OpenWebMath: An Open Dataset of High-Quality Mathematical Web Text
Paper • 2310.06786 • Published • 4
Datasets:
url stringlengths 13 5.47k | text stringlengths 100 209k | date stringdate 2013-05-18 05:09:00 2023-04-02 13:33:14 | metadata stringlengths 1.05k 1.11k |
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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... |
https://www.transtutors.com/questions/set-up-a-definite-integral-that-represents-the-length-of-the-curve-y-x-cos-x--5375990.htm | # Set up a definite integral that represents the length of the curve y = x + cos x...
Set up a definite integral that represents the length of the curve y = x + cos x for 0 5 x 5 it. Then use your calculator to find the length rounded off to four decimal places. Note: x is given in radians.
Attachments:
## Plagiaris... | 2020-05-25 13:54:58 | {"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... |
https://eurekamathanswers.com/use-of-integers/ | An integer is a number that includes 0, positive numbers, and negative numbers. It can never be a fraction, decimal, or percent. Integers are mainly used in our day-to-day lives in mathematical terms. Get to know the definition, operations, and use of integers in the below-mentioned sections. Also, get the example ques... | 2022-01-22 09:07:35 | {"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... |
https://www.transtutors.com/questions/consider-the-following-multilayer-perceptron-network-the-transfer-function-of-the-hi-2011189.htm | Consider the following multilayer perceptron network. (The transfer function of the hidden layer...
Consider the following multilayer perceptron network. (The transfer function of the hidden layer is
The initial weights and biases are:
Perform one iteration of the standard steepest descent backpropagation (use matri... | 2021-04-21 06:04:06 | {"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... |
https://www.effortlessmath.com/math-puzzles/algebra-puzzle-challenge-50/ | # Algebra Puzzle – Challenge 50
This is another math puzzle and brain teaser that is interactive, challenging, and entertaining for those who love Math challenges!
## Challenge:
If 11 workers can build 11 cars in 11 days, then how many days would it take 7 workers to build 7 cars?
A- 7
B- 9
C- 11
D- 14
E- 18
#... | 2022-01-20 08:06:06 | {"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... |
https://matholympiad.org.bd/forum/viewtopic.php?f=13&t=3730&p=17063&hilit=weird+angle | ## BdMO National 2016 Secondary 3: Weird angle condition
Thanic Nur Samin
Posts: 176
Joined: Sun Dec 01, 2013 11:02 am
### BdMO National 2016 Secondary 3: Weird angle condition
In $\triangle ABC$, $AB=AC$. $P$ is a point inside the triangle such that $\angle BCP=30^{\circ}$ and $\angle APB=150^{\circ}$ and $\angle C... | 2021-04-15 16:36:12 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.logic.univie.ac.at/2014/Talk_10-09_a.html | # 2014 seminar talk: Maximal pseudocompactness and maximal countable compactness in the class of Tychonoff spaces
Talk held by Vladimir V. Tkachuk (Universidad Autónoma Metropolitana de México, Mexico City, Mexico) at the KGRC seminar on 2014-10-09.
### Abstract
This is a presentation of results obtained in 2013-201... | 2021-12-05 20:33:20 | {"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... |
http://www.solutioninn.com/an-experiment-consists-of-rolling-a-pair-of-six-sided | # Question
An experiment consists of rolling a pair of (six- sided) dice and observing the sum. This experiment is repeated until the sum of 7 is observed at which point the experiment stops. Let be the random variable which represents the number of times the experiment is repeated. That is, if the first occurrence of... | 2016-10-26 06:40:31 | {"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... |
https://soriavazquez.github.io/publication/hss-17/ | # Low cost constant round MPC combining BMR and oblivious transfer
### Abstract
In this work, we present two new actively secure, constant round multi-party computation (MPC)protocols with security against all-but-one corruptions. Our protocols both start with an actively secure MPC protocol, which may have linear ro... | 2021-02-27 07:14:37 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.chegg.com/homework-help/questions-and-answers/suppose-planet-reported-orbiting-sun-like-stariota-horologii-period-345days-find-radius-pl-q473794 | Suppose that a planet was reported to be orbiting the sun-like starIota Horologii with a period of 345days. Find the radius of the planet's orbit, assuming that IotaHorologii has twice the mass as theSun. (This planet is presumably similar to Jupiter, but it may havelarge, rocky moons that enjoy a pleasant climate.) (U... | 2016-07-27 20:44:19 | {"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... |
https://quantiki.org/journal-article/tunneling-transform-arxiv14112586v2-physicsgen-ph-updated | # The Tunneling Transform. (arXiv:1411.2586v2 [physics.gen-ph] UPDATED)
We supplement the Lorentz transform $L(v)$ with a new "Tunneling" transform
$T(v)$. Application of this new transform to elementary quantum mechanics
offers a novel, intuitive insight into the nature of quantum tunneling; in
particular, the so cal... | 2019-05-22 22:50:09 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/228112/how-to-show-that-closed-subset-of-mathbbr-is-not-compact-if-restricted-to | # How to show that closed subset of $\mathbb{R}$ is not compact if restricted to $\mathbb{Q}$
Basicly I need to show that $\mathbb{R}\cap[0,1]\cap\mathbb{Q}$ is not compact. I was looking at some posts on this topic and all, that I found, used the finite subcover definition of compact set. I wonder if it could be done... | 2016-07-02 09:52:59 | {"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... |
https://www.wptricks.com/question/ajax-wordpress-json-return-unknown-characters-fo-non-english-characters/ | ## ajax – WordPress JSON return unknown characters fo non English characters
Question
for a project i create an endpoint something like wp-json/HSE/v1/reports which return json file
everything is okey , also Engligh words , but for non English words i have real problem that its bring back something like u0645u0627u06... | 2021-06-23 14:46:49 | {"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... |
http://www.homermultitext.org/chsseminar/2018/scholion-markers/ | Indexing scholion markers
For the Upsilon 1.1 or Venetus B manuscripts, scholion markers within the Iliad text link passages in the Iliad to scholia. We need to record these after editing the scholia.
Create an index file
1. In your repository, please create a directory (folder) named scholion-markers
2. In the scho... | 2019-07-16 04:34:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.stackexchange.com/questions/246488/does-the-proportional-hazards-assumption-still-matter-if-the-covariate-is-time-d | # Does the proportional hazards assumption still matter if the covariate is time-dependent?
If I estimate a Cox Proportional Hazards model and my covariate of interest is dependent (continuous or categorical), does the proportional hazards assumption still matter? I recently went to a presentation where the speaker sa... | 2021-02-25 17:12:24 | {"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... |
https://cs.stackexchange.com/questions/83784/geometric-intuition-behind-vc-dimension | # Geometric intuition behind VC-dimension
Recently, I learnt about VC-dimension and how its boundedness assures PAC learnability on uncountable range spaces (let's assume that hypothesis class is the same as the family of concepts we want to learn).
My question is simple: What is/are the geometric intuition(s) behind... | 2021-11-29 17:04:00 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://study.com/academy/answer/a-circular-coil-has-500-turns-and-a-radius-14-cm-the-coil-is-moved-in-0-35-seconds-from-an-area-where-there-is-no-magnetic-field-into-an-area-with-a-magnetic-field-of-strength-6-7-times-10-2-t.html | # A circular coil has 500 turns and a radius 14 cm. The coil is moved in 0.35 seconds from an area...
## Question:
A circular coil has 500 turns and a radius 14 cm. The coil is moved in 0.35 seconds from an area where there is no magnetic field into an area with a magnetic field of strength {eq}6.7 \times 10^{-2}\ T ... | 2020-04-10 13:51:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.transtutors.com/questions/the-following-account-appears-in-the-ledger-after-only-part-281493.htm | # The following account appears in the ledger after only part
The following account appears in the ledger after only part of the postings has been completed for January:
Work in Process
Balance, January 1 …. $15,500 Direct materials ……… 86,200 Direct labor ………….. 64,300 Factory overhead …….. 93,700 Jobs finished durin... | 2020-01-25 12:24:11 | {"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... |
https://physics.stackexchange.com/questions/384111/scattering-absorption-emission-and-virtual-photons | # Scattering, absorption, emission and virtual photons
From reading many questions on this site I have the following conclusions:
1. Interaction of a photon and a free electron is an instantaneous process of scattering (transfer of momentum) between said particles.
2. Interaction of a photon and an electron bound in ... | 2021-02-27 19:32:33 | {"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... |
https://www.transtutors.com/questions/only-one-firm-produces-and-sells-soccer-balls-in-the-country-of-wiknam-and-as-the-st-3388736.htm | # Only one firm produces and sells soccer balls in the country of Wiknam, and as the story begins,... 1 answer below »
Only one firm produces and sells soccer balls in the country of Wiknam, and as the story begins, international trade in soccer balls is prohibited. The following equations describe the monopolist’s de... | 2021-05-14 07:29:59 | {"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... |
https://dls.westcollegescotland.ac.uk/mod/glossary/showentry.php?eid=22 | Question:
#### Can I use the College library and PCs?
(Last edited: Thursday, 29 April 2021, 12:43 PM) | 2022-06-24 22:08:05 | {"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... |
https://learn.saylor.org/course/view.php?id=67§ionid=636 | • ### Unit 5: Set Theory
Computer scientists often find themselves working with sets of homogeneous or heterogeneous values. Scientists have devised set theory in order to respond to these situations. In this unit, we will learn the basics of set theory, taking a look at definitions and notations and using the proof m... | 2019-09-19 17:55:45 | {"extraction_info": {"found_math": true, "script_math_tex": 36, "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... |
https://proofwiki.org/wiki/Equal_Angles_in_Equal_Circles | # Equal Angles in Equal Circles
## Theorem
In equal circles, equal angles stand on equal arcs, whether at the center or at the circumference of those circles.
In the words of Euclid:
In equal circles equal angles stand on equal circumferences, whether at the center or at the circumferences.
## Proof
Let $ABC$ and... | 2021-01-19 03:07:13 | {"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... |
https://eips.ethereum.org/ | # EIPs
Ethereum Improvement Proposals (EIPs) describe standards for the Ethereum platform, including core protocol specifications, client APIs, and contract standards. Network upgrades are discussed separately in the Ethereum Project Management repository.
## Contributing
First review EIP-1. Then clone the repositor... | 2022-08-18 07:27:40 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://koreascience.or.kr/article/JAKO199429464761872.page | # 가스분사반응기에서의 SO2 흡수 특성
• 최병선 (한국전력공사 기술연구원) ;
• 박승수 (한국전력공사 기술연구원) ;
• 김영환 (한국전력공사 기술연구원)
The optimum design conditions of gas sparger pipe and the effects of operating variables on $SO_2$ removal efficiency have been examined in Jet Bubbling Reactor. Geometry of gas sparser pipe of Jet Bubbling Reactor is a very impo... | 2021-03-06 17:12:44 | {"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": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/319532/angle-preserving-transformation | # Angle preserving transformation
I've been working on a problem where I need to know the angle between the tangent vectors of two curves at their intersection point in a flat torus...
Then I thought: Consider two geodesics $\gamma(t)$ and $\beta(t)$ in a flat torus, such that: $\gamma(0)=p=(\varphi _1,\theta_1)$, $\... | 2019-06-19 17:31:30 | {"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... |
https://www.doubtnut.com/question-answer/find-the-coordinates-of-the-point-which-divides-the-line-segment-joining-the-points-2-3-5and-1-4-6in-644361779 | # Find the coordinates of the point which divides the line segment joining the points ( 2, 3, 5)and (1, 4, 6)in the ratio (i) 2 : 3internally, (ii) 2 : 3externally.
Updated On: 17-04-2022
Get Answer to any question, just click a photo and upload the photo
and get the answer completely free, | 2022-05-18 20:40:49 | {"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... |
https://webwork.libretexts.org/webwork2/html2xml?answersSubmitted=0&sourceFilePath=Library/270/setDerivatives12MVT/c3s2p1.pg&problemSeed=1234567&courseID=anonymous&userID=anonymous&course_password=anonymous&showSummary=1&displayMode=MathJax&problemIdentifierPrefix=102&language=en&outputformat=libretexts | Consider the function Find the average slope of this function on the interval $( 0 , 2 )$.
By the Mean Value Theorem, we know there exists a $c$ in the open interval $( 0, 2 )$ such that $f'(c)$ is equal to this mean slope. Find the two values of $c$ in the interval which work, enter the smaller root first: $\le$ | 2022-08-14 01:13:12 | {"extraction_info": {"found_math": true, "script_math_tex": 6, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/261708/numerical-analysis-of-parabolic-obstacle-problem | # Numerical analysis of parabolic obstacle problem
I want to solve a parabolic obstacle problem, written as a variational inequality: For almost all $t\in [0,T]$
\begin{align*} \langle u'(t), v - u(t)\rangle +a(u(t),v-u(t)) \geq \langle f(t),v-u(t)\rangle \quad \forall v \in K \end{align*}
with $K = \{v \in H^1_0(\O... | 2021-05-11 13:21:59 | {"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... |
https://www.ideals.illinois.edu/handle/2142/96923 | ## Files in this item
FilesDescriptionFormat
application/vnd.openxmlformats-officedocument.presentationml.presentation
833824.pptx (4MB)
PresentationMicrosoft PowerPoint 2007
application/pdf
2272.pdf (14kB)
AbstractPDF
## Description
Title: A MOLECULAR FOUNTAIN Author(s): Cheng, Cunfeng Contributor(s): Bethlem,... | 2018-02-18 07:12:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://brilliant.org/problems/inspired-by-myself-3/ | # Mirrored Functions
Calculus Level 2
Find the shortest distance between the two curves $f(x)=\ln(x)$ and $g(x)=e^x$.
× | 2021-06-16 09:07:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 6, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.mypractice-page.com/content/c/s01/c_s01_ex07.php | ## Exercise 07: VTBI And Infusion Rate Calculator
Date completed: 02/09/2019
Hospitals use programmable pumps to deliver medications and fluids to intra-venous lines at a set number of milliliters per hour. Write a program to output information for the labels the hospital pharmacy places on bags of I.V. medications i... | 2020-09-29 14:24:22 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 2, "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... |
https://www.gradesaver.com/textbooks/math/algebra/college-algebra-10th-edition/appendix-graphing-utilities-3-using-a-graphing-utility-to-locate-intercepts-and-check-for-symmetry-3-exercises-page-a6/4 | ## College Algebra (10th Edition)
Using the ZERO function of a graphing utility we get: $ZERO(3x^2+5x+1)=-1.4343\approx-1.43$ | 2019-11-22 17:36:31 | {"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... |
https://blender.stackexchange.com/questions/126493/how-to-shift-foward-actions-using-python/126494 | How to shift foward actions using python
I have two sequential actions, and I want to shift them both foward. I can list the actions with bpy.data.actons, but I don't know how to modify them.
While you can list the actions with bpy.data.actions, once they are in the NLA Editor you need to access them slightly differe... | 2021-12-06 02:40:49 | {"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... |
https://infoscience.epfl.ch/record/82964 | Confidence Measures in Multiple pronunciations Modeling For Speaker Verification
This paper investigates the use of multiple pronunciations modeling for User-Customized Password Speaker Verification (UCP-SV). The main characteristic of the UCP-SV is that the system does not have any {\it a priori} knowledge about the ... | 2019-11-19 21:48:40 | {"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... |
http://www.mathgoespop.com/2012/11/mathalicious-post-most-expensive-collectibles-ever.html | ## Mathalicious Post: Most Expensive. Collectibles. Ever.
Hey y'all. My most recent post on the Mathalicious blog has been live for a while, but in case you missed it, I’d encourage you to go check it out! Consider it a Simpsons themed cautionary tale for collectors on a budget. Here’s a sample:
One of the more re... | 2017-01-20 01:37:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://documen.tv/question/calculate-the-molecular-weight-of-a-dibasic-acid-0-56gm-of-which-is-required-250ml-of-n-20-sodiu-24159433-80/ | ## Calculate the molecular weight of a dibasic acid.0.56gm of which is required 250ml of N/20 sodium hydroxide solution for neutralization.
Question
Calculate the molecular weight of a dibasic acid.0.56gm of which is required 250ml of N/20 sodium hydroxide solution for neutralization.
in progress 0
6 months 2021-0... | 2022-06-26 06:16:59 | {"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... |
https://www.physicsforums.com/threads/if-this-is-gaussian-beam.370176/ | # If this is Gaussian beam?
1. Jan 16, 2010
### KFC
In the book "Fundamentals of Photonics", the form of the Gaussian beam is written as
$$I(\rho,z) = I_0 \left(\frac{W_0}{W(z)}\right)^2\exp\left[-\frac{2\rho^2}{W^2(z)}\right]$$
where $$\rho = \sqrt{x^2 + y^2}$$
However, in some books (I forgot which one), the auth... | 2018-03-19 04:00:57 | {"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... |
https://www.zbmath.org/?q=an%3A0962.76012 | ## The sub-harmonic bifurcation of Stokes waves.(English)Zbl 0962.76012
The behaviour of steady periodic water waves on water of infinite depth, that satisfy exactly the kinematic and dynamic boundary conditions on the free surface of water, with or without surface tension, are given by solutions of a nonlinear pseudo... | 2022-07-07 13:15:24 | {"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... |
http://aas.org/archives/BAAS/v27n4/aas187/S058006.html | Session 58 - Gamma Rays & Cosmic Rays.
Oral session, Tuesday, January 16
Salon del Rey South, Hilton
## [58.06] EGRET Observations of Radio Bright Supernova Remnants
J. A. Esposito, P. Sreekumar (USRA NASA/GSFC), S. D. Hunter (NASA/GSFC), G. Kanbach (MPE)
Data from Phase 1 through Phase 3 of EGRET observations have ... | 2015-03-31 00:19:07 | {"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... |
https://www.examfriend.in/Forum/Arithmetic-aptitude/Chain-Rule/1140 | 1)
A contractor employed 30 men to do a piece of work in 38 days. After 25 days, he employed 5 men more and the work was finished one day earlier. How many days he would have been behind, if he had not employed additional men ?
A) $1$
B) $1\frac{1}{4}$
C) $1\frac{1}{2}$
D) $1\frac{3}{4}$
$\therefore$ 30 men can d... | 2023-02-06 02:09:18 | {"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... |
http://mymathforum.com/algebra/45465-exponent-2.html | My Math Forum Exponent
Algebra Pre-Algebra and Basic Algebra Math Forum
July 27th, 2014, 11:25 AM #11
Senior Member
Joined: Nov 2013
From: Baku
Posts: 502
Thanks: 56
Math Focus: Geometry
Quote:
Originally Posted by bml1105 Can anyone tell me how to make the subscripts for the log formulas when writing on the f... | 2019-08-19 05:27:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://cloud.originlab.com/doc/en/OriginC/ref/Curve-Class | # 2.2.3.4 Curve
Curve
## Remark
An Origin C Curve is comprised of a Y Dataset and typically (but not necessarily) an associated X Dataset. For example, a data set plotted against row numbers will not have an associated X data set. An Origin C Curve object can easily be plotted using methods of the GraphLayer class. ... | 2022-05-26 14:41:58 | {"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... |
https://www.all-dictionary.com/sentences-with-the-word-Small%20intestine | # Sentence Examples with the word Small intestine
The salts of sodium resemble potassium in their action on the alimentary tract, but they are much more slowly absorbed, and much less diffusible; therefore considerable amounts may reach the small intestine and there act as saline purgatives.
Internally they are found... | 2017-07-22 19:11:36 | {"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... |
https://www.physicsforums.com/threads/irreducible-representation-and-ir-stretching-bands.536288/ | # Irreducible Representation and IR stretching bands
After you find the irreducible representation of a molecule, how do you determine the number of IR active bands?
For example, in methane, the pointgroup is Td , then you found that the irreducible representation is A1 + T2.
How do you find the number of IR active ... | 2021-01-27 03:12:17 | {"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... |
https://mathoverflow.net/questions/157117/real-analytic-variant-of-theorem-4-2-5-of-duistermaats-fio-1996 | # Real-analytic variant of theorem 4.2.5 of Duistermaat's “FIO”, 1996
Theorem 4.2.5 of Duistermaat's "Fourier Integral Operators", 1996, states:
Let $A \in I^m(X,Y,C)$ be an elliptic Fourier Integral Operator of order $m$, associated to a bijective canonical homogeneous transformation $C$ from an open cone $\Gamma \s... | 2019-11-14 19:50:35 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://lists.webkit.org/pipermail/webkit-dev/2016-March/028064.html | # [webkit-dev] Proposal: remove menclose notation radical
Frédéric WANG fred.wang at free.fr
Thu Mar 10 03:45:04 PST 2016
Hi everyone,
As said in a previous message, MathML layout refactoring is in progress
[1] and I'd like to use this opportunity to propose removing support for
More context:
In MathML3 there are ... | 2022-08-14 14:49:15 | {"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": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://architectradure.blogspot.com/2007/08/usb-rechargeable-batteries.html | # USB - rechargeable batteries
Nice idea. Knowing that many of us carry a laptop everyday, it makes sense to use it for charging batteries!
UsbCell can be found here.
Brent said...
hi cati, wow, nice find. :)
Luciano Bove said...
Ciao! This is a real useful gadget.
Bob Johnson said...
Great Idea.
dt said...
I... | 2014-09-16 23:26:12 | {"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... |
https://irzu.org/research/video-conversion-ffmpeg-command-what-is-the-best-config-to-re-encode-vidoe-youtube/ | # video conversion – ffmpeg command, what is the “best” config to re-encode vidoe youtube?
Let’s say we have a video generated with matplotlib.animation with the code below (while can’t figure how to have the mp4 file with HD 1080p, but we can re-encode with Final cut pro HD 1080p)
Writer = animation.writers['ffmpeg'... | 2023-02-08 05:08:24 | {"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... |
https://socialcar-project.eu/en/a-central-angle-thata-of-a-circle-with-radius-16-inches-intercepts-an-arc-of-1936-inches-find-th.11757.html | CorneliusFurtado414
14
# A central angle, thata, of a circle with radius 16 inches intercepts an arc of 19.36 inches. Find thata.
(1) Answers
Skyheart
Theta* $\theta=\frac{19.36}{16}=1.21$ radians.
Add answer | 2023-02-08 17:45:24 | {"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... |
https://socratic.org/questions/what-is-the-remainder-when-the-function-f-x-x-3-4x-2-12-is-divided-by-x-2 | # What is the remainder when the function f(x)=x^3-4x^2+12 is divided by (x+2)?
Jan 11, 2018
$\textcolor{b l u e}{- 12}$
#### Explanation:
The Remainder theorem states that, when $f \left(x\right)$ is divided by $\left(x - a\right)$
$f \left(x\right) = g \left(x\right) \left(x - a\right) + r$
Where $g \left(x\rig... | 2020-09-23 23:21:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 23, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.biostars.org/p/9464010/ | Does a smaller value of F from PLINK --het represent higher heterozygosity?
0
0
Entering edit mode
5 days ago
curious ▴ 500
Running command plink --het gives a column "F".
I read that F is essentially "1 - (HI/HS), where HI represents the individual's heterozygosity, and HS the subpopulation's heterozygosity".
From ... | 2021-04-13 09:46:27 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.transtutors.com/questions/exercise-8-13-contrasting-traditional-and-abc-product-costs-86851.htm | # Exercise 8-13 Contrasting Traditional and ABC Product Costs 1 answer below »
Exercise 8-13 Contrasting Traditional and ABC Product Costs [LO1, LO5] Model X100 sells for $120 per unit whereas Model X200 offers advanced features and sells for$500 per unit. Management expects to sell 50,000 units of Model X100 and 5,00... | 2021-08-05 09:31:26 | {"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... |
https://psychopy.org/api/visual/simpleimagestim.html | # SimpleImageStim¶
class psychopy.visual.SimpleImageStim(*args, **kwargs)[source]
A simple stimulus for loading images from a file and presenting at exactly the resolution and color in the file (subject to gamma correction if set).
Unlike the ImageStim, this type of stimulus cannot be rescaled, rotated or masked (al... | 2021-04-22 22:26:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/the-sum-of-two-consecutive-odd-integers-is-124-what-are-the-integers | # The sum of two consecutive odd integers is 124, what are the integers?
Feb 7, 2016
$61$ and $63$
#### Explanation:
An odd integer can be written as:
$\left(2 n + 1\right)$
If the odd integers are consecutive, then the next odd integer will be:
$\left(2 \left(n + 1\right) + 1\right) = \left(2 n + 3\right)$
Given ... | 2019-10-22 16:28:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 12, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://aperiodical.com/2012/04/laziest-torus-identified/ | # Laziest torus identified
Or, in similarly simplified headlinese, “Math finds the best doughnut”. A little bit more precisely, Fernando C. Marques and André Neves claim in a preprint on the arXiv to have proved the Willmore conjecture, that the minimum achievable mean curvature of a torus is $\frac{2}{\pi^2}$.
The a... | 2013-05-24 08:36:40 | {"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... |
https://blender.stackexchange.com/questions/36691/how-to-use-propertygroupitem | # How to use PropertyGroupItem
I was browsing the docs when I ran into something interesting: bpy.types.propertyGroupItem
This is what the doc says about it:
Property that stores arbitrary, user defined properties
I did a little digging around but couldn't find anything else about it. It sounds very interesting but... | 2019-10-15 13:21:05 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://math.stackexchange.com/questions/4299984/evaluate-int-frac-pi8-frac-7-pi8-frac-ln-left-1 | # Evaluate $\int_{{\frac {\pi}{8}}}^{{\frac {7\,\pi}{8}}}\!{\frac {\ln \left( 1- \cos \left( t \right) \right) }{\sin \left( t \right) }}\,{\rm d}t$
I'm interested in this integral: $$\int_{{\frac {\pi}{8}}}^{{\frac {7\,\pi}{8}}}\!{\frac {\ln \left( 1- \cos \left( t \right) \right) }{\sin \left( t \right) }}\,{\rm d}t... | 2022-08-14 17:21:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/398088/period-map-for-partial-bar-partial-manifolds | # Period map for $\partial\bar\partial$-manifolds
When we talk about the theory of variation of Hodge structures, we always assume that the central fiber is a Kähler manifold $$X$$, then consider a family of deformations $$\pi:\mathcal X\to B$$ and the period map $$\mathcal P:B\to Grass(b^{p,k},H^k(X,\mathbb C))$$, $$... | 2021-10-24 00:21:42 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mailman.ntg.nl/pipermail/ntg-context/2022/104845.html | # [NTG-context] How to let a macro check the previous value of #1 the last time the same macro was called?
Joel uaru99 at yahoo.com
Sun Jan 9 15:16:37 CET 2022
```Is there a way for a macro to check the previous value of #1, the last time that same macro was called?
Here is a minimum working example, pretending that... | 2022-08-15 04:37:47 | {"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... |
https://unapologetic.wordpress.com/2008/05/20/matrices-i/?like=1&source=post_flair&_wpnonce=8cb43e0c56 | # The Unapologetic Mathematician
## Matrices I
May 20, 2008 - Posted by | Algebra, Linear Algebra
1. […] Einstein Summation Convention Look at the formulas we were using yesterday. There’s a lot of summations in there, and a lot of big sigmas. Those get really tiring to […]
Pingback by The Einstein Summation Conven... | 2015-05-07 06:42:18 | {"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... |
https://www.gamedev.net/forums/topic/408891-arrive-function/ | Arrive Function
This topic is 4175 days old which is more than the 365 day threshold we allow for new replies. Please post a new topic.
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Hi, so I have this code for my AI's Arrive function.
Vector2D EGsoldier::Arrive(Vector2D TargetPos) //Need to improve on this function
{
Vector2D ToTarget = Targ... | 2018-01-21 07:20:04 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://planetmath.org/AscendingChainCondition | # ascending chain condition
A partially ordered set $S$ (for example, a collection of subsets of a set $X$ when ordered by inclusion) satisfies the or ACC if there does not exist an infinite ascending chain $s_{1} of elements of $S$. | 2019-09-21 17:42:07 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 4, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/how-do-you-evaluate-cos-arcsin-1-4 | # How do you evaluate cos(arcsin (1/4))?
Sep 10, 2015
$\frac{\sqrt{15}}{4} \approx 0.968$
#### Explanation:
By the fact that ${\cos}^{2} \left(\theta\right) + {\sin}^{2} \left(\theta\right) = 1$ for all $\theta$, when we know the value of $\sin \left(\theta\right)$, there are two possible corresponding values for $... | 2020-02-22 17:27:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 18, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://math.stackexchange.com/questions/2788894/projection-of-a-measurable-cylinder-of-the-product-sigma-algebra | # Projection of a measurable cylinder of the product $\sigma$-algebra
Take some set $A \subset \mathbb{R}$ such that $A \times \mathbb{R}$ is measurable in $\mathrm{B}(\mathbb{R}) \times \mathrm{B}(\mathbb{R})$, the product $\sigma$-algebra of the borel $\sigma$-algebra of $\mathbb{R}$ by itself (which is also $\mathr... | 2022-07-03 09:47:53 | {"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... |
https://tug.org/pipermail/macostex-archives/2005-November/018642.html | # [OS X TeX] tex files and mdimport
Mon Nov 14 20:56:16 CET 2005
```
On Monday, November 14, 2005, at 11:51AM, Gary L. Gray <gray at engr.psu.edu> wrote:
>
>On Nov 14, 2005, at 2:42 PM, Adam Maxwell wrote:
>
>>
>> On Monday, November 14, 2005, at 09:05AM, Herbert Schulz
>> <herbs at wideopenwest.com> wrote:
>>
>>> I... | 2023-01-31 16:47:17 | {"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... |
http://www.linyekexue.net/CN/10.11707/j.1001-7488.20030611 | • 论文及研究报告 •
### 辽西半干旱地区栎树人工造林技术的研究
1. 沈阳农业大学林学院,沈阳110161；辽宁省凌源市五家子国合造林站,凌源122507；辽宁省凌源市河东国合造林站,凌源122500；辽宁省朝阳县朝阳林场,朝阳122000
• 收稿日期:2000-05-12 修回日期:2003-02-27 出版日期:2003-11-25 发布日期:2003-11-25
### STUDIES ON THE AFFORESTATION TECHNIQUES FOR THREE OAK SPECIES INTHE SEMIARID AREAS OF WESTERN LIAONING PROVINCE
Cui Jiangu... | 2022-06-29 03:05:59 | {"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... |
https://bitbucket.org/smileychris/southwest | southwest
A quick way to alter the database schema based on model changes for an app which doesn't (yet) need the power of full south migrations.
Usage
Initially, you'll need to set up the initial definitions for all (non-south) apps:
manage.py syncdb
Then after making a model change to an app you can see the cha... | 2017-06-25 12:50:19 | {"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... |
https://brilliant.org/problems/confusion-5/ | # Confusion
Logic Level 1
$\large 3 \square 3=1$
which sign $$(+ \ , \times \ , -)$$ to make the equation above true?
× | 2017-03-26 11:32:46 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://math.stackexchange.com/questions/87985/quadratic-fields-and-solving-diophantine-equations | # Quadratic fields and solving Diophantine equations
I would like to learn to solve Diophantine equations and I think my next step would be quadratic fields or number fields. What are kind of methods there are to use those on solving equations? And what kind of Diophantine equation can be solved using quadratic fields... | 2013-12-18 20:04:36 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathhelpforum.com/calculus/86709-damped-harmonic-oscillation-question-print.html | Damped Harmonic Oscillation Question
• Apr 30th 2009, 08:21 PM
nosh
Damped Harmonic Oscillation Question
If a marble is placed on the end of a horizontal oscillating spring and the harmonic horizontal position of the marble as a function of time is given as :
If x = A ( 2 pi f t)
where A is amplitude
f is frequency... | 2018-01-19 08:03:57 | {"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": 4, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://alanzed.wordpress.com/2009/02/13/mit-1803-lecture-6/ | ## MIT 1803 lecture 6
This lecture introduced complex numbers – most of which I knew. But useful to me was the reminder that, when presented with an integral like $\int e^{-x} \cos x dx$ one can solve it by passing to the complex domain, or complexifying the integral, that is, noting that the integrand is the Re part... | 2017-07-21 14:45:30 | {"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": 2, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
End of preview. Expand in Data Studio
Dataset Card for "open-web-math-minhash"
An attempt at a "high quality sample" of open-web-math/open-web-math by aggressively applying minhash from text-dedup. The result is 1.82M rows down from the original 6M:
DatasetDict({
train: Dataset({
features: ['url', 'text', 'date', 'metadata'],
num_rows: 1820241
})
})
Usage
Unless you need the metadata, load the text-only config which is only 1.4 GB/5 shards:
from datasets import load_dataset
dataset_config = "text-only"
dataset = load_dataset("BEE-spoke-data/open-web-math-minhash", dataset_config)
making of
On a high-RAM colab TPU (40 cores)
from pathlib import Path
from tqdm.auto import tqdm
ds_name = "open-web-math/open-web-math"
dataset_config = "default"
data_split = 'train'
text_column = 'text'
out_dir = Path(f"output/minhash/{ds_short_name}/{data_split}")
!mkdir -p $out_dir
!python -m text_dedup.minhash \
--path $ds_name \
--name $dataset_config \
--split $data_split \
--cache_dir "./cache" \
--output $out_dir \
--column $text_column \
--ngram 5 --threshold 0.5 \
--hash_func xxh3 --hash_bits 16 --num_perm 64 \
--batch_size 10000
print(f"output dir is:\n\t{out_dir}")
!ls $out_dir
Console:
Resolving data files: 100% 114/114 [00:11<00:00, 9.79it/s]
Fingerprinting... (num_proc=40): 100% 6315233/6315233 [15:27<00:00, 6806.11 examples/s]
Iterating MinHashes...: 100% 632/632 [05:37<00:00, 1.87it/s]
Clustering...: 100% 14/14 [01:13<00:00, 5.22s/it]
Finding clusters... (num_proc=40): 100% 6315233/6315233 [10:57<00:00, 9602.90 examples/s]
Filtering clusters... (num_proc=40): 100% 6315233/6315233 [03:53<00:00, 27069.61 examples/s]
Saving the dataset (33/33 shards): 100% 1820241/1820241 [07:07<00:00, 4260.38 examples/s]
[10/11/23 23:41:46] INFO Loading :
citation
@misc{paster2023openwebmath,
title={OpenWebMath: An Open Dataset of High-Quality Mathematical Web Text},
author={Keiran Paster and Marco Dos Santos and Zhangir Azerbayev and Jimmy Ba},
year={2023},
eprint={2310.06786},
archivePrefix={arXiv},
primaryClass={cs.AI}
}
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