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values | date stringdate 2014-10-22 04:12:17 2023-04-02 02:31:46 | metadata stringclasses 10
values | backtracking_raw stringclasses 9
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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 backtracking behavior. The author does not mention making mistakes, realizing a path won't work, or needing to try a different approach. The text is a historical and explanatory piece about Bayes' theorem and its derivation, without any ... | 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 author breaks down a problem or task into smaller... | assistant
## 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, the life of Thomas Bayes, and the contributions of other mathematicians. It does not involve working backward from a goal... | user
## Thoughts
The text does not contain any explicit instances of the writer exploring alternate methods or perspectives after reaching a satisfactory solution. The content is primarily informative, providing historical context and details about Bayes' theorem and Thomas Bayes himself. There are no indications of th... |
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 verification steps where the writers check their own work or results.
## D... | 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. The responses are direct answers or questions without any sub... | user
## Thoughts
The text does not contain any backward-chaining behavior. The discussion revolves around finding an analogy for inductance in heat transfer or other physical systems, but there is no instance where the writers start from a goal and work backward to achieve it.
## Does the text exhibit backward chainin... | assistant```markdown
## Thoughts
The text provided does not contain any instances where the writer reaches a correct or satisfactory solution and then explicitly continues to explore alternate methods or perspectives. The discussion revolves around the analogy between physical quantities in different domains, but there... |
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
SupportedContent | user
555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555... | 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MicroEJ测试套件引擎的使用方法和配置,包括Ant任务的使用、属性和嵌套元素的说明,以及如何使用跟踪分析器。这些内容都是关于如何设置和使用测试工具的说明,没有展示从目标开始反向工作的逻辑推理过程。
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count> | |
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... | 5 | 22 | 2 | 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... | assistant
## Thoughts
The text does not contain any instances of "rethinking after correctness" behavior. The writer is asking for help with a statistical problem and receiving advice on why the t-test cannot be performed with the given data. There is no indication of the writer exploring alternative methods or perspec... |
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
... | $log
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## Thoughts
The text provided does not contain any instances where the writer reaches a correct or satisfactory solution and then explicitly continues to explore alternate methods or perspectives. The conversation is a straightforward exchange of information and requests for clarification, without any indication o... |
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... | userSupportedContent { display:none; } My Account | Register | Help
## Thoughts
The provided text is an encyclopedia entry about sampling distribution. It does not contain any backtracking behavior. The text does not show any instances where the writer realizes a path won't work and explicitly goes back to try a dif... | user5 | userHeaderCode seems to be mixed in with the text, which might be causing confusion. Let's focus on the content related to the sampling distribution and evaluate it for subgoal setting.
## Thoughts
The text provided is an article about sampling distributions in statistics. It explains what a sampling distribution is a... | user5 | user5 |
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 ... | 55555 | assistant
## Thoughts
The text describes a process for setting up ConEmu to ease the development process for multiple Web API services. It breaks down the process into several steps, including setting up the environment and creating tasks for running different services. However, these steps are more about a sequence of... | PostalCodes | assistant
## Thoughts
The text provided is a tutorial on how to use ConEmu for managing multiple Web API projects in a more efficient manner. The writer does not exhibit any behavior of rethinking after reaching a correct or satisfactory solution. The text is a straightforward explanation of steps and features without ... |
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
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0 Total Likes
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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 steps taken to verify the corre... | 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... | assistant
## Thoughts
The text provided does not contain any explicit instances of the writer exploring alternate methods or perspectives after reaching a correct or satisfactory solution. The text is a series of posts and replies discussing issues with solving PDEs using Mathematica's DSolve function. There is no indi... |
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 | user2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222... | user222 | userSupportedContent
2 | user22222 |
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... | assistant
## Thoughts
The provided text is a detailed explanation of how to compute the frequency response of a multistage decimator. The writer does not express any realization of a mistake or a need to change the approach during the explanation. The text follows a logical sequence of steps without any indication of b... | assistant
## Thoughts
The text provided is a detailed explanation of how to compute the frequency response of a multistage decimator. It includes a step-by-step process for upsampling, convolving, and computing the DFT to find the overall frequency response. However, the text does not explicitly mention any steps where... | assistant
## Thoughts
The text describes a process for computing the frequency response of a multistage decimator. It breaks down the process into several steps, including up-sampling the coefficients of the decimator stages, convolving the coefficients to obtain the overall impulse response, and taking the DFT of the ... | assistant
## Thoughts
The provided text is a detailed explanation of how to compute the frequency response of a multistage decimator. It does not exhibit backward-chaining behavior as described in the task description. The text describes a forward process of upsampling, convolving, and computing the frequency response ... | assistant
## Thoughts
The text provided does not contain any explicit instances of the writer exploring alternate methods or perspectives after reaching a correct or satisfactory solution. The content is focused on explaining the process of computing the frequency response of a multistage decimator, providing a detaile... |
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