url
stringlengths
14
1.76k
text
stringlengths
100
1.02M
metadata
stringlengths
1.06k
1.1k
https://www.gradesaver.com/textbooks/math/geometry/CLONE-df935a18-ac27-40be-bc9b-9bee017916c2/chapter-10-review-exercises-page-495/32
## Elementary Geometry for College Students (7th Edition) Clone We draw the base of the parallelogram on the x-axis, with a vertex at (0,0). We define the midpoints as follows: $B: (b,c) \\ C: (a+2b,2c) \\ D: (2a+b,c) \\E: (a,0)$ We use the equation for slope: $m = \frac{y_2-y_1}{x_2-x_1}$ We find: $m_1 = \frac{2c-c}{...
{"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/256797/why-do-i-spill-lesser-water-if-its-hotter
# Why do I spill lesser water if it's hotter? If I pour water in a glass to make a cup of tea, I noticed that if the water that comes out of the kettle is very hot, almost no water is spilled. If the water is cold though, much more water is spilled. The water streams over the surface of the kettle. Why does the higher...
{"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/278599/generating-convex-polygonal-neighborhoods-from-triangulations-of-discrete-points/278605
# Generating Convex Polygonal Neighborhoods from Triangulations of Discrete Pointsets The wellknown Delaunay Triangulation $DT$ has as a straight line dual the also wellknown Voronoi Diagram $VD$. Both are most commonly defined in the Euclidean plane and are primarily beneficial for solving problems related to geomet...
{"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://aas.org/archives/BAAS/v30n4/aas193/823.htm
AAS Meeting #193 - Austin, Texas, January 1999 Session 6. Nearby AGN I - Dust, Gas, Obscuration and Fuelling Display, Wednesday, January 6, 1999, 9:20am-6:30pm, Exhibit Hall 1 ## [6.06] Discovery of a nuclear gas bar feeding an AGN A. Alonso-Herrero (Steward Observatory), R. Maiolino (Osservatorio Astrofisico di Arce...
{"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.semanticscholar.org/paper/MOA-2011-BLG-322Lb%3A-a-%E2%80%98second-generation-survey%E2%80%99-Shvartzvald-Maoz/c892c0459b9991f7dfa81162d91176bf92c70e77
# MOA-2011-BLG-322Lb: a ‘second generation survey’ microlensing planet @article{Shvartzvald2014MOA2011BLG322LbA, title={MOA-2011-BLG-322Lb: a ‘second generation survey’ microlensing planet}, author={Yossi Shvartzvald and Dan Maoz and Shai Kaspi and Takahiro Sumi and Andrzej Udalski and A. Gould and David P. Bennett an...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://brilliant.org/problems/over-99/
# Over 99 Number Theory Level 4 What is the remainder when $$10^{9999}$$ is divided by $$9999$$? ×
{"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://ccrma.stanford.edu/~jos/pasp/Eigenstructure.html
Next  |  Prev  |  Up  |  Top  |  Index  |  JOS Index  |  JOS Pubs  |  JOS Home  |  Search ### Eigenstructure Starting with the defining equation for an eigenvector and its corresponding eigenvalue , we get, using Eq. (C.134), (C.137) We normalized the first element of to 1 since is an eigenvector whenever is. (If...
{"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://openmx.ssri.psu.edu/wiki/mxFIMLObjective-help?q=wiki/mxFIMLObjective-help
# mxFIMLObjective-help ## Primary tabs #### Description: This function creates a new MxFIMLObjective object. #### Usage: mxFIMLObjective(covariance, means, dimnames = NA, thresholds = NA, vector = FALSE, threshnames = dimnames) #### Arguments: covariance: A character string indicating the name of the expected c...
{"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://doc.sagemath.org/html/en/reference/structure/sage/structure/element.html
# Elements¶ AUTHORS: • David Harvey (2006-10-16): changed CommutativeAlgebraElement to derive from CommutativeRingElement instead of AlgebraElement • David Harvey (2006-10-29): implementation and documentation of new arithmetic architecture • William Stein (2006-11): arithmetic architecture – pushing it through to co...
{"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://mathshistory.st-andrews.ac.uk/Biographies/Whitney/
# Hassler Whitney ### Quick Info Born 23 March 1907 New York, USA Died 10 May 1989 Mount Dents Blanches, Switzerland Summary Hassler Whitney was an American mathematician who did important work in manifolds, embeddings, immersions, characteristic classes and geometric integration theory. ### Biography Hassler Whit...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 1, "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://gmatclub.com/forum/m15-184059.html
GMAT Question of the Day - Daily to your Mailbox; hard ones only It is currently 16 Oct 2018, 11:43 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email. Customize...
{"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://ieeexplore.ieee.org/xpl/tocresult.jsp?isnumber=6766686&punumber=18
# IEEE Transactions on Information Theory ## Filter Results Displaying Results 1 - 25 of 35 • ### Table of contents Publication Year: 2014, Page(s):C1 - C4 | PDF (169 KB) • ### IEEE Transactions on Information Theory publication information Publication Year: 2014, Page(s): C2 | PDF (141 KB) • ### Soft-Decoding-Base...
{"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://chalkdustmagazine.com/regulars/answers/answers-to-can-you-solve-these-puzzles/
# Answers to “Can you solve these puzzles?” 000 ### Unit Octagon Name the regions as follows: $E$ is a 1×1 square. Placed together, $A$, $C$, $G$ and $I$ also make a 1×1 square. $B$ is equal to $H$ and $D$ is equal to $F$. Therefore $B+E+F=A+C+D+G+H+I$. Therefore the hatched region is $C$ larger than the shaded reg...
{"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/radical-axisma-hint/
We have an acute angled triangle $$ABC$$ and it's orthocenter is $$H$$.$$AH$$ extended meets $$BC$$ at $$D$$ and $$CH$$ extended meets $$AB$$ at $$E$$.$$DE$$ meets $$BH$$meet at $$K$$ and midpoint of $$BH$$ is $$M$$.What is the angle between $$AK$$ and $$CM$$ in degrees??????????.Answer may be too easy to guess but ple...
{"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://icsecbsemath.com/2019/03/09/class-9-co-ordinate-geometry-exercise-19-1/
Question 1: Write down the coordinates of each of the points $P, Q, R, S, T, U$ and $V$ shown in the adjoining graph. $P(2,3), Q(-3, 2), R(-2, -3), S(4, -2), Y(2, 0), V(-3, 0), U(0, -2)$ $\\$ Question 2: Plot the following points in rectangular coordinate system. In which quadrant do they lie? i) $P (5, 7)$ (ii) $Q ...
{"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": 114, "mimetex.cgi": 0, "/images/m...
http://www.ck12.org/book/CK-12-Geometry-Basic/section/6.4/
<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" /> # 6.4: Rectangles, Rhombuses and Squares Difficulty Level: At Grade Created by: CK-12 ## Learning Objectives • Define a rectangle, rhombus, and square. • Determine if a parallelogram i...
{"extraction_info": {"found_math": true, "script_math_tex": 81, "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://infamousheelfilcher.blogspot.com/2013/12/a-left-for-reader-in-stability-theory.html
## Friday, December 6, 2013 ### A Left-for-the-reader in stability theory Yes, yes, I know I haven't posted in forever. I've been busy proving shit. Completely out of left field, my research has indicated relevance to stability theory, an area of model theory that I've never had the urge to learn. Well, now I feel t...
{"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://brilliant.org/problems/crazy-comparing/
# Crazy Comparing Algebra Level 4 Let $A=\bigg[\frac{(x+1)(x+2)}{2}\bigg]^2-\bigg[\frac{x(x+1)}{2}\bigg]^2$ $B=(x-1)(\frac{3x}{2}-1)+\frac{\displaystyle \sum_{i=1}^{x-2} i^2-(x-2)(\frac{x-1}{2})}{2}+x(x+2)$ Here, $x$ is a positive integer. Which is bigger, $A$ or $2B$? ×
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 7, "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...
http://math.stackexchange.com/tags/banach-spaces/new
# Tag Info 0 The conclusion of the theorem you want to prove holds if and only if $X^*$ has the Radon–Nikodym property with respect to the Lebesgue measure on $(0,1)$. This is precisely what you need to recover Rademacher's theorem about differentiation of Lipschitz maps from $(0,1)$ to $X^*$. Separability in your pr...
{"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://typo3master.com/standard-error/help-standard-error-two-sample.php
Home > Standard Error > Standard Error Two Sample # Standard Error Two Sample JSTOR2340569. (Equation 1) of 10/4 = 2.5 standard deviations above the mean of -10. We have $$n_1 However, this method needs additional requirements to be satisfied (at least approximately): Requirement R1: Agreement. But first, a Standard ...
{"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://download.atlantis-press.com/proceedings/icsmme-15/25846410
# Mechanical Response of Portland Cement Mortars with added Expanded Polystyrene Spheres (EPS) under Accelerated Attack Authors W. Martinez Molina, E.M. Alonso Guzman, H.L. Chavez Garcia, C. Lara Gomez, F.M. Gonzalez Valdez, O.R. Flores Lica, A.A. Torres Acosta, W. Martinez Alonso, J.A. Bedolla Arroyo, H. Hernandez Ba...
{"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.ideals.illinois.edu/handle/2142/23045
## Files in this item FilesDescriptionFormat application/pdf 9512600.pdf (6MB) (no description provided)PDF ## Description Title: Characterization of environmental tobacco smoke by neutron activation analysis as a source of hazardous metals in indoor air pollution Author(s): Wu, De Doctoral Committee Chair(s): La...
{"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://jasonmaths.wordpress.com/category/physics/
HAiKQDM:MCfGTtTQCaCQM postmortem Last week I attended a conference at the Perimeter Institute for Theoretical Physics, titled “Hopf Algebras in Kitaev’s Quantum Double Models:  Mathematical Connections from Gauge Theory to Topological Quantum Computing and Categorical Quantum Mechanics”.  My flight from LAX (Los Angel...
{"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": 82, "mimetex.cgi": 0, "/images/ma...
http://www.vallis.org/blogspace/preprints/1207.5595.html
## [1207.5595] EMRI corrections to the angular velocity and redshift factor of a mass in circular orbit about a Kerr black hole Authors: Abhay G. Shah, John L. Friedman, Tobias S. Keidl Date: 24 Jul 2012 Abstract: This is the first of two papers on computing the self-force in a radiation gauge for a particle moving ...
{"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://planetmath.org/ProofOfRiemannMappingTheorem
# proof of Riemann mapping theorem This proof relies on the existence of a solution to the Dirichlet problem, and hence is applicable to any domain for which it can be proven that the Dirichlet problem has a solution. For simplicity, I will assume that the region $U$ is bounded; Since this proof uses real techniques ...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 210, "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/m...
https://socratic.org/questions/how-do-you-find-the-antiderivative-of-f-x-8x
Calculus Topics # How do you find the antiderivative of f(x)=8x? Mar 6, 2017 $4 {x}^{2} + C$ #### Explanation: Use the standard power rule for integration, $\int a {x}^{n} \mathrm{dx} = \frac{a {x}^{n + 1}}{n + 1} + C$ so $\int 8 {x}^{1} \mathrm{dx} = \frac{8 {x}^{2}}{2} + C = 4 {x}^{2} + C$ ##### Impact of th...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 3, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://koreascience.or.kr/search.page?keywords=%ED%8C%8C%EA%B4%B4%ED%99%95%EB%A5%A0
• Title, Summary, Keyword: 파괴확률 ### Reliability Analysis for Estimations of the Probability of Pipe Breaking (파이프의 파괴확률 산정을 위한 신뢰성 해석) • Kwon, Hyuk-Jae;Lee, Cheol-Eung;Choi, Han-Kuy • Proceedings of the Korea Water Resources Association Conference • / • / • pp.850-853 • / • 2008 • 송수관이나 배수관은 계획된 필요유량을 특정 지점까지 안전하게 전달...
{"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://anthonydave.top/Deep%20Learning/Some-small-bugs-and-features-of-Deep-learning/
# Some small bugs and features of Deep learning Last updated on:5 months ago Sometimes, basic concepts are important for us to learn deep learning. I would collect the bugs and features of deep learning in this blog. # Feautures ## Return index of resampled dataset Can you check the under sampling methods and more...
{"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...
http://tex.stackexchange.com/questions/13296/how-to-prevent-linebreaks-after-hyphen-if-word-starts-with-hyphen?answertab=votes
# How to prevent linebreaks after hyphen if word starts with hyphen? (Remark: Maybe this is a typically German problem, I'm not sure in which other languages that might be relevant) Sometimes there are words which start with a hyphen, as they are connected with a word used before, e. g. Werkstoffforschung und -entwic...
{"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://thinkinator.com/2013/06/22/electricity-usage-in-a-high-rise-condo-complex-pt-4/
# Electricity Usage in a High-rise Condo Complex pt 4 This is the fourth article in the series, where the techiness builds to a crescendo. If this is too statistical/programming geeky for you, the next posting will return to a more investigative and analytical flavor. Last time, we looked at a fixed-effects model: m....
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 1, "mimetex.cgi": 0, "/images/mat...
https://groupprops.subwiki.org/wiki/Weakly_closed_implies_conjugation-invariantly_relatively_normal_in_finite_group
# Weakly closed implies conjugation-invariantly relatively normal in finite group ## Statement Suppose $H \le K \le G$ are groups such that $H$ is a Weakly closed subgroup (?) of $K$ relative to $G$. Then, $H$ is a Conjugation-invariantly relatively normal subgroup (?) of $K$ relative to $G$, viz., $H$ is normal in e...
{"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": 44, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://www.qual.me/home-republic-inz/rqp7i.php?page=2aa04a-curly-girl-method-wavy-hair-mousse
Foodies Channel # curly girl method wavy hair mousse Next time you talk to a friend, you can tell them that you ate a sector of a pizza. For this exercise, they've given me the radius and the arc length. The area of a sector of a circle is ½ r² ∅, where r is the radius and ∅ the angle in radians subtended by the arc ...
{"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...
http://gopherlabs.kubedaily.com/docs/en/writing-the-file-from-multiple-goroutines
# writing the file from multiple goroutines • how to safely write to the file from multiple goroutines. Create the syncwrite.go file with the following content: package main import ( "fmt" "io" "os" "sync" ) type SyncWriter struct { m sync.Mutex Writer io.Writer } func (w *SyncWriter) Write(b []byte) (n i...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://math.libretexts.org/Courses/Monroe_Community_College/MTH_104_Intermediate_Algebra/9%3A_Quadratic_Equations_and_Functions/9.1%3A_Solve_Quadratic_Equations_Using_the_Square_Root_Property/9.2E%3A_Exercises
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$...
{"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://openmx.ssri.psu.edu/thread/130?q=thread/130
# Constant Substitution implemented in repository 6 posts / 0 new Offline Joined: 07/31/2009 - 15:24 Constant Substitution implemented in repository As of revision 784, literal constant substitution is implemented in the repository. This only works for literal expressions that evaluate to constants, such as "1" or "1...
{"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://human.libretexts.org/Bookshelves/Languages/Latin/Book%3A_Greek_and_Latin_Roots_I_-_Latin_(Smith)/05%3A_Turning_Latin_Nouns_into_Adjectives/5.08%3A_38._The_Latin_suffix_-ARIUS_(_E_-ary_-arium_-er)
# 5.8: §38. The Latin suffix -ARIUS (> E -ary, -arium, -er) $$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel...
{"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://qgm.au.dk/events/show/artikel/seminar-by-alastair-craw-university-of-bath/
# Seminar by Alastair Craw (University of Bath) Title: Quiver embeddings for Mori Dream Spaces 2013.11.26 | Christine Dilling Date Fri 20 Dec Time 14:00 — 15:00 Location Aud. D3 Abstract A globally generated vector bundle on a projective variety determines a morphism to a Grassmannian. More generally, a collection...
{"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://fomalhaut.su/en/articles/pushkin-motion/
The motion. There is no motion, a bearded wise man said. Another one kept silent, starting walking in front of him. He couldn't object stronger; Everybody praised the intricate respond. But gentlemen, this fun story Makes me remember another example: Everyday the sun goes in front of us, However stubborn Galileo is r...
{"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://collegephysicsanswers.com/openstax-solutions/firewalker-runs-across-bed-hot-coals-without-sustaining-burns-calculate-heat
Question 1. A firewalker runs across a bed of hot coals without sustaining burns. Calculate the heat transferred by conduction into the sole of one foot of a firewalker given that the bottom of the foot is a 3.00-mm-thick callus with a conductivity at the low end of the range for wood and its density is $300 \textrm{ k...
{"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://export.arxiv.org/abs/1909.08037
quant-ph (what is this?) # Title: Non-degenerate parametric amplifiers based on dispersion engineered Josephson junction arrays Abstract: Determining the state of a qubit on a timescale much shorter than its relaxation time is an essential requirement for quantum information processing. With the aid of a new type of...
{"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://mathoverflow.net/users/297/david-speyer?tab=questions
# David Speyer less info reputation 5120300 bio website math.lsa.umich.edu/~speyer location Ann Arbor age 33 member for 4 years, 2 months seen 10 hours ago profile views 25,572 Associate Professor of Mathematics at the University of Michigan. My research interests are in combinatorial algebraic geometry, particularly...
{"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.varsitytutors.com/sat_ii_chemistry-help/limiting-reagent
# SAT II Chemistry : Limiting Reagent ## Example Questions ### Example Question #1 : Stoichiometry Suppose that 8 grams of of hydrogen gas and 16 grams of oxygen gas are ignited. What is the theoretical yield, in grams, of water? Assume hydrogen has an atomic mass of 1 and oxygen has an atomic mass of 16.
{"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://pos.sissa.it/382/159/
Volume 382 - The Eighth Annual Conference on Large Hadron Collider Physics (LHCP2020) - Session : Plenary V : Higgs Physics Higgs sector : What we have learned L. Fiorini Full text: Not available Abstract The discovery of a Higgs boson with a mass of about 125 GeV by the ATLAS and CMS collaborations at the LHC has give...
{"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://qiskit.org/documentation/locale/pt_BR/_modules/qiskit/transpiler/passes/routing/sabre_swap.html
# Código fonte para qiskit.transpiler.passes.routing.sabre_swap # This code is part of Qiskit. # # (C) Copyright IBM 2017, 2020. # # obtain a copy of this license in the LICENSE.txt file in the root directory # # Any modifications or derivative works of this code must retain this # copyright notice, and modified files...
{"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.gradesaver.com/textbooks/math/precalculus/precalculus-6th-edition/chapter-7-trigonometric-identities-and-equations-7-6-trigonometric-equations-7-6-exercises-page-721/70
Precalculus (6th Edition) $x\displaystyle \in\{ \frac{\pi}{3},\frac{4\pi}{3},\frac{2\pi}{3},\frac{5\pi}{3}\}$ ... dividing with 2, $\displaystyle \cos 2x=-\frac{1}{2}$ If $0 \leq x < 2\pi$ then $0 \leq 2x < 4\pi$ So, $2x\in[0,4\pi)$, meaning that if $2$x (a solution) is any number from $[0,2\pi)$, then $2x+2\pi$ is al...
{"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://weblib.cern.ch/collection/BE%20Thesis?ln=ja&as=1
# BE Thesis 2019-04-08 10:45 Modeling Future Hadron Colliders’ Availability for Physics / Niemi, Arto This thesis presents an availability model for the Future Circular hadron Collider [...] CERN-THESIS-2018-389 - 140 p. Fulltext 2019-04-05 20:19 8th Order Super-Structure Resonance driven by Space Charge / Wasef, R...
{"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://pypi.org/project/plone.postpublicationhook/
Skip to main content Zope 2 post-publication hook ## Note This package is provided for backwards compatibility. New code should use the publication events introduced in Zope 2.12 directly. For Zope 2.10, a backport of the publication events is available in ZPublisherEventsBackport. This is required for this package...
{"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.cableizer.com/documentation/c_SI/
# Surge velocity of propagation The surge velocity or phase velocity of a wave is the rate at which the phase of the wave propagates in space. Symbol $c_{SI}$ Unit km/s Formulae $\frac{1}{1000\sqrt{\mu_0 \epsilon_0 \epsilon_i}}$ Related
{"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.physicsforums.com/threads/effective-mass-in-graphene.278136/
# Effective mass in graphene 1. Dec 8, 2008 ### FranzDiCoccio Hi all, according to textbook definition the effective mass of a particle in a periodic potential is $$\frac{\hbar^2}{m*} = \frac{d^2}{d k^2} E(k)$$ where $$E(k)$$ is the energy dispersion. Is this definition applicable at a generic point of a band, or...
{"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://campus.datacamp.com/courses/bayesian-regression-modeling-with-rstanarm/introduction-to-bayesian-linear-models?ex=9
# Difference between frequentists and Bayesians What is the core difference between frequentists and Bayesians? 50 XP
{"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://tex.stackexchange.com/questions/73917/subtle-issue-when-changing-font-style-of-the-toc-in-connection-with-the-header-o/73931
subtle issue when changing font style of the toc in connection with the header of the page I am using the amsbook class and changed the font style of the title of the table of contents (toc) with the command \renewcommand{\contentsname}{\textbf{\textsf{Contents}}} So I want it in \sf style and bold face letters. Th...
{"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://arxiv.org/abs/1902.04823
# Nuclear Experiment arXiv:1902.04823 (nucl-ex) # Title:X-ray pumping of the Th-229 nuclear clock isomer Abstract: Thorium-229 is a unique case in nuclear physics: it presents a metastable first excited state Th-229m, just a few electronvolts above the nuclear ground state. This so-called isomer is accessible by VUV...
{"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.is.mpg.de/publications?departments%5B%5D=am&publication_type%5B%5D=Thesis&publication_type%5B%5D=Book+Chapter&publication_type%5B%5D=Miscellaneous&publication_type%5B%5D=Conference+Paper&year%5B%5D=2005&year%5B%5D=1997&year%5B%5D=2008&year%5B%5D=2016
#### 2016 ##### Predictive and Self Triggering for Event-based State Estimation In Proceedings of the 55th IEEE Conference on Decision and Control (CDC), pages: 3098-3105, Las Vegas, NV, USA, December 2016 (inproceedings) am ics #### 2016 ##### Using Probabilistic Movement Primitives for Striking Movements Gomez-G...
{"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://blackswans.io/user/charmaine/
Black Swans charmaine 5 points joined I'm Charmaine I study at St Andrews and help run Black Swans. History History Solution to "Who's Doing the Dishes?" We received 57 submissions 😲 to the Who's Doing the Dishes? puzzle and, after carefully going through each of them, have judged that the best solution was giv...
{"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://codegolf.stackexchange.com/questions/188988/ddoouubbllee-ssppeeaakk/188995
# “DDoouubbllee ssppeeaakk!!” Super simple challenge today, or is it? I feel like we've heard a fair bit about double speak recently, well let's define it in a codable way... Double speak is when each and every character in a string of text is immediately repeated. For example: "DDoouubbllee ssppeeaakk!!" # The ...
{"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...
https://worldwidescience.org/topicpages/h/hydrocarbon-diffuse+interstellar+band.html
#### Sample records for hydrocarbon-diffuse interstellar band 1. Infrared diffuse interstellar bands Science.gov (United States) Galazutdinov, G. A.; Lee, Jae-Joon; Han, Inwoo; Lee, Byeong-Cheol; Valyavin, G.; Krełowski, J. 2017-05-01 We present high-resolution (R ˜ 45 000) profiles of 14 diffuse interstellar band...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://ticc.mines.edu/csm/wiki/index.php/MATH-348_Advanced_Engineering_Mathematics_-_Spring_2010
# Course Information MATH348: Advanced Engineering Mathematics - Introduction to partial differential equations, with applications to physical phenomena. Fourier series. Linear algebra, with emphasis on sets of simultaneous equations. Prerequisite: MATH 225 or equivalent. ## Instructor Information Instructor : Scott...
{"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://cstheory.stackexchange.com/questions/38950/easy-instances-for-coset-intersection-problem?noredirect=1
Easy instances for coset intersection problem Coset Intersection Problem Given : $K,H \le S_n$, and $\sigma \in S_n$ Find : $K \cap H\sigma$ Known results are : • $n^{O(\sqrt n )}$ time algorithm by L.Babai. • $n^{O(1)} m^{O(\sqrt m )}$, where $m$ is the length of the longest orbits of the two groups by L.Babai. •...
{"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.emathhelp.net/notes/differential-equations/laplace-transform/solving-ivps-with-laplace-transform/
# Solving IVP's with Laplace Transform You probably asked yourself why Laplace transform is in Differential Equations section. Answer is simple. Because we can solve initial-value problems with the help of Laplace transform. Let's see how it is done. Example 1. Solve y''+4y=t, y(0)=0, y'(0)=0 First step always is t...
{"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://indico.cern.ch/event/605564/
Particle and Astro-Particle Physics Seminars # Violation of Lepton Flavor Universality and Dark Matter from Composite Higgs models ## by Adrian Carmona Bermudez (CERN) Europe/Zurich 4-3-006 - TH Conference Room (CERN) ### 4-3-006 - TH Conference Room #### CERN 100 Show room on map Description Models of composite...
{"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://physics.stackexchange.com/questions/61848/motivation-for-the-deformed-nekrasov-partition-function
# Motivation for the Deformed Nekrasov Partition Function I have recently been doing research on the AGT Correspondence between the Nekrasov Instanton Partition Function and Louiville Conformal Blocks (http://arxiv.org/abs/0906.3219). When looking at the Nekrasov Partition Function one defines a deformed metric in ter...
{"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://www.arxiv-vanity.com/papers/1311.4286/
# Angular averaged consistency relations of large-scale structures Patrick Valageas Institut de Physique Théorique, CEA, IPhT, F-91191 Gif-sur-Yvette, Cédex, France CNRS, URA 2306, F-91191 Gif-sur-Yvette, Cédex, France July 13, 2021 ###### Abstract The cosmological dynamics of gravitational clustering satisfies an ap...
{"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://unlearningmath.com/2009/01/24/the-lewis-carroll-problem/
## The Lewis Carroll problem This is a puzzle. Lewis Carroll, the author of Alice in Wonderland, was also a mathematician. In his diary for 1890, he wrote the following statement: $2(x^2 + y^2)$ is always the sum of two squares where x and y are a pair of non-zero integers. Usually, when people want to see if Lewis...
{"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": 1, "mimetex.cgi": 0, "/images/mat...
https://www.physicsforums.com/threads/short-parabola-question.61867/
# Short Parabola Question 1. Jan 30, 2005 ### tempeste http://img158.exs.cx/img158/5127/prob9cx.jpg 2pi/3 the period right? 2. Jan 30, 2005 ### da_willem $$3sin(2\pi /3)-4=-3.89...$$ It's not even a function (or a pretty boring one), it's a number And why do you associate a sine with a parabola? 3. Jan 30, 200...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://codegolf.stackexchange.com/questions/5550/shortest-hello-world-program-with-no-semi-colons
# Shortest Hello World program with no semi colons I recently saw some questions on SO that asked if you could make a Hello World program without using any semi colons using C#. The challenge is to do this again, but in the shortest amount of code possible! • I assume this is meant to be a language-specific challenge...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
http://wangxinliu.com/machine%20learning/machine%20learning%20basic/research&study/NN7/
# NN Backpropagation ### The case we are handling: a 2 layers network The above diagram shows the network to be used. From the last blog we get the loss function: $\mathscr{L}=arg\min_W\sum_i^N-log(\frac{e^{f_{y_i}}}{\sum\limits_j^Ce^{f_j}})$ In order to use the gradient descent algorithm to train $$\scriptsize W_1...
{"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://datascience.stackexchange.com/questions/71689/what-annotators-are-used-in-cohen-kappa-for-classification-problems/71695
# What annotators are used in Cohen Kappa for classification problems? I am working on a classification problem using algorithms such as Logistic Regression, Support Vector Machines, Decision Trees, Random Forests and Naive Bayes. My data consists of binary class classification i.e. Fire(1) or No Fire(0). Due to the i...
{"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://mathhelpforum.com/advanced-statistics/72229-maximum-likehood-estimator-print.html
Maximum Likehood Estimator • Feb 6th 2009, 06:12 PM eigenvector11 Maximum Likehood Estimator If f_Y(y;theta) = (theta*k^theta)*(1/y)^(theta+1), y>=k, theta>=1, a) Find the maximum likelihood estimator for theta if information has been collected on a random sample of 25 people. b) Find the method of moments estimator...
{"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": 8, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://en.universaldenker.org/illustrations/634
# Illustration Helmholtz Coil with Dimensions Get illustration Share — copy and redistribute the material in any medium or format Adapt — remix, transform, and build upon the material for any purpose, even commercially. Sharing and adapting of the illustration is allowed with indication of the link to the illustrat...
{"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://templgvinstructorregister.com.rtitb.info/okkcep/fixed-beam-deflection.php
# Fixed beam deflection The elastic deflection δ {\displaystyle \delta } \delta and angle of deflection ϕ {\displaystyle \phi } \phi (in radians) at the free end in the example image: A (weightless) cantilever beam, with an end load, can be calculated (at the free Structural Beam Deflection, Stress, Bending Equations ...
{"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.libretexts.org/Bookshelves/Precalculus/Book%3A_Precalculus_(OpenStax)/12%3A_Introduction_to_Calculus/12.E%3A_Introduction_to_Calculus_(Exercises)
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}[1]{\| #1 \|}$$ $$...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat...
https://www.data-blogger.com/2017/08/27/gru-implementation-tensorflow/
# Python Deep Learning tutorial: Create a GRU (RNN) in TensorFlow MLPs (Multi-Layer Perceptrons) are great for many classification and regression tasks. However, it is hard for MLPs to do classification and regression on sequences. In this Python deep learning tutorial, a GRU is implemented in TensorFlow. Tensorflow i...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 32, "mimetex.cgi": 0, "/images/ma...
https://mathoverflow.net/questions/318854/superintuitionistic-logics-which-are-not-hereditary-monotonic-impossible-or-pos/318878
# Superintuitionistic logics which are not hereditary/monotonic: impossible or possible? An intuitionistic Kripke model is a triple $$\langle W,\leq, \Vdash \rangle$$, where $$\langle W,\leq \rangle$$ is a preordered Kripke frame, and $$\Vdash$$ satisfies the following condition of hereditariness (or monotonicity): i...
{"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...
http://mathhelpforum.com/calculus/28080-integration-couple-questions.html
# Thread: Integration: couple of questions 1. ## Integration: couple of questions Hi, I have a couple of questions on integration: 1.) Expressing the derivative of a function f(x) from the limit gives you: lim_Δx->0 [f(x+Δx) - f(x)] / Δx = d/dx f(x) ..so that you essentially have a small change in f(x) divided by ...
{"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": 18, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma...
https://micromath.wordpress.com/2011/05/14/donald-knuth-and-his-notation-for-multiplicative-inverses/?like=1&source=post_flair&_wpnonce=e60e0e8ee0
Posted by: Alexandre Borovik | May 14, 2011 ## Donald Knuth and his notation for multiplicative inverses Please help me to find a reference to Donald Knuth‘s suggestion to denote inverses as $x^-$ rather than $x^{-1}$. I remember Knuth commenting somewhere that $^1$ is redundant because  $x^{-1}$ could be easily unde...
{"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": 5, "mimetex.cgi": 0, "/images/mat...
https://codereview.stackexchange.com/questions/39186/a-custom-undo-manager/39210
# A custom Undo Manager I am working on building an UndoManager in C#. The concept is to store events and property changes in a Stack<Action<T>> instance. I believe it is working, but I am also looking for peer review. What can I improve? Do you see any bugs? public abstract class UndoManager<T> { /// <summary> /// ...
{"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://xianblog.wordpress.com/2017/11/21/the-hyvarinen-score-is-back/
the Hyvärinen score is back Stéphane Shao, Pierre Jacob and co-authors from Harvard have just posted on arXiv a new paper on Bayesian model comparison using the Hyvärinen score $\mathcal{H}(y, p) = 2\Delta_y \log p(y) + ||\nabla_y \log p(y)||^2$ which thus uses the Laplacian as a natural and normalisation-free penal...
{"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": 3, "mimetex.cgi": 0, "/images/mat...
http://mathhelpboards.com/number-theory-27/number-theory-electronic-signal-frequency-synthesis-19925.html?s=9278ceb6188b675b9c2ddddfeb0e6f5e
# Thread: Number Theory for Electronic Signal Frequency Synthesis 1. I am new to this forum. I am an electrical engineer designing frequency synthesizers for electronic test and measurement equipment. I have a design problem and I think that number theory could help me solve it. I'm not a mathematician, so I will sta...
{"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://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.713030
Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.713030 Title: On the theory of dissipative extensions Author: Fischbacher, Christoph Stefan ISNI:       0000 0004 6349 1089 Awarding Body: University of Kent Current Institution: University of Kent Date of Award: 2...
{"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.newton.ac.uk/seminar/20110216140015001
# Some remarks on Mahler's conjecture for convex bodies Presented by: A Zvavitch Kent State University Date: Wednesday 16th February 2011 - 14:00 to 15:00 Venue: INI Seminar Room 1 Abstract: Let $P(K)$ be the product of the volume of an origin symmetric convex body $K$ and its dual/polar body $K^*$. Mahler conjectured...
{"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/14512/simple-question-about-covariance
# simple question about covariance Let $x,y,z$ be three random variables. How can you show that: $$\operatorname{cov}(x+y,z) = \operatorname{cov}(x,z) + \operatorname{cov}(y,z)$$ by using the definition of covariance. - Use the fact that $cov(X,Y)=E(X-EX)(Y-EY)$ and rearrange the terms. I've included the full solutio...
{"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://support.sas.com/documentation/cdl/en/statug/67523/HTML/default/statug_loess_syntax06.htm
# The LOESS Procedure ### MODEL Statement • MODEL dependents = regressors </ options>; The MODEL statement names the dependent variables and the independent variables. Variables specified in the MODEL statement must be numeric variables in the data set being analyzed. Table 59.2 summarizes the options available in ...
{"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.physicsforums.com/showthread.php?p=1757688
# $139 a barrel by Ivan Seeking Tags:$139, barrel P: 184 Quote by Ivan Seeking We are approaching peak oil, but no one knows precisely where the line may lie. For now, we are pumping more crude than ever before, so peak oil is not the issue. What data sets from which oil fields are you using? Most people say we eithe...
{"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.math.snu.ac.kr/board/index.php?mid=seminars&sort_index=date&order_type=desc&page=20&document_srl=812483
※ Zoom ID: 553 119 4205 We review the notions of buildings for projective general linear groups and give a geometric description of the arithmetic quotient of PGL(3). We further discuss dynamical and combinatorial properties of diagonal action on the arithmetic quotient.
{"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.gradesaver.com/textbooks/math/algebra/elementary-algebra/chapter-5-exponents-and-polynomials-5-3-multiplying-polynomials-problem-set-5-3-page-207/28
## Elementary Algebra 3$x^{3}$ - 8$x^{2}$ - 22x + 24 (x - 4)(3$x^{2}$ + 4x - 6) = Use the distributive property. x(3$x^{2}$) +x(4x) +x(-6) -4(3$x^{2}$) -4(4x) -4(-6) = 3$x^{3}$ + 4$x^{2}$ -6x -12$x^{2}$ - 16x + 24= Simplify. 3$x^{3}$ - 8$x^{2}$ - 22x + 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://asu.pure.elsevier.com/en/publications/spin-orbit-interaction-and-spin-selectivity-for-tunneling-electro
# Spin-orbit interaction and spin selectivity for tunneling electron transfer in DNA Solmar Varela, Iskra Zambrano, Bertrand Berche, Vladimiro Mujica, Ernesto Medina Research output: Contribution to journalArticlepeer-review 2 Scopus citations ## Abstract Electron transfer (ET) in biological molecules, such as pep...
{"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://cms.math.ca/10.4153/CMB-2003-036-9
location:  Publications → journals → CMB Abstract view # Gauss and Eisenstein Sums of Order Twelve Let $q=p^{r}$ with $p$ an odd prime, and $\mathbf{F}_{q}$ denote the finite field of $q$ elements. Let $\Tr\colon\mathbf{F}_{q} \to\mathbf{F}_{p}$ be the usual trace map and set $\zeta_{p} =\exp(2\pi i/p)$. For any posi...
{"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://chem.libretexts.org/Ancillary_Materials/Worksheets/Worksheets%3A_General_Chemistry/Worksheets%3A_General_Chemistry_(Traditional)/Building_Atoms_with_Quantum_Leaps_(Worksheet)
# Building Atoms with Quantum Leaps (Worksheet) $$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$ $$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{nu...
{"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://nrich.maths.org/5950
### Consecutive Numbers An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore. ### Roll These Dice Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possibilities that co...
{"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/a-0500-kg-sphere-moving-with-a-velocity-200-260-100-m-s-strikes-another-sphere-of-mass-150-q3364806
A 0.500 kg sphere moving with a velocity (2.00 - 2.60 + 1.00) m/s strikes another sphere of mass 1.50 kg moving with a velocity (-1.00 + 2.00 - 3.00) m/s. (a) If the velocity of the 0.500 kg sphere after the collision is (-1.00 + 3.00 - 8.00) m/s, find the velocity of the 1.50 kg sphere and identify the kind of collisi...
{"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://math.stackexchange.com/questions/61039/a-cycle-which-is-the-product-of-disjoint-m-cycles-does-not-necessarily-have-or
# A cycle which is the product of disjoint $m$-cycles does not necessarily have order $m$? Suppose a cycle $\sigma\in S_n$ has decomposition a product of disjoint $p$-cycles, for $p$ a prime. So each cycle has order $p$, and thus $\sigma^p=id$, so $\sigma$ has order dividing $p$, and thus order $p$ when $\sigma\neq id...
{"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://arg.usask.ca/docs/SasktranIF/iskengine.html
# ISKEngine¶ Create a radiative transfer engine. Several engines are available, • HR, High Resolution our latest successive orders, spherical radiative transfer model. We recommend this model for most limb retrieval applications. • MC, Monte Carlo, a Monte-Carlo spherical radiative transfer model. Slow but accurate. ...
{"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...
https://socratic.org/questions/the-temperature-of-a-3-00-l-sample-of-gas-is-lowered-from-353-k-to-303-k-what-wi
Chemistry Topics # The temperature of a 3.00 L sample of gas is lowered from 353 K to 303 K. What will be the resulting volume of this gas? Jun 29, 2017 As far as we know it would remain at $3 \cdot L$......... #### Explanation: You haven't proposed this question properly; the volume of a gas is a state function o...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 2, "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://link.springer.com/chapter/10.1007%2F978-3-319-65313-6_9
# Noise Sensitivity of Functionals of Fractional Brownian Motion Driven Stochastic Differential Equations: Results and Perspectives • Alexandre Richard • Denis Talay Conference paper Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 208) ## Abstract We present an innovating sens...
{"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.physicsforums.com/threads/rotational-motion.150668/
# Rotational Motion 1. Jan 9, 2007 ### elitespart 1. I need some ideas on how to demonstrate angular velocity and angular acceleration in the class. 3. We have some wheels w/ handles on either side that we can use to show rotation. We're going to apply the equations of angular velocity and acceleration to that. Doe...
{"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://clay6.com/qa/14968/the-selection-in-a-population-subject-to-rapidly-changing-environments-with
# The selection in a population subject to rapidly changing environments with highly fluctuating food sources is called $\begin {array} {1 1} (1)\;Stabilizing\: selection & \quad (2)\;K-selection \\ (3)\;r-selection & \quad (4)\;Disruptive\: selection \end {array}$ (3) r-selection
{"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://wikivisually.com/wiki/0_31_polytope
Rectified 5-simplexes (Redirected from 0 31 polytope) Orthogonal projections in A5 Coxeter plane 5-simplex Rectified 5-simplex Birectified 5-simplex In five-dimensional geometry, a rectified 5-simplex is a convex uniform 5-polytope, being a rectification of the regular 5-simplex. There are three unique degrees of r...
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 9, "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.ideals.illinois.edu/browse?value=Cadman%2C+Robert+Victor&type=author
# Browse by Author "Cadman, Robert Victor" • (2001) The spin observables Ay, iT11, and Cy,y in proton-deuteron elastic scattering were measured over the angular range 65° < ϴcm < 115° at a proton energy Tlab = 197 MeV. These data were acquired with a polarized proton beam ... application/pdf PDF (4Mb)
{"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://electriccoin.co/pt/blog/new-release-2-0-4/
# New Release: 2.0.4 This release of Zcashd v2.0.4 fixes a Sprout wallet security bug, fixes miner address selection behaviour and introduces a new consensus rule on testnet to reject blocks that violate turnstiles. Zcashd v2.0.4 will be supported until block 569112, expected to arrive around July 15th, 2019, at which...
{"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.physicsforums.com/threads/newtons-laws-blocks-and-pulleys-problem-with-friction.934780/
# Newton's laws -- Blocks and pulleys problem with friction... 1. Dec 18, 2017 ### Eitan Levy 1. The problem statement, all variables and given/known data The coefficient of friction between A and the table is μA. The coefficient of friction between A and B is μB. A, B, C and D all move with an acceleration of 2m/s...
{"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...