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https://mathstodon.xyz/@christianp | Pinned post
You, a tech startup with millions in angel finance: made an app to turn handwritten maths into TeX.
Me, just the worst kind of smart alec: convinced a pen to turn TeX into handwritten maths
Hey, math nerds, I really want to know, why is Wikipedia saying that $$\wp(X)$$ is a notation for the power set? Fi... | 2022-07-07 17:00:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Number Theory, Linear Algebra, Geometric Group Theory, Mathematical Jokes and Puzzles
## Rationale
The text contains various mathematical concepts, problems, and so... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be a collection of social media posts or comments from a mathematician or someone interested in mathematics. While the text contains discussions ab... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be a collection of social media posts or comments from a mathematics-themed community. The posts are informal and conversational, discussing... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text appears to be a collection of social media posts or comments from a mathematics enthusiast. Upon reviewing the text, there is no clear ... | no | <count>0</count>. | The provided text does not exhibit any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears to be a collection of unrelated mathematical thoughts, jokes, and references, with no indication of the writer abandoning a though... | no | <count>0</count> | The provided text appears to be a collection of social media posts or comments from a mathematics enthusiast. Upon reviewing the text, there is no clear evidence of backward-chaining behavior, where the writer starts with a goal and works backward to achieve it. The posts seem to be a series of unrelated thoughts, joke... | no | <count>0</count>. | The provided text appears to be a collection of social media posts or comments from a mathematician or someone interested in mathematics. While the text contains discussions about mathematical concepts, sequences, and problems, there are no explicit verification steps where the writer checks their own work by comparing... | yes | yes | math | Number Theory, Linear Algebra, Geometric Group Theory, Mathematical Jokes and Puzzles | The text contains various mathematical concepts, problems, and solutions, including discussions about notation, sequences, matrices, and geometric group theory. It also includes jokes and puzzles related to mathematics, such as the "Triple bubble conjecture" and the sequence "1,2,3,4,5,6,7,8,9,...". The text also menti... | ||
https://www.aamt.edu.au/Better-teaching/Classroom-resources/Maths-Inside | ## Featured resource
### Autograph v4 single user (major make-over)
Members: $80.00 inc.GST Others:$ 100.00 inc.GST
# Maths Inside
The Maths Inside: Highlighting the Role of Mathematics in Society as Motivation to Engage More in Mathematical Activities project (managed by the University of Technology, Sydney) has d... | 2018-07-23 07:34:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It appears to be a collection of brief descriptions of various projects and topics related to mathematics and science, presente... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Applied Mathematics and Science, focusing on real-world applications and innovations
## Rationale
The text highlights various real-world problems, such as colony... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calcu... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text does not exhibit backward-chaining behavior. It appears to be a collection of descriptions of various projects and initiatives, each with a clea... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. It appears to be a collection of brief descriptions of various projects and topics related to mathematics and science, presented in a straightforward and linear manner. There are no instances where the writer abandons a thought or approach and explicitly bac... | no | <count>0</count> | The text does not exhibit backward-chaining behavior. It appears to be a collection of descriptions of various projects and initiatives, each with a clear goal or objective, but the text does not work backwards from a goal to achieve it. Instead, it presents the goals and objectives as a starting point and provides inf... | no | <count>0</count>. | The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calculation. The text appears to be descriptive, providing information about various projects and initiatives without including any self-checking or ... | yes | yes | science | Applied Mathematics and Science, focusing on real-world applications and innovations | The text highlights various real-world problems, such as colony collapse disorder, hospital overcrowding, marine debris, obesity, and climate change, and presents solutions or approaches to address these issues, including the use of mathematics, technology, and scientific research. The problems and solutions are presen... | ||
https://leokongwq.github.io/2017/08/15/mysql-data-types-set.html | # mysql数据类型-集合
SET是一个字符串对象，可以包含0个或多个值，每一个值都必须是在建表是指定的取值列表中出现的。SET类型的列的值可以是建表是取值列表中的一个或多个值，每个值用’,’分割。由此可以得出一个结论，集合中的元素不能包含’,’。
MySQL以数字方式存储SET值，字节序的低位（1）对应于第一个成员，以此类推。 如果在数字上下文中查询SET类型列的值，则查询到的列值为所有bit位组成的数字。 例如，你可以以下面所示的方式查询SET类型的列：
SET Member Decimal Value Binary Value
‘a’ 1 0001
‘b’ 2 0010
‘c’ 4 0100
‘d’ 8 1000
S... | 2021-09-24 23:22:05 | {"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... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of MySQL's SET data type, its characteristics, and how to work with it, ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
no
## Text domain (broad)
science
## Text domain (specific)
Computer Science, Database Systems, MySQL
## Rationale
The text appears to be a descriptive passage about the SET data type in MySQL, explaining its characteristic... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calcu... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a descr... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text provided is a descriptive article about MySQL's SET data type, its characteristics, and how to work with it. The author presents information in ... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of MySQL's SET data type, its characteristics, and how to work with it, without abandoning any thoughts or reverting to a previous approach. The text is informative and follows a logical sequence, indica... | no | <count>0</count> | The text provided is a descriptive article about MySQL's SET data type, its characteristics, and how to work with it. The author presents information in a straightforward manner, explaining the features and behaviors of SET types, how they are stored, and various functions and methods to interact with them. There is no... | no | <count>0</count>. | The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calculation. The text primarily provides explanatory information about MySQL's SET data type, its storage, and how to query and compare SET values, w... | no | no | science | Computer Science, Database Systems, MySQL | The text appears to be a descriptive passage about the SET data type in MySQL, explaining its characteristics, usage, and functions. It does not pose a problem or provide a solution to a specific issue, but rather serves as a informative article or documentation about MySQL's SET data type. The text assumes a basic und... | ||
https://www.emathinstruction.com/shop/printed-workbooks/n-gen-math-8-workbook/ | # N-Gen Math™ 8 Workbook
$26.00 -$45.00
This workbook contains almost 90 lessons and homework sets that are aligned to the Next Generation standards. The format of this workbook is spiral bound book with the pages perforated and three-hole punched. The answer key for this course is sold separately as an electronic m... | 2020-04-07 16:08:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a straightforward description of a math workbook, its features, and its contents, without any indication of the writer ab... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
no
## Text domain (broad)
math
## Text domain (specific)
Middle School Mathematics Curriculum
## Rationale
The text appears to be a product description for a math workbook, specifically designed for 8th-grade students, alig... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any instances of verification steps. It appears to be a product description for a math workbook, listing its features, contents, and purchasi... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting or steps for breaking down a problem into smaller, intermediate goals. It appears to be a product descrip... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text appears to be a product description for an 8th-grade math workbook, detailing its features, format, and content. The text does not demo... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. It is a straightforward description of a math workbook, its features, and its contents, without any indication of the writer abandoning a thought or approach and trying a different one. The text is informative and follows a logical sequence, presenting detai... | no | <count>0</count> | The provided text appears to be a product description for an 8th-grade math workbook, detailing its features, format, and content. The text does not demonstrate backward-chaining behavior, where the writer starts with a goal and works backward to achieve it. Instead, the text presents information in a straightforward a... | no | <count>0</count>. | The provided text does not contain any instances of verification steps. It appears to be a product description for a math workbook, listing its features, contents, and purchasing information. There are no calculations, comparisons to known values, or checks of results that would indicate verification steps. The text is... | no | no | math | Middle School Mathematics Curriculum | The text appears to be a product description for a math workbook, specifically designed for 8th-grade students, aligned with the Next Generation standards. It lists various units and topics covered in the workbook, but does not present a specific problem to be solved or a solution to a particular issue. The text is foc... | ||
https://www.mathphysicsbook.com/mathematics/topological-spaces/generalizing-shapes/mapping-spaces/ | Mapping spaces
For algebraic objects, the most basic structure-preserving map was a homomorphism. The most basic equivalence in topology is the similarly named homeomorphism. Homeomorphic spaces are “the same” from a topological point of view.
◊ One can visualize a homeomorphism as stretching and bending a space arb... | 2018-08-21 21:13:32 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of topological concepts, including homeomorphisms, homotopy equivalencie... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
no
## Text domain (broad)
math
## Text domain (specific)
Topology, Algebraic Topology
## Rationale
The text does not present a specific problem to be solved, but rather provides an explanation and definition of concepts in ... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of a calc... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be an informative ... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text does not exhibit backward-chaining behavior. It starts by introducing basic concepts in topology, such as homeomorphism and homotopy equivalency... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of topological concepts, including homeomorphisms, homotopy equivalencies, and deformation retraction, without abandoning any thoughts or reverting to previous approaches. The text flows logically, intro... | no | <count>0</count> | The text does not exhibit backward-chaining behavior. It starts by introducing basic concepts in topology, such as homeomorphism and homotopy equivalency, and then builds upon these definitions to introduce more complex concepts, like homotopy relative to a subset and deformation retraction. The text proceeds in a logi... | no | <count>0</count>. | The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of a calculation. The text is primarily descriptive and definitional, focusing on explaining concepts related to topology, such as homeomorphism, homotop... | no | no | math | Topology, Algebraic Topology | The text does not present a specific problem to be solved, but rather provides an explanation and definition of concepts in topology, such as homeomorphism, homotopy equivalency, and deformation retraction. The text appears to be educational or informative in nature, aiming to introduce and clarify these concepts rathe... | ||
https://docs.eyesopen.com/applications/szmap/pch.html | # Pch¶
## Overview¶
The Pch utility helps prepare input files for use with SZMAP by adding partial charges (thus the name) and radii to atoms, and separating protein chains from any ligand(s) and any waters. It reads a structure file—preferably one where the hydrogens have already been added and oriented in optimal p... | 2019-01-17 20:21:04 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a descriptive document explaining the usage and functionality of the Pch utility, including its parameters, options, and ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Biochemistry and Computational Biology, specifically protein structure preparation and molecular modeling
## Rationale
The text describes a utility called Pch tha... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of a calc... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting where the model breaks down the problem into smaller, intermediate goals. The text appears to be a docume... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text provided is a technical description of the Pch utility, its features, and its usage. It explains how the utility works, the options available, a... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. It is a descriptive document explaining the usage and functionality of the Pch utility, including its parameters, options, and examples. The text presents a linear and structured explanation without any instances where the writer abandons a thought or approa... | no | <count>0</count> | The text provided is a technical description of the Pch utility, its features, and its usage. It explains how the utility works, the options available, and how to use it for preparing input files for SZMAP. The text is written in a straightforward and explanatory style, providing step-by-step instructions and examples.... | no | <count>0</count>. | The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of a calculation. The text primarily describes the functionality and usage of the Pch utility, including its parameters, options, and applications, witho... | no | yes | science | Biochemistry and Computational Biology, specifically protein structure preparation and molecular modeling | The text describes a utility called Pch that helps prepare input files for molecular modeling software SZMAP by adding partial charges and radii to atoms, separating protein chains from ligands and waters, and assigning charges to atoms. The text provides detailed instructions on how to use Pch, including command-line ... | ||
https://people.maths.bris.ac.uk/~matyd/GroupNames/128i2/Q8xQ16.html | Copied to
clipboard
## G = Q8×Q16order 128 = 27
### Direct product of Q8 and Q16
direct product, p-group, metabelian, nilpotent (class 3), monomial
Series: Derived Chief Lower central Upper central Jennings
Derived series C1 — C2×C4 — Q8×Q16
Chief series C1 — C2 — C4 — C2×C4 — C42 — C4×Q8 — Q82 — Q8×Q16
Lower c... | 2023-02-02 08:20:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text appears to be a mathematical description of a group, specifically the direct product of Q8 and Q16, including its properties, generators, and relations. There is no eviden... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
no
## Text domain (broad)
math
## Text domain (specific)
Group Theory, specifically the study of finite groups and their properties.
## Rationale
The text appears to be a detailed description of a specific group, Q8×Q16, in... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be a mathematical description of a group, specifically the direct product of Q8 and Q16, including its properties, generators, and relations. There... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be a mathematical description of a group, specifically the direct product of Q8 and Q16, including its properties, subgroups, and generators... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text appears to be a mathematical description of a group, specifically the direct product of Q8 and Q16, including its properties, subgroups... | no | <count>0</count>. | The provided text appears to be a mathematical description of a group, specifically the direct product of Q8 and Q16, including its properties, generators, and relations. There is no evidence of backtracking behavior, such as phrases like "Let me try again" or "Wait, that won't work." The text presents a straightforwar... | no | <count>0</count> | The provided text appears to be a mathematical description of a group, specifically the direct product of Q8 and Q16, including its properties, subgroups, quotients, and generators. The text does not exhibit backward-chaining behavior, which involves working towards a goal by starting from the goal and reasoning backwa... | no | <count>0</count>. | The provided text appears to be a mathematical description of a group, specifically the direct product of Q8 and Q16, including its properties, generators, and relations. There is no explicit evidence of verification steps, such as comparing results to known values or checking calculations, in the given text. The text ... | no | no | math | Group Theory, specifically the study of finite groups and their properties. | The text appears to be a detailed description of a specific group, Q8×Q16, including its order, series, generators, relations, subgroups, quotients, and permutation representation. The language and notation used are typical of abstract algebra and group theory, indicating that the text is from a mathematical context. T... | ||
https://docs.integral.link/size/concepts/protocol-overview/glossary | Integral SIZE
Search…
Glossary
# Pair
A pair (or pool) in SIZE is a smart contract that holds the ERC20 tokens where actual events (swap/deposit/withdraw) happen. Currently SIZE only supports 2-token swapping (does not support multi-token swapping), so each pool contains only 2 tokens. Each trading pair (such as WBTC... | 2022-10-01 20:42:21 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 3, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. The writer presents a series of explanations and definitions related to the SIZE system, including pairs, oracles, curves, dela... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Computer Science, Blockchain, Cryptocurrency
## Rationale
The text appears to be a technical description of a cryptocurrency trading platform called SIZE, explain... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calcu... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a descr... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and then figur... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. The writer presents a series of explanations and definitions related to the SIZE system, including pairs, oracles, curves, delays, orders, and bots, without ever abandoning a thought or approach and trying a different one. The text is a straightforward, line... | no | <count>0</count> | The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and then figuring out the steps needed to achieve it. In the given text, the author describes various components of the SIZE system, such as pairs, oracles, curves, delays, orders, ... | no | <count>0</count>. | The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calculation. The text appears to be a descriptive explanation of the SIZE system, its components, and how they interact, without any instances of sel... | no | yes | science | Computer Science, Blockchain, Cryptocurrency | The text appears to be a technical description of a cryptocurrency trading platform called SIZE, explaining its various components and how they interact with each other. It does not pose a problem to be solved, but rather presents a solution, describing the architecture and functionality of the platform. The text assum... | ||
https://codegolf.stackexchange.com/questions/123971/the-curious-case-of-steve-ballmer/153252 | # The Curious Case of Steve Ballmer
Steve Ballmer is the ex-CEO of Microsoft, and in a recent article, claimed that he "still does not know what he did wrong with mobile".
As CodeProject's newsletter pointed out, "That article's title could be ended at so many spots and still be accurate".
Given no input, output the... | 2019-12-08 04:16:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
computer science
## Text domain (specific)
Programming, specifically code golf and string manipulation
## Rationale
The text appears to be a collection of code snippets in various programming lang... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning ... | no | <count>0</count>. | The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears to be a collection of code snippets and discussions about a programming challenge, and the writers do not abandon any thoughts or ... | no | <count>0</count> | The provided text does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning backward to find the necessary steps to achieve it. The text appears to be a collection of code snippets and discussions about a programming challenge, but it does not... | no | <count>0</count>. | The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The text appears to be a collection of code snippets in various programming languages, each designed to output a specific string ... | no | yes | computer science | Programming, specifically code golf and string manipulation | The text appears to be a collection of code snippets in various programming languages, all of which are designed to solve the same problem: printing out a series of strings with a specific format. The problem is not explicitly stated, but it can be inferred from the code examples. The text does not contain a traditiona... | Given no input, output the following:
Steve Ballmer still does not know.
Steve Ballmer still does not know what he did.
Steve Ballmer still does not know what he did wrong.
Steve Ballmer still does not know what he did wrong with mobile. | <think>I need to generate the output by concatenating parts of the sentence progressively. I will start with the base sentence and keep adding parts of the sentence to it. I will use a loop to iterate through the parts and concatenate them to the base sentence. I will also add a period at the end of each sentence.</thi... |
http://kiaa.pku.edu.cn/biblio/2014/triple-microlens-ogle-2008-blg-092l-binary-stellar-system-circumprimary-uranus-type | # Triple Microlens OGLE-2008-BLG-092L: Binary Stellar System with a Circumprimary Uranus-type Planet
Title Triple Microlens OGLE-2008-BLG-092L: Binary Stellar System with a Circumprimary Uranus-type Planet Publication Type Journal Article Year of Publication 2014 Authors Poleski, R, Skowron, J, Udalski, A, Han, C, Ko... | 2019-04-25 13:09:54 | {"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": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a formal scientific abstract that presents a discovery and discusses its implications in a straightforward manner, withou... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
no
## Text domain (broad)
science
## Text domain (specific)
Astrophysics, Exoplanetary Science
## Rationale
The text appears to be a scientific article discussing the discovery of a planet using gravitational microlensing. ... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by checking the result of a ca... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a scien... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text does not exhibit backward-chaining behavior. It appears to be a straightforward presentation of a scientific discovery, where the authors start ... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. It is a formal scientific abstract that presents a discovery and discusses its implications in a straightforward manner, without any indication of the author abandoning a thought or approach and trying a different one. The text follows a logical structure, i... | no | <count>0</count> | The text does not exhibit backward-chaining behavior. It appears to be a straightforward presentation of a scientific discovery, where the authors start by introducing the topic and then provide details about the discovery, its significance, and its implications. The text does not show any evidence of working backwards... | no | <count>0</count>. | The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by checking the result of a calculation. The text appears to be a summary of a scientific discovery and discusses the implications and characteristics of the discovery, but i... | no | no | science | Astrophysics, Exoplanetary Science | The text appears to be a scientific article discussing the discovery of a planet using gravitational microlensing. It presents a discovery and discusses its implications, but does not pose a specific problem to be solved or provide a solution to an existing problem. The language and content suggest a research-focused a... | ||
http://www.pivottabler.org.uk/news/index.html | # pivottabler 1.5.1 2021-03-11
## Breaking Changes
stringsAsFactors in R 4.0.x and 4.1.x
# pivottabler 1.5.0 2020-06-16
## Overview
This release includes one potentially breaking change and many small enhancements across various parts of the package.
Reminder: The package now only contains one introductory vignet... | 2021-04-13 17:10:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
computer science
## Text domain (specific)
Software Development, R Programming Language, Data Analysis
## Rationale
The text appears to be a changelog for the pivottabler package in R, detailing v... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or verifying calculations. The te... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a chang... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text appears to be a changelog for the pivottabler package in R, detailing various updates, improvements, and bug fixes across different ver... | no | <count>0</count>. | The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears to be a changelog for the pivottabler package in R, detailing various updates, improvements, and bug fixes. There are no indicatio... | no | <count>0</count> | The provided text appears to be a changelog for the pivottabler package in R, detailing various updates, improvements, and bug fixes across different versions. It does not exhibit backward-chaining behavior, which involves working towards a goal by starting from the goal and reasoning backward to find a solution. The t... | no | <count>0</count>. | The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or verifying calculations. The text appears to be a changelog for the pivottabler package in R, detailing new features, improvements, bug fixes, and deprecated functions across ... | no | yes | computer science | Software Development, R Programming Language, Data Analysis | The text appears to be a changelog for the pivottabler package in R, detailing various updates, improvements, and bug fixes. It does not pose a specific problem but rather provides solutions and updates to existing functionality, making it a solution-oriented text. The domain is computer science, specifically software ... | What changes were made in the pivottabler version 1.5.0 related to empty cells? | <think>I need to find the section in the text that talks about version 1.5.0 and look for any changes related to empty cells. I'll look for the "Breaking Changes" section under version 1.5.0. I found the section, and it mentions a stricter definition of empty cells. It says that cells with NULL values are now also rega... |
http://khannay.com/JupyterNotebooks/UncertiantyCalcJulia.html | # How to do uncertainity calculations in Julia¶
First you will need to go to the website juliabox.com and register for an account. Once you have logged in to your account click on jupyter in the upper left corner. Then you should see a menu with files and such listed.
On the top right of the file menu you should see ... | 2019-05-21 04:35:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text is a step-by-step guide on how to perform uncertainty calculations in Julia. The writer presents a clear and linear sequence of instructions without any indication of back... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Computer Science and Programming (specifically, uncertainty calculations in Julia programming language)
## Rationale
The text does not describe a problem to be so... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The text provided is a tutorial on how to perform uncertainty calculations in Julia. It includes step-by-step instructions and examples, but it does not contain any explicit ve... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text is a tutorial on how to perform uncertainty calculations in Julia. It breaks down the process into smaller steps, such as setting up the Julia environm... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text provided is a step-by-step guide on how to perform uncertainty calculations in Julia. It starts with the initial steps of setting up a JuliaBox ... | no | <count>0</count>. | The provided text is a step-by-step guide on how to perform uncertainty calculations in Julia. The writer presents a clear and linear sequence of instructions without any indication of backtracking. There are no phrases or sentences that suggest the writer is abandoning a thought or approach and trying a different one,... | no | <count>0</count> | The text provided is a step-by-step guide on how to perform uncertainty calculations in Julia. It starts with the initial steps of setting up a JuliaBox account and installing the necessary package, then proceeds to demonstrate how to perform calculations with uncertain quantities. The text follows a linear and forward... | no | <count>0</count>. | The text provided is a tutorial on how to perform uncertainty calculations in Julia. It includes step-by-step instructions and examples, but it does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calculation. The... | no | yes | science | Computer Science and Programming (specifically, uncertainty calculations in Julia programming language) | The text does not describe a problem to be solved, but rather provides a step-by-step guide on how to perform uncertainty calculations in Julia. It includes setup instructions, code examples, and explanations of how to use the Measurements package in Julia. The text assumes the reader wants to learn how to do uncertain... | ||
http://research.ipmu.jp/seminar/?seminar_id=1819 | # MS Seminar (Mathematics - String Theory)
Speaker: Yoshihisa Saito (U Tokyo) On quantized elliptic algebras Tue, Feb 21, 2017, 15:30 - 17:00 Seminar Room B Let $\mathfrak{g}$ be a semisimple Lie algebra, and $\mathfrak{g}_{tor}$ the corresponding toridal Lie algebra. Namely, $\mathfrak{g}_{tor}$ is the universal cent... | 2017-02-28 07:34:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a formal announcement of a seminar presentation and does not contain any language that suggests the writer is abandoning ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Algebra, specifically String Theory and Lie Algebras
## Rationale
The text appears to be an announcement for a mathematics seminar, specifically focused on string th... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be an announcement for a mathematics seminar and does not contain any explicit verification steps, such as comparing results to known values or che... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be a seminar announcement for a mathematics talk on quantized elliptic algebras. It does not contain any explicit subgoal setting or steps t... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text appears to be a seminar announcement and a brief summary of the speaker's talk. It starts by introducing the topic and then explains the context... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. It is a formal announcement of a seminar presentation and does not contain any language that suggests the writer is abandoning a thought or approach and trying a different one. The text presents a clear and linear explanation of the topic, without any phrase... | no | <count>0</count> | The text appears to be a seminar announcement and a brief summary of the speaker's talk. It starts by introducing the topic and then explains the context and the main results that will be presented. The writer does not seem to be working backwards from a goal, but rather presenting information in a linear and logical m... | no | <count>0</count>. | The provided text appears to be an announcement for a mathematics seminar and does not contain any explicit verification steps, such as comparing results to known values or checking calculations. The text is primarily descriptive, introducing a topic and outlining the content of a presentation, without performing or de... | no | yes | math | Algebra, specifically String Theory and Lie Algebras | The text appears to be an announcement for a mathematics seminar, specifically focused on string theory and Lie algebras. It introduces a concept called "quantum elliptic algebras" and states that a presentation of quantum toroidal algebras by finitely many generators and relations will be given, which suggests a solut... | ||
http://zbmath.org/?q=an:1163.45010 | # zbMATH — the first resource for mathematics
##### Examples
Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "strai... | 2014-03-10 21:48:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 14, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a formal and structured presentation of mathematical concepts, definitions, and theorems, without any instances of the au... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Integrodifferential Equations, Functional Analysis
## Rationale
The text describes a specific mathematical problem, the nonlocal Cauchy problem for a nonlinear inte... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by checking the result of a ca... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a mathematical ... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text appears to be a mathematical article or a description of a mathematical resource, and it does not exhibit backward-chaining behavior. B... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. It is a formal and structured presentation of mathematical concepts, definitions, and theorems, without any instances of the author abandoning a thought or approach and trying a different one. The text follows a logical and sequential flow, presenting inform... | no | <count>0</count> | The provided text appears to be a mathematical article or a description of a mathematical resource, and it does not exhibit backward-chaining behavior. Backward chaining typically involves working backward from a goal to find a solution, but the text provided is primarily descriptive and explanatory, outlining the feat... | no | <count>0</count>. | The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by checking the result of a calculation. The text appears to be a mathematical description and explanation of a problem and its solution, including the use of specific theore... | yes | yes | math | Integrodifferential Equations, Functional Analysis | The text describes a specific mathematical problem, the nonlocal Cauchy problem for a nonlinear integrodifferential equation, and provides a solution by proving the existence of mild solutions using Schaefer's fixed point theorem. The text is filled with mathematical notation, equations, and technical terms specific to... | What methods are used to establish the existence of mild solutions for the nonlocal Cauchy problem of the nonlinear integrodifferential equation? | <think>I need to find the method used to prove the existence of mild solutions for the given problem. The text mentions that the authors first prove the continuity of the resolvent operator $R(t)$ in the uniform operator topology for $t>0$. Then, they use Schaefer’s fixed point theorem to establish the existence of mil... |
https://search.r-project.org/CRAN/refmans/eRm/html/RSmpl.html | RSmpl {eRm} R Documentation
Sample Objects
Description
The objects of class RSmpl and RSmplext contain the original input matrix, the generated (encoded) random matrices, and some information about the sampling process.
Value
A list of class RSmpl or RSmplext with components
n number of rows of the input matrix ... | 2023-03-23 08:12:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a formal documentation of RSmpl and RSmplext classes, describing their components, methods, and usage. The text presents ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
no
## Text domain (broad)
science
## Text domain (specific)
Computer Science, specifically R Programming and Statistical Sampling
## Rationale
The text appears to be documentation for R classes and functions related to stat... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of calcul... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be a documentation for R classes RSmpl and RSmplext, describing their components, methods, and usage. There is no evidence of explicit subgo... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text appears to be a documentation for R classes and functions, describing the components and methods of the classes RSmpl and RSmplext. The... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. It is a formal documentation of RSmpl and RSmplext classes, describing their components, methods, and usage. The text presents information in a linear and structured manner, without any instances of the writer abandoning a thought or approach and trying a di... | no | <count>0</count> | The provided text appears to be a documentation for R classes and functions, describing the components and methods of the classes RSmpl and RSmplext. The text is written in a straightforward and descriptive manner, explaining the purpose and behavior of the classes and functions. There is no evidence of backward-chaini... | no | <count>0</count>. | The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of calculations. The text appears to be descriptive, explaining the components and methods of classes RSmpl and RSmplext, and does not include any instan... | no | no | science | Computer Science, specifically R Programming and Statistical Sampling | The text appears to be documentation for R classes and functions related to statistical sampling, providing descriptions of object components, methods, and usage notes. There is no clear problem statement or proposed solution, but rather a technical explanation of how to use and interpret the output of certain R functi... |
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