url string | text string | date timestamp[s] | metadata string |
|---|---|---|---|
http://nlab-pages.s3.us-east-2.amazonaws.com/nlab/show/perturbative+quantum+field+theory | # Contents
## Idea
What is called perturbative quantum field theory (pQFT) is quantum field theory where the interaction (between fields/particles) is treated as a tiny perturbation of the “free field theory” where no interaction is assumed to take place (“perturbation theory”). This is meant to be an approximation t... | 2022-01-27T08:31:02 | {"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://optimization-online.org/2016/04/5418/ | # Completely positive semidefinite rank
An $n\times n$ matrix $X$ is called completely positive semidefinite (cpsd) if there exist $d\times d$ Hermitian positive semidefinite {matrices} $\{P_i\}_{i=1}^n$ (for some $d\ge 1$) such that $X_{ij}= {\rm Tr}(P_iP_j),$ for all $i,j \in \{ 1, \ldots, n \}$. The cpsd-rank of a ... | 2022-12-03T18:51:48 | {"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://mathcrypto.wordpress.com/page/2/ | # A formula for generating strong pseudoprimes
We show in the previous post that $2^n-1$ is a strong pseudoprime to base 2 whenever $n$ is a pseudoprime to base 2. This formula establishes that there are infinitely many strong pseudoprime to base 2. Since the smallest pseudoprime to base 2 is 341, the smallest possibl... | 2020-05-27T02:02:18 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 738, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/m... |
https://statistics.berkeley.edu/tech-reports/482 | # Enumerations of trees and forests related to branching processes and random walks
Report Number
482
Authors
Jim Pitman
Citation
In Microsurveys in Discrete Probability edited by D. Aldous and J. Propp. DIMACS Ser. Discrete Math. Theoret. Comput. Sci..
Abstract
In a Galton-Watson branching process with offspring dis... | 2022-08-12T16:02:33 | {"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://uprivateta.com/emet3007-8012-assignment-2/ | ## Instructions:
This assignment is worth either $20 \%$ or $25 \%$ of the final grade, and is worth a total of 75 points. All working must be shown for all questions. For questions which ask you to write a program, you must provide the code you used. If you have found code and then modified it, then the original sour... | 2022-08-18T01:06:34 | {"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://datawookie.netlify.com/blog/2015/09/monthofjulia-day-6-composite-types/ | # MonthOfJulia Day 6: Composite Types
2015-09-05 Andrew B. Collier
I’ve had a look at the basic data types available in Julia as well as how these can be stashed in collections. What about customised-composite-DIY-build-your-own style types?
Composite types are declared with the type keyword. To illustrate we’ll dec... | 2019-04-23T08:08:05 | {"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://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... | 2021-05-11T13:21:59 | {"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://s112471.gridserver.com/agrimony-identification-fhgqau/a35c1c-newton%27s-law-of-gravitation-equation | If you're behind a web filter, please make sure that … Given this, the gravity of the Earth may be highest at the core/mantle boundary. This Wikipedia page has made their approach obsolete. , Newton's description of gravity is sufficiently accurate for many practical purposes and is therefore widely used. ), Correspond... | 2021-06-22T00:35:52 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://brilliant.org/problems/t-ratios/ | # T-Ratios!
Geometry Level 3
If $$3\cos\theta-5\sin\theta = 3\sqrt{2}$$, where $$\theta \in ( - \frac{ \pi}{2} , 0 )$$, then what is the value of $$5\cos\theta+3\sin\theta-4$$?
× | 2018-02-23T20:38:54 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://www.self.gutenberg.org/articles/eng/Trigonometry | #jsDisabledContent { display:none; } My Account | Register | Help
# Trigonometry
Article Id: WHEBN0018717261
Reproduction Date:
Title: Trigonometry Author: World Heritage Encyclopedia Language: English Subject: Collection: Trigonometry Publisher: World Heritage Encyclopedia Publication Date:
### Trigonometry
Th... | 2020-09-27T11:02:55 | {"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.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,... | 2018-02-18T07:12:56 | {"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://waterprogramming.wordpress.com/category/time-series/ | # Motivation
Robust water resource planning and management decisions rely upon the evaluation of alternative policies under a wide variety of plausible future scenarios. Often, despite the availability of historic records, non-stationarity and system uncertainty require the generation of synthetic datasets to be used ... | 2022-10-07T13:24:31 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 25, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://www.gyanstudypoint.com/2020/05/12-class-Maths-Notes-Chapter-4-Determinants-free-PDF-Quick-revision-Determinants-Notes-class-12-maths.html | 12 class Maths Notes Chapter 4 Determinants free PDF| Quick revision Determinants Notes class 12 maths
CBSE Revision Notes for CBSE Class 12 Mathematics Determinants Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, co-factors and applications of determinants in finding the are... | 2022-07-06T16:41:00 | {"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.numerade.com/questions/light-of-wavelength-1216-mathrmnm-is-emitted-by-a-hydrogen-atom-what-are-the-a-higher-quantum-number/ | Our Discord hit 10K members! 🎉 Meet students and ask top educators your questions.Join Here!
# Light of wavelength 121.6 $\mathrm{nm}$ is emitted by a hydrogen atom. What are the (a) higher quantum number and (b) lowerquantum number of the transition producing this emission? (c)What is the name of the series that inc... | 2021-05-07T13:49:35 | {"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... |
http://kitchingroup.cheme.cmu.edu/blog/2013/07/04/Estimating-where-two-functions-intersect-using-data/ | ## Estimating where two functions intersect using data
| categories: data analysis | tags: | View Comments
Suppose we have two functions described by this data:
T(K) E1 E2
300 -208 -218
400 -212 -221
500 -215 -220
600 -218 -222
700 -220 -222
800 -223 -224
900 -227 -225
1000 -229 -227
1100 -233 -228
1200 -235 -227
13... | 2019-04-22T06:49:07 | {"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": 1, "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... | 2020-09-29T14:24:22 | {"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... |
http://mathhelpforum.com/calculus/209020-relate-rates-problem-print.html | # Relate Rates Problem
• December 3rd 2012, 07:50 PM
mjo
Relate Rates Problem
Here is the question I am having trouble with:
The sun is passing over a 100 m tall building. The angle θ made by the sun with the ground is increasing at a rate of pi/20 rads/min. At what rate is the length of the shadow of the building cha... | 2015-09-03T05:32:01 | {"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": 5, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.subjectcoach.com/tutorials/math/topic/calculus/chapter/integrals | # Integrals
There are many different uses for integrals. These include finding volumes of solids of revolution, centres of mass, and the distance that Gus the snail has travelled during his attempts on the land-speed record. Definite integrals also have many applications in Physics. One common use of integrals is to f... | 2022-01-19T17:27:40 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://testbook.com/question-answer/while-solving-an-lpp-defined-by-n-variables-and-m--5f74450d47146fe7236c40c9 | # While solving an LPP (defined by n variables and m equations, m < n) through simplex method, basic solutions are determined by setting n – m variables equal to zero and solving m equations to obtain solution for remaining m variables, provided the resulting solutions are unique. This means that the maximum number of ... | 2021-09-27T19:04:12 | {"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": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.groundai.com/project/learning-with-square-loss-localization-through-offset-rademacher-complexity/ | Learning with Square Loss: Localization through Offset Rademacher Complexity
# Learning with Square Loss: Localization through Offset Rademacher Complexity
Tengyuan Liang Department of Statistics, The Wharton School, University of Pennsylvania Alexander Rakhlin 11footnotemark: 1 Karthik Sridharan Department of ... | 2020-01-23T23:07:20 | {"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://chem.libretexts.org/Core/Physical_and_Theoretical_Chemistry/Kinetics/Modeling_Reaction_Kinetics/Temperature_Dependence_of_Reaction_Rates/Changing_Reaction_Rates_with_Temperature | # Changing Reaction Rates with Temperature
The vast majority of reactions depend on thermal activation, so the major factor to consider is the fraction of the molecules that possess enough kinetic energy to react at a given temperature. According to kinetic molecular theory, a population of molecules at a given temper... | 2017-10-17T05:45:52 | {"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://hsm.stackexchange.com/questions/2567/why-is-kg-the-standard-unit-for-mass-and-not-g-in-si | # Why is kg the standard unit for mass and not g in SI?
Why is $\mathrm{kg}$ the standard unit for mass and not $\mathrm{g}$?
I know that there is the kilogramme des Archives which is a kilogram and not a gram. But originally on April 7, 1795 the gram was defined as
The absolute weight of a volume of pure water equa... | 2021-06-20T13:58:07 | {"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://tex.stackexchange.com/questions/48538/how-to-set-exact-radius-for-a-node/48540 | # How to set exact radius for a node?
I have a bunch of nodes and would like to size them so that their areas represent some numbers I have (so that if I have two nodes with corresponding values 1 and 2, then the second node's area should be double the first's). I'm trying to achieve this using some combination of min... | 2015-07-30T14:27:00 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zbmath.org/?q=an%3A0732.01042 | # zbMATH — the first resource for mathematics
The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer. (English) Zbl 0732.01042
Contemporary Mathematicians. Boston etc.: Birkhäuser Verlag. xx, 475 p./v.1; xx, 38... | 2021-02-27T02:00:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.statistics-lab.com/tag/math3968/ | 数学代写|黎曼几何代写Riemannian geometry代考|МАТН6205
statistics-lab™ 为您的留学生涯保驾护航 在代写黎曼几何Riemannian geometry方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在代写黎曼几何Riemannian geometry代写方面经验极为丰富，各种代写黎曼几何Riemannian geometry相关的作业也就用不着说。
• Statistical Inference 统计推断
• Statistical Computing 统计计算
• Advanced Probability Theory 高等概率论
• A... | 2022-08-12T20:53:30 | {"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": 1, "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_-_An_Investigation_of_Functions_(Lippman_and_Rasmussen)/09%3A_Conics/9.03%3A_Parabolas_and_Non-Linear_Systems/9.3.3E%3A_9.3.3E%3A_Parabolas_and_Non-Linear_Systems_(Exercises) |
# 9.3.3E: Parabolas and Non-Linear Systems (Exercises)
Section 9.3 Exercises
In problems 1–4, match each graph with one of the equations A–D.
A. $$y^2 = 4x$$
B. $$x^2 = 4y$$
C. $$x^2 = 8y$$
D. $$y^2 + 4x = 0$$
1. 2. 3. 4.
In problems 5–14, find the vertex, axis of symmetry, directrix, and focus of the parabol... | 2020-06-04T02:51:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.groundai.com/project/evolution-of-the-temporal-and-the-spectral-properties-in-2010-and-2011-outbursts-of-h-1743-322/ | Evolution of the temporal and the spectral properties in 2010 and 2011 outbursts of H 1743-322
# Evolution of the temporal and the spectral properties in 2010 and 2011 outbursts of H 1743-322
Dipak Debnath111Tel.: + 91 33 24366003/24622153, Extn: 26; Fax: + 91 33 24366003/24622153, Extn: 28 Indian Centre For Space Ph... | 2020-07-09T20:38:37 | {"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.ck12.org/book/Geometry---Second-Edition/r1/section/3.5/ | <img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
# 3.5: Parallel and Perpendicular Lines in the Coordinate Plane
Difficulty Level: At Grade Created by: CK-12
## Learning Objectives
• Compute slope.
• Determine the equation of paralle... | 2016-12-04T19:03:26 | {"extraction_info": {"found_math": true, "script_math_tex": 116, "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/m... |
https://support.bioconductor.org/p/76829/ | WGCNA HELP - Error: REAL() can only be applied to a 'numeric', not a 'integer'
2
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I've been analysing gene expression networks from my RNAseq dataset using the WGCNA software, using the following code on a single .csv folder with individuals ... | 2022-08-13T19:22:02 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stats.libretexts.org/Courses/Marian_University/Applied_Statistics_for_Social_Science/05%3A_Confidence_Intervals/5.4%3A_A_Population_Proportion | # 5.4: A Population Proportion
During an election year, we see articles in the newspaper that state confidence intervals in terms of proportions or percentages. For example, a poll for a particular candidate running for president might show that the candidate has 40% of the vote within three percentage points (if the... | 2022-10-03T02:20:09 | {"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": 1, "mathjax_asciimath": 1, "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... | 2017-01-20T01:37:07 | {"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://www.azimuthproject.org/azimuth/show/Reynolds+number | # Contents
## Idea
From the Wikipedia article on the subject:
In fluid mechanics, the Reynolds number (Re) is a dimensionless number that gives a measure of the ratio of inertial forces to viscous forces and consequently quantifies the relative importance of these two types of forces for given flow conditions.
Belo... | 2019-07-18T02:29:07 | {"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... |
http://clay6.com/qa/9208/if-a-is-a-square-matrix-of-order-n-then-adj-a-is | Browse Questions
# If $A$ is a square matrix of order $n$ then |adj$A$| is
$\begin{array}{1 1}(1)|A^{2}| &(2) |A|^{n}\\ (3)|A|^{n-1}&(4)|A|\end{array}$
$A(adj A) = (adj A )A =|A|$
$A (adj A) =\begin{bmatrix} |A| & 0 & 0 & ... & 0\\ 0 & |A| & 0 & ... & |A| \\ ... & ... & ... & ... \\ 0 & 0 & ... & ... & |A| \end{bmat... | 2017-02-20T08:39:07 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://mathematica.stackexchange.com/questions/24795/unset-variable-by-its-name-given-as-a-string | # Unset variable by its name given as a string
Unlike the function Clear, the function Unset does not work for string patterns. Given the name of a variable as a string, how can you unset the corresponding variable? Example:
Given:
x = 10;
trying to unset later:
Unset[Symbol["x"]]
results in
Unset::write: Tag ... | 2014-11-24T06:50:55 | {"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://math.stackexchange.com/questions/105187/converse-of-golds-theorem-and-necessary-condition-for-unlearnability | # Converse of Gold's theorem and necessary condition for unlearnability
### Background
A class of languages $C$ has Gold's Property if $C$ contains
1. a countable infinite number of languages $L_i$ such that $L_i \subsetneq L_{i + 1}$ for all $i > 0$
2. a further language $L_\infty$ such that for any $i > 0$, if $x ... | 2014-09-22T06:48:41 | {"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... | 2022-06-26T06:16:59 | {"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://csdms.colorado.edu/wiki/Model_help:DeltaNorm | # Model help:DeltaNorm
## DeltaNorm
This is a calculator for evolution of long profile of a river ending in a 1D migrating delta, using the normal flow approximation.
## Model introduction
This program calculates the bed surface evolution for a narrowly channelized 1D fan-delta prograding into standing water, as we... | 2022-08-13T20:55:54 | {"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... |
http://en.wikipedia.org/wiki/Relation_between_Schr%c3%b6dinger's_equation_and_the_path_integral_formulation_of_quantum_mechanics | # Relation between Schrödinger's equation and the path integral formulation of quantum mechanics
This article relates the Schrödinger equation with the path integral formulation of quantum mechanics using a simple nonrelativistic one-dimensional single-particle Hamiltonian composed of kinetic and potential energy.
##... | 2014-03-10T04:31:13 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 34, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
http://catalog.flatworldknowledge.com/bookhub/reader/2223?e=cooperecon-ch31_s07 | Study Aids:
Click the Study Aids tab at the bottom of the book to access your Study Aids (usually practice quizzes and flash cards).
Study Pass:
Study Pass is our latest digital product that lets you take notes, highlight important sections of the text using different colors, create "tags" or labels to filter your n... | 2013-05-19T00:39:01 | {"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.oalib.com/relative/2313269 | Home OALib Journal OALib PrePrints Submit Ranking News My Lib FAQ About Us Follow Us+
Title Keywords Abstract Author All
Search Results: 1 - 10 of 100 matches for " "
Page 1 /100 Display every page 5 10 20 Item
Computer Science , 2015, Abstract: We study the Optimal Linear Arrangement (OLA) problem of Halin graphs, ... | 2019-10-21T04:38:50 | {"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/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... | 2018-03-19T04:00:57 | {"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://felperez.github.io/posts/2020/03/blog-post-31/ | # Is overfitting… good?
Published:
Conventional wisdom in Data Science/Statistical Learning tells us that when we try to fit a model that is able to learn from our data and generalize what it learned to unseen data, we must keep in mind the bias/variance trade-off. This means that as we increase the complexity of our... | 2022-01-18T23:24:31 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://docs.recombee.com/reql_values_operators.html | # Value Types and Operators¶
In compliance with Recombee Recommender API, there are 6 value types which correspond to possible domains of item/user properties:
• int – signed integer (currently 64bit),
• double – double-precision floating-point number (IEEE 754 compliant),
• timestamp – UTC timestamp, similar to doub... | 2018-06-21T13:45:19 | {"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... |
http://mathoverflow.net/questions/66473/group-cohomology-of-an-abelian-group-with-nontrivial-action/66481 | # Group cohomology of an abelian group with nontrivial action
How do I compute the group cohomology $H^2(G,A)$ if G is a finite abelian group acting nontrivially on a finite abelian group A?
-
Type it into a computer. Seriously. Magma will definitely do it. – Kevin Buzzard May 30 '11 at 19:44
GAP too........ – Fern... | 2015-07-31T17:45:06 | {"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": 1, "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... | 2022-07-07T13:15:24 | {"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 ... | 2015-03-31T00:19:07 | {"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... | 2023-02-06T02:09:18 | {"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... |
https://www.bartleby.com/solution-answer/chapter-99-problem-13es-discrete-mathematics-with-applications-5th-edition/9781337694193/one-urn-contains-10-red-balls-and-25-green-balls-and-a-second-urn-contains-22-red-balls-and-15/d955d228-a4f1-443e-8d66-28f23d2e19b4 | Chapter 9.9, Problem 13ES
### Discrete Mathematics With Applicat...
5th Edition
EPP + 1 other
ISBN: 9781337694193
Chapter
Section
### Discrete Mathematics With Applicat...
5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
1 views
# One urn contains 10 red balls and 25 green balls, and a second urn co... | 2019-12-09T20:49:55 | {"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://math.stackexchange.com/questions/835016/show-that-a-group-of-order-p2q2-is-solvable | # Show that a group of order $p^2q^2$ is solvable
I am trying to prove that a group of order $p^2q^2$ where $p$ and $q$ are primes is solvable, without using Burnside's theorem. Here's what I have for the moment:
• If $p = q$, then $G$ is a $p$-group and therefore it is solvable.
• If $p \neq q$, we shall look at the... | 2021-10-28T04:15:06 | {"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": 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/trigonometry/131527-solved-another-trigonometric-identity-print.html | # [SOLVED] Another trigonometric Identity
• Mar 1st 2010, 06:08 PM
F.A.S.T.
[SOLVED] Another trigonometric Identity
I figured out the problem before, but now I have no clue what I did. Can you please help me figure this out!
The It is in the word document!
• Mar 2nd 2010, 12:27 AM
Hello F.A.S.T.
Quote:
Originally Po... | 2017-07-22T02:54:03 | {"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": 13, "wp_latex": 0, "mimetex.cgi": 0, "/images/ma... |
https://socratic.org/questions/how-do-you-find-the-intercepts-vertex-and-graph-f-x-2x-2-8x-3 | # How do you find the intercepts, vertex and graph f(x)=-2x^2+8x-3?
Feb 21, 2017
Vertex $\left(2 , 5\right)$
X intercept (3.58, 0); (0.42, 0)
Y-Intercept $\left(0 , - 3\right)$
#### Explanation:
Given -
$f \left(x\right) = - 2 {x}^{2} + 8 x - 3$
Vertex
$x = \frac{- b}{2 a} = \frac{- 8}{2 \times - 2} = \frac{8}{-... | 2021-08-05T05:20:27 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 27, "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.physicsforums.com/threads/newtons-first-law-should-not-be-termed-an-expression-of-inertia.568987/ | # Newtons first law should not be termed an expression of inertia
1. Jan 19, 2012
### johann1301
Newtons first law should not be termed an expression of inertia
LAW I.
EVERY BODY PERSEVERES IN ITS STATE OF REST, OR OF UNIFORM MOTION IN A RIGHT LINE, UNLESS IT IS COMPELLED TO CHANGE THAT STATE BY FORCES IMPRESSED TH... | 2018-01-21T07:19:25 | {"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://people.maths.bris.ac.uk/~matyd/GroupNames/321/C6xC9sS3.html | Copied to
clipboard
## G = C6×C9⋊S3order 324 = 22·34
### Direct product of C6 and C9⋊S3
Series: Derived Chief Lower central Upper central
Derived series C1 — C3×C9 — C6×C9⋊S3
Chief series C1 — C3 — C32 — C3×C9 — C32×C9 — C3×C9⋊S3 — C6×C9⋊S3
Lower central C3×C9 — C6×C9⋊S3
Upper central C1 — C6
Generators and re... | 2020-02-28T10:33:13 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://zims-en.kiwix.campusafrica.gos.orange.com/wikipedia_en_all_nopic/A/Symbol_of_a_differential_operator | # Symbol of a differential operator
In mathematics, the symbol of a linear differential operator is obtained from a differential operator of a polynomial by, roughly speaking, replacing each partial derivative by a new variable. The symbol of a differential operator has broad applications to Fourier analysis. In parti... | 2022-01-22T06:41:58 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 18, "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.aimsciences.org/article/doi/10.3934/krm.2017038 | American Institute of Mathematical Sciences
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Boundary layers for discrete kinetic models: Multicomponent mixtures, polyatomic molecules, bimolecular reactions, and quantum kinetic equation... | 2022-05-25T17:21:45 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.freemathhelp.com/forum/threads/help.75365/ | # Help!!!!!!!!!
#### robin
##### New member
if you flip a coin 100 times and then pick 4 colors...how many combinations do u get?HELP ME!
#### soroban
##### Elite Member
Hello, robin!
If you flip a coin 100 times and then pick 4 colors, how many combinations do u get?
When we flip the coin 100 times, are we count... | 2019-02-23T05:04:19 | {"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://blogs.zhinst.com/mehdia/2019/09/16/synchronization-of-multiple-mfli-lock-in-amplifiers-by-mds/ | ## Introduction
Multi-channel signal generation and detection are indispensable in many applications such as multi-qubit quantum computing and multi-sensor systems. Synchronization of signal channels comes to the equation when the temporal sequence of events is of interest, especially for fast physical phenomena with ... | 2020-01-27T00:54:34 | {"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.gradesaver.com/textbooks/math/other-math/thinking-mathematically-6th-edition/chapter-11-counting-methods-and-probability-theory-11-3-combinations-exercise-set-11-3-page-708/45 | ## Thinking Mathematically (6th Edition)
Published by Pearson
# Chapter 11 - Counting Methods and Probability Theory - 11.3 Combinations - Exercise Set 11.3: 45
#### Answer
$1140$ ways
#### Work Step by Step
The order in which the members are chosen is not important Combinations, ${}_{n}C_{r}=\displaystyle \frac{... | 2018-05-24T19:43:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://lipson.ee.columbia.edu/publications?f%5Bauthor%5D=5 | # Publications
2017
Stern, Brian, Xingchen Ji, Avik Dutt, and Michal Lipson. “Compact narrow-linewidth integrated laser based on a low-loss silicon nitride ring resonator.” Optics Letters 42, no. 21 (2017): 4541-4544. Publisher's Version Abstract
We design and demonstrate a compact, narrow-linewidth integrated laser b... | 2017-11-19T06:48:13 | {"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://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 ... | 2021-01-27T03:12:17 | {"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://stats.stackexchange.com/questions/459964/method-of-moments-and-mle-estimates-for-lomax-pareto-type-2 | # Method of moments and MLE estimates for Lomax (Pareto Type 2)
I have this dataset, on which I am supposed to fit Lomax distribution with MM and MLE. Lomax pdf is: $$f(x|\alpha, \lambda) = \frac{\alpha\lambda^\alpha}{\left(\lambda+x\right)^{\alpha+1}}$$ For MM, it is possible to show that: $$\hat{\alpha}=\frac{2\hat{... | 2020-11-25T20:03:12 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://juliamanifolds.github.io/Manifolds.jl/stable/interface.html | # ManifoldsBase.jl – an interface for manifolds
The interface for a manifold is provided in the lightweight package ManifoldsBase.jl. You can easily implement your algorithms and even your own manifolds just using the interface. All manifolds from the package here are also based on this interface, so any project based... | 2021-09-20T12:07:55 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
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... | 2019-11-14T19:50:35 | {"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... |
http://mathoverflow.net/questions/44238/how-to-find-vector-pm-1-pm-1-pm-1-pm-1-which-is-most-close-to-giv?sort=oldest | # how to find vector $(\pm 1, \pm 1, \pm 1, … \pm 1)$ which is most close to given vector (r_1,…r_l) ? Is it NP-problem ? What algorithms are available ?
Given: some vector $R=(r_1...r_l)$ - real numbers, and a set of distinct vectors with $+1$ or $-1$ coordinates $$\begin{array}{c} V_1=(c_{1,1} ... c_{1,l}),\\\ V_2=(... | 2014-07-24T20:19:49 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.reddit.com/r/cheatatmathhomework/comments/1jfqoz/diff_eq_minimizing_functionseulerlagrange_equation/ | This is an archived post. You won't be able to vote or comment.
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Sorry for the late reply. First, thanks for responding to this - didn't think anyone would. Second, could you provide an example of how to apply the E-L equation to take these fu... | 2017-03-30T01:36:20 | {"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": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://physics.stackexchange.com/questions/565399/how-much-hotter-will-an-object-get-if-i-paint-it-black | # How much hotter will an object get if I paint it black?
If black is the best absorber and radiator, why does it get hot?
Black and white matters. But why and how?
If a black body is a perfect absorber, why does it emit anything?
Why is black the best emitter?
Some respondents referred to the Stefan-Boltzmann Law... | 2021-08-01T08:48:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://sikademy.com/answer/computer-science/discrete-mathematics/let-and-is-divisible-by-in-show-that-is-an-equivalence-r-jnie/ | is below this banner.
Can't find a solution anywhere?
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## Here's the Solution to this Question
a) Let $X = \{1,2,3,4,5,6,7\}$ and $R = \{(x,y)|x-y\text{ is divisible by }3\}... | 2023-02-01T13:27:19 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 45, "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/128314/showing-a-series-converges-non-uniformly | # Showing a series converges non-uniformly
For the series $$f(x) = \sum_{n=0}^\infty \frac{1}{n(1+nx^2)}$$ my lecture notes use the Weierstrass M-test to show that this converges uniformly on any interval of the form $(-\infty,-a)$ or $(a,\infty)$ for $a>0$ and says that it converges non uniformly on $(0,a)$ or $(-a,0... | 2014-07-22T11:28:54 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://quant.stackexchange.com/questions/4607/how-to-make-the-final-interpretation-of-pca/4628 | How to make the final Interpretation of PCA?
I have question regarding final loading of data back to original variables.
So for example:
I have 10 variable from a,b,c....j using returns for last 300 days i got return matrix of 300 X 10. Further I have normalized returns and calculated covariance matrix of 10 X 10. N... | 2014-11-27T19:46:53 | {"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": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://proofwiki.org/wiki/Definition:Angle/Types | Definition:Angle/Types
Definition
Angles can be divided into categories:
Zero Angle
The zero angle is an angle the measure of which is $0$ regardless of the unit of measurement.
Acute Angle
An acute angle is an angle which has a measure between that of a right angle and that of a zero angle.
Right Angle
A right... | 2019-07-21T00:25:51 | {"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": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://www.zbmath.org/authors/?q=ai%3Abooker.john-robert | # zbMATH — the first resource for mathematics
## Booker, John Robert
Compute Distance To:
Author ID: booker.john-robert Published as: Booker, J. R.; Booker, John R.; Booker, John Robert; Booker, John
Documents Indexed: 76 Publications since 1967 Biographic References: 3 Publications
all top 5
#### Co-Authors
4 s... | 2021-09-23T20:10:03 | {"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://bioconductor.org/packages/3.11/bioc/vignettes/ramwas/inst/doc/RW2_CpG_sets.html | # 1 CpG sets
RaMWAS calculates CpG scores and performs further analyses at a set of CpGs (or locations in general) defined by the user via filecpgset parameter. The filecpgset parameter must point to an .rds file (a file saved using saveRDS function), with the set of locations stored as a list with one sorted vector o... | 2020-02-22T01:54:51 | {"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": 1, "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 | 2023-02-08T17:45:24 | {"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://plainmath.net/4312/sketch-cycle-curve-assume-write-equation-graph-amplitude-equal-period | # Sketch one cycle of each sine curve. Assume a > 0. Write an equation for each graph. amplitude = 2 period = (pi/2)
Sketch one cycle of each sine curve. Assume $a>0$. Write an equation for each graph. amplitude = 2 period = $\frac{\pi }{2}$
You can still ask an expert for help
• Questions are typically answered in ... | 2022-06-28T12:54:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 24, "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://archive.numdam.org/item/ASNSP_1998_4_26_4_689_0/?source=AIHPC_1998__15_4_493_0 | Monotonicity and symmetry of solutions of $p$-Laplace equations, $1, via the moving plane method
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 26 (1998) no. 4, pp. 689-707.
@article{ASNSP_1998_4_26_4_689_0,
author = {Damascelli, Lucio and Pacella, Filomena},
title = {Monotonicity an... | 2023-02-06T18:31:58 | {"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": 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... | 2020-09-23T23:21:26 | {"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://gyre.readthedocs.io/en/latest/ref-guide/osc-equations/dimless-equations.html | # Dimensionless Formulation
To improve numerical stability, GYRE solves the separated equations by recasting them into a dimensionless form that traces its roots back to Dziembowski (1971).
## Variables
The independent variable is the fractional radius $$x \equiv r/R$$ and the dependent variables $$\{y_{1},y_{2},\... | 2022-09-28T22:37:57 | {"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": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
http://openstudy.com/updates/504de867e4b02f46fa8991ce | anonymous 4 years ago Give a unique example of each: An absolute value equation with two solutions An absolute value equation with one solution An absolute value equation with no solutions
1. anonymous
|x|=9< it could be 9 or -9 |x-2|=0< it has to be 2 |x|=-4< it can't be negative :)
2. anonymous
$\left| x \right|=... | 2016-10-24T07:20:08 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 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/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... | 2021-08-05T09:31:26 | {"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... |
http://clay6.com/qa/50866/which-of-the-following-facts-regarding-the-movement-of-anions-in-the-soluti | # Which of the following facts regarding the movement of anions in the solution is correct
$\begin{array}{1 1}\text{Towards cathode in an electrolytic cell and towards anode in a galvanic cell}\\\text{Towards anode in an electrolytic cell and towards cathode in a galvanic cell}\\\text{Towards cathode in both types of ... | 2018-03-22T00:21:46 | {"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": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://planetmath.org/derivationofrotationmatrixusingpolarcoordinates | # derivation of rotation matrix using polar coordinates
We derive formally the expression for the rotation of a two-dimensional vector $\boldsymbol{v}=a\boldsymbol{x}+b\boldsymbol{y}$ by an angle $\phi$ counter-clockwise. Here $\boldsymbol{x}$ and $\boldsymbol{y}$ are perpendicular unit vectors that are oriented count... | 2019-09-18T06:58:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 19, "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://cpb.iphy.ac.cn/EN/10.1088/1674-1056/ac5986 | Chin. Phys. B, 2022, Vol. 31(5): 050203 DOI: 10.1088/1674-1056/ac5986
RAPID COMMUNICATION Prev Next
# Gauss quadrature based finite temperature Lanczos method
Jian Li(李健) and Hai-Qing Lin(林海青)
Beijing Computational Science Research Center, Beijing 100193, China
Abstract The finite temperature Lanczos method (F... | 2023-02-08T06:07:13 | {"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://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 ... | 2019-10-22T16:28:14 | {"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... |
https://www.nature.com/articles/s41598-020-77684-w?error=cookies_not_supported&code=959172c8-7a75-44cb-a742-3aad1ff2caee | Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles an... | 2021-07-29T09:54:03 | {"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://www.cs.toronto.edu/~guerzhoy/180/lec/W05/lec1/PIwithRand.html | Idea: generate N points in the 1x1 square in the first quadrant¶
2
1----
. |
. |
.|
0 1 2 3
Compute the number of points which fall within the unit circle centered at 1.
The quarter-circle that's the part of the unit circle that's in the first quadrant has area $\frac{1}{4}\pi ×{1}^{2}=\frac{1}{4}\pi$$\fra... | 2023-02-05T17:33:45 | {"extraction_info": {"found_math": true, "script_math_tex": 9, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 9, "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://wiki.fast.ai/index.php/Logistic_Regression | # Logistic Regression
INCOMPLETE. WORK IN PROGRESS!!!
## Overview
Logistic regression is a classification algorithm, used to estimate probabilities (Binary values like 0/1, yes/no, true/false) based on given set of independent variable(s). Its output values lies between 0 and 1. Prior to building a model, the featur... | 2017-03-30T22:38:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 21, "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/ma... |
https://blog.acolyer.org/2017/11/24/on-the-information-bottleneck-theory-of-deep-learning/ | On the information bottleneck theory of deep learning Anonymous et al., ICLR’18 submission
Last week we looked at the Information bottleneck theory of deep learning paper from Schwartz-Viz & Tishby (Part I,Part II). I really enjoyed that paper and the different light it shed on what’s happening inside deep neural netw... | 2017-12-17T21:43:23 | {"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": 7, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
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... | 2013-05-24T08:36:40 | {"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://www.tutorialspoint.com/convex_optimization/extreme_point_of_convex_set.htm | # Extreme point of a convex set
Let S be a convex set in $\mathbb{R}^n$. A vector $x \in S$ is said to be a extreme point of S if $x= \lambda x_1+\left ( 1-\lambda \right )x_2$ with $x_1, x_2 \in S$ and $\lambda \in\left ( 0, 1 \right )\Rightarrow x=x_1=x_2$.
## Example
Step 1 − $S=\left \{ \left ( x_1,x_2 \right ) ... | 2021-10-27T01:32:16 | {"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://lhcbproject.web.cern.ch/lhcbproject/Publications/LHCbProjectPublic/LHCb-PAPER-2015-006.html | # Observation of the ${B^0 \to \rho^0 \rho^0}$ decay from an amplitude analysis of ${B^0 \to (\pi^+\pi^-)(\pi^+\pi^-)}$ decays
[to restricted-access page]
## Abstract
Proton-proton collision data recorded in 2011 and 2012 by the \lhcb experiment, co\-rres\-pon\-ding to an integrated luminosity of 3.0\invfb, are a\-n... | 2020-07-16T17:29:55 | {"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://mathcs.albion.edu/Colloquium_List.php | Math/CS Home People Faculty and Staff Alumni Prospective Students Request Information Apply Online Now Academics Preparation Majors Mathematics Math/Economics Math/Physics Computer Science Minors Mathematics Applied Mathematics Statistics Computer Science Courses Mathematics Computer Science Schedule Colloquium Series ... | 2021-09-28T20:11:20 | {"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... |
https://encyclopediaofmath.org/wiki/Lefschetz_theorem | # Lefschetz theorem
Lefschetz' fixed-point theorem, or the Lefschetz–Hopf theorem, is a theorem that makes it possible to express the number of fixed points of a continuous mapping in terms of its Lefschetz number. Thus, if a continuous mapping $f : X \rightarrow X$ of a finite CW-complex (cf. also Cellular space) $X$... | 2021-03-04T12:06:09 | {"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": 1, "mathjax_asciimath": 0, "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: $$\int_{{\frac {\pi}{8}}}^{{\frac {7\,\pi}{8}}}\!{\frac {\ln \left( 1- \cos \left( t \right) \right) }{\sin \left( t \right) }}\,{\rm d}t... | 2022-08-14T17:21:28 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://mathoverflow.net/questions/398088/period-map-for-partial-bar-partial-manifolds | # Period map for $\partial\bar\partial$-manifolds
When we talk about the theory of variation of Hodge structures, we always assume that the central fiber is a Kähler manifold $$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))$$, $$... | 2021-10-24T00:21:42 | {"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://wiki.zhen-zhang.com/tech/notes/books/PPA/PPA%20-%20Intro/ | # PPA - Intro
## DFA
### RDA
Reaching Definitions Analysis (or more properly, Reaching Assignment Analysis):
An assignment (or definition) of form l: x := a may reach a certain program point if there is an execution of the program where x was last assigned a value of l when the point is reached.
So, $RD(l) = (RD_{... | 2021-03-08T18:46:54 | {"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": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://stacks.math.columbia.edu/tag/0BSK | # The Stacks Project
## Tag 0BSK
### 10.150. Henselization and strict henselization
In this section we construct the henselization. We encourage the reader to keep in mind the uniqueness already proved in Lemma 10.149.6 and the functorial behaviour pointed out in Lemma 10.149.5 while reading this material.
Lemma 10... | 2017-11-23T21:56:09 | {"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": 1, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/mat... |
https://socratic.org/questions/what-are-all-the-possible-rational-zeros-for-f-x-6x-3-5x-2-2x-18-and-how-do-you- | # What are all the possible rational zeros for f(x)=-6x^3+5x^2-2x+18 and how do you find all zeros?
Jan 20, 2018
$x = \sqrt[3]{\frac{100345392 + \sqrt{{100345392}^{2} + 181081080576}}{68024448}} + \sqrt[3]{\frac{100345392 - \sqrt{{100345392}^{2} + 181081080576}}{68024448}} + \frac{5}{18}$
#### Explanation:
We can u... | 2019-11-15T06:14:43 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 39, "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://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... | 2015-05-07T06:42:18 | {"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://physics.stackexchange.com/questions/547127/energy-of-fermi-gas-t0 | # Energy of Fermi Gas $T>0$
I'm trying to plot $$\frac{E(T)}{N\epsilon_F}$$ vs $$\frac{T}{T_F}$$
I know that the total energy comes from $$E(T) = \int_{0}^{\inf} \frac{3}{2}\frac{N}{\epsilon_F}(\frac{\epsilon}{\epsilon_F})^{1/2} \frac{\epsilon}{e^{-\beta\mu+\beta x}+1} d\epsilon$$
I already have the values for $$\fr... | 2020-08-15T17:58:42 | {"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... |
http://www.lmfdb.org/Variety/Abelian/Fq/2/13/ah_bm | # Properties
Label 2.13.ah_bm Base Field $\F_{13}$ Dimension $2$ $p$-rank $2$ Principally polarizable Does not contain a Jacobian
## Invariants
Base field: $\F_{13}$ Dimension: $2$ Weil polynomial: $( 1 - 4 x + 13 x^{2} )( 1 - 3 x + 13 x^{2} )$ Frobenius angles: $\pm0.312832958189$, $\pm0.363422825076$ Angle rank:... | 2019-05-23T11:24:39 | {"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... |
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