url stringlengths 17 508 | text stringlengths 100 962k | date stringlengths 19 19 | metadata stringlengths 1.07k 1.1k | backtracking_raw stringlengths 255 1.45k | is_solution_raw stringlengths 389 1.47k | verification_raw stringlengths 268 1.56k | subgoal_setting_raw stringlengths 136 1.45k | backward_chaining_raw stringlengths 79 1.53k |
|---|---|---|---|---|---|---|---|---|
https://geo.libretexts.org/Courses/University_of_California_Davis/GEL_056%3A_Introduction_to_Geophysics/Geophysics_is_everywhere_in_geology.../00%3A_Front_Matter/Supporting_Topics | # Supporting Topics
The section numbers below refer to sections in other LibreTexts Books. The links will open in a new window.
## Math / Calculus
Arctan vs Arctan2
Converting Radians to Degrees and vice versa
Vector Components
• 8.8 Vectors (Overview of Vectors, see the portion on Vector Components)
## Physics... | 2022-09-25 20:22:34 | {"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": 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 list of topics related to math and physics, with links to other sections in LibreTexts Books. There is no nar... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
no
## Text domain (broad)
math/science
## Text domain (specific)
Calculus and Physics
## Rationale
The text appears to be a list of supporting topics, providing links to other sections in LibreTexts Books, specifically in t... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the results of calcul... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting or answer verification steps. It appears to be a list of topics or sections from other LibreTexts Books, ... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text appears to be a list of topics and sections from a textbook, with links to relevant resources. There is no evidence of backward-chainin... |
https://en.wikipedia.org/wiki/Singly_and_doubly_even | # Singly and doubly even
In mathematics an even integer, that is, a number that is divisible by 2, is called evenly even or doubly even if it is a multiple of 4, and oddly even or singly even if it is not. (The former names are traditional ones, derived from the ancient Greek; the latter have become common in recent d... | 2021-06-21 23:58:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 12, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a formal and structured article about mathematics, specifically discussing the concepts of singly and doubly even numbers... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
no
## Text domain (broad)
math
## Text domain (specific)
Number Theory, specifically the concept of even integers and their classification into singly and doubly even numbers.
## Rationale
The text provides a detailed expla... | <|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 in the section "Irrationality of the square root of 2" where the writer uses the 2-order va... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be an info... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning ... |
https://docs.generic-mapping-tools.org/6.1/grdimage.html | # grdimage¶
Project and plot grids or images
## Synopsis¶
gmt grdimage grd_z | img | grd_r grd_g grd_b [ -Aout_img[=driver] ] [ -B[p|s]parameters ] [ -Ccpt ] [ -D[r] ] [ -E[i|dpi] ] -Jparameters [ -Gcolor[+b|f] ] [ -I[intensfile|intensity|modifiers] ] [ -M ] [ -N ] [ -Q ] [ -Rwest/east/south/north[/zmin/zmax][+r][+u... | 2020-11-25 23:06:36 | {"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": 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?
no
## Text domain (broad)
science
## Text domain (specific)
Geographic Information Systems (GIS) and Cartography
## Rationale
The text appears to be a documentation or manual for a command-line tool called `grdimage` used 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 any explicit verification steps where the writer checks their own work by comparing results to known values or checking calculations. The tex... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a docum... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text is a technical description of the `grdimage` command and its various options, parameters, and usage. It does not exhibit backward-chain... |
http://www.math.cmu.edu/PIRE/pub/publication.php?Publication=120 | # Science at the triple point between mathematics, mechanics and materials science
## Publication 120
### Regularity In Time for Weak Solutions of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces
##### Authors:
Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pi... | 2017-11-22 20:20:43 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a formal academic publication abstract and does not contain any language that suggests the author is abandoning a thought... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math/science
## Text domain (specific)
Materials Science and Mathematics, specifically Epitaxial Growth and Continuum Modeling
## Rationale
The text describes a specific mathematical model for ep... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be an abstract for a mathematical research paper and does not contain any explicit verification steps. The authors discuss the existence, uniquenes... | <|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 abstract for... | <|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 publication abstract and does not exhibit backward-chaining behavior. Backward chaining typically involves working towa... |
https://chemistry.stackexchange.com/questions/48910/if-i-have-an-alloy-of-two-materials-will-i-have-a-chemical-reaction-between-the?noredirect=1 | # If I have an alloy of two materials, will I have a chemical reaction between the two materials
I have always been told that an alloy is a mixture without chemical interference between the materials, but if I look at highly doped silicon (doped with Aluminum via ion implantation and then lattice stabilized via anneal... | 2019-07-19 08:37:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The text provided is a discussion between two individuals about alloys and chemical reactions. The conversation flows logically, with the original poster asking a question, receiving a resp... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Materials Science, specifically Alloy Formation and Chemical Reactions
## Rationale
The text discusses the concept of alloys and whether a chemical reaction occu... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The conversation is primarily a qu... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text provided is a discussion about alloys and chemical reactions between materials in an alloy. The writer is seeking clarification on whether a spe... |
https://www.shaalaa.com/question-bank-solutions/the-relation-f-defined-relation-g-defined-show-that-f-function-g-not-function-relation_13313 | # The Relation F is Defined by and the Relation G is Defined by Show that F is a Function and G is Not a Function. - Mathematics
Sum
The relation f is defined by f(x) = {(x^2,0<=x<=3),(3x,3<=x<=10):}
The relation g is defined by g(x) = {(x^2, 0 <= x <= 2),(3x,2<= x <= 10):}
Show that f is a function and g is not a... | 2021-02-25 08:30:38 | {"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... | <|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 solution to the problem, first showing that relation f is a function and then demonstrat... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Relations and Functions
## Rationale
The text provides a problem to determine whether two given relations, F and G, are functions or not. It then provides a step-by... | <|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, for the relation f, they verify that at x = 3, f(x) = 9, which is consistent with both definitions of f(... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
yes
## Number of answer verification steps
<count>2</count>.
## Rationale
The solution breaks down the problem into smaller, intermediate goals to verify whether the relations F and G are functions. The two subgoal steps are:
1. Verify that ... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>2</count>
## Rationale
The text exhibits backward-chaining behavior in two instances. Firstly, when showing that relation f is a function, the writer starts with the definitio... |
https://www.physicsforums.com/threads/transmission-line-leakage-current-differential-equation.957123/ | # Transmission line: leakage current differential equation
## Homework Statement
I have a coaxial cable with internal conductor of radius r1 and external conductor of radii r2 and r3. The material of the conductors has a conductivity ##\sigma_1##. Between the conductors there is a imperfect dielectric of conductivity... | 2021-03-09 04:23:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The writer presents a problem and their attempt at a solution, and then asks for help with a specific step in the derivation. While the writer expresses frustration and mentions being "stuc... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
no
## Text domain (broad)
science
## Text domain (specific)
Electrical Engineering, specifically Transmission Lines and Electromagnetism
## Rationale
The text describes a specific problem related to transmission lines, inv... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a homework problem ... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>1</count>
## Rationale
The writer starts with the goal of determining the evolution of the cable current intensity along z and works backward from the fundamental equation div... |
https://www.mail-archive.com/ntg-context@ntg.nl/msg41236.html | # Re: [NTG-context] presentation (simple-slides?) master-like feature?
On Wed, 28 Oct 2009, Bruce D'Arcus wrote:
<li class="slide title">
<h1>Test Slide Show</h1>
</li>
should be translated to
\setupTitle[title="Test Slide Show",author=,date=]
\placeTitle
Well, except that I want the option to have this sor... | 2022-08-16 09:29:49 | {"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... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The writer does not exhibit any backtracking behavior in the provided text. They present a problem, propose a solution, and discuss its limitations, but do not abandon a thought or approach... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
computer science
## Text domain (specific)
Markup Languages and Typesetting (TeX, Context)
## Rationale
The text discusses a specific issue with translating HTML code into TeX code for presentati... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of a calc... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a discussion ab... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>2</count>
## Rationale
The text exhibits backward-chaining behavior in two instances. Firstly, the writer starts with the desired outcome of having a "master-like feature" for... |
https://www.math.princeton.edu/events/absolute-continuity-and-rectifiability-harmonic-measure-2015-11-16t201511 | # Absolute continuity and rectifiability of harmonic measure
-
Svitlana Mayboroda , University of Minnesota
Fine Hall 224
Please note special location. The properties of harmonic measure (most importantly, absolute continuity and rectifiability) are key to many problems in Analysis, Probability, Geometric Measure T... | 2018-07-21 02:18:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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 formal announcement or abstract for a talk, presenting a clear and structured overview of the topic without ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Analysis, Geometric Measure Theory, Partial Differential Equations (PDEs)
## Rationale
The text mentions "problems in Analysis, Probability, Geometric Measure Theor... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be an abstract or introduction to a mathematical talk, and it does not contain any explicit verification steps. The text presents a topic and outli... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be an abstract for a mathematical talk, and it does not contain any explicit subgoal setting or answer verification steps. The text outlines... | <|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 an abstract for a mathematical talk, outlining the main topics and results to be presented. The author starts by introduc... |
https://en.wikipedia.org/wiki/Talk:Supercritical_fluid | # Talk:Supercritical fluid
WikiProject Physics (Rated B-class, Mid-importance)
This article is within the scope of WikiProject Physics, a collaborative effort to improve the coverage of Physics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a li... | 2017-10-18 05:48:51 | {"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 text provided is a collection of comments and discussions from Wikipedia editors regarding the article on Supercritical fluid. While there are instances where editors point out errors, ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
no
## Text domain (broad)
science
## Text domain (specific)
Physics, specifically Thermodynamics and Properties of Fluids
## Rationale
The text appears to be a collection of discussions and comments from Wikipedia editors ... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
yes
## Number of answer verification steps
<count> 3 </count>.
## Rationale
The text contains several instances where the writers explicitly check their own work or the work of others. For example, in the "mislabeled vertical axis?" section, the wri... | <|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 discussions and edits from a Wikipedia talk page about the topic of supercritical fluids. While there are various comment... | <|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 comments and discussions from Wikipedia editors regarding the article on "Supercritical fluid". Upon revi... |
https://brilliant.org/discussions/thread/complex-problem-on-complex-numbers/ | # Complex problem on complex numbers!
If a complex number z satisfies the equation $$z + \sqrt{2}|z+1| + i = 0$$ , then |z| is equal to (where i is the imaginary number) a) 1 b) 2 c) $$\sqrt{5}$$ d) $$\sqrt{3}$$
Note by Srujana Rao Yarasi
5 years, 4 months ago
MarkdownAppears as
*italics* or _italics_ italics
**bold... | 2018-09-25 12:08:20 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. The writer and commenters present their thoughts and solutions to the problem in a straightforward manner, without explicitly a... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Complex Numbers
## Rationale
The text presents a complex equation involving a complex number z and asks for the value of |z|. The equation is $$z + \sqrt{2}|z+1| + ... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a ca... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The comments section includes discussions ... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>2</count>
## Rationale
The text exhibits backward chaining in two instances. The first instance is when a user comments "i think the answer is $$\sqrt{5}$$" and then another u... |
https://atakua.org/w/landcover-conflation-practical-issues.html | ## Land cover conflation. Practical issues
This is the third part of summarizing my experience with conflation of land cover data for Sweden. More examples of practical problems and ways to address them follow.
The same or similar problems may or may not arise during other imports of closed (multi)polygons in the fut... | 2020-07-14 03:47:10 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The text does not exhibit any explicit backtracking behavior, where the writer realizes a path won't work and goes back to try a different approach. The writer presents various challenges a... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Geographic Information Systems (GIS) and Cartography, specifically land cover data conflation and OpenStreetMap (OSM) data import
## Rationale
The text discusses... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a discu... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>5</count>
## Rationale
The text exhibits backward chaining in several instances where the author starts with a goal or a problem and works backward to find a solution or expla... |
http://mathhelpforum.com/calculus/118737-integral-improper-fraction.html | # Thread: integral with improper fraction
1. ## integral with improper fraction
The integral of $x^3/\sqrt(1+x)$
How do you start this integral since it is an improper fraction. I tried squaring the top and bottom, but that didn't seem to work. What else should I try
2. Originally Posted by stevo970
The integral of... | 2017-06-29 04:29:10 | {"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": 11, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
yes
## Number of backtrack steps
<count>2</count>.
## Rationale
The writer exhibits backtracking behavior in two instances. Firstly, in the initial post, the writer mentions "I tried squaring the top and bottom, but that didn't seem to work. What else ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Calculus, specifically Integration Techniques
## Rationale
The text discusses an integral with an improper fraction, and the user is seeking help on how to start so... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain explicit subgoal setting where the problem is broken down into smaller, intermediate goals for the purpose of answer verification. Ins... | <|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 occurs when the writer is trying to solve the integral of $x^3/\sqrt(1... |
https://search.datacite.org/works/10.4230/LIPICS.STACS.2010.2465 | ### Long Non-crossing Configurations in the Plane
Adrian Dumitrescu & Csaba D. Tóth
We revisit several maximization problems for geometric networks design under the non-crossing constraint, first studied by Alon, Rajagopalan and Suri (ACM Symposium on Computational Geometry, 1993). Given a set of $n$ points in the pl... | 2017-11-18 20:46:39 | {"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... | <|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 introduction to a mathematical problem and presents a clear, straightforward explanation of the topic without an... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Computational Geometry
## Rationale
The text mentions "maximization problems" and "compute a longest non-crossing configuration", indicating the presence of a probl... | <|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 or answer verification steps. It appears to be an introduction to a research paper on geometric networks ... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text does not exhibit backward-chaining behavior. It appears to be an introduction to a research paper, where the authors are presenting the... |
https://blender.stackexchange.com/questions/177360/blender-api-python-split-body-by-loose-parts | # Blender API Python split body by loose parts
I'm trying to make a python script that splits alot of objects into its loose parts and i actually have gotten this to work but i encountered a bug that i don't fully understand and thus come to you to help me out!
I have the following code to manipulate each object that... | 2021-07-29 10:11:58 | {"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?
yes
## Number of backtrack steps
<count>2</count>.
## Rationale
The writer initially tries to split the objects into loose parts, but encounters a bug where only the last object is split. They then try copying the list, which makes it more buggy. After... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
computer science
## Text domain (specific)
Blender API and Python scripting for 3D modeling
## Rationale
The text describes a problem with a Python script used to split objects into loose parts 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 any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
yes
## Number of answer verification steps
<count>2</count>.
## Rationale
The original code had a bug where only the last object in the list was being split into its loose parts. The user tried various methods to troubleshoot the issue, inclu... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>1</count>
## Rationale
The writer of the code is trying to achieve a goal of splitting objects into loose parts, but they start from the end result (the bug where only the las... |
https://murray.cds.caltech.edu/index.php?title=CDS_110b:_Robust_Stability&diff=prev&oldid=5831 | # Difference between revisions of "CDS 110b: Robust Stability"
This set of lecture describes how to model uncertainty in $$H_\infty$$ control and provides conditions for checking robust stability in this framework. | 2021-11-30 11:49:57 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a brief introduction to a set of lectures on modeling uncertainty in $H_\infty$ control and does not contain any phrases ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Control Theory, specifically Robust Control and H-infinity control
## Rationale
The text does not explicitly state a problem but rather describes a set of lecture... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text is a brief introduction to a set of lectures on robust stability in the context of $H_\infty$ control. It does not contain any calculations, results, or compa... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting or steps for answer verification. It appears to be a brief introduction to a set of lectures on robust st... | <|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 brief description of a set of lectures and does not contain any reasoning or problem-solving that would indicate backward-chaining... |
https://tarungehlots.blogspot.com/2014/08/chapter-22-introduction-to-probability.html | Thursday, 7 August 2014
chapter-22 Introduction to Probability Distributions
One of the most important probability distributions at this level is the Binomial distribution, which is the subject of this article.
Binomial distributions occur in relation to those experiments that are binary in nature, i.e., whose outcom... | 2018-11-17 04:48:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 38, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The text provided does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of the Binomial distribution, starting with its definition, providing ex... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Probability and Statistics, specifically Binomial Distribution
## Rationale
The text does not present a specific problem to be solved, but rather provides an introdu... | <|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 an educa... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>1</count>
## Rationale
The text exhibits backward chaining when the author starts with the goal of understanding how the word "binomial" comes up in relation to Bernoulli tria... |
http://commons.apache.org/proper/commons-math/apidocs/org/apache/commons/math3/ode/nonstiff/EmbeddedRungeKuttaIntegrator.html | org.apache.commons.math3.ode.nonstiff
## Class EmbeddedRungeKuttaIntegrator
• All Implemented Interfaces:
FirstOrderIntegrator, ODEIntegrator
Direct Known Subclasses:
DormandPrince54Integrator, DormandPrince853Integrator, HighamHall54Integrator
public abstract class EmbeddedRungeKuttaIntegrator
extends AdaptiveSteps... | 2015-04-19 04:41:50 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text is a Java documentation for the EmbeddedRungeKuttaIntegrator class, which is used for solving ordinary differential equations. The text describes the class's methods, fiel... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Numerical Analysis, Ordinary Differential Equations
## Rationale
The text appears to be a documentation of a Java class `EmbeddedRungeKuttaIntegrator` which is us... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
yes
## Number of answer verification steps
<count>1</count>.
## Rationale
The text contains a verification step in the `estimateError` method, where the error ratio is computed and compared to a threshold (implicitly greater than 1) to determine if ... | <|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 Java class documentation for an embedded Runge-Kutta integrator, which is a numerical method for solving ordinary differential equations. The text... | <|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 Java class documentation for an embedded Runge-Kutta integrator, which is a numerical method for solving ordinary differential equ... |
https://quantumcomputing.stackexchange.com/tags/adiabatic-model/hot | # Tag Info
13
In adiabatic QC, you encode your problem in a Hamiltonian such that your result can be extracted from the ground state. Preparing that ground state is hard to do directly, so you instead prepare the ground state of an 'easy' Hamiltonian, and then slowly interpolate between the two. If you go slow enough... | 2019-05-26 01:11:39 | {"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": 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 contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Quantum Computing, Quantum Annealing, Adiabatic Quantum Computation
## Rationale
The text discusses various concepts related to quantum computing, such as adiaba... | <|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?
yes
## Number of backward chaining instances
<count>8</count>
## Rationale
The text exhibits backward-chaining behavior in several instances, where the writer starts from a goal or a concept and works backward to explain or jus... |
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