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http://spot.pcc.edu/math/orcca/knowl/exercise-1014.html | ###### Exercise113
A rectangle’s perimeter is $${92\ {\rm ft}}\text{.}$$ Its length is $${2\ {\rm ft}}$$ shorter than three times of its width. Use an equation to find the rectangle’s length and width.
Its width is .
Its length is .
in-context | 2018-07-17 19:29:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 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. The writer presents a problem and asks for the rectangle's length and width without attempting any solutions, aban... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
no
## Text domain (broad)
math
## Text domain (specific)
Geometry, Algebra
## Rationale
The text describes a geometric problem involving a rectangle's perimeter and dimensions, and asks to use an equation to find the lengt... | <|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 or steps to break down the problem into smaller, intermediate goals. It presents a problem and asks for t... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text does not exhibit backward chaining behavior. It presents a problem to be solved, but it does not demonstrate the process of working backwards fr... |
http://mathhelpforum.com/algebra/90766-algebra.html | # Math Help - algebra
1. ## algebra
determine the value k so that x-4 is a factor of $x^2+8x+k$
i know that answer is going o be 12, i got it by dividing x-4 into $x^2+8x+k$ but im not sure about the remainder, bcz i got k+48
$m^2-k^2+6k-9$ has a factor of (m-k+3) what is the other
2. $x^2+8x+k$ to factor this with... | 2016-06-25 08:18:27 | {"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": 10, "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 writer does not exhibit any backtracking behavior in the provided text. They present a problem, work through it step by step, and arrive at a solution without indicating any abandonment... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Algebra, Factoring Quadratic Equations
## Rationale
The text contains two distinct math problems related to algebra, specifically factoring quadratic equations. The... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
yes
## Number of answer verification steps
<count>2</count>.
## Rationale
The writer explicitly checks their work in two instances. Firstly, they verify that the factorization of $x^2+8x+k$ with $(x-4)$ as a factor results in the correct coefficient... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification occur?
yes
## Number of answer verification steps
<count>2</count>.
## Rationale
The text contains explicit subgoal setting, where the problem is broken down into smaller, intermediate goals. In the first part, the goal is to determine the val... | <|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 determine the value of $k$ such that $x-4$ is a... |
http://www.fightfinance.com/?q=45,286,306,351,368,376,440,501,522,979 | # Fight Finance
#### CoursesTagsRandomAllRecentScores
The required return of a project is 10%, given as an effective annual rate. Assume that the cash flows shown in the table are paid all at once at the given point in time.
What is the Profitability Index (PI) of the project?
Project Cash Flows Time (yrs) Cash fl... | 2020-10-20 05:31:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "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 collection of financial problems and questions, with each section presenting a new scenario or question with... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
no
## Text domain (broad)
finance
## Text domain (specific)
Corporate Finance, Financial Markets, Investments
## Rationale
The text appears to be a collection of finance-related problems, covering various topics such as pr... | <|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 collec... | <|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 appears to be a collection of financial problems and questions, with each section presenting a distinct scenario or concept. Upon exami... |
http://mathhelpforum.com/number-theory/129198-2-modulo-questions.html | 1. ## 2 Modulo questions
We're working with modulos in my number theory class, so I'm sure that's how I am supposed to go about doing these problems. I just can't think of the proper approach...
a)Find the remainder when 5^10 is divided by 19.
b)Find the final digit of 1! + 2! + 3! + ... + 10!
2. These questions us... | 2016-10-26 16:20:01 | {"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": 25, "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 explicit backtracking behavior where the writer abandons a thought and goes back to try a different approach. The writer presents a series of steps and exp... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Number Theory, Modular Arithmetic
## Rationale
The text discusses problems related to modular arithmetic, specifically finding remainders and last digits of express... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
yes
## Number of answer verification steps
<count>5</count>.
## Rationale
The writer explicitly checks their own work in several instances. In section 2, the writer breaks down the problem of finding the remainder when $5^{10}$ is divided by 19 into... | <|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 is broken down into smaller, intermediate goals. For example, in part 2, the problem of findin... | <|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 part 2, where the writer breaks down the problem of finding the ... |
https://zbmath.org/?q=ai%3Abarthel.tobias+se%3A00002067 | # zbMATH — the first resource for mathematics
Six model structures for DG-modules over DGAs: model category theory in homological action. (English) Zbl 1342.16006
Summary: In Part 1, we describe six projective-type model structures on the category of differential graded modules over a differential graded algebra $$A$$... | 2021-01-20 14:21:26 | {"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 exhibit any backtracking behavior. The writer presents a clear and structured discussion of model structures for DG-modules over DGAs, describing different approa... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Algebraic Topology and Homological Algebra
## Rationale
The text appears to be a mathematical paper discussing model structures for DG-modules over DGAs, presenting ... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or by verifying calculations. The... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting where the problem is broken down into smaller, intermediate goals. The text appears to be a mathematical ... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text provided appears to be a mathematical summary of a research paper, describing various model structures and their applications in differential gr... |
http://math.stackexchange.com/questions/48999/closed-subspace-of-a-cartesian-product | # closed subspace of a cartesian product
let $X$ be a topological space. let $$\Delta =\{(x,x,x)\, | x\in X\}\subset X^3$$ why $\Delta$ is closed in $X^3$? can we write a continuous map $f$ such that $\Delta$ is the preimage of some closed subset or is there another argument?
-
May be you want $X$ to be Hausdorff? – ... | 2016-02-08 06:45:42 | {"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": 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 backtracking behavior. The writer presents a problem, receives suggestions and guidance from others, and eventually receives a clear and direct answer... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Topology, specifically properties of topological spaces and continuous functions
## Rationale
The text discusses a problem related to topological spaces, specifical... | <|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?
yes
## Number of answer verification steps
<count>5</count>.
## Rationale
The text contains several subgoal steps to prove that $\Delta$ is closed in $X^3$. The steps include:
1. Proving that the diagonal in $X^2$ is closed if $X$ is Hausdor... | <|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 prove that $\Delta$ is closed in $X^3$. They st... |
https://www.vedantu.com/iit-jee/intensity-in-youngs-double-slit-experiment | Courses
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# Intensity in Young’s Double Slit Experiment - Important Topic for JEE
## An Introduction to Young’s Double Slit Experiment
Last updated date: 23rd Mar 2023
Total views: 76.5k
Views today: 0.54k
The Young’s Double Slit Experiment, or YDSE, is one ... | 2023-03-30 07:42:29 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
No
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of the Young's Double Slit Experiment, its setup, analysis, and formulas... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Physics, specifically Optics and Wave Theory
## Rationale
The text provides a detailed explanation of Young's Double Slit Experiment, including its setup, analysi... | <|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 educ... | <|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 Young's Double Slit Experiment, explaining the setup, analysis, and results of the experiment. It does ... |
https://ai.stackexchange.com/questions/15611/vector-normalization-by-a-neural-network | # Vector normalization by a neural network
I'm wondering if there is a NN that can achieve the following task:
Output a unit vector that is parallel to the input vector. i.e., input a vector $$\mathbf{v}\in\mathbb{R}^d$$, output $$\mathbf{v}/\|\mathbf{v}\|$$.
The dimension $$d$$ can be fixed, say $$2$$.
To achieve ... | 2019-12-12 10:45:56 | {"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": 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 and discusses potential approaches and limitations of using neural networks for vector normalizat... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
no
## Text domain (broad)
math/science
## Text domain (specific)
Neural Networks and Vector Operations
## Rationale
The text describes a problem of using a neural network to perform vector normalization, which is a mathema... | <|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 discussion revolves around the feasibi... | <|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 starts by presenting a problem (normalizing a vector using a neural network) and then di... |
https://reliccastle.com/threads/3675/ | # v18.1Scripting questions
This thread pertains to v18.1 of Pokémon Essentials.
#### Leondrea
##### Trainer
Member
Hi, I've made some Trainer vs graphics, and changed the vs graphic to blue, green and red/pink.
And now I want that the game shows up a red vs graphic, when the player is female
and when the player is a... | 2021-04-15 05:54:42 | {"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": 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 forum discussion where users are trying to solve a problem with scripting in a Pokémon game. While the users are exploring different solutions and providing code snip... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
computer science
## Text domain (specific)
Game Development, specifically Pokémon Essentials scripting and game modification
## Rationale
The text describes a problem where the user wants to modi... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The text provided 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 conversation is primarily a... | <|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 forum discussion about modifying a Pokémon game using scripts. The original poster, Leondrea, wants to change the vs graphic based... |
https://math.stackexchange.com/questions/2966371/power-set-of-a-set-with-multiple-elements-that-end-up-being-distilled-into-a-sin | Power set of a set with multiple elements that end up being distilled into a single element
I have a set with
{1, {1}, {1,1}}
I was wondering whether the power set of this set would be
{null, 1, {1}, {1, 1}, {1, {1}, {{1}, {1, 1,}}, {1, {1, 1}}, {1, {1}, {1, 1}}}
or just
{null, 1}
I would think it would be th... | 2019-10-14 13:08:12 | {"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": 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?
yes
## Number of backtrack steps
<count>1</count>.
## Rationale
The writer initially considers two possible power sets of the given set and presents them as options. However, after further reflection and consideration of the definitions of sets and the... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Set Theory
## Rationale
The text discusses the concept of power sets and set theory, specifically addressing the issue of sets with the same elements and cardinalit... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
yes
## Number of answer verification steps
<count>2</count>.
## Rationale
The writer of the text explicitly checks their own work in two instances. Firstly, they compare their initial intuition about the power set of the given set with an alternativ... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
yes
## Number of answer verification steps
<count>3</count>.
## Rationale
The text contains explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The subgoals are:
1. Understanding the power set ... | <|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 writer is trying to determine the power set of a given set. They start with the potential power sets as the... |
https://phys.libretexts.org/TextBooks_and_TextMaps/University_Physics/Book%3A_University_Physics_(OpenStax)/Map%3A_University_Physics_II_-_Thermodynamics%2C_Electricity%2C_and_Magnetism_(OpenStax)/15%3A_Alternating-Current_Circuits/15.5%3A_Resonance_in_an_AC_Circuit | $$\require{cancel}$$
15.5: Resonance in an AC Circuit
[ "article:topic", "authorname:openstax", "resonant frequency", "quality factor", "bandwidth", "Ac circuit", "license:ccby" ]
In the RLC series circuit of [link], the current amplitude is, from [link],
$I_0 = \dfrac{V_0}{\sqrt{R^2 + (\omega L - 1/\omega C)^2}}.$... | 2018-11-16 18:39:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. The writer presents a clear and structured explanation of resonance in an AC circuit, including equations, examples, and soluti... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Electrical Engineering, specifically AC Circuits and Resonance
## Rationale
The text discusses the concept of resonance in an AC circuit, including the resonant f... | <|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 occur?
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... | <|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 backward from a goal to find a solution, but the text i... |
https://www.intechopen.com/chapters/67273 | Open access peer-reviewed chapter
# Optimal Trajectory Synthesis and Tracking Control for Spacecraft Large Attitude Manoeuvers
Written By
Ranjan Vepa
Submitted: January 28th, 2019 Reviewed: April 24th, 2019 Published: January 15th, 2020
DOI: 10.5772/intechopen.86498
From the Edited Volume
## Advances in Spacecra... | 2023-03-28 21:45:55 | {"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. The author presents a structured and linear approach to discussing the optimal trajectory synthesis and tracking control for sp... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Aerospace Engineering, Spacecraft Attitude Control
## Rationale
The text discusses the problem of synthesizing an optimal attitude maneuver trajectory for a spac... | <|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 techn... | <|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 author starts with the goal of synthesizing an optimal attitude maneuver tra... |
https://www.physicsforums.com/threads/java-programs.268372/ | # Java programs
• Java
Aman Gaur
can anyone help in solving this program...
write a program to create the series as 0 ,3 ,8 ,15 ,24 ,35...till n terms
Tell us if you have discovered the "pattern" in those numbers yet? Once you know the pattern then I think the program to generate those numbers should be very easy.
... | 2022-11-30 23:19:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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 text provided is a conversation between Aman Gaur and other individuals about solving Java programming problems. While there are instances where Aman Gaur asks for clarification or help,... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
computer science
## Text domain (specific)
Java programming, algorithms, and problem-solving
## Rationale
The text contains multiple problems related to Java programming, including generating a s... | <|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?
yes
## Number of answer verification steps
<count>2</count>.
## Rationale
The text contains two instances of subgoal setting. The first instance is when the user Aman Gaur is trying to create a program to generate a series of numbers, and the... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
yes
## Number of backward chaining instances
<count>3</count>
## Rationale
The text exhibits backward-chaining behavior in the following instances:
1. In the first problem, the writer is trying to generate a series of numbers (... |
https://lists.gnu.org/archive/html/bug-lilypond/2009-03/msg00173.html | bug-lilypond
[Top][All Lists]
## Re: wide-char is wide
From: Francisco Vila Subject: Re: wide-char is wide Date: Wed, 25 Mar 2009 23:30:01 +0100
```>From your kind explanation would be right to say that the argument to
the LilyPond \char command is a simple natural number and not a
multibyte utf-8 sequence? This is... | 2019-08-22 10:26:55 | {"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. The writer presents a clear and coherent explanation of the Unicode character representation, without abandoning any thoughts o... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Computer Science, specifically Unicode and Character Encoding
## Rationale
The text discusses a specific issue related to the LilyPond `\char` command and its in... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit verification steps where the writer checks their own work by comparing results to known values or 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 an emai... | <|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. The writer is discussing and explaining the concept of Unicode and its representation, but... |
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