url stringlengths 14 1.15k | text stringlengths 101 655k | date stringlengths 19 19 | metadata stringlengths 1.07k 1.1k | backtracking_raw stringlengths 288 1.46k | is_solution_raw stringlengths 218 1.49k | verification_raw stringlengths 122 1.54k | subgoal_setting_raw stringlengths 342 1.4k | backward_chaining_raw stringlengths 86 1.55k |
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https://roselearnstocode.com/md11-css-grid-layout/ | M1D11: CSS Grid Layout
Difference between Flexbox and Grid
Flexbox – one dimensional. It aligns content and distributes space along a single axis, either a row or a column.
Grid – two dimensional. Lets you control the sizing, positioning, and spacing of rows and columns at the same time. When you declare a grid both... | 2023-03-30 20:57:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The text provided is a straightforward explanation of CSS Grid Layout, its differences with Flexbox, and its various properties. The writer presents a clear and organized structure, definin... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
computer science
## Text domain (specific)
Web Development, CSS Grid Layout
## Rationale
The text provides a detailed explanation of CSS Grid Layout, its differences with Flexbox, and how to defin... | <|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 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 is an informative article about CSS Grid Layout, explaining the differences between Flexbox and Grid, and detailing the various element... |
https://physics.stackexchange.com/questions/394326/difference-of-vacuum-states | # Difference of vacuum states
Why the vacuum state $|0\rangle$ of a free field theory different from the vacuum state $|\Omega\rangle$ of an interacting theory?
I found this statement in Peskin & Schroeder at section 4.2 | 2019-10-17 21:19:10 | {"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": 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
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<count>0</count>.
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The provided text does not exhibit any backtracking behavior. The writer presents a question and references a source (Peskin & Schroeder) without abandoning a thought or trying a different ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
no
## Text domain (broad)
science
## Text domain (specific)
Quantum Field Theory
## Rationale
The text asks a question about the difference between two vacuum states in different theoretical contexts, indicating a problem ... | <|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>.
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## 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 with a question about the difference between two vacuum states and references a specific ... |
https://questions.examside.com/past-years/jee/question/a-cube-is-placed-inside-an-electric-field-overrightarrow-jee-main-physics-units-and-measurements-aj9wpj93vr4xzoy5 | 1
JEE Main 2021 (Online) 1st September Evening Shift
MCQ (Single Correct Answer)
+4
-1
A cube is placed inside an electric field, $$\overrightarrow E = 150{y^2}\widehat j$$. The side of the cube is 0.5 m and is placed in the field as shown in the given figure. The charge inside the cube is :
A
3.8 $$\times$$ 10$$-$$11... | 2023-03-21 05:17:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
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no
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<count>0</count>.
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The provided text does not contain any instances of backtracking behavior. The text appears to be a collection of multiple-choice questions from an exam, with no narrative or problem-solvin... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
no
## Text domain (broad)
science
## Text domain (specific)
Physics, specifically Electricity
## Rationale
The text appears to be a collection of multiple-choice questions from the JEE Main 2021 exam, focusing on physics a... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text appears to be a collection of multiple-choice questions from the JEE Main 2021 exam, along with some additional information about the exam and its subjects. T... | <|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 multiple-choice questions from the JEE Main 2021 exam, covering various topics in physics. There is no evidence of explic... | <|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 multiple-choice questions from the JEE Main 2021 examination, covering various topics in physics. Upon re... |
http://www.chegg.com/homework-help/questions-and-answers/projected-electric-vehicle-makes-use-storage-batteries-source-energy-mass-1560-rm-kg-power-q945868 | A projected electric vehicle makes use of storage batteries as its source of energy. Its mass is 1560 {\rm kg} and it is powered by 24 batteries, each 12 {\rm V}, 90 A \cdot h. Assume that the car is driven on level roads at an average speed of 40 km/h, and the average friction force is 240 N. Assume 100% efficiency an... | 2015-05-05 12:04:29 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>
## Rationale
The provided text does not exhibit any backtracking behavior. It presents a problem and provides the necessary information to solve it in a straightforward manner, without the writer abandon... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
no
## Text domain (broad)
science
## Text domain (specific)
Physics, specifically Energy and Transportation
## Rationale
The text presents a scenario with specific details about an electric vehicle, its energy source, and ... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. It presents a problem and provides the necessar... | <|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 it starts with the goal of determining how many kilometers the batteries will last before needing to be recharg... |
https://codereview.stackexchange.com/questions/79705/premium-palindromic-primes | # Premium palindromic primes
Challenge: Write a program which determines the largest prime palindrome less than 1000.
The answer is 929, and my program correctly finds and prints this, but actually ended up being more complex than I expected.
I'd like a general review, but also want to pinpoint if
1. I'm overdoing ... | 2019-08-25 03:35:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. The writer presents a problem, provides a solution, and then receives feedback on how to improve the solution. The feedback inc... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
computer science
## Text domain (specific)
Programming, Algorithm Optimization, Prime Numbers, Palindromes
## Rationale
The text discusses a programming challenge to find the largest prime palind... | <|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, they compare the result of their program to a known value, stating "The answer is 929, and my program co... | <|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 code r... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>2</count>
## Rationale
The text exhibits backward-chaining behavior in two instances. Firstly, the writer starts with the goal of finding the largest prime palindrome less tha... |
http://clay6.com/qa/23992/a-fair-die-is-tossed-eight-times-the-probability-that-a-third-six-is-observ | Comment
Share
Q)
# A fair die is tossed eight times. The probability that a third six is observed on the eight throw is
$\begin {array} {1 1} (A)\;\large\frac{7C_2 \times 5^5}{6^7} & \quad (B)\;\large\frac{7C_2 \times 5^5}{6^8} \\ (C)\;\large\frac{7C_2 \times 5^5}{6^6} & \quad (D)\;None\: of \: these \end {array}$
R... | 2019-09-20 16:17:37 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The text provided is a mathematical solution to a probability problem and does not exhibit any backtracking behavior. The writer presents a straightforward calculation to find the required ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Probability
## Rationale
The text contains a problem about calculating the probability of a specific event (observing a third six on the eighth throw of a fair die)... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of a calcula... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
yes
## Number of answer verification steps
<count>1</count>.
## Rationale
The problem requires finding the probability that a third six is observed on the eighth throw of a fair die. The solution involves calculating this probability using co... | <|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 in the calculation of the required probability. The writer starts with the goal of finding the probability that a th... |
https://math.stackexchange.com/questions/2499234/ideal-generated-by-a-finite-number-of-polynomials | # Ideal Generated by a Finite Number of Polynomials?
Background
I have been confused about a particular definition in the textbook for my abstract algebra class, Ideals, Varieties, and Algorithms by Cox, Little, and O'Shea. It is frustrating because I feel that I have a partial grasp on what the definition is trying ... | 2021-06-25 05:13:58 | {"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": 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 writer of the text does not exhibit backtracking behavior. They present their understanding and confusion about a definition from their abstract algebra textbook, and then others provid... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Abstract Algebra, specifically Ideal Theory in Polynomial Rings
## Rationale
The text discusses a concept from abstract algebra, specifically ideals in polynomial r... | <|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 text appears to be a discussio... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text does not exhibit backward-chaining behavior. The writer is trying to understand a definition from their abstract algebra textbook and is seeking... |
http://dbwz.powerhostnet.de/find-peaks-in-histogram-python.html | Find Peaks In Histogram Python
I want to find highest three peaks of the histogram and find its location to feed as input. If the shape looks like a bell curve, it would mean that the frequencies are equally distributed. polyfit(t,dexp,derr,2) You could also have done: In [54]: fitp=B. Hy, you need help regarding hist... | 2021-04-18 15:06:43 | {"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 "Find Peaks In Histogram Python" does not contain any backtracking behavior. It appears to be a title or a prompt for a programming task, and there is no evidence of the w... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Data Analysis and Programming (Python)
## Rationale
The text "Find Peaks In Histogram Python" suggests that the problem is related to identifying peaks in a hist... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text "Find Peaks In Histogram Python" does not contain any verification steps. It appears to be a topic or a task rather than a passage that includes steps or calc... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text "Find Peaks In Histogram Python" is a brief query or topic title and does not contain any explicit subgoal setting or step-by-step breakdown of a 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 "Find Peaks In Histogram Python" appears to be a search query or a problem statement rather than a passage of text that exhibits reason... |
https://cs.stackexchange.com/questions/154681/graph-isomorphism-problem-decisional-vs-functional | # Graph Isomorphism Problem: decisional vs functional
The Graph Isomorphism Problem is a classic in Computer Science.
In its decision version $$(DGI)$$, we are given two graphs $$G$$ and $$H$$ and we are asked if there exists an isomorphism between the two. In its function version $$(FGI)$$, we want to produce in out... | 2022-11-28 18:19:55 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The text provided does not exhibit any backtracking behavior. The writer presents a clear and structured approach to solving the problem, outlining the decision and function versions of the... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
computer science
## Text domain (specific)
Graph Theory and Computational Complexity
## Rationale
The text discusses the Graph Isomorphism Problem, a classic problem in Computer Science, and its ... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
yes
## Number of answer verification steps
<count>1</count>.
## Rationale
The writer explicitly checks their own work by claiming that "if an isomorphism exists, then this algorithm finds one" and providing a rationale for the correctness of the alg... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
yes
## Number of answer verification steps
<count>5</count>.
## Rationale
The text contains a step-by-step approach to solving the function version of the Graph Isomorphism Problem (FGI) using a black box that solves the decision version (DGI... | <|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 in the explanation of how to solve the functional version of the Graph Isomorphism Problem (FGI) using a black box t... |
https://2022.help.altair.com/2022/hwsolvers/os/topics/solvers/os/element_check_ctetra_r.htm | CTETRA Element Checks and Default Bound Values
CTETRA 1st-order (4-noded) Element Checks
The following qualities of the CTETRA 1st-order element are checked:
Aspect Ratio
The aspect ratio of a CTETRA 1st-order element is defined as the maximum of the aspect ratio of its four triangular faces. Each face is treated as ... | 2022-11-30 17:51:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 2, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a straightforward, technical description of the CTETRA element checks and default bound values, with no instances of the ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
no
## Text domain (broad)
science
## Text domain (specific)
Engineering/Finite Element Analysis
## Rationale
The text appears to be a technical description of the checks and default bound values for CTETRA elements in finit... | <|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 techn... | <|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 CTETRA element checks and default bound values. It presents a series of definitions, formulas, and de... |
http://chronicle.com/blognetwork/castingoutnines/tag/kindle/ | # Tag Archives: Kindle
September 29, 2011, 4:20 pm
# Will the Fire burn its way into higher ed?
http://www.flickr.com/photos/ichibod/
In case you didn’t hear, Amazon has announced a major upgrade to the entire line of Kindle devices, including a new 7″ tablet device called the Kindle Fire. The Fire won’t be release... | 2015-03-03 18:51:14 | {"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 instances of backtracking behavior. The writer presents their thoughts and opinions on the Amazon Kindle in a linear and cohesive manner, without aban... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
technology
## Text domain (specific)
E-book readers and education technology
## Rationale
The text discusses the Amazon Kindle and its potential use in higher education, highlighting several prob... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or checking the outcome of a calc... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>2</count>
## Rationale
The text exhibits backward chaining in two instances. The first instance is in the post "Nine ways to fix the Amazon Kindle" (November 26, 2007), where ... |
https://mattermodeling.stackexchange.com/questions/4387/why-are-norm-conserving-pseudopotentials-considered-so-important | # Why are Norm-conserving Pseudopotentials considered so important?
So I am aware that a norm-conserving pseudopotential enforces the conditions that:
Inside the cut-off radius, the norm of each pseudo-wavefunction is identical to its corresponding all-electron wavefunction and all-electron and pseudo wavefunctions a... | 2021-08-05 11:56:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The writer does not exhibit any backtracking behavior in the provided text. They present their understanding of norm-conserving pseudopotentials, pose a question, and then provide explanati... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Physics of Materials Science, specifically Computational Materials Science and Quantum Mechanics
## Rationale
The text discusses the importance of norm-conservin... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The text does not contain explicit verification steps where the writer checks their own work by comparing results to known values or checking calculations. The writer presents ... | <|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 an explanation of w... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>2</count>
## Rationale
The text exhibits backward-chaining behavior in two instances. Firstly, the writer starts with the goal of understanding why norm-conserving pseudopoten... |
https://www.spandanamblog.com/2021/10/plus-one-physics-chapter-15-waves-question-and-answers.html | # Spandanam | സ്പന്ദനം | spandanamnews.blogspot.com | Spandanam News| Spandanamblog.com
## Plus One Physics Chapter 15 Waves Question and Answers PDF Download
Plus One Physics Chapter 15 Waves Question and Answers PDF Download: Students of Standard 11 can now download Plus One Physics Chapter 15 Waves question and an... | 2022-10-01 13:49:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
No
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a straightforward presentation of information about physics, specifically waves, and does not contain any instances where... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Physics, specifically waves and sound
## Rationale
The text appears to be a study guide or educational resource for students, providing questions and answers rela... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing the result to a known value or by checking the result of ... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a colle... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and then figur... |
https://ncatlab.org/nlab/show/linear%20extension%20of%20a%20partial%20order | Contents
(0,1)-category
(0,1)-topos
# Contents
## Definition
###### Definition
(linear extension)
Given a set $X$ equipped with a partial ordering $\leq$, then a linear extension is a linear order $\leq_{lin}$ on the same set $S$, such that the identity function $id_S$ is order-preserving
$(S,\leq) \overset{ id... | 2019-10-18 06:46:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 30, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured argument, starting with a definition, followed by a proposition and its proof. The p... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Order Theory, Partially Ordered Sets
## Rationale
The text does not present a specific problem to be solved, but rather provides a definition, properties, and a proo... | <|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 any explicit subgoal setting where the problem is broken down into smaller, intermediate goals for the purpose of answer verification.... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
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 proof of the existence of linear extensions for finite sets,... |
https://math.stackexchange.com/questions/1312257/why-fourier-series-has-summation-and-fourier-transform-has-integration-symbol-in/1312287 | # Why Fourier series has summation and Fourier transform has integration symbol in their respective formulae?
Fourier transform for aperiodic signal is given by
$$X(\omega) = \int\limits_{t=-\infty}^{+\infty} x(t) e^{-j \omega t} dt. \quad (1)$$
Fourier series for periodic signal is given by
$$y(t) = \sum\limits_{m... | 2019-09-22 16:05:38 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 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 different mathematical concepts and formulas, and users respond with explanations and comments. However, th... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Signal Processing, Fourier Analysis
## Rationale
The text discusses the difference between Fourier series and Fourier transform, and why one uses summation while th... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or 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 explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a discussion about ... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>2</count>
## Rationale
The text exhibits backward-chaining behavior in two instances. The first instance is when the user "pandu" explains the relationship between Laplace tra... |
https://drexel28.wordpress.com/2011/05/22/the-total-derivative/ | # Abstract Nonsense
## The Total Derivative
Point of Post: In this post we discuss the notion of the total derivative for mappings $f:\mathbb{R}^n\to\mathbb{R}^m$ which generalizes the notions of derivatives $f:\mathbb{R}^n\to\mathbb{R}^m$ where $n$ or $m=1$ as is discussed in usual calculus.
$\text{ }$
Motivation
... | 2017-05-24 15:36:06 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 91, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text is a fo... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Multivariable Calculus
## Rationale
The text discusses the concept of the total derivative for mappings between Euclidean spaces, which is a fundamental concept in m... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work 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 mathe... | <|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. Firstly, the author starts with the definition of the total derivative for functions $f:\mathbb{R}... |
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