url stringlengths 15 1.64k | text stringlengths 100 680k | date stringlengths 19 19 | metadata stringlengths 1.07k 1.1k | backtracking_raw stringlengths 0 2.54k | verification_raw stringlengths 0 4.3k | subgoal_setting_raw stringlengths 0 2.99k | backward_chaining_raw stringlengths 0 2.67k |
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https://telescoper.wordpress.com/2010/11/23/bayes-and-hi-theorem/ | Bayes and his Theorem
My earlier post on Bayesian probability seems to have generated quite a lot of readers, so this lunchtime I thought I’d add a little bit of background. The previous discussion started from the result
$P(B|AC) = K^{-1}P(B|C)P(A|BC) = K^{-1} P(AB|C)$
where
$K=P(A|C).$
Although this is called Ba... | 2016-09-28 22:12:05 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 4, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant
## Thoughts
The provided text does not contain any explicit instances of the writer realizing a path won't work and then going back to try a different approach. The text is more of an informative piece about the history and derivation of Bayes' theorem, without any indication of the author encountering a prob... | assistant
## Thoughts
The provided text is a blog post discussing the history and derivation of Bayes' theorem. It provides a detailed explanation of the binomial distribution and the historical context of Bayes' work. However, the text does not contain any explicit steps where the author checks their own work or verif... | assistant
## Thoughts
The text provided does not contain any explicit subgoal setting. The content is primarily historical and explanatory, detailing the background of Bayes' theorem, the life of Thomas Bayes, and some related anecdotes. There are no instances where the writer breaks down a problem or task into smaller... | user
## Thoughts
The text provided does not contain any instances of backward-chaining behavior. The content is primarily historical and explanatory, detailing the background of Bayes' theorem, its derivation, and the historical context of Thomas Bayes and his contributions. There is no evidence of reasoning that start... |
https://www.physicsforums.com/threads/physical-quantity-analogous-to-inductance.691308/ | Physical Quantity Analogous to Inductance
1. May 12, 2013
tapan_ydv
Hi,
I understand that some physical quantities in electromagnetism are analogous to physical quantities in heat transfer. For instance, electric field is analogous to temperature gradient.
I want to know which physical quantity in heat transfer is... | 2018-03-25 03:47:16 | {"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... | assistant ## Thoughts
The text provided is a discussion thread on a forum where users are discussing the analogy between physical quantities in electromagnetism and heat transfer, specifically focusing on what physical quantity in heat transfer is analogous to inductance. There is no indication of any backtracking beha... | assistant ## Thoughts
The text provided is a discussion about the analogy between physical quantities in different domains, specifically inquiring about the analogy of inductance in heat transfer. The responses given do not contain any explicit steps to verify an answer or solution. They are more focused on providing a... | assistant ## Thoughts
The text is a discussion about the analogy between physical quantities in different domains, specifically inquiring about the analogy of inductance in heat transfer. There is no breakdown of the problem into smaller, intermediate goals or steps. The responses are more about providing information o... | assistant ## Thoughts
The text provided is a discussion about the analogy between physical quantities in different domains, specifically inquiring about the analogy of inductance in heat transfer. The discussion does not involve any backward-chaining behavior. The participants are discussing analogies and providing exp... |
https://docs.microej.com/en/latest/ApplicationDeveloperGuide/testsuiteEngine.html | # MicroEJ Test Suite Engine¶
## Introduction¶
The MicroEJ Test Suite Engine is a generic tool made for validating any development project using automatic testing.
This section details advanced configuration for users who wish to integrate custom test suites in their build flow.
The MicroEJ Test Suite Engine allows ... | 2021-10-16 06:03:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user | userSupportedContent | user | user |
https://www.biostars.org/p/57152/ | T-Test In R On Microarray Data
3
1
Entering edit mode
10.4 years ago
Diana ▴ 900
Hello everyone,
I'm trying to do a simple t-test on my microarray sample in R. My sample looks like this:
gene_id gene sample_1 value_1 sample_2 value_2
XLOC_000001 LOC425783 Renal 20.8152... | 2023-04-02 02:31:46 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant
## Thoughts
The text does not contain any instances where the writer explicitly goes back to try a different approach. The discussion revolves around the limitations of performing a t-test with insufficient data and the need for replication. There are no statements indicating that the writer has realized a pa... | assistant
## Thoughts
The text provided is a discussion about performing a t-test on microarray data in R. The participants in the discussion are addressing the issue of not having enough data (specifically, not having replicates) to perform a t-test. They explain that a t-test requires more than one observation per gr... | ||
https://www.scootersoftware.com/vbulletin/showthread.php?11869-how-to-compare-multiple-files&p=39716 | # Thread: how to compare multiple files?
1. Visitor
Join Date
Jun 2013
Posts
4
## how to compare multiple files?
hi,
I dont have much exp with BC 3 and scripting, i would like to build script to compare four files for example:
scenario1:
file 1: \\server1\folder1\text.txt
file 2: \\server2\folder1\text.txt
scenar... | 2018-02-21 03:33:45 | {"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... | user
## Thoughts
The text provided is a conversation between a visitor and a team member discussing how to script file comparisons using Beyond Compare. There is no indication of any backtracking behavior where the writer realizes a path won't work and explicitly goes back to try a different approach. The conversation ... | user
## Thoughts
The text provided is a discussion about scripting to compare multiple files. There are no explicit steps taken to verify the correctness of the script or the results of the file comparisons. The conversation focuses on the method of comparison and the format of the output, but does not include any veri... | user
## Thoughts
The text does not contain any explicit subgoal setting. The discussion revolves around how to script file comparisons and the specifics of generating reports. There are no clear steps or intermediate goals outlined for solving a problem.
## Does subgoal setting?
no
## Number of subgoal setting steps
... | user
## Thoughts
The text provided is a discussion about scripting to compare multiple files using Beyond Compare. There is no indication of backward-chaining behavior in the text. The discussion revolves around the steps to create a script for file comparison and the output format of the report. The participants are n... |
http://www.self.gutenberg.org/articles/eng/Sampling_distribution | #jsDisabledContent { display:none; } My Account | Register | Help
# Sampling distribution
Article Id: WHEBN0000520670
Reproduction Date:
Title: Sampling distribution Author: World Heritage Encyclopedia Language: English Subject: Collection: Statistical Theory Publisher: World Heritage Encyclopedia Publication Dat... | 2020-08-10 05:32:56 | {"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... | user | user | userSupportedContent | user |
https://kimsereylam.com/azure/2017/07/22/conemu-a-better-command-prompt-for-windows.html | By Kimserey Lam with
# Conemu A Better Command Prompt For Windows
Jul 22nd, 2017 - written by Kimserey with .
When developing multiple Web api under multiple Visual Studio solutions, it can become very tedious to maintain, run and debug. Opening multiple instances of Visual Studio is very costly in term of memory an... | 2019-07-22 11:33:58 | {"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... | assistant
## Thoughts
The text provided is a guide on how to use ConEmu for managing multiple Web API projects in a more efficient manner. The writer does not express any realization of a wrong path or a need to go back to a previous approach. The text is a straightforward explanation of steps and features without any ... | 提供的文本中没有包含任何验证步骤。作者主要介绍了如何使用ConEmu来简化开发过程，包括设置环境变量和创建任务来快速启动多个服务，但没有提到任何验证计算结果或检查工作正确性的步骤。
## Does verification?
no
## Number of answer verification steps
<count>0</count> | 提供的文本中没有展示任何向后链接的行为。文本主要描述了如何使用ConEmu来简化开发过程，包括设置环境变量和创建任务来快速启动多个服务。这些步骤都是按照常规的前向逻辑进行的，没有从目标开始反向推理的过程。
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count | |
https://community.wolfram.com/groups/-/m/t/2373558 | # Why does the DSolve not solve the PDE giving the 'Arbitrary functions'?
Posted 1 month ago
343 Views
|
6 Replies
|
0 Total Likes
|
Hello, I have two PDEs (strainDisp11 & strainDisp22) in 2 variables x1 and x2. strainDisp11 is a PDE with the partial differential term in x1 whereas, strainDisp22 is a PDE with the par... | 2021-10-28 08:17:36 | {"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... | user
## Thoughts
The text provided does not contain any explicit instances where the writer realizes a path won't work and goes back to try a different approach. There are no phrases like "Let me try again", "Wait", "I made a mistake", or "we need to try a different sequence of operations". The text is a series of post... | assistant ## Thoughts
The text provided is a discussion thread about solving partial differential equations (PDEs) using Mathematica's DSolve function. The participants are discussing issues with the solutions generated by DSolve and suggesting workarounds. However, there are no explicit verification steps where the wr... | assistant
## Thoughts
The text provided is a discussion thread about solving partial differential equations (PDEs) using Mathematica's DSolve function. The participants are troubleshooting issues with the solutions generated by DSolve. There is no explicit breakdown of the problem into smaller, intermediate goals or su... | assistant ## Thoughts
The text provided is a discussion about solving partial differential equations (PDEs) using Mathematica's DSolve function. The participants are troubleshooting why the DSolve function does not generate the expected solutions with arbitrary functions. There is no indication of backward-chaining beh... |
http://mathhelpforum.com/calculus/209791-partial-derivative-notation-question.html | # Math Help - partial derivative notation question
1. ## partial derivative notation question
what does the notation at the bottom mean? the second derivative wrt z over the partial of y times the partial of x. Is that right? and what does that mean procedurally?
2. ## Re: partial derivative notation question
It me... | 2014-10-22 04:12:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 1, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user | user | user2222 | user"text |
https://www.dsprelated.com/showarticle/1228.php | # Compute the Frequency Response of a Multistage Decimator
Figure 1a shows the block diagram of a decimation-by-8 filter, consisting of a low-pass finite impulse response (FIR) filter followed by downsampling by 8 [1]. A more efficient version is shown in Figure 1b, which uses three cascaded decimate-by-two filters. ... | 2021-04-23 10:43:08 | {"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... | APPENDIX | SupportedContent | ||
https://economics.stackexchange.com/questions/14047/why-are-vacancy-rate-and-unemployment-rate-negatively-correlated | # Why are vacancy rate and unemployment rate negatively correlated?
Why is this the case?
Since Vacancy rate is defined as following,
let $A,Q,U$ denote number of vacancies in the economy, labor force, unemployed respectively.
$$\frac{A}{A+Q-U}$$
Here we can see that if unemployed increase vacancy rate would go up... | 2019-10-20 09:38:34 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant```markdown
## Thoughts
The text provided does not contain any explicit backtracking behavior. The writer does not mention any mistakes, contradictions, or the need to try a different approach. The text is a question followed by a response that attempts to clarify the question and provide an explanation withou... | assistant```markdown
## Thoughts
The text provided does not contain any explicit verification steps. The writer does not check their work by comparing results to known values, testing formulas with simple cases, or ensuring solutions satisfy given constraints. The text is more focused on defining terms and asking quest... | assistant```markdown
## Thoughts
The text provided does not contain any explicit subgoal setting. The writer does not break down the problem into smaller, intermediate goals or steps. Instead, the text is more of a discussion and clarification of the question and the definitions involved.
## Does subgoal setting?
no
... | assistant```markdown
## Thoughts
The provided text does not contain any backward-chaining behavior. The text is a discussion about the relationship between vacancy rate and unemployment rate, and it does not start from a goal and work backward to achieve it. The mathematical expressions and explanations provided are de... |
https://www.computer.org/csdl/trans/td/2008/08/ttd2008081099-abs.html | Issue No. 08 - August (2008 vol. 19)
ISSN: 1045-9219
pp: 1099-1110
ABSTRACT
Peer-to-peer (P2P) networks often demand scalability, low communication latency among nodes, and low system-wide overhead. For scalability, a node maintains partial states of a P2P network and connects to a few nodes. For fast communication, a ... | 2018-05-28 10:18:54 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | assistant```markdown
## Thoughts
The provided text is an abstract and citation for a research paper. It does not contain any narrative that would suggest the writer is reconsidering or abandoning a thought process to try a different approach. The text is a formal description of the research paper's content and does not... | assistant```markdown
## Thoughts
The text provided is an abstract from a research paper discussing a tree-based peer-to-peer network. It mentions evaluating the proposal through rigorous performance analysis and validating it with extensive simulations. However, it does not explicitly describe any specific verification... | assistant```markdown
## Thoughts
The provided text is an abstract from a research paper discussing a tree-based peer-to-peer (P2P) network design. The text outlines the goals and merits of the proposed network but does not break down the problem into smaller, intermediate goals or steps. It describes the characteristic... | user333 |
https://mathhothouse.me/category/pre-rmo-2/ | ## Category Archives: Pre-RMO
### Rules for Inequalities
If a, b and c are real numbers, then
1. $a < b \Longrightarrow a + c< b + c$
2. $a < b \Longrightarrow a - c < b - c$
3. $a < b \hspace{0.1in} and \hspace{0.1in}c > 0 \Longrightarrow ac < bc$
4. $a < b \hspace{0.1in} and \hspace{0.1in}c < 0 \Longrightarrow bc ... | 2019-09-22 12:42:00 | {"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": 362, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... | assistant ## Thoughts
The provided text does not contain any backward-chaining behavior. It is a straightforward presentation of mathematical concepts and definitions related to relations and sets, without any indication of working backward from a goal.
## Does the text exhibit backward chaining?
no
## Number of back... | |||
http://math.stackexchange.com/questions/222974/probability-of-getting-2-aces-2-kings-and-1-queen-in-a-five-card-poker-hand-pa | # Probability of getting 2 Aces, 2 Kings and 1 Queen in a five card poker hand (Part II)
So I reworked my formula in method 1 after getting help with my original question - Probability of getting 2 Aces, 2 Kings and 1 Queen in a five card poker hand. But I am still getting results that differ...although they are much ... | 2014-03-07 11:01:44 | {"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... | assistant ## Thoughts
The text describes a situation where the writer is trying to calculate the probability of getting a specific poker hand and is comparing two methods. The writer mentions reworking their formula after receiving help, indicating a form of backtracking where they recognized a mistake in their origina... | assistant ## Thoughts
The text provided is a discussion about calculating the probability of getting 2 Aces, 2 Kings, and 1 Queen in a five-card poker hand using two different methods. The author is comparing the results of these methods and discussing potential errors in the calculations. However, there is no explicit... | assistant
## Thoughts
The text provided is a discussion about calculating the probability of getting a specific hand in poker. The writer presents two methods for calculating the probability and discusses the discrepancy between the results. There is no explicit breakdown of the problem into smaller, intermediate goals... | assistant
## Thoughts
The text provided does not contain any instances of backward-chaining behavior. The text is a discussion about calculating the probability of getting a specific hand in poker using two different methods. The discussion revolves around the correctness of the formulas used in these methods and does ... |
https://www.stat.math.ethz.ch/pipermail/r-help/2008-June/166104.html | # [R] Sweave: controlling pointsize (pdf)
Lauri Nikkinen lauri.nikkinen at iki.fi
Fri Jun 27 13:37:49 CEST 2008
Yes, I think so too. I already tried with
options(SweaveHooks=list(fig=function() pdf(pointsize=10)))
but as you said it tries to open pdf device and Sweaving fails...
Best
Lauri
2008/6/27, Duncan Murdo... | 2022-05-27 16:55:29 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | user
## Thoughts
The text provided is a discussion about controlling the pointsize of PDFs produced by Sweave in R. There are no explicit steps taken to verify the correctness of any calculations or results within the text.
## Does verification?
no
## Number of answer verification steps
<count>0</count> | user
## Thoughts
The text provided is a discussion about controlling the pointsize of PDFs produced by Sweave in R. There is no indication of backward-chaining behavior in this text. The discussion revolves around the technical aspects of using Sweave and R to generate PDFs with specific point sizes, and there are no i... |
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