url stringlengths 15 1.54k | text stringlengths 100 894k | date stringlengths 19 19 | metadata stringlengths 1.07k 1.1k | backtracking_raw stringlengths 349 1.44k | is_solution_raw stringlengths 358 1.45k | verification_raw stringlengths 288 1.49k | subgoal_setting_raw stringlengths 361 1.45k | backward_chaining_raw stringlengths 397 1.53k |
|---|---|---|---|---|---|---|---|---|
http://reliawiki.org/index.php/Non-Linear_Regression | # Non-Linear Regression
Non-Linear Regression
This example validates the results for a non-linear regression by using the Weibull++ Equation Fit Solver tool.
Reference Case
The data set is from Table 13.1 on page 515 in the book Applied Linear Statistical Models by Kutner, Nachtsheim, Neter, and Li, McGraw-Hill, 2... | 2022-01-24 22:20:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. The writer presents a clear and linear explanation of non-linear regression, provides a reference case, data, and results witho... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
math/science
## Text domain (specific)
Statistics, Non-Linear Regression
## Rationale
The text does not present a specific problem to be solved, but rather validates the results of a non-linear re... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
yes
## Number of answer verification steps
<count>1</count>.
## Rationale
The text describes a non-linear regression example where the results are validated by comparing them to a reference case from a book. The writer explicitly checks their work b... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
yes
## Number of answer verification steps
<count>1</count>.
## Rationale
The text describes a process where the results of a non-linear regression analysis are validated by comparing them to a reference case from a book. The reference case p... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text does not exhibit backward-chaining behavior. It appears to be a straightforward presentation of a non-linear regression example, where the autho... |
http://physics.stackexchange.com/questions/7540/how-would-i-go-about-detecting-monopoles | # How would I go about detecting monopoles?
A question needed for a "solid" sci-fi author: How to detect a strong magnetic monopole? (yes, I know no such thing is to be found on Earth).
Think of basic construction details, principles of operation and necessary components of a device capable of detecting/recognizing a... | 2015-05-26 06:09:29 | {"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": 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 text provided does not exhibit any explicit backtracking behavior where the writer realizes a path won't work and goes back to try a different approach. The conversation flows with diff... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Physics, specifically Electromagnetism and Magnetic Monopoles
## Rationale
The text discusses the concept of magnetic monopoles, their detection, and behavior, i... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain explicit verification steps where the writer checks their own work by comparing results to known values or checking calculations. The text pr... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
yes
## Number of answer verification steps
<count>5</count>.
## Rationale
The text contains several instances of subgoal setting, where the problem of detecting a magnetic monopole is broken down into smaller, intermediate goals. These includ... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>2</count>
## Rationale
The text exhibits backward chaining in two instances. The first instance is when the writer is trying to detect a magnetic monopole and starts by consid... |
https://paperscut.com/page/0 | # PapersCutA shortcut to recent security papers
### Arxiv
#### Temporal Phase Shifts in SCADA Networks
Authors: Chen Markman, Avishai Wool, Alvaro A. Cardenas
Abstract: In Industrial Control Systems (ICS/SCADA), machine to machine data traffic is highly periodic. Previous work showed that in many cases, it is possi... | 2018-08-16 17:43:16 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text appears to be a collection of abstracts from various research papers related to security and computer science. Upon reviewing the text, there is no evidence of backtrackin... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
computer science
## Text domain (specific)
Cybersecurity, specifically topics related to security threats, vulnerabilities, and mitigation strategies in various areas such as Industrial Control Sy... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be a list of abstracts from various research papers related to security and computer science. While the papers may discuss verification and validat... | <|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 abstracts from various research papers related to security and computer science. Upon reviewing the text, there is no evi... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text appears to be a collection of abstracts from various research papers related to security and computer science. Upon reviewing the text,... |
https://www.imath.kiev.ua/~sigma/2018/078/ | ### Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
SIGMA 14 (2018), 078, 34 pages arXiv:1704.00839 https://doi.org/10.3842/SIGMA.2018.078
### $t$-Unique Reductions for Mészáros's Subdivision Algebra
Darij Grinberg
School of Mathematics, University of Minnesota, 206 Church St. SE, Mi... | 2019-08-24 07:02:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a formal mathematical paper that presents a clear and structured argument, without any instances of the author realizing ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Algebra, specifically Commutative Algebra and Combinatorics
## Rationale
The text appears to be a mathematical research paper discussing the properties of a specific... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain explicit verification steps where the writer checks their own work by comparing results to known values or by checking the results of calcula... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a mathe... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text is a mathematical paper discussing the properties of a specific algebraic structure. The author presents a series of definitions, theor... |
http://mathhelpforum.com/algebra/88826-questions-driving-me-nuts.html | # Math Help - questions driving me nuts!!!
1. ## questions driving me nuts!!!
Hi i have 15 math question which i have been trying to solve but i dont seem to be able to do so..i really need these question solved as they are from a past mathematics questions book and i would be sitting for a math exam very soon.I AM N... | 2014-03-12 14:17:01 | {"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... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not contain any instances of backtracking behavior. The writer presents a list of math questions they are struggling with and asks for help, but does not attempt to s... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
no
## Text domain (broad)
math
## Text domain (specific)
Algebra, Trigonometry, and Calculus
## Rationale
The text contains a list of 15 math problems from various topics such as algebra, trigonometry, and calculus, indica... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be a list of math problems from a past mathematics questions book, along with a request for help in solving them. There is no evidence of the write... | <|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 list ... | <|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 list of math questions that the author is struggling to solve. The author is asking for help with these questions, but there is no... |
https://zbmath.org/authors/?q=rv%3A1565 | ## Shikata, Yoshihiro
Compute Distance To:
Author ID: shikata.yoshihiro Published as: Shikata, Yoshihiro; Shikata, Yoshihoro
Documents Indexed: 23 Publications since 1961 1 Contribution as Editor Reviewing Activity: 24 Reviews Co-Authors: 12 Co-Authors with 8 Joint Publications 160 Co-Co-Authors
all top 5
### Co-Au... | 2023-03-28 19:04:47 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It appears to be a biographical and bibliographical summary of the mathematician Shikata, Yoshihiro, including his publications... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
no
## Text domain (broad)
math
## Text domain (specific)
Differential Geometry, Algebraic Topology
## Rationale
The text appears to be a biographical summary of a mathematician, Yoshihiro Shikata, including their publicatio... | <|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 biographical and bibliographical summary of the mathematician Shikata, Yoshihiro, including his publications, co-authors, and citations. 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 biographical and bibliographical summary of a mathematician, Yoshihiro Shikata, including their publications, co-authors, and citations... | <|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 biographical and bibliographical summary of the mathematician Shikata, Yoshihiro, including his publications, co-author... |
http://openstudy.com/updates/5025c91ae4b0906b1afe3e73 | ## MathFreak106 2 years ago Find the period of the function f(x) = 3tan((pi(x))/2)
1. MathFreak106
I got 2 as my answer, but I just wanted to make sure it was right? :)
2. sauravshakya
yep u r correct
3. MathFreak106
thanks!
4. Calcmathlete
Is this the question? $f(x) = 3\tan\left[\frac{π}{2}x\right]$Just doubl... | 2015-07-03 10:50:52 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The conversation provided does not show any instance of backtracking behavior. The individuals involved are discussing and confirming the correctness of an answer to a math problem, but at ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Trigonometry, Periodic Functions
## Rationale
The text contains a mathematical function $f(x) = 3\tan\left[\frac{π}{2}x\right]$ and a question about finding its per... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
yes
## Number of answer verification steps
<count>2</count>.
## Rationale
The writer explicitly checks their own work in two instances. Firstly, MathFreak106 mentions "I got 2 as my answer, but I just wanted to make sure it was right? :)" which indi... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
yes
## Number of answer verification steps
<count>3</count>.
## Rationale
The text shows that MathFreak106 initially provides an answer to the problem (finding the period of the function f(x) = 3tan((pi(x))/2)) and then seeks verification of ... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text provided is a conversation between users discussing a math problem. The conversation revolves around verifying the answer to the problem, rather... |
https://labs.tib.eu/arxiv/?author=B.%20Ercolano | • Photoevaporation and close encounters: how the environment around Cygnus OB2 affects the evolution of protoplanetary disks(1605.01773)
May 5, 2016 astro-ph.GA, astro-ph.SR
In our Galaxy, star formation occurs in a variety of environments, with a large fraction of stars formed in clusters hosting massive stars. OB st... | 2021-03-03 23:13:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text 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?
no
## Text domain (broad)
science
## Text domain (specific)
Astrophysics, specifically star formation and planetary disk evolution
## Rationale
The text appears to be a collection of abstracts from scientific papers related... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain explicit verification steps where the writer checks their own work by comparing results to known values or by checking the result of a calcul... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text appears to be a collection of abstracts from various astrophysics research papers. Upon examining the text, there is no evidence of bac... |
https://economics.stackexchange.com/questions?tab=active&pagesize=50 | # All Questions
11,665 questions
Filter by
Sorted by
Tagged with
27 views
70 views
### Why so many suppliers of inexpensive ordinary products
There are a very large number of suppliers of common, inexpensive products, and I am wondering why a few large companies don't simply provide all the supply? I am not thinkin... | 2021-05-18 23:28:59 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text appears to be a list of questions from a Q&A forum, with each question being a separate entity. There is no narrative or problem-solving process where the writer would nee... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
no
## Text domain (broad)
economics
## Text domain (specific)
Microeconomics, Econometrics, and Industrial Economics
## Rationale
The text appears to be a collection of questions related to economics, with topics ranging f... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be a list of questions from an online forum or discussion board, with various topics related to economics and statistics. Upon reviewing the text, ... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be a list of questions from a Q&A forum, with various topics related to economics, statistics, and mathematics. There is no evidence of expl... | <|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 questions from a Q&A forum, with each question presenting a distinct problem or inquiry. Upon examining t... |
http://www.ridgerat-tech.us/tech/Kalman/Ch19/SysTransforms1-19.html | # Restructuring State Models
Developing Models for Kalman Filters
In earlier installments, we mentioned that state transition models were not unique. While sometimes this causes problems, it also provides some extra degrees of freedom that can be used to restructure the state transition model, without changing any ex... | 2017-08-19 17:00:06 | {"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... | <|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 approach to explaining state transition models and transformations, without abandoni... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
math/science
## Text domain (specific)
Signal Processing, State Space Models, Kalman Filters
## Rationale
The text discusses the concept of restructuring state models, specifically in the context ... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
yes
## Number of answer verification steps
<count>2</count>.
## Rationale
The writer explicitly checks their own work in two instances. The first instance is when they verify that the inverse of a diagonal scaling matrix is trivial, although this is... | <|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 for the purpose of answer verifi... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>2</count>
## Rationale
The text exhibits backward chaining in two instances. The first instance is in the section "An output observation transformation" where the goal is to d... |
http://www.maa.org/publications/periodicals/convergence/how-tartaglia-solved-the-cubic-equation-tartaglias-poem?device=mobile | # How Tartaglia Solved the Cubic Equation - Tartaglia's Poem
Author(s):
Friedrich Katscher
Tartaglia divulged to Hieronimo Cardano (1501-1576) the solution of the three cubic equations without the quadratic term on March 25, 1539 in Cardano's house in Milano in the form of a famous poem (translated here by the author... | 2015-02-02 03:03:25 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 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 text provided is a historical and mathematical explanation of how Tartaglia solved the cubic equation, presented in the form of a poem with additional commentary. The writer presents a ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Algebra, specifically the solution of cubic equations
## Rationale
The text describes the solution to cubic equations without a quadratic term, as provided by Tarta... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text is a historical account of how Tartaglia solved the cubic equation and is written in a poetic form. It describes the steps to solve the equation but does not ... | <|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 historical account of how Tartaglia solved the cubic equation and is presented in the form of a poem with explanatory notes. The poem itself outli... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>2</count>
## Rationale
The text exhibits backward-chaining behavior in two instances. The first instance is in the explanation of Tartaglia's poem, where the author starts wit... |
https://brilliant.org/problems/just-a-right-trianglehuh/?group=6hpICdLQvffk | # Just a right triangle.
In the right triangle above, a height is drawn to the hypotenuse. Find $x+y+z.$
× | 2022-11-29 15:40:49 | {"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... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not contain any instances of backtracking behavior. It appears to be a straightforward mathematical problem statement without any indication of the writer abandoning ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
no
## Text domain (broad)
math
## Text domain (specific)
Geometry, specifically right triangles and similar triangles or trigonometry
## Rationale
The text mentions a "right triangle" and asks to "Find $x+y+z$", which indi... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any calculations, results, or comparisons to known values. It appears to be a problem statement for a geometric problem involving a right tri... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting or steps to break down the problem into smaller, intermediate goals. It simply presents a geometric probl... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text does not contain any backward-chaining behavior. It appears to be a mathematical problem statement, presenting a right triangle with a ... |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 15