency-of-a-photon-related-to-the-gravitational-force-it-exerts | # How is the frequency of a photon related to the gravitational force it exerts?
I know that even though a photon has no mass it still has energy. From what i understand the mass and velocity of a photon have no bearing on the amount of energy it emits, rather its energy is dependent solely on the frequency that the p... | 2020-07-13 23:44:03 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user | user552 | user5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | user5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | null | null | null | null |
http://mathhelpforum.com/advanced-algebra/129295-permutations-abelian-group-proof.html | # Thread: Permutations and Abelian Group proof.
1. ## Permutations and Abelian Group proof.
Where N=10,
I'm really struggling even starting both questions.
Thanks to anyone who can help.
2. $(N 2) = \left(\begin{array}{cccc}1&2&...&N\\1&N&...&2\end{ array}\right)$
$\alpha=(N 2)(12 (N-2) N) = \left(\begin{array}{c... | 2017-09-21 23:49:26 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 21, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... | user
## Thoughts
The text provided does not contain any explicit instances where the writer realizes a path won't work and goes back to try a different approach. The writer does not mention phrases like "Let me try again," "Wait," "I made a mistake," or "we need to try a different sequence of operations." The discussio... | user
## Thoughts
The text provided is a discussion thread about solving a problem related to permutations and Abelian groups. The participants are discussing the problem and providing solutions. However, there is no explicit mention of any verification steps where the participants check their work by substituting value... | user
## Thoughts
The text provided is a discussion thread about solving a problem related to permutations and Abelian Group proof. The participants are discussing the problem and providing steps to solve it. However, the text does not contain any explicit subgoal setting where the problem is broken down into smaller, i... | user
## Thoughts
The text provided is a discussion thread about solving a problem related to permutations and Abelian groups. The participants are discussing the correct interpretation of the problem and the steps to solve it. There is no clear indication of backward-chaining behavior in the text. The participants are ... | 0 | 0 | 0 | 0 |
https://rubberguppy.com/my-magical-mathematical-journey-part-2/ | As I was trying to say in my last post, two weeks ago I began my mathematical journey into smooth stretch. This time around I knew what I wanted to accomplish. I wanted a way to represent smooth stretch using just math. My Maya API chops had increased since my last attempt, so I could now wrap this math into a nice pyt... | 2018-12-18 16:21:00 | {"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... | assistant
## Thoughts
The text describes a journey through mathematical problem-solving where the author encounters several dead-ends and then backtracks to try different approaches. The author initially tries using a Gaussian function but finds it causes the IK chain to shrink, leading to a realization that the functi... | user
## Thoughts
The text describes a mathematical journey to create a smooth stretch function for an IK system in Maya. The author discusses the process of developing the function and the constraints it must meet, but does not explicitly check the results of the calculations or verify the correctness of the derived eq... | ','=__':
5 | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | 2 | null | 0 | null |
http://softwaretechnology.mattr.net.au/programming/algorithms.html | # Software Technology: Algorithms
Assumed Knowledge
Learning Outcomes
• Understand what an algorithm is
• Be able to relate an algorithm to a function
• Be able to pass values into a function
• Be able to get values back from a function
• Be able to write your own functions
So, “computer programming is all about writ... | 2022-06-27 21:04:04 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | 提供的文本中没有表现出任何回溯行为。文本内容主要是关于算法和编程概念的介绍，没有出现作者意识到错误或需要改变方法的表述。
## Thoughts
文本中没有出现任何回溯行为的迹象。内容主要是对算法和编程概念的解释，没有提到作者需要改变方法或意识到错误并返回重新尝试的情况。
## Does backtrack?
no
## Number of backtrack steps
<count>0</count> | assistant
## Thoughts
The provided text is a detailed explanation of algorithms and functions in the context of software technology, particularly focusing on the Processing programming environment. It describes various tasks and their components (purpose, inputs, effects, outputs) and categorizes them into different ty... | 5 | user
## Thoughts
The provided text is about algorithms and functions in the context of software technology. It does not contain any reasoning that starts from a goal and works backward. The text is more focused on defining and explaining the components of algorithms and functions, and it does not demonstrate any backwa... | 0 | 0 | 0 | null |
https://www.hackmath.net/en/math-problem/597 | # Trains
On double track line between stations K and M went against each other two trains. The first train passed the distance between stations for 3.5 hours, the second, which had an average speed of 12 km/h more passed for 3.05 hours.
Calculate the distance between stations K and M.
Result
s = 284.7 km
#### Sol... | 2020-05-27 02:12:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 1, "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... | userToSelector5 | assistant
## Thoughts
The provided text is a math problem and its solution. The solution calculates the distance between two stations based on the speeds and times of two trains. However, there is no explicit step in the text where the writer checks or verifies the result of their calculation.
## Does verification?
no... | assistant
## Thoughts
The provided text is a math problem and its solution. The solution does not break down the problem into smaller, intermediate goals. Instead, it directly provides the equations and the final result without any explicit subgoal setting.
## Does subgoal setting?
no
## Number of subgoal setting ste... | assistant ## Thoughts
The provided text is a math problem and its solution. The solution does not start from the goal and work backward. Instead, it directly calculates the speeds of the trains and then uses one of the speeds to find the distance between the stations. There is no backward-chaining behavior evident in t... | null | 0 | 0 | 0 |
https://math.stackexchange.com/questions/1975434/conjugate-subgroups-of-finite-simple-groups | # Conjugate subgroups of finite simple groups
I would like to know whether this is known or not. We start with some setting: let $G$ be a non-abelian finite simple group of order $N$. Let us denote
$$G=\{1=g_1,g_2,\ldots,g_N\}.$$
For any non-trivial proper subgroup $H$ of $G$, we define
$$H_i:=g_iHg_i^{-1}$$
(obvi... | 2019-06-27 00:53:11 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant ## Thoughts
The text provided does not contain any explicit instances of backtracking. The writer does not mention any mistakes, contradictions, or the need to try a different approach. The text is a discussion about a mathematical problem and its potential solution, without any indication of the writer reali... | assistant ## Thoughts
The text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or rechecking calculations. The text is more focused on posing questions and providing examples or references to verify a property, rather than explicitly verifying... | assistant ## Thoughts
The text does not contain any explicit subgoal setting. The writer poses questions and provides some examples and explanations but does not break down the problem into smaller, intermediate goals.
## Does subgoal setting?
no
## Number of subgoal setting steps
<count>0</count> | assistant ## Thoughts
The text provided does not contain any instances of backward-chaining behavior. The text is a discussion about the existence of certain subgroups within finite simple groups and does not start from a goal and work backward to prove or solve something.
## Does the text exhibit backward chaining?
n... | 0 | 0 | 0 | 0 |
https://restorationbookstore.org/collections/scriptures-sold-individually/products/90129007 | # Doctrine and Covenants: Deluxe Leather
• \$35.00
Unit price per
Name Imprinting Note: Imprinting can only be added to one book. If you want imprinting on two or more of the same book, you will have to order each one separately with imprinting chosen for each.
This edition comes with a soft-leather cover. The pages... | 2020-10-24 15:11:01 | {"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... | user | user提供的文本内容与数学或任何需要验证步骤的领域无关，它描述的是《教义和圣约》豪华皮革版的细节信息，包括价格、封面材质、页面特点以及内容组成等。因此，这段文本中没有包含任何验证步骤。
## Thoughts
文本内容是关于一本书的描述，没有涉及任何数学计算或需要验证结果的步骤。
## Does verification?
no
## Number of answer verification steps
<count>0</count> | user5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | user
## Thoughts
The provided text is a product description for a religious book. It does not contain any reasoning or problem-solving process that starts from a goal and works backward. The text is purely descriptive and informational.
## Does the text exhibit backward chaining?
no
## Number of backward chaining ins... | null | 0 | 0 | null |
http://www.math.lsa.umich.edu/seminars_events/events.php?eventdefid=102&dt_begin=2020-07-01&dt_end=2021-06-30 | # Seminar Event
Results for RTG Seminar on Number Theory events from 2020-07-01 to 2021-06-30
Future or past events may be found by using the Search tab above.
Seminar List
Date Speaker Seminar Title Monday, September 21, 2020 Start: 3:00 PM Location: 4088 East Hall * Jacob HaleyUM RTG Seminar on Number Theory Para... | 2021-04-10 14:00:29 | {"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... | assistant ## Thoughts
The provided text is a list of seminar events with dates, speakers, and titles. There is no indication of any backtracking behavior in this text, as it simply lists information without any narrative or computational process that could involve backtracking.
## Does backtrack?
no
## Number of back... | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | 0 | null | null | null |
http://cms.math.ca/cmb/msc/17A70?fromjnl=cmb&jnl=CMB | Canadian Mathematical Society www.cms.math.ca
location: Publications → journals
Search results
Search: MSC category 17A70 ( Superalgebras )
Expand all Collapse all Results 1 - 1 of 1
1. CMB 2002 (vol 45 pp. 509)
Benkart, Georgia; Elduque, Alberto
Lie Superalgebras Graded by the Root Systems $C(n)$, $D(m,... | 2014-08-31 06:19:26 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant ## Thoughts
The provided text is a search result from the Canadian Mathematical Society's publications, specifically from their journals. It lists a single result related to Lie superalgebras graded by certain root systems. The text does not contain any indication of the writer realizing a mistake or needing ... | assistant ## Thoughts
The provided text is an abstract or summary of a mathematical paper focusing on Lie superalgebras graded by specific root systems. The text does not contain any explicit steps where the authors check their work or verify their results. It is purely descriptive of the content of the paper without a... | assistant ## Thoughts
The text provided is an abstract or summary of a mathematical paper focusing on Lie superalgebras graded by specific root systems. It does not break down the problem into smaller, intermediate goals or steps. The text is more descriptive of the content of the paper rather than a step-by-step appro... | assistant ## Thoughts
The provided text is a search result from the Canadian Mathematical Society's publications, specifically about Lie superalgebras graded by certain root systems. The content is descriptive and informative, listing the types of Lie superalgebras and their grading by specific root systems. There is n... | 0 | 0 | 0 | 0 |
https://www.physicsforums.com/threads/show-extremum-of-the-entropy-is-a-maximum.712206/ | # Homework Help: Show extremum of the Entropy is a maximum
1. Sep 23, 2013
### dipole
1. The problem statement, all variables and given/known data
The Entropy of a probability distribution is given by,
$S = -k_B \sum _{i=1}^N p(i)\ln{p(i)}$
I've shown that the extremum of such a function is given by,
$S' = k_B \... | 2018-07-21 04:43:16 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user
## Thoughts
The text provided is a discussion between multiple users about a homework problem related to entropy in probability distributions. There is no explicit indication of any user realizing a path won't work and going back to try a different approach. The discussion progresses with suggestions and insights ... | user
## Thoughts
The text provided is a discussion about showing that the extremum of the entropy is a maximum. The participants discuss different approaches to solving the problem, such as using a Taylor series, considering the boundary conditions, and using induction. However, there are no explicit steps where the wr... | user
## Thoughts
The text does not contain any explicit subgoal setting. The discussion revolves around the problem of showing that the extremum of the entropy is a maximum, but the participants do not break down the problem into smaller, intermediate goals. They provide suggestions and insights but do not outline a st... | user
## Thoughts
The text does not contain any explicit backward-chaining behavior. The discussion revolves around the problem of showing that the extremum of the entropy is a maximum, and the participants suggest different methods to approach the problem, such as using a Taylor series, considering the boundary conditi... | 0 | 0 | 0 | 0 |
http://math.stackexchange.com/questions/65681/how-to-compute-int-01-e-x2-dx | # How to compute $\int_0^1 {e^{-x^2}} dx$
I know that $$\int_{0}^{+ \infty} e^{- x^{2}} dx = \frac{\sqrt{\pi}}{2}.$$
My question is: $$\int_{0}^{1} e^{- x^{2}} dx = ~?$$
-
I think one can only do it numerically. – Jack Sep 19 '11 at 3:36
Well, there are ways to numerically compute the error function, much as you'll ... | 2016-02-11 00:53:34 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user
## Thoughts
The text provided does not contain any explicit statements indicating that the writer has realized a path won't work and is going back to try a different approach. There are no phrases like "Let me try again," "Wait," "I made a mistake," or "we need to try a different sequence of operations." The text ... | assistant ## Thoughts
The text provided does not contain any explicit verification steps. It provides information about the integral of the function $e^{-x^2}$ from 0 to 1, discusses the error function, and provides series and continued fraction representations for the integral. However, there is no explicit step where... | assistant
## Thoughts
The text provided does not contain any explicit subgoal setting. It mainly discusses the integral of the function $e^{-x^2}$ from 0 to 1, mentioning the error function and providing series expansions and a continued fraction representation for the integral. However, it does not break down the prob... | assistant ## Thoughts
The text provided does not exhibit backward-chaining behavior. The discussion revolves around the computation of the integral of \(e^{-x^2}\) from 0 to 1, and various methods for approximating or computing this integral are discussed. These methods include the use of the error function, series exp... | 0 | 0 | 0 | 0 |
https://brilliant.org/problems/an-algebra-problem-by-patrick-bourg/ | # A mean limit?
Algebra Level 3
Let $$f : [0,2015] \rightarrow \mathbb R$$ be the function defined as $f(x) = \frac{1}{1+x} \quad \forall x \in [0,2015].$
By the mean value theorem, one can show that $$\exists c_x \in (0,1)$$ such that :
$f(x) - f(0) = xf^{'}(xc_x), \quad \forall x \in [0,2015], \quad (exercise)$
... | 2018-04-24 21:15:17 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | 提供的文本中没有显示出作者在解决问题时有任何回溯行为。作者直接陈述了问题和相关定理的应用，没有提到任何错误、矛盾或需要重新计算的情况。
## Thoughts
文本中直接陈述了问题和相关定理的应用，没有提到任何错误、矛盾或需要重新计算的情况。
## Does backtrack?
no
## Number of backtrack steps
<count>0</count> | userSupportedContent
2 | user
## Thoughts
The provided text does not contain any explicit backward-chaining behavior. It describes a problem involving the mean value theorem and asks for the limit of \(c_x\) as \(x\) approaches 0. The text does not start from a goal and work backward to reach a conclusion or verify a condition.
## Does the te... | 0 | 0 | null | null | |
http://georei.com/474/climate/modeling/2021/03/25/ice_dynamics_part1_factors.html | # Ice Dynamics, Part 1: idealized experiments
In this notebook we are going to explore the dynamics of a blob of ice under various forcing conditions and how to use the basic functionalities of OGGM flowline model(s). For this purpose we are going to use simple and “idealized” glaciers models. We will consider the slo... | 2023-02-06 05:38:38 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | 模拟冰川动力学的这段文本中，没有明确提到任何验证步骤。文本主要描述了如何使用OGGM（Open Global Glacier Model）进行冰川动力学的模拟实验，包括设置模型参数、运行模型以及分析结果。虽然文本中有一些问题（如Q1、Q2、Q3等）要求读者思考和解释模型结果，但这些并不是作者对自身工作的验证步骤。
## Does verification?
no
## Number of answer verification steps
<count>0</count> | 模拟冰川动力学的这段文本中，没有展示任何向后推理的行为。文本主要描述了如何使用OGGM模型来模拟冰川在不同条件下的动力学行为，包括设置冰川的初始状态、运行模型、以及分析结果。这些步骤都是按照从初始条件到最终结果的顺序进行的，没有从目标结果开始反向推理的过程。
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count> | null | 0 | 0 | null | ||
https://tex.stackexchange.com/questions/272499/pgfplots-legend-style-marker-size | # Pgfplots legend style marker size
I have the following plot:
\begin{tikzpicture}
\begin{axis}[
xlabel={\tiny X},
ylabel={\tiny Y},
xmin=0, xmax=5,
ymin=0, ymax=18,
minor x tick num=4,
minor y tick num=4,
ytick={0, 2, 4, 6, 8, 10, 12, 14, 16, 18},
y tick label style={
/pgf/number format/.cd,
fixed,
fixed zerofill,
... | 2019-07-22 22:23:22 | {"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... | assistant
## Thoughts
The text provided does not contain any explicit backtracking behavior. The writer is describing a problem they are facing with adjusting the marker size in a plot's legend and discussing various attempts and suggestions without indicating any backtracking or realization that a previous approach wa... | 2 | assistant ## Thoughts
The text provided is a discussion about adjusting the marker size in a legend for a plot created with `pgfplots`. There is no explicit breakdown of the problem into smaller, intermediate goals. The text is more of a problem statement and a discussion of attempted solutions rather than a structured... | assistant ## Thoughts
The text provided is a discussion about adjusting the marker size in a legend for a plot created with TikZ and pgfplots. There is no reasoning or problem-solving process that starts from a goal and works backward. The text is a request for help and a discussion on possible solutions, but it does n... | 0 | 0 | null | 0 |
https://solvedlib.com/n/2-suppose-that-mz-r-ly-zawxyz-a-r-isa-ring-uuder-multiplication,7168761 | 5 answers
# 2, Suppose that Mz(R) = {LY Zawxyz € R} isa ring uuder multiplication & addition malrix which is defined as
###### Question:
2, Suppose that Mz(R) = {LY Zawxyz € R} isa ring uuder multiplication & addition malrix which is defined as 4R R +XYz 5n+i] Y1xz GG%+" 4+1 Xt Prove the subset M d eMz(R) anda,b... | 2022-12-03 15:55:02 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | userFilterWhere in the provided text for any instances of backtracking behavior, where the writer acknowledges a mistake or realizes a previous approach won't work and decides to try a different method. The text provided does not contain any clear examples of backtracking behavior as described. There are no statements ... | userFilterWhere in the provided text for any instances where the writer explicitly checks their own work. The text given is about a mathematical or logical problem, but it does not contain any explicit steps where the writer checks their work, such as substituting values back into equations, verifying calculations, or ... | userFilterWhere did you find the subgoal setting in the provided text? Please explain your analysis. | userFilterWhere in the provided text for instances of backward-chaining behavior, where the writer starts from the goal and works backward to solve a problem or prove a point.
## Thoughts
The text provided does not contain any clear examples of backward-chaining behavior. The text appears to be a set of questions and ... | 0 | 0 | 0 | null |
https://www.physicsforums.com/threads/continuum-mechanical-analogous-of-maxwell-stress-tensor.924514/ | # Continuum mechanical analogous of Maxwell stress tensor
• I
Maxwell stress tensor ##\bar{\bar{\mathbf{T}}}## in the static case can be used to determine the total force ##\mathbf{f}## acting on a system of charges contanined in the volume bounded by ##S##
$$\int_{S} \bar{\bar{\mathbf{T}}} \cdot \mathbf n \,\,d S=\m... | 2020-10-22 11:40:50 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user
## Thoughts
The text provided is a query about the analogy between the Maxwell stress tensor in electromagnetism and a similar concept in continuum mechanics. The writer is asking for clarification and does not exhibit any backtracking behavior. There are no instances where the writer realizes a path won't work an... | user
## Thoughts
The provided text is a question about the analogy between the Maxwell stress tensor in electromagnetism and a similar concept in continuum mechanics. It does not contain any explicit steps where the writer checks their own work or verifies a result.
## Does verification?
no
## Number of answer verifi... | user
## Thoughts
The text is a question about the analogy between the Maxwell stress tensor in electromagnetism and a similar concept in continuum mechanics. It does not contain any explicit subgoal setting or breakdown of the problem into smaller, intermediate goals.
## Does subgoal setting?
no
## Number of subgoal ... | assistant ## Thoughts
The text provided is a question about the analogy between the Maxwell stress tensor in electromagnetism and a similar concept in continuum mechanics. The writer is asking for a comparison and does not exhibit any backward-chaining behavior in the reasoning provided. The text is a query rather than... | 0 | 0 | 0 | 0 |
https://carloslopezmartinez.info/tag/x-band/ | ## A Multi-Frequency SDR-Based GBSAR: System Overview and First Results
Amézaga, Adrià; López-Martínez, Carlos; Jové, Roger. 2021. “A Multi-Frequency SDR-Based GBSAR: System Overview and First Results” MDPI Remote Sens. 13, no. 9: 1613
Summary
This work describes a system-level overview of a multi-frequency GBSAR bu... | 2022-05-16 15:18:07 | {"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... | assistant## Thoughts
The provided text is a collection of summaries and descriptions of various research papers and test campaigns related to SAR (Synthetic Aperture Radar) systems. The content is informative and descriptive, detailing the systems, their capabilities, and the results of various tests. There is no indic... | userSupportedContent
提供的文本内容主要描述了几个关于雷达系统和遥感技术的研究项目和测试活动。这些文本中没有提到任何具体的验证步骤，如检查计算结果、验证公式或确认解决方案是否满足所有给定约束等。
## Thoughts
提供的文本内容主要描述了几个关于雷达系统和遥感技术的研究项目和测试活动。这些文本中没有提到任何具体的验证步骤，如检查计算结果、验证公式或确认解决方案是否满足所有给定约束等。
## Does verification?
no
## Number of answer verification steps
<count>0</count> | assistant ## Thoughts
The provided text is a collection of summaries and descriptions of various research works related to SAR (Synthetic Aperture Radar) systems and their applications. The text does not contain any explicit breakdown of problems into smaller, intermediate goals or subgoals. It mainly describes the sys... | assistant ## Thoughts
The provided text is a collection of summaries and descriptions of various research papers and test campaigns related to SAR (Synthetic Aperture Radar) systems. The content focuses on the development, testing, and application of these systems for different purposes, such as forest monitoring and S... | 0 | 0 | 0 | 0 |
http://mathhelpforum.com/pre-calculus/164558-finding-domain-range-function.html | # Math Help - Finding Domain and Range of function
1. ## Finding Domain and Range of function
5y( x- 1)( x-3 )=2(5x + 3)
its Domain and Range :
D: x ≠ 1 , 3
R: {y|y ≥ -1/5 or y ≥ - 5}
i would like to know how to reach the solution on domain and range . i'm so confused.
2. If you write it on a more familiar form: $... | 2015-07-07 19:24:18 | {"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": 0, "img_math": 0, "codecogs_latex": 3, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant```markdown
## Thoughts
The text provided does not contain any explicit instances of the writer realizing a mistake or needing to go back to try a different approach. The conversation is more about clarifying the steps to find the domain and range of a function, without any indication of backtracking.
## Does... | assistant```markdown
## Thoughts
The text provided is a conversation about finding the domain and range of a function. The participants discuss the function and its undefined points but do not explicitly check their work or verify the results through any of the methods described in the task description. There are no st... | assistant ## Thoughts
The text provided is a conversation about finding the domain and range of a function. The participants discuss the function and its undefined points but do not break down the problem into smaller, intermediate goals. There is no explicit subgoal setting in the text.
## Does subgoal setting?
no
#... | assistant ## Thoughts
The text provided is a conversation about finding the domain and range of a function. The participants discuss the function and clarify the domain, but there is no evidence of backward-chaining behavior. The discussion does not start from a goal and work backward to reach the solution for the doma... | 0 | 0 | 0 | 0 |
https://stats.stackexchange.com/questions/116389/understanding-differences-between-large-and-small-dimensional-data-when-implemen | # Understanding differences between large and small dimensional data when implementing algorithms
I'm working on a local outlier factor implementation based on the wikipedia entry : http://en.wikipedia.org/wiki/Local_outlier_factor
This article seems to explain it in just two dimensional data. But what gaurantees tha... | 2022-01-20 00:10:36 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user
## Thoughts
The text provided is a discussion about the applicability of certain algorithms (like LOF, k-means, etc.) in higher dimensions compared to two dimensions. The writer does not explicitly backtrack in their reasoning or calculations. They are asking questions and discussing the applicability of algorithm... | assistant ## Thoughts
The text discusses the applicability of algorithms like LOF, k-means, and k-NN to higher dimensional data. It does not contain any explicit steps where the writer checks their own work or verifies the correctness of a result or calculation. The discussion is more theoretical and does not include a... | assistant ## Thoughts
The text does not contain any explicit subgoal setting. The writer is asking questions and discussing the applicability of algorithms in higher dimensions, but does not break down the problem into smaller, intermediate goals.
## Does subgoal setting?
no
## Number of subgoal setting steps
<count>... | user
## Thoughts
The text does not contain any backward-chaining behavior. The discussion revolves around the applicability of algorithms like LOF, k-means, and others in higher dimensions, and the challenges associated with visualizing and working with high-dimensional data. There is no instance where the writer start... | 0 | 0 | 0 | 0 |
https://www.semanticscholar.org/paper/Phase-matching-in-%CE%B2-barium-borate-crystals-for-Karan-Aarav/569a5eadb624915277738f0baa01656a1cfd4c8c | # Phase matching in β-barium borate crystals for spontaneous parametric down-conversion
@article{Karan2018PhaseMI,
title={Phase matching in $\beta$-barium borate crystals for spontaneous parametric down-conversion},
author={Suman Karan and Shaurya Aarav and Homanga Bharadhwaj and Lavanya Taneja and Arinjoy De and Giri... | 2023-01-28 01:25:00 | {"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... | assistant ## Thoughts
The provided text is a citation for a scientific article and a brief abstract, followed by a list of related works. There is no indication of any backtracking behavior in the text. The content does not show any instances where the writer realizes a path won't work and explicitly goes back to try a... | assistant ## Thoughts
The provided text is a citation for a scientific article and a brief abstract, followed by a list of related works. There are no explicit steps mentioned where the authors check their work or verify their results. The text is descriptive and does not include any verification steps.
## Does verifi... | assistant ## Thoughts
The provided text is a citation for a scientific article and a brief abstract, followed by a list of related works. It does not contain any explicit breakdown of a problem into smaller, intermediate goals. The text is descriptive and does not guide through a process or problem-solving approach tha... | user
## Thoughts
The provided text is a citation and abstract for a scientific paper on phase matching in β-barium borate crystals for spontaneous parametric down-conversion. The text does not contain any reasoning or problem-solving process that starts from a goal and works backward. It is purely descriptive and infor... | 0 | 0 | 0 | 0 |
https://space.stackexchange.com/questions/52512/how-much-uv-radiation-will-mars-inhabitants-receive/52517#52517 | I have a new weather station for my home, and it included a UV radiation monitor. But I then thought, “What’s the UV radiation levels on Mars? How much higher is it than Earth?” I tried searching the website, but to no avail.
7 for the radiation monitor is pretty high. So maybe I’m predicting around 25-30 UV radiation... | 2021-09-26 15:02:41 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user
## Thoughts
The text provided does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. There are no phrases like "Let me try again", "Wait", "I made a mistake", or "we need to try a different sequence of operations". The text is more of a disc... | user
## Thoughts
The text provided discusses the UV radiation levels on Mars and compares them to those on Earth. It explains the differences in UV radiation due to the atmosphere and distance from the Sun. However, the text does not contain any explicit steps where the writer checks their own work or verifies their ca... | assistant ## Thoughts
The text does not contain any explicit subgoal setting. It discusses the UV radiation levels on Mars and Earth, the composition of UV radiation, and the protective measures needed for humans on Mars. However, it does not break down the problem into smaller, intermediate goals.
## Does subgoal set... | assistant ## Thoughts
The text provided does not contain any instances of backward-chaining behavior. The text is primarily descriptive and informative, discussing the differences in UV radiation levels between Earth and Mars, and the implications for human protection. It does not start from a goal and work backward to... | 0 | 0 | 0 | 0 |
https://proxieslive.com/how-large-can-a-symmetric-generating-set-of-a-finite-group-be/ | # How large can a symmetric generating set of a finite group be?
Let $$G$$ be a finite group of order $$n$$ and let $$\Delta$$ be its generating set. I’ll say that $$\Delta$$ generates $$G$$ symmetrically if for every permutation $$\pi$$ of $$\Delta$$ there exists $$f:G\rightarrow G$$ an automorphism of $$G$$ such tha... | 2019-05-24 22:16:16 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | 33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333... | 提供的文本中没有包含任何验证步骤。问题探讨了有限群的对称生成集的最大规模，但没有展示任何具体的验证过程或步骤来检查结果的正确性。
## Thoughts
提供的文本是一个关于有限群的对称生成集大小的问题描述，没有包含任何具体的验证步骤来检查结果的正确性。
## Does verification?
no
## Number of answer verification steps
<count>0</count> | userassistant
## Thoughts
The text is a question about the size of a symmetric generating set of a finite group. It does not break down the problem into smaller, intermediate goals or steps. The text is more of a query or a statement of a problem without any explicit subgoal setting.
## Does subgoal setting?
no
## Nu... | user
## Thoughts
The provided text is a question about the size of a symmetric generating set of a finite group. It does not contain any backward-chaining behavior. The text is asking a question and providing a definition, but it does not start from a goal and work backward to achieve it.
## Does the text exhibit back... | null | 0 | 0 | 0 |
https://www.maa.org/press/maa-reviews/mathematics-for-the-liberal-arts | Mathematics for the Liberal Arts
Jason I. Brown
Publisher:
Chapman & Hall/CRC
Publication Date:
2015
Number of Pages:
440
Format:
Hardcover
Price:
89.95
ISBN:
9781466593367
Category:
Textbook
[Reviewed by
Richard J. Wilders
, on
02/19/2015
]
This is a textbook designed for use in a general education mathematics cours... | 2020-07-14 01:42:36 | {"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... | ## Thoughts
The provided text is a book review for "Mathematics for the Liberal Arts" by Jason I. Brown. The review does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. The text is a straightforward review of the book's content and does not exh... | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | textContent
2 | assistant ## Thoughts
The provided text is a review of a mathematics textbook for liberal arts students. The review does not contain any reasoning or problem-solving that would indicate backward-chaining behavior. The text is descriptive and evaluative, focusing on the content and structure of the book rather than solv... | 0 | 0 | null | null |
https://www.physicsforums.com/threads/deflection-of-box-section-result-discrepancies.307994/ | # Deflection of box section - result Discrepancies
1. Apr 17, 2009
### Mech King
Hello everyone,
I have a beam deflection problem. I haven’t looked at deflections for a while now and I cant understand why my solution is a million miles out fro the results I have seen through testing.
Problem:
I have a beam made f... | 2016-08-26 06:59:18 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user
## Thoughts
The text does not contain any explicit instances where the writer realizes a path won't work and goes back to try a different approach. The writer mentions being rusty with the methods and planning to give it a shot, but there is no indication of backtracking in the provided text.
## Does backtrack?
n... | assistant ## Thoughts
The text provided is a discussion between two individuals regarding a beam deflection problem. The original poster, Mech King, presents a calculation for the deflection of a beam under a specific load and compares the calculated result with a tested result, noting a significant discrepancy. Howeve... | assistant ## Thoughts
The text provided is a discussion about a beam deflection problem. The writer presents a problem and a solution attempt but does not break down the problem into smaller, intermediate goals. The response from another user suggests a different approach but does not explicitly set out subgoals either... | assistant ## Thoughts
The text provided is a discussion about a beam deflection problem. The participants are discussing the discrepancy between calculated and tested deflections. There is no evidence of backward-chaining behavior in the text. The discussion revolves around the correct application of formulas and metho... | 0 | 0 | 0 | 0 |
http://www.computer.org/csdl/trans/tc/1974/01/01672365-abs.html | Subscribe
Issue No.01 - January (1974 vol.23)
pp: 9-20
E. Kinoshita , Department of Electronics, University of Osaka Prefecture
ABSTRACT
The residue number system is an integer number system and is inconvenient to represent numbers with fractional parts. In the symmetric residue system, a new representation of floating... | 2016-02-06 14:01:56 | {"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... | user3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333... | assistant```markdown
## Thoughts
The provided text is an abstract and citation for a research paper. It describes the proposal of a new representation of floating-point numbers and arithmetic algorithms in the symmetric residue number system. There are no explicit steps mentioned where the authors check their work or v... | assistant```markdown
## Thoughts
The provided text is an abstract and citation for a research paper. It describes the introduction of a new representation of floating-point numbers and arithmetic algorithms in the symmetric residue number system. However, the text does not break down the problem into smaller, intermedi... | assistant ## Thoughts
The provided text is an abstract and citation for a research paper on floating-point arithmetic algorithms in the symmetric residue number system. It does not contain any reasoning or problem-solving process that starts from a goal and works backward. The text is descriptive and informative about ... | null | 0 | 0 | 0 |
http://www.encyclopediaofmath.org/index.php/Eigen_vector | # Eigen vector
of an operator acting on a vector space over a field
A non-zero vector which is mapped by to a vector proportional to it, that is
The coefficient is called an eigen value of .
If is a linear operator, then the set of all eigen vectors corresponding to an eigen value , together with the zero vector, f... | 2013-05-25 15:54:59 | {"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... | user5 | assistant ## Thoughts
The provided text is a mathematical exposition on eigen vectors and related concepts. It does not contain any explicit steps where the author checks their work or verifies any calculations or results. The text is purely descriptive and does not include any verification steps.
## Does verification... | assistant ## Thoughts
The provided text is an encyclopedia entry about eigen vectors and does not contain any explicit subgoal setting. It provides definitions, properties, and references related to eigen vectors but does not break down a problem or task into smaller, intermediate goals.
## Does subgoal setting?
no
#... | user
## Thoughts
The provided text is a definition and explanation of eigen vectors and related concepts in functional analysis. It does not contain any reasoning that starts from a goal and works backward to achieve it. The text is descriptive and does not engage in problem-solving or proof construction that would in... | null | 0 | 0 | 0 |
https://tophat.com/marketplace/social-science/psychology/full-course/a-critical-introduction-to-human-sexuality-matthew-numer-nicole-mcnichols/2627/93486/ | A Critical Introduction to Human Sexuality
Lead Author(s): Nicole McNichols, Matt Numer
A modern, comprehensive and research-based exploration of human sexuality that incorporates real life perspectives on contemporary issues.
What is a Top Hat Textbook?
Top Hat has reimagined the textbook – one that is designed to... | 2021-04-12 16:15:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 1, "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... | user
## Thoughts
The provided text is an excerpt from a textbook on human sexuality. It does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. There are no phrases like "Let me try again", "Wait", "I made a mistake", or "we need to try a differen... | user
## Thoughts
The provided text is an excerpt from a textbook on human sexuality. It does not contain any explicit subgoal setting where the writer breaks down a problem into smaller, intermediate goals. The text is more descriptive and informative, detailing theories and perspectives on human sexuality rather than ... | 0 | null | null | 0 | ||
https://socratic.org/questions/what-is-the-moment-of-inertia-of-a-pendulum-with-a-mass-of-4-kg-that-is-4-m-from | # What is the moment of inertia of a pendulum with a mass of 4 kg that is 4 m from the pivot?
Apr 28, 2016
$64 \text{ } k g . {m}^{2}$
#### Explanation:
considering the bob is small enough,
moment of Inertia, $I = m {r}^{2} = 4 \times {4}^{2} \text{ "kg.m^2=64 " } k g . {m}^{2}$ | 2020-09-28 19:03:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 2, "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... | user5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | user расчета момента инерции маятника не содержится проверки или подтверждения правильности полученного результата. Рассмотрим это более подробно.
## Thoughts
Текст содержит только вычисление момента инерции маятника с использованием формулы $I = m {r}^{2}$, где $m$ - масса, а $r$ - расстояние от оси вращения. После в... | user5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | assistant ## Thoughts
The explanation provided for calculating the moment of inertia of a pendulum does not exhibit backward-chaining behavior. The calculation starts with the formula for the moment of inertia and directly applies the given values to find the result. There is no indication of starting from a goal and w... | null | 0 | 0 | null |
http://archives.gentoo.org/gentoo-pms/msg_97218d6ae7bb6c021992b9c1e0c8711c.xml | Note: Due to technical difficulties, the Archives are currently not up to date. GMANE provides an alternative service for most mailing lists.
c.f. bug 424647
List Archive: gentoo-pms
Navigation:
Lists: gentoo-pms: < Prev By Thread Next > < Prev By Date Next >
Headers:
To: "Andreas K. Huettel" From: Ciaran McCreesh Sub... | 2013-05-23 22:56:48 | {"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... | assistant ## Thoughts
The text provided is an email exchange discussing the authorship of a document. There is no indication of any backtracking behavior where the writer realizes a path won't work and explicitly goes back to try a different approach. The conversation flows naturally without any corrections or retracin... | assistant ## Thoughts
The provided text is a part of a mailing list discussion regarding the authorship of a document. There are no explicit steps taken to verify any calculations, results, or answers within the text. The conversation revolves around the methodology of attributing authorship based on contributions to a... | assistant ## Thoughts
The text provided is an email exchange discussing the authorship of a document. There is no indication of any subgoal setting or breakdown of a problem into smaller, intermediate goals. The conversation is focused on the methodology for determining authorship and the appropriateness of certain sta... | assistant ## Thoughts
The provided text is a discussion about the authorship of a document within a mailing list context. There is no indication of any backward-chaining behavior in the text. The conversation revolves around the methodology of determining authorship and the appropriateness of using certain statistical ... | 0 | 0 | 0 | 0 |
https://www.computer.org/csdl/mags/so/1995/02/s2103.html | The Community for Technology Leaders
# IN THE NEWS
Pages: pp. 103-109
## TALIGENT READIES A NEW DEVELOPMENT PARADIGM
RichSantalesa
What's half pink, a bit blue, and runs on everything? The new operatingsystem and development environments from Taligent, the joint venture of Apple,IBM, and HewlettPackard.
Although... | 2017-08-22 03:50:00 | {"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... | 提供的文本中没有表现出任何回溯行为。文本主要是关于技术领导社区的新闻报道，具体讨论了Taligent公司的发展历程、产品线以及Ada 95编程语言的标准化。这些内容没有显示出作者在写作过程中意识到某个路径行不通并尝试另一种方法的情况。
## Thoughts
文本中没有出现任何表明作者意识到错误或需要改变方法的表述，如“让我再试一次”、“我犯了一个错误”或“我们需要尝试不同的操作顺序”等。因此，没有发现回溯行为。
## Does backtrack?
no
## Number of backtrack steps
<count>0</count> | SupportedContent | SupportedContent
SupportedContent
SupportedContent
2 | 0 | null | null | null | |
http://chemistry.stackexchange.com/unanswered | 1k views
### Is there a general consensus on the causes of the alpha-effect?
There have been various explanations posited for the $\alpha$-effect. The $\alpha$-effect refers to a phenomenon wherein nucleophiles with lone pairs on atoms adjacent (i.e., in the $\alpha$- ...
523 views
### Deliquescence/efflorescence: H... | 2015-10-07 15:43:23 | {"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... | user
## Thoughts
The provided text is a collection of various questions and discussions related to chemistry and chemical phenomena. There is no indication of the writer realizing a path won't work and explicitly going back to try a different approach. The text does not contain any explicit statements of backtracking s... | user
## Thoughts
The provided text is a collection of various chemistry-related questions and discussions without any explicit verification steps. None of the entries include a process where the writer checks their work, compares results to known values, or tests formulas with simple cases.
## Does verification?
no
... | user
## Thoughts
The provided text is a collection of various questions and discussions from a chemistry forum. None of the entries explicitly break down a problem into smaller, intermediate goals or subgoals. They are more focused on asking questions or discussing specific phenomena and solutions without detailing a s... | user
## Thoughts
The provided text is a collection of various questions and discussions related to chemistry, ranging from molecular imaging to the stability order of carbocations and the color of solid methane. None of the provided snippets demonstrate a backward-chaining approach. They are either asking questions, pr... | 0 | 0 | 0 | 0 |
https://mixomics.org/2018/06/software-requirements-for-2020-mixomics-workshop/ | # Software requirements for 2020 mixOmics workshops
We list below some installation requirements to ensure the mixOmics workshop will run smoothly for everyone. Please update / install prior to the workshop to avoid a WIFI backload.
0 – Mac OS users only: install X Quartz first https://www.xquartz.org/
1 – Install t... | 2022-09-25 05:48:31 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant
## Thoughts
The text provided is a set of instructions for software installation and does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. There are no phrases like "Let me try again", "Wait", "I made a mistake", or "we need to try a d... | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | assistant
## Thoughts
The text provided is a set of instructions for software installation and setup for a mixOmics workshop. It does not contain any reasoning or problem-solving process that starts from a goal and works backward. The text is purely instructional and does not exhibit backward-chaining behavior.
## Doe... | 0 | 0 | null | null |
http://support.sas.com/documentation/cdl/en/statug/68162/HTML/default/statug_power_syntax74.htm | # The POWER Procedure
### TWOSAMPLEFREQ Statement
Subsections:
• TWOSAMPLEFREQ <options>;
The TWOSAMPLEFREQ statement performs power and sample size analyses for tests of two independent proportions. The Farrington-Manning score, Pearson’s chi-square, Fisher’s exact, and likelihood ratio chi-square tests are suppor... | 2018-01-19 06:14:38 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant ## Thoughts
The provided text is a detailed documentation of the TWOSAMPLEFREQ statement in the POWER procedure, which is used for power and sample size analyses for tests of two independent proportions. The text does not contain any instances where the writer realizes a path won't work and explicitly goes ba... | user
## Thoughts
The provided text is a detailed documentation of the TWOSAMPLEFREQ statement in the POWER procedure, which is used for power and sample size analyses for tests of two independent proportions. The text describes various options and parameters that can be used with the TWOSAMPLEFREQ statement, but it doe... | assistant ## Thoughts
The provided text is a detailed documentation of the TWOSAMPLEFREQ statement in the POWER procedure, which is used for power and sample size analyses for tests of two independent proportions. The text does not contain any explicit subgoal setting where the writer breaks down the problem into small... | assistant ## Thoughts
The provided text is a detailed documentation of the TWOSAMPLEFREQ statement in the POWER procedure, which is used for power and sample size analyses for tests of two independent proportions. The text does not contain any reasoning that starts from a goal and works backward. Instead, it provides a... | 0 | 0 | 0 | 0 |
https://eskesthai.net/2009/12/18/what-the-i-represents-is-natural/ | ## What the "i" represents, is Natural?
A Conformal Diagram of a Minkowski Spacetime
John D. Norton
First, here is the conformal diagram of a Minkowski spacetime. This is the complete spacetime. It includes all of the infinity of space and the infinity of time through which things persist.
This diagram gives the sim... | 2021-04-18 15:45:43 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant```markdown
## Thoughts
The provided text does not contain any explicit instances of backtracking behavior. The text is a collection of excerpts from different sources, discussing various topics in physics and mathematics without any indication of the writer realizing a mistake or needing to go back to a previ... | user22222�22222222 | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | SupportedContent
22 | 0 | null | null | null |
https://oilandgasguru.com/joule-thomson-coefficient-ideal-gas | # Joule thomson coefficient ideal gas?
9
Date created: Mon, Jun 28, 2021 1:39 AM
Date updated: Sun, May 22, 2022 2:35 AM
Content
Video answer: Joule-thomson coefficient | for ideal and wander val gas | iit jam physics
## Top best answers to the question «Joule thomson coefficient ideal gas»
The Joule–Thomson coeff... | 2022-05-22 03:46:23 | {"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... | user
## Thoughts
The provided text does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. There are no phrases like "Let me try again", "Wait", "I made a mistake", or "we need to try a different sequence of operations". The text is a collection o... | user
assistant
## Thoughts
The provided text discusses the Joule-Thomson coefficient for ideal and real gases. It explains that the Joule-Thomson coefficient for an ideal gas is zero, and it provides some context about the Joule-Thomson effect and its application to real gases. However, the text does not contain any e... | user
assistant
## Thoughts
The provided text does not contain any explicit subgoal setting. It is a collection of information and FAQs about the Joule-Thomson coefficient for ideal gases, but it does not break down the problem into smaller, intermediate goals.
## Does subgoal setting?
no
## Number of subgoal setting... | user
## Thoughts
The provided text is about the Joule-Thomson coefficient for an ideal gas and real gases. It explains that the Joule-Thomson coefficient for an ideal gas is zero, and for real gases, it is different from zero and depends on pressure and temperature. The text does not exhibit any backward-chaining behav... | 0 | 0 | 0 | 0 |
https://leanprover-community.github.io/archive/stream/113489-new-members/topic/Functional.20extensionality.html | ## Stream: new members
### Topic: Functional extensionality
#### Ken Roe (Jul 24 2018 at 21:53):
Is there a functionality extensionality theorem like the one shown below in one of the libraries:
theorem fun_ext {t} {u} :
∀ (a:t→u) (b:t→u), a=b → (λ (x:t), a)=(λ (x:t), b) := sorry.
#### Chris Hughes (Jul 24 2018 a... | 2021-05-08 20:00:32 | {"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... | assistant```markdown
## Thoughts
The text provided is a conversation between members discussing a theorem in a functional programming context. There is no indication of any backtracking behavior where the writer realizes a path won't work and explicitly goes back to try a different approach. The conversation is straigh... | 2 | +:+2023-04-01 00:00:00Z | assistant ## Thoughts
The text provided is a conversation about functional extensionality in a programming or mathematical context. The participants are discussing theorems and proofs, but the conversation does not exhibit any backward-chaining behavior. The discussion revolves around the availability of a specific the... | 0 | 0 | null | null |
https://www.physicsforums.com/threads/continuous-functions-are-borel.607535/ | # Homework Help: Continuous functions are borel
1. May 20, 2012
### stukbv
1. The problem statement, all variables and given/known data
Take f: (a,b) --> R , continuous for all x0in (a,b)
and take (Ω = (a,b) , F = ( (a,b) $\bigcap$ B(R)) where B(R) is the borel sigma algebra
Then prove f is a borel function
3. The ... | 2018-07-16 03:41:06 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user
## Thoughts
The text provided is a discussion between a student and a tutor regarding a proof about continuous functions being Borel functions. The student presents their understanding of continuity and their goal to prove that the set {x in (a,b) s.t f(x) < c } is in F, but they express being stuck. The tutor the... | assistant```markdown
## Thoughts
The text provided is a discussion about proving that a continuous function is a Borel function. The original poster (stukbv) outlines the problem and their attempt at a solution but does not include any explicit verification steps. The response from micromass provides a hint about the p... | assistant```markdown
## Thoughts
The text provided is a discussion between two individuals regarding a proof about continuous functions being Borel functions. The original poster (stukbv) outlines the problem and what they know about continuity but does not break down the problem into smaller, intermediate goals. The r... | assistant ## Thoughts
The text provided is a discussion about proving that a continuous function is a Borel function. The original poster (stukbv) is asking for help in proving this statement and mentions the definition of continuity and the goal of showing that the set {x in (a,b) s.t f(x) < c} is in F. However, there... | 0 | 0 | 0 | 0 |
https://plainmath.net/5298/statistical-abstract-united-states-reported-percentage-suppose-designe | # The 2003 Statistical Abstract of the United States reported the percentage of people 18 years of age and older who smoke. Suppose that a study designe
The 2003 Statistical Abstract of the United States reported the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new... | 2022-06-25 14:11:18 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 9, "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... | user | user5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | user
## Thoughts
The text provides a step-by-step solution to a statistical problem, breaking it down into parts a, b, and c. Each part is addressed in a separate step (Step 1, Step 2, Step 3, Step 4). This indicates a form of subgoal setting where the problem is divided into smaller, intermediate goals to be solved se... | 52 | null | null | null | null |
http://tribology.asmedigitalcollection.asme.org/article.aspx?articleid=1878863 | 0
Research Papers: Friction & Wear
# The Biomimetic Shark Skin Optimization Design Method for Improving Lubrication Effect of Engineering Surface
[+] Author and Article Information
Yan Lu
School of Machinery and Automation,
Wuhan University of Science and Technology,
Wuhan 430070, China
Meng Hua
MBE Department,
Ci... | 2017-11-24 14:44:24 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 4, "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... | 工作中没有发现任何验证步骤。研究论文通常会描述实验结果和理论模型，但不会详细描述作者如何验证他们的工作。因此，对于这种类型的文本，验证步骤的计数为0。
## Thoughts
文本中没有提到任何验证步骤。作者没有描述他们如何检查或验证他们的结果。
## Does verification?
no
## Number of answer verification steps
<count>0</count> | 5 | 5 | null | null | 0 | null | |
http://math.stackexchange.com/tags/metric-spaces/hot | # Tag Info
5
We often find metrics on function spaces from norms, i.e., $d(f,g):=\|f-g\|$. As norms you can take for example $\|f\|_\infty :=\sup\{\,f(x)\mid x\in I\,\}$ if $I$ is a compact interval and we consider the space of continuous functions on $I$. Or $\|f\|_2:=\int |f(x)|^2\,\mathrm dx$ for square-integrabvl... | 2015-07-28 11:12:18 | {"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... | userFilterWhere did you find any backtracking behavior in the provided text? If so, please explain. | userFilterWhere are the verification steps in the provided text? Please evaluate and provide the count as specified. | userFilterWhere did you find any subgoal setting in the provided text? If so, please provide the count. If not, please state that the count is 0. | userFilterWhere did you find any instances of backward-chaining in the provided text?
## Thoughts
The provided text is a collection of mathematical statements and proofs, but none of them start from a goal and work backward to prove or derive a condition or result. Each statement or proof seems to be moving forward fr... | null | 0 | null | null |
https://gmatclub.com/forum/which-of-the-following-fractions-has-a-decimal-equivalent-th-82866.html | Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
GMAT Club
It is currently 24 Mar 2017, 22:59
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed y... | 2017-03-25 05:59:20 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user
Thank you for the explanation. I was not aware of the rule. I will keep it in mind for future problems. | user
## Thoughts
The text provided is a post from a GMAT preparation forum, discussing a math problem. The post does not contain any explicit verification steps where the writer checks their own work or compares results to known values. The text is more about sharing a problem and its context rather than demonstrating ... | user
## Thoughts
The text provided is a discussion about a GMAT question and does not contain any explicit subgoal setting. The discussion is about the properties of fractions and their decimal equivalents, but it does not break down the problem into smaller, intermediate goals.
## Does subgoal setting?
no
## Number ... | user
## Thoughts
The text provided is a discussion about a GMAT question and does not contain any backward-chaining behavior. The discussion is about identifying which fraction has a decimal equivalent that is a terminating decimal, and the explanation revolves around the prime factorization of the denominator.
## Doe... | null | null | 0 | 0 |
https://tex.stackexchange.com/questions/337831/pgfmathparse-basic-usage | # pgfmathparse basic usage
Please, what I'm doing wrong in this test:
\documentclass{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\pgfmathparse{10*2}
\node at (4,-5) {$2 \cdot 10 = \pgfmathresult$};
\end{tikzpicture}
\end{document}
It gives as output a line:
2 * 10 = -5.0
instead of:
2 * ... | 2021-10-16 03:40:04 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user
## Thoughts
The text provided does not contain any explicit instances where the writer realizes a path won't work and goes back to try a different approach. The text is a question and answer about a specific issue with LaTeX code and does not involve backtracking in the described sense.
## Does backtrack?
no
## ... | assistant
## Thoughts
The text provided is a discussion about a LaTeX code snippet and its output. The users are troubleshooting an issue with the `\pgfmathparse` command and how it affects the `\pgfmathresult`. There are no explicit steps taken to verify the correctness of a calculation or result within the text. The ... | assistant ## Thoughts
The text provided is a discussion about a LaTeX code snippet and its correction. It does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text is more about explaining a mistake and providing a solution rather than setting out a sequen... | user
## Thoughts
The text provided is a discussion about a LaTeX code issue and does not contain any backward-chaining behavior. The discussion revolves around the correct usage of the `\pgfmathparse` command and how to store the result properly to avoid overwriting. There is no instance where the writer starts from a ... | 0 | 0 | 0 | 0 |
https://www.transtutors.com/questions/in-july-1990-the-u-s-federal-regulators-ordered-u-s-banks-to-write-off-20-of-their-1-759260.htm | # In July 1990, the U.S. federal regulators ordered U.S. banks to write off 20% of their $11.1 billion 1 answer below » In July 1990, the U.S. federal regulators ordered U.S. banks to write off 20% of their$11.1 billion in loans to Brazil, and 20% of their $2.9 billion in loans to Argentina. The action significantly af... | 2020-10-28 05:05:11 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant
## Thoughts
The provided text does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. The text is a straightforward explanation and does not include any backtracking behavior such as "Let me try again", "Wait", "I made a mistake", or "we... | assistant ## Thoughts
The provided text is about the impact of loan write-offs on U.S. banks and does not contain any explicit steps where the writer checks their own work or verifies any calculations or results. The text is more descriptive and explanatory in nature, discussing the effects of the write-offs on bank ea... | assistant ## Thoughts
The provided text does not contain any explicit subgoal setting. It is a description of an event where U.S. federal regulators ordered U.S. banks to write off a portion of their loans to Brazil and Argentina. The text also includes a question and answer section that discusses the impact of these w... | assistant ## Thoughts
The provided text is about the impact of loan write-offs on bank earnings and does not contain any backward-chaining behavior. The text is more descriptive and explanatory in nature, discussing the effects of a regulatory action on banks' financials, rather than working backward from a goal to a s... | 0 | 0 | 0 | 0 |
https://www.techwhiff.com/learn/sorry-i-dont-know-why-it-cropped-like-that-but/339137 | # Sorry I don't know why it cropped like that but this is all the important information...
###### Question:
Sorry I don't know why it cropped like that but this is all the important information
##### Suppose you are the president of the student government. You wish to conduct a survey to...
Suppose you are the presi... | 2022-08-13 22:08:06 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user | userToSelector
## Thoughts
The provided text does not contain any explicit verification steps. It consists of several unrelated questions or problem statements from different subjects, such as mathematics, physics, and possibly engineering. None of these statements or questions include a step where the writer checks th... | userToSelector
## Thoughts
The provided text is a collection of different questions or problems from various subjects, including mathematics, physics, and possibly engineering. However, none of the provided snippets contain explicit subgoal setting where the writer breaks down the problem into smaller, intermediate goa... | userFilterWhere is the text that needs to be evaluated for backward-chaining behavior. The provided text does not contain any reasoning or problem-solving process that starts from a goal and works backward. It consists of a series of questions and problems without any explicit backward-chaining approach.
## Does the t... | null | 0 | 0 | 0 |
https://tympanus.net/codrops-playground/SaraSoueidan/5B4Dd4FY/embed/result,html,css/ | ``````<div class="container">
<h2>Alignment is normal, text breaks like it normally would</h2>
<div class="text">
<p>
The following text will not only break where there is a white space, but it will also break in the middle of any word that does not fit inside the line which needs to break to fits its container.
</p>
<... | 2023-01-27 23:38:58 | {"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... | assistant```markdown
## Thoughts
The provided text does not contain any instances of backtracking. The text describes different text alignment behaviors and provides CSS styling for these behaviors. There are no indications of the writer realizing a mistake, needing to try a different approach, or going back to a previ... | userHeaderCode
55 | user5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | user | 0 | null | null | null |
https://csedoubts.gateoverflow.in/tag/made-easy-workbook | traceroot is a program in a server side program b. clint side program c . boath a and b none of the above
Consider the grammar 1. S-> X1 2. X-> A1B 3. X-> 2 4. A-> 2 5. B-> A How the above grammar is not LR(1)?
(G,*) is an abelian group .Then, (i). $X$ =$X^{-1}$ for any X belonging to G. (ii). $X$=$X^{2}$ for any X bel... | 2021-08-03 05:18:59 | {"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... | 5 | 2 | 5 | 5 | null | null | null | null |
https://tug.org/pipermail/pdftex/2005-September/006020.html | # [pdftex] pdflatex and algorithms package
Roberto Posenato roberto.posenato at univr.it
Sat Sep 10 10:02:28 CEST 2005
Hi everyone,
I would like to know if anyone has already seen the following algorithms
package
compilation problem with pdflatex.
*CURRENT CONFIGURATION*
--------------------------------
I'm writing... | 2023-03-28 14:22:43 | {"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... | 5 | 5 | avadoc
2 | SupportedContent
5 | null | null | null | null |
http://spring18.cds101.com/materials/advanced-pmf-visualization/ | # An advanced example of a PMF visualization
library(tidyverse)
county_complete <- read_rds(
path = url("http://spring18.cds101.com/files/datasets/county_complete.rds"))
nebraska_iowa <- county_complete %>%
filter(state == "Iowa" | state == "Nebraska")
The following example assumes you have already read the standard ... | 2021-06-21 06:06:38 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant```markdown
## Thoughts
The provided text is a detailed explanation of how to visualize and compare Probability Mass Functions (PMFs) for work travel times in Nebraska and Iowa. The text describes the process of creating a histogram, extracting data from the plot, and calculating the difference in PMFs between... | HeaderCode
HeaderCode
user
## Thoughts
The text describes a process for creating a visualization that highlights differences in work travel times between Nebraska and Iowa. The writer breaks down the process into several steps, including creating a histogram, extracting data from the histogram, selecting and renaming c... | user"text
5 | null | null | 0 | null | |
http://math.stackexchange.com/questions/106607/question-about-products-of-group-elements-using-gap | # Question about products of group elements using GAP
Background: In GAP I created the DihedralGroup of an octagon as a quotient of the freegroup on 2 variables and the presentation $r^8=s^2=s*r*(r^7*s)^{-1}=e \$ as follows:
gap> f:=FreeGroup(2);
<free group on the generators [ f1, f2 ]>
gap> r:=f.1;
f1
gap> s:=f.2;... | 2015-05-28 03:08:54 | {"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... | assistant
## Thoughts
The text provided does not contain any explicit instances where the writer realizes a path won't work and goes back to try a different approach. The text is a question and answer about using GAP to work with group elements, and it does not show any backtracking behavior as defined.
## Does backtr... | assistant
## Thoughts
The text provided is a discussion about using GAP to work with group elements, specifically the DihedralGroup of an octagon. The text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by testing formulas with simple case... | assistant
## Thoughts
The text does not contain any explicit subgoal setting. The text is a discussion about how to properly evaluate group elements in GAP, a system for computational discrete algebra. It does not break down the problem into smaller, intermediate goals in the way described in the task description.
## ... | assistant ## Thoughts
The text provided is a discussion about using the GAP system to work with group presentations and does not contain any instances of backward-chaining reasoning. The discussion revolves around the proper use of GAP commands to evaluate group elements and does not start from a goal and work backward... | 0 | 0 | 0 | 0 |
https://merenlab.org/2018/07/09/anvio-snakemake-workflows/ | Microbial 'omics
Brought to you by
# Anvi'o snakemake workflows
### and A. Murat Eren (Meren)
The contents of this post will only work with anvi’o v5 and snakemake v4 or later.
If you find a mistake on this page or would you like to update something in it, please feel free to edit its source by clicking the edit b... | 2021-01-25 22:47:44 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | assistant ## Thoughts
The text provided is a general introduction to anvi'o snakemake workflows and does not contain any explicit verification steps where the writer checks their own work or the results of a calculation.
## Does verification?
no
## Number of answer verification steps
<count>0</count> | assistant
## Thoughts
The text provided is an introduction to anvi'o snakemake workflows and does not contain any explicit subgoal setting. It describes the purpose and benefits of using snakemake with anvi'o workflows but does not break down any specific problem or task into smaller, intermediate goals.
## Does subgo... | assistant ## Thoughts
The provided text is about anvi'o snakemake workflows and does not contain any backward-chaining behavior. It describes the purpose and use of anvi'o workflows with snakemake, but does not start from a goal and work backward to achieve it.
## Does the text exhibit backward chaining?
no
## Number... | null | 0 | 0 | 0 |
https://wiki.iota.org/IOTA-2.0-Research-Specifications/4.6CongestionControl/ | # 4.6 Congestion Control
This specification provides a solution to deal with network congestion in the IOTA network. The congestion control algorithm described in this file decides which messages should be processed and gossiped to node's neighbors and in what order to do so.
## 4.6.1 Introduction
Every network has... | 2023-02-07 07:49:33 | {"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... | SupportedContent ends here. | textContent
2 | 提供的文本是关于IOTA网络中的拥塞控制算法的描述。文本中没有展示任何从目标开始反向工作的逻辑，即没有展示任何反向链接的行为。文本主要描述了算法的设计、目标和实现细节，但没有提到从目标结果开始反向推导的过程。
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count> | null | 0 | null | null | |
https://tex.stackexchange.com/questions/353469/how-to-scale-a-matlab-graphic-and-include-it-in-latex-using-matlab2tikz | # How to scale a matlab graphic and include it in LaTeX using matlab2tikz
I have created a Matlab graphic. Now I want to use matlab2tikz in order to include the graphic in a LaTeX document. Therefore, I scale my graphic in Matlab, using:
%LaTeX set up
height=10; width=10;
set( gcf, 'Units', 'centimeters' )
set( gcf, ... | 2019-10-18 08:30:51 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | 提供的文本中没有表现出任何回溯行为。作者没有意识到路径无效并尝试不同的方法，也没有提到任何错误或需要重新计算的情况。
## Does backtrack?
no
## Number of backtrack steps
<count>0</count> | 2 | 0 | null | null | null | ||
https://www.flexiprep.com/NCERT-Exemplar-Solutions/Mathematics/Class-12/NCERT-Class-12-Mathematics-Exemplar-Chapter-9-Differential-Equations-Part-17.html | # NCERT Class 12-Mathematics: Chapter – 9 Differential Equations Part 17 (For CBSE, ICSE, IAS, NET, NRA 2023)
Get unlimited access to the best preparation resource for CBSE/Class-12 : get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-12.
Question 76: Fill in the blanks of the follow... | 2022-08-08 09:37:07 | {"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... | "text
## Thoughts
The provided text is a set of questions and statements related to differential equations, without any indication of the writer realizing a mistake or needing to go back to try a different approach. There are no phrases or sentences that suggest backtracking behavior.
## Does backtrack?
no
## Number ... | 提供的文本中没有包含任何验证步骤。文本主要是关于微分方程的填空题和判断题，没有展示任何检查或验证答案的过程。
## Thoughts
文本中没有展示任何验证步骤。它只是提供了关于微分方程的填空题和判断题，没有展示如何检查或验证答案的过程。
## Does verification?
no
## Number of answer verification steps
<count>0</count> | "text
## Thoughts
The provided text is a set of questions and statements related to differential equations, without any explicit breakdown of the problems into smaller, intermediate goals. The text does not contain any subgoal setting as described in the task description.
## Does subgoal setting?
no
## Number of subg... | 提供的文本中没有展示任何反向链接的行为。文本主要是关于微分方程的填空题和判断题，没有展示从目标结果反向推导的过程。
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count> | 0 | 0 | 0 | 0 |
http://tj-es.com/vol23no1pa9/ | # vol23no1pa9
References
[1] American Concrete Institute (ACI 207.1R-96), ” Mass Concrete “, PP 1-3,1996.
[2] M. Ishikawa, “Thermal Stress Analysis of a Concrete Dam”, TechnoIogicaI Research Center, PP 247-248,1991.
[3] National Ready Mixed Concrete Association (NRMCA), “Concrete in Practice”, Testing of compressive ... | 2020-09-22 17:51:44 | {"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... | user
## Thoughts
The provided text is an abstract from a research paper on the effects of expanded polystyrene and perlite on the mechanical properties and thermal conductivity of mass concrete. The text does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a differe... | assistant
## Thoughts
The provided text is an abstract from a research paper on the effects of expanded polystyrene and perlite on the mechanical properties and thermal conductivity of mass concrete. The text describes the methodology and results of the study but does not explicitly mention any steps taken to verify th... | user
## Thoughts
The text describes a research study on the effects of adding expanded polystyrene and perlite to mass concrete. It outlines a two-stage process for conducting the research. The first stage involves designing a reference mix and conducting four tests. The second stage involves adding polystyrene beads a... | user
## Thoughts
The provided text is an abstract from a research paper on the effects of expanded polystyrene and perlite on the mechanical properties and thermal conductivity of mass concrete. The text describes the methodology and results of the study but does not exhibit any backward-chaining behavior. The text doe... | 0 | 0 | 0 | null |
http://bobphaneuf1957.com/tag/chris-sale/ | ## Time For The Red Sox Pitching Staff To Step It Up
With game one of the ALDS scheduled tonight, it’s time for the Red Sox pitching staff to step it up. Although the team had a franchise high of 108 wins, in 2018 this is where the players earn their salary In this post, we will review three areas why the pitching sta... | 2018-11-14 06:35:05 | {"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... | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | assistant ## Thoughts
The provided text is a collection of articles discussing the performance and prospects of the Red Sox baseball team, particularly focusing on their pitching staff. The articles analyze the team's strengths and weaknesses, compare their performance with other teams, and speculate on their future su... | userHeaderCodeNotSupportedError: The provided code snippet is not supported. Please ensure you are following the correct format and guidelines for code snippets. If you are not dealing with code, please ignore this message. | SupportedContent | null | null | 0 | null |
http://physics.stackexchange.com/questions/60873/a-question-on-the-doped-kitaev-heisenberg-model | A question on the doped Kitaev-Heisenberg model?
Recently, some groups have studied the effects of doping the Kitaev model on honeycomb lattice(e.g.,http://arxiv.org/abs/1109.6681 and http://arxiv.org/abs/1109.4155) and their calculations show the existence of a topological p-wave superconducting phase.
My question i... | 2015-05-27 04:01:45 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant ## Thoughts
The text provided is a detailed explanation of the effects of doping on the Kitaev model and the insensitivity of the topological p-wave superconducting phase to the signs of the coupling constants. The writer does not exhibit any backtracking behavior; there are no instances where the writer real... | assistant ## Thoughts
The text provided is a detailed explanation and discussion about the effects of doping on the Kitaev model and the insensitivity of the topological p-wave superconducting phase to the signs of the coupling constants. The author explains the theoretical framework and the underlying mechanisms but d... | assistant ## Thoughts
The text provided is a detailed explanation and discussion about the effects of doping on the Kitaev model and the insensitivity of the topological p-wave superconducting phase to the signs of the coupling constants. The text does not break down the problem into smaller, intermediate goals or step... | assistant ## Thoughts
The text provided is a detailed explanation of the effects of doping on the Kitaev model and the insensitivity of the topological p-wave superconducting phase to the signs of the coupling constants. The explanation is primarily descriptive and theoretical, focusing on the underlying physics and ma... | 0 | 0 | 0 | 0 |
https://monstratext.com/what-is-the-adaptive-remote-sensing-image-fusion-technique | $18.99 # What is the adaptive remote sensing image fusion technique Essay What is the adaptive remote sensing image fusion technique, 492 words essay example Essay Topic: image \section{Dataset characteristics } The adaptive remote sensing image fusion technique is implemented on several data set of remote sensing sate... | 2021-06-21 00:25:19 | {"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... | user
## Thoughts
The provided text does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. The text is a structured essay about adaptive remote sensing image fusion techniques, and it does not include any backtracking behavior.
## Does backtrack?... | user
## Thoughts
The text describes an experiment comparing different image fusion techniques using various datasets. It mentions that the adaptive remote sensing image fusion based on the DCT technique was compared with other techniques to evaluate its performance. However, there are no explicit steps described where ... | user
## Thoughts
The provided text is an essay about adaptive remote sensing image fusion techniques. It describes the dataset characteristics and experimental results but does not break down the problem into smaller, intermediate goals. There is no explicit mention of subgoals or steps taken to achieve the final goal ... | user
## Thoughts
The provided text is an essay about the adaptive remote sensing image fusion technique. It describes the dataset characteristics and experimental results of the technique. There is no indication of backward-chaining behavior in the text. The text does not start from a goal and work backward to achieve ... | 0 | 0 | 0 | 0 |
https://www.allaboutcircuits.com/projects/led-saber-firmware-microcontroller-and-testing/ | Project
# Build Your Own LED Saber—Firmware, Microcontroller, and Testing
October 20, 2016 by Jeremy Lee
## In part 3, we compile the firmware and build the controller at the heart of the Saber, then do initial testing and diagnostics.
In part 3, we compile the firmware and build the controller at the heart of the ... | 2021-01-19 03:14:48 | {"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... | assistant
## Thoughts
The text provided is a detailed guide on building an LED saber, including firmware and microcontroller setup. There is no indication of the writer realizing a path won't work and explicitly going back to try a different approach. The text is instructional and does not contain any backtracking beha... | 204 | ptive | 0 | null | null | null | |
https://ijqf.org/archives/6775 | # Weekly Papers on Quantum Foundations (7)
from
PhilSci-Archive: No conditions. Results ordered -Date Deposited.
Sat Feb 11 2023 03:57:06 (12 hours)
# 1.
Alemañ-Berenguer, Rafael-Andrés (2023) THE SPATIAL INFINITY OF THE UNIVERSE: THE NEGLECTED PROBLEM OF COSMOLOGY. [Preprint]
from
by
D. G. Yakovlev, A. D. Kami... | 2023-04-02 01:37:41 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant
## Thoughts
The provided text is a collection of abstracts and summaries of various papers and articles related to quantum foundations and physics history. There is no indication of any backtracking behavior in the text. The content is presented in a straightforward manner, summarizing the contributions, find... | assistant ## Thoughts
The provided text is a collection of abstracts and summaries of various papers and articles related to quantum foundations and physics. The content is primarily descriptive and historical, with no explicit steps taken to verify results or calculations. There are no instances where the authors expl... | assistant ## Thoughts
The provided text is a collection of abstracts and summaries of various papers and articles related to quantum foundations and physics. None of the entries describe a process where a problem is broken down into smaller, intermediate goals. They are mostly descriptive or historical in nature, summa... | assistant ## Thoughts
The provided text is a collection of abstracts and summaries of various papers and articles related to quantum foundations and physics history. None of the entries describe a process where the writer starts from a goal and works backward to achieve it. The texts are descriptive and historical in n... | 0 | 0 | 0 | 0 |
https://cvgmt.sns.it/paper/1435/ | # Rectifiability of metric flat chains and fractional masses
created by stepanov on 16 Nov 2007
modified on 11 Oct 2010
[BibTeX]
Published Paper
Inserted: 16 nov 2007
Last Updated: 11 oct 2010
Journal: J. Math. Sciences (N.Y.)
Volume: 167
Number: 3
Pages: 406-417
Year: 2010
Notes:
(preprint 2007)
Abstract:
It i... | 2021-12-05 07:17:16 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant```markdown
## Thoughts
The provided text is an abstract from a published paper on the rectifiability of metric flat chains and fractional masses. The text does not contain any explicit statements indicating that the writer has realized a path won't work and is going back to try a different approach. There are... | user5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | user提供的文本是关于数学论文的摘要，其中并没有展示作者如何逐步解决问题或证明的过程。因此，这段文本中没有明确的子目标设定。
## Thoughts
文本是关于数学论文的摘要，描述了论文的主要结论，但没有展示作者如何逐步解决问题或证明的过程。
## Does subgoal setting?
no
## Number of subgoal setting steps
<count>0</count> | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | 0 | null | null | 0 |
https://www.omnimaga.org/calculator-c-language/nspire-(ndless)-c-linking-frenzy-(requests-for-ndless)/msg317079/ | ### Author Topic: Nspire (Ndless) C Linking Frenzy (+requests for Ndless) (Read 13999 times)
0 Members and 1 Guest are viewing this topic.
#### alberthrocks
• Moderator
• Posts: 876
• Rating: +103/-10
##### Nspire (Ndless) C Linking Frenzy (+requests for Ndless)
« on: September 17, 2012, 05:33:15 pm »
(Not to be co... | 2020-09-26 01:37:09 | {"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... | SupportedContent
## Thoughts
The text provided is a discussion thread about development issues with the Ndless SDK for the TI-Nspire calculator. The author, alberthrocks, describes a series of steps taken to resolve linking issues and mentions trying different approaches. However, there is no explicit indication of bac... | 提供的文本中没有明确的子目标设定。虽然讨论了多个问题和解决方案，但没有看到将问题分解为更小的中间目标的描述。
## Does subgoal setting?
no
## Number of subgoal setting steps
<count>0</count> | 0 | null | null | 0 | ||
http://eprints.iisc.ernet.in/35338/ | # A Thermodynamic Proposal for the Exposition of Critically and other Subtle Features in Self-Deflagrating Ammonium Perchlorate Systems
Kishore, K and Sridhara, K (1993) A Thermodynamic Proposal for the Exposition of Critically and other Subtle Features in Self-Deflagrating Ammonium Perchlorate Systems. In: Proceeding... | 2014-10-20 08:27:18 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant ## Thoughts
The provided text is an abstract of a scientific paper discussing a thermodynamic proposal for the deflagration of ammonium perchlorate systems. The text does not contain any explicit statements indicating that the authors have realized a mistake or that they need to go back and try a different ap... | assistant ## Thoughts
The text provided is an abstract from a scientific paper discussing a thermodynamic model for the deflagration of ammonium perchlorate. The abstract mentions several points of agreement between the model and experimental or theoretical results, such as the agreement of gas and condensed phase enth... | assistant ## Thoughts
The provided text is an abstract from a scientific paper discussing a thermodynamic proposal for the deflagration of ammonium perchlorate systems. The text does not break down the problem into smaller, intermediate goals or subgoals. It is more of a summary of findings and observations rather than... | assistant ## Thoughts
The provided text is an abstract from a scientific paper discussing the deflagration of ammonium perchlorate (AP) in different regimes and the thermodynamic model used to explain the observed phenomena. The text does not contain any reasoning that starts from a goal and works backward to achieve i... | 0 | 0 | 0 | 0 |
https://brilliant.org/discussions/thread/fall-math/ | ×
fall math
Note by Varun Kaushik
3 years, 4 months ago
Sort by:
Did you use the search bar? These are the ones I could find.
See here, here and here.
I hope this helps! · 3 years, 4 months ago | 2017-01-19 04:49:29 | {"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... | user56 | userValueHandling the provided text, it appears to be a comment or response to a query about finding resources related to "fall math." The text does not contain any explicit steps for verifying answers or solutions. It simply provides links to resources and expresses hope that the provided information is helpful.
## T... | assistant ## Thoughts
The text provided is a brief note and a reply to a query about fall math resources. It does not contain any breakdown of a problem into smaller, intermediate goals. The reply directs the reader to other resources without setting out any subgoals for solving a mathematical problem.
## Does subgoal... | assistant ## Thoughts
The provided text does not contain any reasoning or problem-solving process that starts from a goal and works backward. The text appears to be a response to a query about finding math resources, directing the user to search results without any backward-chaining reasoning.
## Does the text exhibit... | null | 0 | 0 | 0 |
https://math.stackexchange.com/questions/1347824/minimum-distance-between-closed-sets | # Minimum distance between closed sets.
I understand that if given a compact set K and a closed set C,that are disjoint, of a metric space then it follows that there is a minimum distance between them(You can prove this via a continuous function $\varphi_C:K\to R$ that contains the distance information and show that i... | 2019-08-20 06:30:11 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant```markdown
## Thoughts
The text does not contain any explicit instances of the writer realizing a path won't work and then going back to try a different approach. The writer describes their attempts and where they got stuck, but there is no indication of backtracking to a previous computation or approach.
##... | assistant
## Thoughts
The text provided is a discussion about finding an example of two disjoint closed sets in a metric space where there is no positive minimum distance between them. The text does not contain any explicit steps where the writer checks their work or verifies the correctness of their claims or examples... | assistant
## Thoughts
The text describes a problem and some attempts to find an example of two disjoint closed sets without a positive minimum distance. However, the writer does not break down the problem into smaller, intermediate goals. The attempts are more exploratory in nature, trying different approaches without ... | assistant ## Thoughts
The text provided does not contain any instances of backward-chaining behavior. The writer is describing a problem and the steps they have taken to try to solve it, but they do not start from a goal and work backward to achieve it. They are exploring examples and considering different metric space... | 0 | 0 | 0 | 0 |
https://jira.lsstcorp.org/browse/DM-13162 | # Fix warning in processEimage
XMLWordPrintable
## Details
• Type: Story
• Status: Done
• Resolution: Done
• Fix Version/s: None
• Component/s:
• Labels:
• Story Points:
0.5
• Sprint:
AP S18-1
• Team:
## Description
processEimage.py currently loads the metadata of a simulated observation twice and runs the same co... | 2020-11-27 08:39:49 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant```markdown
## Thoughts
The text provided is a description of an issue and its resolution in a software development context. It does not contain any explicit statements indicating that the writer has realized a path won't work and is going back to try a different approach. The text describes a warning that was... | assistant```markdown
## Thoughts
The text provided is a description of a software issue and its resolution. It does not contain any explicit steps for verifying the correctness of a solution or calculation. The text describes a warning that was fixed, but there is no mention of checking the result of the fix against a ... | assistant ## Thoughts
The text provided is a description of an issue in a software development context, specifically about a warning generated by a script named `processEimage.py`. The text explains the problem and a comment by Ian Sullivan describes the nature of the warning and when it occurs. However, there is no ex... | assistant ## Thoughts
The text provided is a description of an issue in a software development context, specifically about a warning generated by a script named `processEimage.py`. The text explains the nature of the warning and the unnecessary duplication of a process. There is no indication of backward-chaining behav... | 0 | 0 | 0 | 0 |
http://www.ck12.org/tebook/Algebra-I-Teacher%2527s-Edition/r1/section/4.7/ | <img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Our Terms of Use (click here to view) and Privacy Policy (click here to view) have changed. By continuing to use this site, you are agreeing to our new Terms of Use and Privacy Policy.
# ... | 2016-07-24 05:28:51 | {"extraction_info": {"found_math": true, "script_math_tex": 27, "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... | user
## Thoughts
The provided text is a lesson plan for teaching linear function graphs. It does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. The text is instructional and does not include any backtracking behavior.
## Does backtrack?
no
#... | user
## Thoughts
The provided text is a lesson plan for teaching linear function graphs. It includes learning objectives, vocabulary, teaching strategies, and examples. However, the text does not contain any explicit verification steps where the writer checks their own work or the results of a calculation.
## Does ver... | user
## Thoughts
The provided text is a lesson plan for teaching linear function graphs. It includes learning objectives, vocabulary, teaching strategies, and examples. However, the text does not contain any explicit subgoal setting where the writer breaks down the problem into smaller, intermediate goals. The text is ... | user
## Thoughts
The provided text is a lesson plan for teaching linear function graphs. It does not contain any reasoning or problem-solving process that would indicate backward-chaining behavior. The text is instructional and focuses on introducing concepts and teaching strategies rather than solving problems through... | 0 | 0 | 0 | 0 |
https://julia-zh-cn.readthedocs.io/zh_CN/latest/manual/style-guide/ | # 代码样式¶
The following sections explain a few aspects of idiomatic Julia coding style. None of these rules are absolute; they are only suggestions to help familiarize you with the language and to help you choose among alternative designs.
## 写成函数，别写成脚本¶
Writing code as a series of steps at the top level is a quick wa... | 2018-10-16 17:25:55 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | 提供的文本中没有明显的回溯行为。文本主要讨论了Julia编程语言的编码风格建议，没有提到作者在解决问题时改变思路或纠正错误的过程。
## Does backtrack?
no
## Number of backtrack steps
<count>0</count> | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | 55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | HeaderCode
HeaderCode
HeaderCode
HeaderCode
HeaderCode
5 | 0 | null | null | null |
https://math.stackexchange.com/questions/2980574/attempt-at-finding-the-best-linear-unbiased-estimator-blue | # Attempt at Finding the Best Linear Unbiased Estimator (BLUE)
Let $$X_1,...X_n$$ be iid $$N(0,\sigma^2)$$ where $$\sigma$$ is unknown. My task is to find the BLUE for $$\sigma$$ within the set of linear functions of $$|X_i|$$ for $$i=1,...,n$$. Here is my work thus far:
First, let $$T=\sum_{i=1}^nc_i|X_i|$$ be an es... | 2021-07-30 20:08:16 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant ## Thoughts
The text provided does not contain any explicit instances of backtracking. The writer presents a problem and their work towards solving it, but there are no statements indicating that they have realized a mistake or that they need to go back to a previous step to try a different approach. The writ... | user
## Thoughts
The provided text is a discussion on finding the Best Linear Unbiased Estimator (BLUE) for a given statistical problem. The text includes a detailed derivation of the conditions under which an estimator can be considered unbiased and the steps to minimize the variance of the estimator. However, the tex... | assistant ## Thoughts
The text describes a process for finding the Best Linear Unbiased Estimator (BLUE) for a parameter in a statistical context. The writer breaks down the problem into several steps, including defining the estimator, ensuring it is unbiased, calculating its variance, and then minimizing the variance ... | assistant ## Thoughts
The provided text does not exhibit backward-chaining behavior. The writer is attempting to find the Best Linear Unbiased Estimator (BLUE) for \(\sigma\) and is working through the problem in a forward manner, starting with the definition of the estimator and proceeding to derive conditions for it ... | 0 | 0 | 0 | null |
http://diamondtouchbodyshop.com/robinhood-trader-iudwe/15f5e7-introduction-to-deep-learning-book-pdf | 1 Introduction 1.1Motivation Acoretopicinmachinelearningisthatofsequentialdecision-making. Introduction. Note:! How can machine learning—especially deep neural networks—make a real difference … - Selection from Deep Learning [Book] An Introduction to Deep Reinforcement Learning Vincent François-Lavet, McGill University... | 2021-04-12 13:10:06 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant## Thoughts
The provided text is a collection of excerpts and descriptions related to deep learning books and resources. It does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. There are no phrases like "Let me try again", "Wait", "I m... | assistant ## Thoughts
The provided text is a collection of excerpts and descriptions related to deep learning books and resources. It does not contain any explicit verification steps where the writer checks their work or results.
## Does verification?
no
## Number of answer verification steps
<count>0</count> | assistant ## Thoughts
The provided text is a collection of snippets related to deep learning books and resources. It does not contain any explicit subgoal setting where the writer breaks down a problem into smaller, intermediate goals. The text is more descriptive and informative about various deep learning books and r... | assistant## Thoughts
The provided text is a collection of information about deep learning books, their descriptions, and some introductory content about deep learning. It does not contain any reasoning or problem-solving process that starts from a goal and works backward. The text is more descriptive and informative ra... | 0 | 0 | 0 | 0 |
https://zbmath.org/?q=an%3A1268.11136 | # zbMATH — the first resource for mathematics
Friable values of binary forms. (English) Zbl 1268.11136
Let $$P^+(n)$$ denote the largest prime factor of $$n$$ and let $$F\in\mathbb Z[X,Y]$$ be an integral binary form of degree $$t\geq 2$$. The authors consider the problem of how small $$y$$ can be as a function of $$x... | 2021-07-31 11:59:57 | {"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... | user
## Thoughts
The provided text is a review of a mathematical paper and does not contain any instances where the writer realizes a path won't work and explicitly goes back to try a different approach. The text is a summary of the paper's content and does not include any backtracking behavior.
## Does backtrack?
no... | user
## Thoughts
The provided text is a review of a mathematical paper discussing the distribution of integers with specified multiplicative constraints, specifically focusing on friable values of binary forms. The text does not contain any explicit steps where the authors check their work or verify their results. It ... | assistant ## Thoughts
The text provided is a summary of a mathematical paper discussing the distribution of integers with specified multiplicative constraints, specifically focusing on the friable values of binary forms. The text does not explicitly break down the problem into smaller, intermediate goals or steps. It d... | user | 0 | null | 0 | 0 |
https://martin-ueding.de/posts/graphics-chip-plot/ | # Graphics Chip Plot
The graphics card manufactured by AMD and NVIDIA have certain consumer names like "GeForce GTX 960" or "Radeon R9 380". These follow some loose scheme. The first digit is a series, the remaining digits are what I call a level. There 9 is awesome, 1 is not so good. Taking a trailing zero, one has a... | 2020-07-11 08:11:26 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user
## Thoughts
The text provided does not contain any explicit instances of backtracking. The author describes a process of normalizing graphics card names and creating visual representations of the data. There are no statements indicating that the author realized a path wouldn't work and explicitly went back to try ... | user3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333... | userityEngineSupportedContent | 提供的文本中没有展示任何向后链接的行为。文本主要描述了作者如何整理和分析AMD和NVIDIA的图形卡命名和芯片使用情况，没有涉及从目标结果反向推理的过程。
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count> | 0 | 0 | null | null |
https://mikepawliuk.ca/tag/chromatic-number/ | ## Fractional Hedetniemi’s conjecture and Chromatic Ramsey number – Ramsey DocCourse Prague 2016
The following notes are from the Ramsey DocCourse in Prague 2016. The notes are taken by me and I have edited them. In the process I may have introduced some errors; email me or comment below and I will happily fix them.
... | 2023-03-25 18:11:37 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant
## Thoughts
The provided text does not contain any explicit instances of backtracking. The text is a summary of notes from lectures and does not include any personal reflections or corrections from the writer. There are no phrases like "Let me try again," "Wait," "I made a mistake," or "we need to try a diffe... | assistant
## Thoughts
The provided text is a summary of lecture notes from a course on Ramsey theory. It does not contain any explicit verification steps where the author checks their work or the results of calculations. The text is more focused on defining terms and outlining the main topics covered in the lectures.
... | assistant
## Thoughts
The provided text is a summary of notes from a lecture series on advanced topics in graph theory and Ramsey theory. It does not contain any explicit breakdown of problems into smaller, intermediate goals. The text is more descriptive, listing main topics and definitions rather than outlining a ste... | assistant ## Thoughts
The provided text does not contain any instances of backward-chaining behavior. The text is a summary of notes from a lecture series on advanced topics in graph theory and Ramsey theory. It does not present any problem-solving processes that start from a goal and work backward to the initial condi... | 0 | null | 0 | 0 |
http://ieeexplore.ieee.org/xpl/tocresult.jsp?reload=true&isnumber=4236053&punumber=2220 | By Topic
# Electronics Letters
## Filter Results
Displaying Results 1 - 11 of 11
• ### n-channel enhancement m.o.s. transistor built in germanium-doped silicon
Publication Year: 1973, Page(s):153 - 154
| | PDF (1752 KB)
Shallow diffusion of germanium into silicon, performed in a vacuum or an open-tube furnace and ... | 2017-04-27 15:45:26 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant ## Thoughts
The provided text is a list of publication summaries from the journal "Electronics Letters." Each entry describes a different publication, its year of publication, and a brief abstract or summary. There is no indication of any backtracking behavior in the text. The summaries are straightforward an... | assistant ## Thoughts
The provided text is a list of publication summaries from the journal "Electronics Letters." Each entry describes a different research paper or topic, but none of the summaries include any explicit steps for verifying the results or calculations within the research. The summaries are descriptive a... | assistant ## Thoughts
The provided text is a list of publication abstracts from the journal "Electronics Letters." Each abstract describes a research paper or a technical note, but none of them contain explicit subgoal setting. The text is informative and descriptive, summarizing the content and findings of each paper,... | assistant ## Thoughts
The provided text is a list of publication summaries from the journal "Electronics Letters." Each summary describes a different research topic or technical achievement in the field of electronics. None of the summaries exhibit backward-chaining behavior. They do not start from a goal and work back... | 0 | 0 | 0 | 0 |
http://www.mathcounterexamples.net/counterexamples-around-cauchy-condensation-test/ | # Counterexamples around Cauchy condensation test
According to Cauchy condensation test: for a non-negative, non-increasing sequence $$(u_n)_{n \in \mathbb N}$$ of real numbers, the series $$\sum_{n \in \mathbb N} u_n$$ converges if and only if the condensed series $$\sum_{n \in \mathbb N} 2^n u_{2^n}$$ converges.
Th... | 2017-07-25 22:48:19 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | userassistant## Thoughts
The provided text is a mathematical discussion about counterexamples to the Cauchy condensation test. It does not contain any explicit statements indicating that the writer has realized a mistake or that a different approach is needed. The text presents two sequences and analyzes their converge... | assistant
## Thoughts
The text provides examples of sequences that serve as counterexamples to the Cauchy condensation test. It does not explicitly check its own work by verifying the results through substitution or comparison with known values. Instead, it directly explains the behavior of the sequences and their conv... | assistant
## Thoughts
The text provides two examples of sequences that serve as counterexamples to the Cauchy condensation test. It does not break down the problem into smaller, intermediate goals but rather directly presents the sequences and their properties. The text explains the behavior of the sequences and their ... | 22222 | 0 | null | 0 | 0 |
http://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-6th-edition/chapter-3-section-3-2-introduction-to-functions-exercise-set-page-142/66c | ## Intermediate Algebra (6th Edition)
We are given that $h(x)=7$. $h(-\frac{3}{4})=7$ In this example, h(x) does not depend on x and will be equal to 7 for any value of x. | 2017-02-24 15:14:49 | {"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... | user
## Thoughts
The provided text is a straightforward explanation of a function where \( h(x) = 7 \) for any value of \( x \). There is no indication of the writer realizing a mistake, needing to try a different approach, or backtracking to a previous step.
## Does backtrack?
no
## Number of backtrack steps
<count>... | user
222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222... | user325 | user提供的文本中没有展示任何反向链接的行为。它只是陈述了一个函数\(h(x) = 7\)，并且说明了这个函数对于任何\(x\)的值都是7。这并不涉及从目标结果开始反向推理的过程。
## Thoughts
文本中没有展示任何反向链接的行为。它只是简单地陈述了一个函数的性质，没有涉及从目标结果开始反向推理的过程。
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count> | 0 | 0 | null | null |
http://mymathforum.com/number-theory/343525-finite-mapped-infinite-set.html | My Math Forum Finite mapped on infinite set
User Name Remember Me? Password
Number Theory Number Theory Math Forum
February 26th, 2018, 09:49 PM #1 Senior Member Joined: May 2015 From: Arlington, VA Posts: 410 Thanks: 27 Math Focus: Number theory Finite mapped on infinite set Can a finite set ever be mapped onto... | 2019-05-24 04:52:26 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user
## Thoughts
The text provided does not contain any instances where the writer explicitly realizes a path won't work and goes back to try a different approach. The discussion revolves around the concept of mapping a finite set onto an infinite set and the definition of a function, but there is no indication of back... | user
## Thoughts
The text provided is a discussion on a math forum about whether a finite set can be mapped onto an infinite set. The discussion revolves around the definition of a function and the properties of finite and infinite sets. There are no explicit verification steps where the writer checks their own work or... | user
## Thoughts
The text provided is a discussion on a math forum about whether a finite set can be mapped onto an infinite set. The discussion does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The participants are discussing the definition of a function a... | user
## Thoughts
The text provided is a discussion on a math forum about whether a finite set can be mapped onto an infinite set. The discussion revolves around the definition of a function and the properties of finite and infinite sets. There is no evidence of backward-chaining behavior in the reasoning provided by th... | 0 | 0 | 0 | 0 |
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