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https://nrich.maths.org/public/topic.php?code=-99&cl=2&cldcmpid=12673 | # Resources tagged with: Working systematically
Filter by: Content type:
Age range:
Challenge level:
### There are 340 results
Broad Topics > Thinking Mathematically > Working systematically
##### Age 7 to 14 Challenge Level:
I added together some of my neighbours' house numbers. Can you explain the patterns I not... | 2020-08-10 05:33:35 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>
## Rationale
The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears ... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
no
## Text domain (broad)
math
## Text domain (specific)
Problem Solving, Geometry, and Patterns
## Rationale
The text appears to be a collection of mathematical problems and challenges for students of various age ranges. ... | <|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 in the provided text?
no
## Number of subgoal steps
<count>0</count>
## Rationale
The provided text appears to be a collection of mathematical problems and challenges for students of various age ranges. While the problems themselves may ... | <|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 mathematical problems and challenges for students of various age ranges. Upon reviewing the text, there i... | no | <count>0</count> | The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears to be a collection of mathematical problems and challenges, with no narrative or explanatory text that would indicate backtracking... | no | <count>0</count> | The provided text appears to be a collection of mathematical problems and challenges for students of various age ranges. Upon reviewing the text, there is no evidence of backward-chaining behavior, where the writer starts from a goal and works backward to achieve it. The text primarily consists of problem statements, c... | no | <count>0</count>. | 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 a calculation. The text appears to be a collection of mathematical challenges and problems for students to solve, with no solutions or verificat... | yes | no | math | Problem Solving, Geometry, and Patterns | The text appears to be a collection of mathematical problems and challenges for students of various age ranges. The problems cover a range of topics, including geometry, patterns, and algebra, and are designed to encourage critical thinking and problem-solving skills. There are no explicit solutions provided, but rathe... | ||
https://www.zbmath.org/?q=in%3A00334575+cc%3A54 | # zbMATH — the first resource for mathematics
A note on the continuous self-maps of the ladder system space. (English) Zbl 1324.54055
Summary: We give a partial characterization of the continuous self-maps of the ladder system space $$K_{\mathcal S}$$. Our results show that $$K_{\mathcal S}$$ is highly nonrigid. We al... | 2021-08-01 09:07:15 | {"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 formal mathematical summary and reference list without any indication of the writer abandoning a thought or trying a di... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Topology and Banach Space Theory
## Rationale
The text discusses a specific mathematical concept, the "ladder system space" $K_{\mathcal S}$, and provides a partial... | <|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 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 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?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text appears to be a mathematical abstract and reference list, and it does not exhibit any clear instances of backward chaining. Backward ch... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. It is a formal mathematical summary and reference list without any indication of the writer abandoning a thought or trying a different approach. The text presents a clear and structured discussion of the topic, including a summary, references, and mathematic... | no | <count>0</count> | The provided text appears to be a mathematical abstract and reference list, and it does not exhibit any clear instances of backward chaining. Backward chaining typically involves working backwards from a goal to find a solution, but the text is primarily descriptive and does not seem to be working towards a specific go... | no | <count>0</count>. | 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 checking the result of a calculation. The text appears to be a mathematical summary and reference list, and it does not include any language that suggests the author is ve... | yes | yes | math | Topology and Banach Space Theory | The text discusses a specific mathematical concept, the "ladder system space" $K_{\mathcal S}$, and provides a partial characterization of its continuous self-maps. The authors also discuss the notion of "few operators" for spaces $C(K)$ with scattered $K$ and show that $C(K_{\mathcal S})$ does not have few operators. ... | ||
http://bigdipper.com/music-box-dsxzo/page.php?cd7503=mahalanobis-distance-calculator-online | I have a set of variables, X1 to X5, in an SPSS data file. Mean will throw a warning for non-numeric data, but colMeans stops with non-numeric data. CONTRACT NUMBER FA8650-09-D-6939 TO0023 5b. The leading data analysis and statistical solution for Microsoft Excel. The basic idea is the same as for a normal probability ... | 2021-05-07 20:23:09 | {"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": 1, "mathjax_display_tex": 2, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
No
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears... | <|start_header_id|>assistant<|end_header_id|>
## Step 1: Determine the number of variables (p) in the dataset.
The number of variables in the dataset is 4 (X1 to X4).
## Step 2: Calculate the mean of each variable.
To calculate the mean of each variable, we sum up all the values for each variable and divide by the to... | <|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|>
## Step 1: Understand the concept of Mahalanobis distance
The Mahalanobis distance is a measure of the distance between a point and a distribution, and it is often used to detect outliers in multivariate data.
## Step 2: Identify the goal of the text
The goal of the text ... | No | <count>0</count>. | The provided text does not contain any instances of backtracking behavior, where the writer realizes a path won't work and explicitly goes back to try a different approach. The text appears to be a collection of notes and explanations about Mahalanobis distance, its calculation, and its applications, without any indica... | null | null | null | no | <count>0</count>. | 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 a calculation. The text appears to be a collection of information and explanations about Mahalanobis distance, its calculation, and its applicat... | null | null | null | null | null | How can I calculate the Mahalanobis distance for each observation in a dataset with multiple dependent variables in SPSS? | <think>I need to calculate the Mahalanobis distance for each observation in my dataset, but I have multiple dependent variables. I know that the Mahalanobis distance is a measure of distance between a point and a distribution, and it's used to identify multivariate outliers. I have 18 columns in SPSS with dependent var... |
http://tex.stackexchange.com/questions/49952/problem-with-loop-generated-pkgkeys-containing-a-space/49957 | # Problem with loop-generated pkgkeys containing a space
I'm trying to use \pgfkeys in the following setting:
\documentclass{article}
\usepackage{tikz}
\usepackage{pgfkeys}
\begin{document}
\begin{tikzpicture}[%
m1 color/.initial=red,
m2 color/.initial=green,
m3 color/.initial=blue,
]
\foreach \i in {1, ..., 3} {%
... | 2014-04-19 17:39:32 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The writer does not exhibit backtracking behavior in the provided text. They present a problem, attempt different solutions, and eventually find a working approach, but they do not explicit... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
computer science
## Text domain (specific)
LaTeX and TikZ programming
## Rationale
The text describes a problem with using loop-generated pkgkeys containing a space in LaTeX, specifically with 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 the result to a known value or by checking the result of ... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text does not contain any explicit subgoal setting, where the model breaks down the problem into smaller, intermediate goals. The text appears to be a discu... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text does not exhibit backward chaining behavior. The writer is trying to solve a problem with loop-generated pkgkeys containing a space and is worki... | no | <count>0</count>. | The writer does not exhibit backtracking behavior in the provided text. They present a problem, attempt different solutions, and eventually find a working approach, but they do not explicitly abandon a thought and go back to try a different approach. The text is a linear progression of attempts to solve the problem, wi... | no | <count>0</count> | The text does not exhibit backward chaining behavior. The writer is trying to solve a problem with loop-generated pkgkeys containing a space and is working forward to find a solution, trying different approaches and analyzing the results. The writer starts with a problem, tries to identify the cause, and then works tow... | no | <count>0</count>. | 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 a calculation. The text is a discussion about troubleshooting an issue with LaTeX code and finding a solution, but it does not involve verifying... | yes | yes | computer science | LaTeX and TikZ programming | The text describes a problem with using loop-generated pkgkeys containing a space in LaTeX, specifically with the TikZ package. The problem is identified as the space in the key name being removed when using a macro, and a solution is provided by adding an explicit space using the `\space` command. The text also includ... | What's the problem with the first example of using \pgfkeys in a loop with keys containing spaces? | <think>I'm trying to figure out why the first example doesn't work when I use \pgfkeys in a loop with keys that contain spaces. I noticed that when I change the key names to not have spaces, it works, but I can't iterate over the keys as intended. I also tried changing the key name from m1 color to m1_color, and it wor... |
https://blog.yingw787.com/posts/2017/09/12/welcome_hugo/ | # Welcome Hugo!
Porting to Hugo is successful.
print "Hello World!"
digraph g {
node[shape="circle" , label="", width=0.2, height=0.2]
l1[xlabel="v$$s$$"]
l21[xlabel="a", width=0.1, height=0.1 , style=filled]
l22[width=0.1, height=0.1, style=filled]
l31[xlabel="v$$s'$$"]
l1 -> l21
l1 -> l22
l21 -> l31 [xlabel="... | 2021-12-05 08:34:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The text provided does not exhibit any backtracking behavior. The writer presents information, shares their thoughts and feelings about porting to Hugo, and discusses some issues they've en... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
computer science
## Text domain (specific)
Web Development and Graph Theory
## Rationale
The text mentions porting to Hugo, which is a static site generator, and discusses some issues with the cu... | <|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 perso... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning ... | no | <count>0</count>. | The text provided does not exhibit any backtracking behavior. The writer presents information, shares their thoughts and feelings about porting to Hugo, and discusses some issues they've encountered, but at no point do they explicitly abandon a thought or approach to try a different one. The text flows linearly without... | no | <count>0</count> | The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and reasoning backward to determine the necessary steps to achieve it. In the given text, the writer discusses the outcome of porting to Hugo, mentions some code and a formula, and ... | no | <count>0</count>. | 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 text appears to be a personal reflection on the process of porting to Hugo, with the writer expressing their thoughts and opinions on the outcome,... | yes | yes | computer science | Web Development and Graph Theory | The text mentions porting to Hugo, which is a static site generator, and discusses some issues with the current state of the website, such as slow performance and design problems. This indicates that the text is related to web development. Additionally, the text includes a graph defined in the DOT language and a mathem... | ||
http://www.sciforums.com/threads/sugar-to-methane.84489/page-5 | # Sugar to Methane?
Discussion in 'General Science & Technology' started by Carcano, Aug 23, 2008.
Not open for further replies.
1. ### Billy TUse Sugar Cane Alcohol car FuelValued Senior Member
Messages:
23,198
NG is obviously finite and will be more expensive, but that is not the same as "tapped and done." Probabl... | 2018-09-21 19:53:40 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The text provided is a discussion forum where users are exchanging ideas and opinions on the topic of sugar to methane. While the conversation takes different turns and users respond to eac... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Energy and Fuel Technology
## Rationale
The text discusses the limitations and potential of natural gas (NG) as a fuel source, the challenges of extracting remai... | <|start_header_id|>assistant<|end_header_id|>
## Does verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text is a discussion forum where users are sharing their opinions and ideas about alternative energy sources, such as natural gas and ethanol. While the users prov... | <|start_header_id|>assistant<|end_header_id|>
## Does answer verification?
no
## Number of answer verification steps
<count>0</count>.
## Rationale
The provided text is a discussion forum about energy sources, natural gas, and alternative fuels. The conversation involves multiple users sharing their opinions, experi... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The text provided is a discussion forum on the topic of energy sources, specifically natural gas, oil, and alternative fuels. The conversation involves v... | no | <count>0</count>. | The text provided is a discussion forum where users are exchanging ideas and opinions on the topic of sugar to methane. While the conversation takes different turns and users respond to each other's points, there is no explicit instance of a user realizing a path won't work and going back to try a different approach. T... | no | <count>0</count> | The text provided is a discussion forum on the topic of energy sources, specifically natural gas, oil, and alternative fuels. The conversation involves various participants sharing their opinions, experiences, and information on the subject. Upon analyzing the text, there is no evidence of backward-chaining behavior, w... | no | <count>0</count>. | The provided text is a discussion forum where users are sharing their opinions and ideas about alternative energy sources, such as natural gas and ethanol. While the users provide various statistics, quotes, and examples to support their arguments, there are no explicit verification steps where they check their own wor... | yes | yes | science | Energy and Fuel Technology | The text discusses the limitations and potential of natural gas (NG) as a fuel source, the challenges of extracting remaining NG reserves, and the potential for alternative fuels such as ethanol and biodiesel. The conversation also touches on the importance of improving combustion efficiency and the potential for new t... | ||
https://en-academic.com/dic.nsf/enwiki/30707 | # Union (set theory)
Union (set theory)
Union of two sets:
$~A \cup B$
Union of three sets:
$~A \cup B \cup C$
In set theory, the union (denoted as ∪) of a collection of sets is the set of all distinct elements in the collection.[1] The union of a collection of sets $S_1, S_2, S_3, \dots , S_n\,\!$ gives a set $S_1 \... | 2021-05-11 04:49:58 | {"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": 0, "img_math": 14, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a formal and structured presentation of the concept of union in set theory, with definitions, examples, and explanations.... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
no
## Text domain (broad)
math
## Text domain (specific)
Set Theory
## Rationale
The text provided is a detailed explanation of the concept of union in set theory, including its definition, properties, and various forms. It... | <|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 descr... | <|start_header_id|>assistant<|end_header_id|>
## Does the text exhibit backward chaining?
no
## Number of backward chaining instances
<count>0</count>
## Rationale
The provided text is a descriptive article about set theory, explaining various concepts and operations related to sets. It does not exhibit backward-cha... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. It is a formal and structured presentation of the concept of union in set theory, with definitions, examples, and explanations. The text follows a logical and sequential approach, without any instances of the writer abandoning a thought or approach and tryin... | no | <count>0</count> | The provided text is a descriptive article about set theory, explaining various concepts and operations related to sets. It does not exhibit backward-chaining behavior, which involves working towards a goal by starting from the goal and reasoning backward. The text is primarily expository and definitional, aiming to in... | no | <count>0</count>. | 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 a calculation. The text is primarily descriptive and explanatory, focusing on defining and discussing the concept of union in set theory, withou... | no | no | math | Set Theory | The text provided is a detailed explanation of the concept of union in set theory, including its definition, properties, and various forms. It does not present a specific problem to be solved, but rather provides a comprehensive overview of the topic, making it an informational or educational text rather than a problem... | What is the definition of the union of two sets in set theory? | <think>I need to find the definition of the union of two sets. The text mentions that the union of two sets A and B is the collection of points which are in A or in B (or in both). I should also note that the union is denoted as ∪. I'll make sure to include the formal notation provided in the text as well.</think>
<ans... |
https://openrheumatologyjournal.com/VOLUME/11/PAGE/123/FULLTEXT/ | Dose Escalation and Co-therapy Intensification Between Etanercept, Adalimumab, and Infliximab: The CADURA Study
Carter Thorne1, Gilles Boire2, Andrew Chow3, Kirsten Garces4, Fang Liu5, Melanie Poulin-Costello4, Valery Walker5, *, Boulos Haraoui6
1 The Arthritis Program Research Group, Southlake Regional Health Centre,... | 2019-06-19 11:43:26 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a well-structured academic article that presents a clear introduction, methods, results, and conclusion without any insta... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Rheumatology, Pharmacology
## Rationale
The text discusses a study comparing the effectiveness and costs of three anti-TNF agents (etanercept, adalimumab, and 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 checking the result of a calcu... | <|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 resea... | <|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... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. It is a well-structured academic article that presents a clear introduction, methods, results, and conclusion without any instances of the author abandoning a thought or approach and trying a different one. The text follows a logical flow, and the author pre... | no | <count>0</count> | The text provided does not exhibit backward-chaining behavior. Backward chaining involves working towards a goal by starting from the goal and then figuring out the steps needed to achieve it. In this text, the authors present a study on the comparison of dose escalation and co-therapy intensification between three bio... | no | <count>0</count>. | 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 result of a calculation. The text appears to be a research study discussing the comparison of dose escalation and co-therapy intensification between different bi... | yes | yes | science | Rheumatology, Pharmacology | The text discusses a study comparing the effectiveness and costs of three anti-TNF agents (etanercept, adalimumab, and infliximab) in treating rheumatoid arthritis. The problem is the need to manage rheumatoid arthritis effectively while minimizing costs and adverse effects. The solution is the comparison of these thre... | What were the differences in dose escalation, co-therapy intensification, and switching patterns between etanercept, adalimumab, and infliximab for rheumatoid arthritis patients in the CADURA study? | <think>I need to find the differences in dose escalation, co-therapy intensification, and switching patterns between the three drugs. I see that the study compared etanercept, adalimumab, and infliximab. I should look at the results section to find the specific differences. I see that no dose escalation occurred with e... |
https://c306.net/spkeasy/2019/til-line-breaks-in-markdown/ | # TIL: Line breaks in markdown
I’ve been using markdown for writing for years, yet this one bit bugged me—I couldn’t get a line break (as against a paragraph break) in text.
Finally figured this out yesterday, and it is so so simple:
Place two spaces at the end of a line, and markdown will insert a line break.
This... | 2019-12-13 12:51:39 | {"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 writer does not exhibit any backtracking behavior in the text. They present a problem, provide a solution, and reflect on their experience without abandoning any thoughts or trying alter... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
english
## Text domain (specific)
Markdown formatting
## Rationale
The text describes a problem the author faced with markdown formatting, specifically inserting line breaks, and then provides a ... | <|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, such as comparing the result to a known value or checking the result of a calc... | <|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 model breaks down the problem into smaller, intermediate goals. The text is a personal anecdote about d... | <|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 sharing a personal experience of discovering how to create a line break in markdown, ... | no | <count>0</count> | The writer does not exhibit any backtracking behavior in the text. They present a problem, provide a solution, and reflect on their experience without abandoning any thoughts or trying alternative approaches. The text is a straightforward sharing of information and does not contain phrases like "Let me try again" or "W... | no | <count>0</count> | The text does not exhibit backward-chaining behavior. The writer is sharing a personal experience of discovering how to create a line break in markdown, and the text follows a linear narrative structure. The writer starts by describing the problem, then shares the solution, and finally reflects on how simple it was to ... | no | <count>0</count>. | The text does not contain any explicit verification steps where the writer checks their own work, such as comparing the result to a known value or checking the result of a calculation. The writer simply states that they have found a solution to their problem with line breaks in markdown and describes the solution, but ... | yes | yes | english | Markdown formatting | The text describes a problem the author faced with markdown formatting, specifically inserting line breaks, and then provides a solution to this problem by explaining that placing two spaces at the end of a line will insert a line break. The author's tone and language, such as "this one bit bugged me" and "Finally figu... | How do you create a line break in markdown? | <think>I've been struggling with this for years, trying to figure out how to get a line break without creating a new paragraph. I've been using `<br/>` tags, but that's not ideal. Finally, I found out that placing two spaces at the end of a line does the trick. I'm backtracking a bit to verify this, trying it out in di... |
https://www.jstage.jst.go.jp/article/transfun/E100.A/1/E100.A_62/_article | IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Special Section on Cryptography and Information Security
A Weil Pairing on a Family of Genus 2 Hyperelliptic Curves with Efficiently Computable Automorphisms
Masahiro ISHIIAtsuo INOMATA... | 2022-12-02 07:28:21 | {"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 is a formal academic abstract that presents a new variant of Weil pairing and compares its efficiency with other pairings. T... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
no
## Contains Solution?
yes
## Text domain (broad)
science
## Text domain (specific)
Cryptography and Computer Science, specifically Hyperelliptic Curves and Pairing-Based Cryptography
## Rationale
The text appears to be a research paper abstract,... | <|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 journal article abstract and does not contain any explicit verification steps, such as comparing results to known values or checking calculati... | <|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 research paper abstract and does not contain any explicit subgoal setting or answer verification steps. The text presents the main cont... | <|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 summary of a research paper on cryptography and information security. The authors present their work on a new variant o... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. It is a formal academic abstract that presents a new variant of Weil pairing and compares its efficiency with other pairings. The text follows a logical and linear structure, without any instances of the author abandoning a thought or approach and trying a d... | no | <count>0</count> | The provided text appears to be a summary of a research paper on cryptography and information security. The authors present their work on a new variant of Weil pairing and compare its efficiency with other existing pairings. The text follows a straightforward structure, starting with an introduction to the topic, prese... | no | <count>0</count>. | The provided text appears to be a journal article abstract and does not contain any explicit verification steps, such as comparing results to known values or checking calculations. The text presents the authors' claims and comparisons of their pairing with other variants, but it does not describe any process of verifyi... | no | yes | science | Cryptography and Computer Science, specifically Hyperelliptic Curves and Pairing-Based Cryptography | The text appears to be a research paper abstract, and it presents a new variant of Weil pairing on a family of genus 2 hyperelliptic curves, along with its algebraic cost estimation and comparisons to other pairings. The text does not explicitly state a problem, but rather presents a solution (the new pairing) and its ... | ||
https://alpaykaya.wordpress.com/2013/07/08/what-price-leverage/ | # Alpay Kaya, CFA
La vérité existe. On n'invente que le mensonge. —Braque (Truth exists. One only invents falsehood.)
# What Price Leverage? (Excerpt from Leveraged ETFs)
From Sec. 4.3.1 “Effective Log Leverage”
The difference between an exponentially leveraged system (eLETF) and ‘normal’ leveraged fund (LETF) can a... | 2017-05-01 06:04:37 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 11, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... | <|start_header_id|>assistant<|end_header_id|>
## Does backtrack?
no
## Number of backtrack steps
<count>0</count>.
## Rationale
The provided text does not exhibit any backtracking behavior. It is a formal and technical excerpt from a financial text, presenting equations, definitions, and explanations in a linear and... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math/science
## Text domain (specific)
Financial Mathematics, specifically Leveraged Exchange-Traded Funds (LETFs)
## Rationale
The text discusses the concept of effective log leverage in the con... | <|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 results to known values or checking the result of a calculati... | <|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 exce... | <|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 excerpt from a financial article discussing leveraged ETFs and their effective log leverage. The author presents mathematical equ... | no | <count>0</count>. | The provided text does not exhibit any backtracking behavior. It is a formal and technical excerpt from a financial text, presenting equations, definitions, and explanations in a linear and logical manner. There are no instances where the writer abandons a thought or approach and explicitly goes back to try a different... | no | <count>0</count> | The text provided is an excerpt from a financial article discussing leveraged ETFs and their effective log leverage. The author presents mathematical equations and explanations to illustrate the relationship between different types of ETFs. The text follows a logical and sequential structure, starting with definitions ... | no | <count>0</count>. | The provided text does not contain explicit verification steps where the writer checks their own work by comparing results to known values or checking the result of a calculation. The text presents mathematical derivations, definitions, and explanations of concepts related to leveraged ETFs, but it does not include ins... | yes | yes | math/science | Financial Mathematics, specifically Leveraged Exchange-Traded Funds (LETFs) | The text discusses the concept of effective log leverage in the context of leveraged ETFs, which is a specific problem in financial mathematics. The author presents a mathematical framework to understand the difference between exponentially leveraged systems and 'normal' leveraged funds, and provides equations to expre... | ||
https://cbsemathssolutions.in/lateral-surface-area-cuboid-formula/ | # Lateral surface area of cuboid formula explained
Learn and know the formula for lateral surface area of cuboid. Cuboid has 3 important formulas. One is volume of cuboid, second is lateral surface area and third one is total surface area.
All the 3 formulas are very important in mensuration. One plus point is that i... | 2020-04-10 11:54:23 | {"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 text provided is a straightforward explanation of the lateral surface area of a cuboid, including its definition, formula, and an example. There are no instances where the writer abando... | <|start_header_id|>assistant<|end_header_id|>
## Contains Problem?
yes
## Contains Solution?
yes
## Text domain (broad)
math
## Text domain (specific)
Geometry, specifically Mensuration and 3D Shapes
## Rationale
The text provides a problem in the form of an example, where the dimensions of a cuboid are given and ... | <|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?
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 is primarily explanatory, providi... | <|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 introducing the concept of a cuboid and its formulas, then defines what a cubo... | no | <count>0</count>. | The text provided is a straightforward explanation of the lateral surface area of a cuboid, including its definition, formula, and an example. There are no instances where the writer abandons a thought or approach and backtracks to try a different one. The text follows a logical and sequential structure, introducing co... | no | <count>0</count> | The text does not exhibit backward-chaining behavior. The writer starts by introducing the concept of a cuboid and its formulas, then defines what a cuboid is, and finally explains the formula for lateral surface area. The writer proceeds in a logical and sequential manner, starting from the basics and building up to t... | no | <count>0</count>. | 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 calculation. The text provides a formula for the lateral surface area of a cuboid and applies it to an example, but it does not verify the result again... | yes | yes | math | Geometry, specifically Mensuration and 3D Shapes | The text provides a problem in the form of an example, where the dimensions of a cuboid are given and the reader is asked to find its lateral surface area. The solution to this problem is then provided, along with a detailed explanation of the formula and concept of lateral surface area of a cuboid. This indicates that... |
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