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http://shop.track-it.nz/6bowhhs1/properties-of-matrix-addition-346a66
Commutative Property Of Addition 2. If A is an n×m matrix and O is a m×k zero-matrix, then we have: AO = O Note that AO is the n×k zero-matrix. Matrix Matrix Multiplication 11:09. We have 1. To understand the properties of transpose matrix, we will take two matrices A and B which have equal order. The identity matrix i...
2021-09-28T02:16:51
{ "domain": "track-it.nz", "url": "http://shop.track-it.nz/6bowhhs1/properties-of-matrix-addition-346a66", "openwebmath_score": 0.7671064734458923, "openwebmath_perplexity": 360.7558924577382, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. Yes\n2. Yes\n\n", "lm_q1_score": 0.9914225156000334, "lm_q2_score":...
https://math.stackexchange.com/questions/2922644/comparing-the-magnitudes-of-expressions-of-surds
# Comparing the magnitudes of expressions of surds I recently tackled some questions on maths-challenge / maths-aptitude papers where the task was to order various expressions made up of surds (without a calculator, obviously). I found myself wondering whether I was relying too much on knowing the numerical value of ...
2021-10-19T03:38:04
{ "domain": "stackexchange.com", "url": "https://math.stackexchange.com/questions/2922644/comparing-the-magnitudes-of-expressions-of-surds", "openwebmath_score": 0.7826164364814758, "openwebmath_perplexity": 198.0380721381055, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. YES\n2. YES", "lm_q1_score": 0.9905...
https://math.stackexchange.com/questions/1693964/in-calculus-how-can-a-function-have-several-different-yet-equal-derivatives
# In Calculus, how can a function have several different, yet equal, derivatives? I've been pondering this question all night as I work through some problems, and after a very thorough search, I haven't found anything completely related to my question. I guess i'm also curious how some derivatives are simplified as we...
2019-04-24T06:18:11
{ "domain": "stackexchange.com", "url": "https://math.stackexchange.com/questions/1693964/in-calculus-how-can-a-function-have-several-different-yet-equal-derivatives", "openwebmath_score": 0.8208966851234436, "openwebmath_perplexity": 249.28708375250756, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. YES\n2. Y...
http://mathhelpforum.com/algebra/8958-working-backwards-cubics.html
# Math Help - working backwards - cubics 1. ## working backwards - cubics Write an equation that has the following roots: 2, -1, 5 Answer key: x^3 - 6x^2 + 3x + 10 = 0 For quadratic equations, I use the sum and product of roots, this is a cubic equation, how do I solve this? Thanks. 2. Originally Posted by shento...
2014-09-19T23:58:39
{ "domain": "mathhelpforum.com", "url": "http://mathhelpforum.com/algebra/8958-working-backwards-cubics.html", "openwebmath_score": 0.8881317973136902, "openwebmath_perplexity": 861.8028331615614, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. YES\n2. YES\n\n", "lm_q1_score": 0.9914225133191064, "lm_q2_sco...
https://math.stackexchange.com/questions/202052/work-and-time-when-work-is-split-into-parts
# Work and time, when work is split into parts I'm stuck on a particular type of work and time problems. For example, 1) A,B,C can complete a work separately in 24,36 and 48 days. They started working together but C left after 4 days of start and A left 3 days before completion of the work. In how many days will the...
2019-04-26T15:57:27
{ "domain": "stackexchange.com", "url": "https://math.stackexchange.com/questions/202052/work-and-time-when-work-is-split-into-parts", "openwebmath_score": 0.6277446150779724, "openwebmath_perplexity": 439.837859763646, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. Yes\n2. Yes", "lm_q1_score": 0.99058741263...
https://brilliant.org/discussions/thread/algebraic-manipulation/
# Algebraic Manipulation ## Definition Algebraic manipulation involves rearranging variables to make an algebraic expression better suit your needs. During this rearrangement, the value of the expression does not change. ## Technique Algebraic expressions aren't always given in their most convenient forms. This is ...
2018-04-22T10:22:09
{ "domain": "brilliant.org", "url": "https://brilliant.org/discussions/thread/algebraic-manipulation/", "openwebmath_score": 1.0000100135803223, "openwebmath_perplexity": 2798.1191500231757, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. Yes\n2. Yes\n\n", "lm_q1_score": 0.9899864287859482, "lm_q2_score": 0...
https://math.stackexchange.com/questions/4454637/inequality-involving-sums-with-binomial-coefficient
Inequality involving sums with binomial coefficient I am trying to show upper- and lower-bounds on $$\frac{1}{2^n}\sum_{i=0}^n\binom{n}{i}\min(i, n-i)$$ (where $$n\geq 1$$) in order to show that it basically grows as $$\Theta(n)$$. The upper-bound is easy to get since $$\min(i, n-i)\leq i$$ for $$i\in\{0, \dots n\}...
2022-06-26T11:34:07
{ "domain": "stackexchange.com", "url": "https://math.stackexchange.com/questions/4454637/inequality-involving-sums-with-binomial-coefficient", "openwebmath_score": 0.9992073178291321, "openwebmath_perplexity": 304.1227486557242, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. YES\n2. YES", "lm_q1_score": 0.9...
http://fileppi.com/mjau20u/product-of-matrix-5feeab
The main condition of matrix multiplication is that the number of columns of the 1st matrix must equal to the number of rows of the 2nd one. The dimensions of $B$ are $3\times 2$ and the dimensions of $A$ are $2\times 3$. The dot product involves multiplying the corresponding elements in the row of the first matrix, by...
2022-07-02T14:42:21
{ "domain": "fileppi.com", "url": "http://fileppi.com/mjau20u/product-of-matrix-5feeab", "openwebmath_score": 0.8542640209197998, "openwebmath_perplexity": 590.7593543781824, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. Yes\n2. Yes", "lm_q1_score": 0.990731985524492, "lm_q2_score": 0.9372107878954105, ...
https://math.stackexchange.com/questions/2893117/definite-integral-int-01-frac-ln4xx21-dx
# Definite Integral: $\int_0^1\frac{\ln^4(x)}{x^2+1}\,dx$ I'm trying to derive a closed-form expression for $$I=\int_0^1\frac{\ln^4(x)}{x^2+1}\,dx$$ Letting $u=-\ln(x), x=e^{-u}, dx=-e^{-u}\,du$ yields $$I=\int_0^{\infty}\frac{u^4e^{-u}}{e^{-2u}+1}\,du$$ Setting $u\to-u$ and manipulating the integrands yield $$I=...
2019-08-24T09:30:21
{ "domain": "stackexchange.com", "url": "https://math.stackexchange.com/questions/2893117/definite-integral-int-01-frac-ln4xx21-dx", "openwebmath_score": 0.9958059787750244, "openwebmath_perplexity": 907.547974804488, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. YES\n2. YES", "lm_q1_score": 0.9888419667789...
https://math.stackexchange.com/questions/1217594/divisibility-rule-for-9
# Divisibility Rule for 9 I'm working through an elementary number theory course right now and I think I've come up with a proof here but wanted some feedback on my logic. Question: If the sum of the digits in base 10 is divisible by 9, then the number itself is divisible by 9. Proof: Suppose that $9|d_1+d_2+...+d_n...
2020-01-26T03:01:52
{ "domain": "stackexchange.com", "url": "https://math.stackexchange.com/questions/1217594/divisibility-rule-for-9", "openwebmath_score": 0.834643542766571, "openwebmath_perplexity": 168.80065897347535, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. YES\n2. YES", "lm_q1_score": 0.9875683469514965, "lm_q2_sc...
https://mathhelpboards.com/threads/what-is-the-remainder-when-a_-2013-is-divided-by-7.5195/
# What is the remainder when a_{2013} is divided by 7? #### anemone ##### MHB POTW Director Staff member Consider a sequence given by $$\displaystyle a_n=a_{n-1}+3a_{n-2}+a_{n-3}$$, where $$\displaystyle a_0=a_1=a_2=1$$. What is the remainder of $$\displaystyle a_{2013}$$ divided by $$\displaystyle 7$$? #### chisig...
2021-06-13T11:35:22
{ "domain": "mathhelpboards.com", "url": "https://mathhelpboards.com/threads/what-is-the-remainder-when-a_-2013-is-divided-by-7.5195/", "openwebmath_score": 0.9229724407196045, "openwebmath_perplexity": 998.2764884749569, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. YES\n2. YES", "lm_q1_score": 0.987568346...
http://nizm.bwni.pw/interval-of-convergence-alternating-series.html
The radius of convergence is half the length of the interval of convergence. We noticed that, at least in the case of the geometric series, there was an interval in which it converged, but it didn’t converge at the endpoints. Show that the following alternating harmonic series converges: Series of Both Positive and Neg...
2019-12-08T10:57:03
{ "domain": "bwni.pw", "url": "http://nizm.bwni.pw/interval-of-convergence-alternating-series.html", "openwebmath_score": 0.9055711030960083, "openwebmath_perplexity": 325.46529907420165, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. Yes\n2. Yes", "lm_q1_score": 0.9911526449170697, "lm_q2_score": 0.931462...
http://mathhelpforum.com/trigonometry/36050-trigonometry-three-dimensional-question.html
# Math Help - Trigonometry three dimensional question 1. ## Trigonometry three dimensional question I need help to solve: A cylinder with radius 4 cm and perpendicular height 15 cm is tilted so that it will just fit inside a 12 cm high box. At what angle must it be tilted? Answer given at the back of the text book i...
2014-09-03T02:41:40
{ "domain": "mathhelpforum.com", "url": "http://mathhelpforum.com/trigonometry/36050-trigonometry-three-dimensional-question.html", "openwebmath_score": 0.8148919343948364, "openwebmath_perplexity": 1087.1382273861045, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. YES\n2. YES", "lm_q1_score": 0.987758722546...
https://brilliant.org/discussions/thread/golden-ratio-and-fibonacci-numbers/
# Golden Ratio and Fibonacci Numbers Golden Ratio is considered to be one of the greatest beauties in mathematics. Two numbers $$a$$ and $$b$$ are said to be in Golden Ratio if $a>b>0,\quad and\quad \frac { a }{ b } =\frac { a+b }{ a }$ If we consider this ratio to be equal to some $$\varphi$$ then we have $\varphi =\...
2018-11-18T00:53:39
{ "domain": "brilliant.org", "url": "https://brilliant.org/discussions/thread/golden-ratio-and-fibonacci-numbers/", "openwebmath_score": 0.9912343621253967, "openwebmath_perplexity": 1404.0567632852903, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. Yes\n2. Yes\n\n", "lm_q1_score": 0.9928785708328176, "lm_...
https://www.physicsforums.com/threads/evaluating-triple-integral.74665/
# Evaluating Triple integral 1. May 7, 2005 ### MattL I'm having trouble with evaluating [Triple Integral] |xyz| dx dy dz over the region (x/a)^2 + (y/b)^2 + (z/c)^2 <= 1 Do I need to use some sort of parametrisation for the region, and is there some way of dealing with the absolute value function without integra...
2017-02-28T06:21:29
{ "domain": "physicsforums.com", "url": "https://www.physicsforums.com/threads/evaluating-triple-integral.74665/", "openwebmath_score": 0.8912019729614258, "openwebmath_perplexity": 2048.3631483177724, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. YES\n2. YES", "lm_q1_score": 0.9886682461347528, "lm_q2_sc...
https://math.stackexchange.com/questions/3902158/proving-or-disproving-basic-facts-about-sequences-in-real-analysis
# Proving or disproving basic facts about sequences in Real Analysis I am self-learning real analysis from Stephen Abott's Understanding Analysis. In Exercise 2.3.7, the author asks to prove or disprove basic results on convergence. I'd like to verify my solution, to ensure, I've understood the concepts, and if proof ...
2021-06-14T22:35:06
{ "domain": "stackexchange.com", "url": "https://math.stackexchange.com/questions/3902158/proving-or-disproving-basic-facts-about-sequences-in-real-analysis", "openwebmath_score": 0.9983892440795898, "openwebmath_perplexity": 362.8878785207784, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. YES\n2. YES", "lm...
http://ruthling.net/uzvrgd5v/diagonal-matrix-and-scalar-matrix-c4efad
Is it true that the only matrix that is similar to a scalar matrix is itself Hot Network Questions Was the title "Prince of Wales" originally claimed for the English crown prince via a trick? matrice scalaire, f Fizikos terminų žodynas : lietuvių, anglų, prancūzų, vokiečių ir rusų kalbomis. An example of a diagonal mat...
2021-12-03T12:58:17
{ "domain": "ruthling.net", "url": "http://ruthling.net/uzvrgd5v/diagonal-matrix-and-scalar-matrix-c4efad", "openwebmath_score": 0.7514483332633972, "openwebmath_perplexity": 773.2012659838158, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. Yes\n2. Yes\n\n", "lm_q1_score": 0.9869795075882267, "lm_q2_score"...
https://www.jiskha.com/display.cgi?id=1285006413
posted by Dina Simplify the expression. 3 [ (15 - 3)^2 / 4] a. 36 b. 108 c. 18 d. 9 1. TutorCat http://www.jiskha.com/display.cgi?id=1285004701 2. Dina ???108 3. PsyDAG 3 (12^2/4) = 3 (144/4) = 3 * 36 = 108 Yes! ## Similar Questions 1. ### Math(radicals or square roots) i need a explanation for this equatio...
2018-05-22T10:08:59
{ "domain": "jiskha.com", "url": "https://www.jiskha.com/display.cgi?id=1285006413", "openwebmath_score": 0.8123717308044434, "openwebmath_perplexity": 5641.519988287871, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. Yes\n2. Yes\n\n", "lm_q1_score": 0.978712648206549, "lm_q2_score": 0.9381240077890602, ...
https://math.stackexchange.com/questions/3363106/is-ln-natural-log-and-log-the-same-thing-if-used-in-this-answer
# Is “ln” (natural log) and “log” the same thing if used in this answer? Find $$x$$ for $$4^{x-4} = 7$$. Answer I got, using log, was $${\log(7)\over 2\log(2)} + 4$$ but the actual answer was $${\ln(7)\over2\ln(2)} + 4$$ I plugged both in my calculator and turns out both are the equivalent value. Anyways, is using...
2019-10-22T18:42:10
{ "domain": "stackexchange.com", "url": "https://math.stackexchange.com/questions/3363106/is-ln-natural-log-and-log-the-same-thing-if-used-in-this-answer", "openwebmath_score": 0.9673437476158142, "openwebmath_perplexity": 521.0709233760114, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. YES\n2. YES", "lm_q1...
https://math.stackexchange.com/questions/3231585/a-n-be-a-sequence-such-that-a-n12-2a-na-n1-a-n-0-then-sum-1/3231653
# $\{a_n\}$ be a sequence such that $a_{n+1}^2-2a_na_{n+1}-a_n=0$, then $\sum_1^{\infty}\frac{a_n}{3^n}$ lies in… Let $$\{a_n\}$$ be a sequence of positive real numbers such that $$a_1 =1,\ \ a_{n+1}^2-2a_na_{n+1}-a_n=0, \ \ \forall n\geq 1$$. Then the sum of the series $$\sum_1^{\infty}\frac{a_n}{3^n}$$ lies in... ...
2021-06-14T12:38:23
{ "domain": "stackexchange.com", "url": "https://math.stackexchange.com/questions/3231585/a-n-be-a-sequence-such-that-a-n12-2a-na-n1-a-n-0-then-sum-1/3231653", "openwebmath_score": 0.9380605816841125, "openwebmath_perplexity": 273.7343699614015, "lm_name": "Qwen/Qwen-72B", "lm_label": "1. YES\n2. YES", "l...
End of preview. Expand in Data Studio

🎉 This work, introducing the AutoMathText dataset and the AutoDS method, has been accepted to The 63rd Annual Meeting of the Association for Computational Linguistics (ACL 2025 Findings)! 🎉

AutoMathText

AutoMathText is an extensive and carefully curated dataset encompassing around 200 GB of mathematical texts. It's a compilation sourced from a diverse range of platforms including various websites, arXiv, and GitHub (OpenWebMath, RedPajama, Algebraic Stack). This rich repository has been autonomously selected (labeled) by the state-of-the-art open-source language model, Qwen-72B. Each piece of content in the dataset is assigned a score lm_q1q2_score within the range of [0, 1], reflecting its relevance, quality and educational value in the context of mathematical intelligence.

GitHub homepage: https://github.com/yifanzhang-pro/AutoMathText

ArXiv paper: https://huggingface.co/papers/2402.07625 (https://arxiv.org/abs/2402.07625)

Objective

The primary aim of the AutoMathText dataset is to provide a comprehensive and reliable resource for a wide array of users - from academic researchers and educators to AI practitioners and mathematics enthusiasts. This dataset is particularly geared towards:

  • Facilitating advanced research in the intersection of mathematics and artificial intelligence.
  • Serving as an educational tool for learning and teaching complex mathematical concepts.
  • Providing a foundation for developing and training AI models specialized in processing and understanding mathematical content.

Configs

configs:
  - config_name: web-0.50-to-1.00
    data_files:
      - split: train
        path:
          - data/web/0.95-1.00.jsonl
          - data/web/0.90-0.95.jsonl
          - ...
          - data/web/0.50-0.55.jsonl
    default: true
  - config_name: web-0.60-to-1.00
  - config_name: web-0.70-to-1.00
  - config_name: web-0.80-to-1.00
  - config_name: web-full
    data_files: data/web/*.jsonl
  - config_name: arxiv-0.50-to-1.00
    data_files:
      - split: train
        path:
          - data/arxiv/0.90-1.00/*.jsonl
          - ...
          - data/arxiv/0.50-0.60/*.jsonl
  - config_name: arxiv-0.60-to-1.00
  - config_name: arxiv-0.70-to-1.00
  - config_name: arxiv-0.80-to-1.00
  - config_name: arxiv-full
    data_files: data/arxiv/*/*.jsonl
  - config_name: code-0.50-to-1.00
    data_files:
      - split: train
        path:
          - data/code/*/0.95-1.00.jsonl
          - ...
          - data/code/*/0.50-0.55.jsonl
  - config_name: code-python-0.50-to-1.00
      - split: train
        path:
          - data/code/python/0.95-1.00.jsonl
          - ...
          - data/code/python/0.50-0.55.jsonl
  - config_name: code-python-0.60-to-1.00
  - config_name: code-python-0.70-to-1.00
  - config_name: code-python-0.80-to-1.00
  - config_name: code-jupyter-notebook-0.50-to-1.00
      - split: train
        path:
          - data/code/jupyter-notebook/0.95-1.00.jsonl
          - ...
          - data/code/jupyter-notebook/0.50-0.55.jsonl
  - config_name: code-jupyter-notebook-0.60-to-1.00
  - config_name: code-jupyter-notebook-0.70-to-1.00
  - config_name: code-jupyter-notebook-0.80-to-1.00
  - config_name: code-full
    data_files: data/code/*/*.jsonl

How to load data:

from datasets import load_dataset

ds = load_dataset("math-ai/AutoMathText", "web-0.50-to-1.00") # or any valid config_name

Features

  • Volume: Approximately 200 GB of text data (in natural language and programming language).
  • Content: A diverse collection of mathematical texts, including but not limited to research papers, educational articles, and code documentation.
  • Labeling: Every text is scored by Qwen-72B, a sophisticated language model, ensuring a high standard of relevance and accuracy.
  • Scope: Covers a wide spectrum of mathematical topics, making it suitable for various applications in advanced research and education.

References

Citation

We appreciate your use of AutoMathText in your work. If you find this repository helpful, please consider citing it and star this repo. Feel free to contact yifanzhangresearch@gmail.com or open an issue if you have any questions (GitHub homepage: https://github.com/yifanzhang-pro/AutoMathText).

@article{zhang2025autonomous,
      title={Autonomous Data Selection with Zero-shot Generative Classifiers for Mathematical Texts},
      author={Zhang, Yifan and Luo, Yifan and Yuan, Yang and Yao, Andrew Chi-Chih},
      journal={The 63rd Annual Meeting of the Association for Computational Linguistics (ACL 2025 Findings)},
      year={2025}
}
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