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https://deepai.org/publication/an-unconstrained-layer-peeled-perspective-on-neural-collapse
# An Unconstrained Layer-Peeled Perspective on Neural Collapse Neural collapse is a highly symmetric geometric pattern of neural networks that emerges during the terminal phase of training, with profound implications on the generalization performance and robustness of the trained networks. To understand how the last-l...
2021-12-09T14:27:55
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https://mymathteacheristerrible.com/blog/2019/4/17/do-you-know-rhombus
### Based in the Seattle Area. Free study guides and discussions about various topics in Mathematics. Thanks for stopping by! ## Apr 17 Do you know rhombus? Given rhombus $ABCD$, prove: $$AB^{2} + BC^{2} + CD^{2} + DA^{2} = AC^{2} + BD^{2}$$ So simply stated, so much said! Check out the solution HERE!
2019-09-17T09:09:04
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http://mathcentral.uregina.ca/QandQ/topics/%25
Math Central - mathcentral.uregina.ca Quandaries & Queries Q & Q Topic: % start over 12103 items are filed under this topic. Page1/2 Squash scheduling 2015-10-01 From Ed:I have 5 teams and 2 courts. Every Thursday we play at four different times (6,7,8,9 o clock) Each team will play each other 5 times over 25 week...
2015-10-13T11:55:52
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http://www.gfdl.noaa.gov/blog/isaac-held/about/
## LaTeX $latex\int f(x) dx =g$ produces the following equation (actually, you need to add a space after latex; I removed the space so that it would not be parsed as a LaTeX command). $\int f(x)dx = g$ or, to control the font size use $latex\int f(x)dx = g&s=-2$ to generate $\int f(x)dx = g$. The default font size is ...
2014-09-30T21:53:39
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https://www.imath.kiev.ua/~sigma/2013/007/
### Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) SIGMA 9 (2013), 007, 23 pages      arXiv:1210.1177      https://doi.org/10.3842/SIGMA.2013.007 ### Vector-Valued Polynomials and a Matrix Weight Function with B2-Action Charles F. Dunkl Department of Mathematics, University of Virginia, PO Bo...
2018-01-22T19:57:36
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https://www.physicsforums.com/threads/tidal-distortion.82199/
# Tidal distortion 1. Jul 14, 2005 ### cygnus2 I know that when a spherical shell( of negligible mass) is attracted towards a massive body it distorts into an ellipse; keeping its volume const.I have also heard it said that this volume preserving property belongs to that of the inverse square law of gravity.But how ...
2017-10-23T23:00:29
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https://stats.stackexchange.com/questions/173798/l2-norms-of-gradients-increasing-during-training-of-deep-neural-network
# L2-norms of gradients increasing during training of deep neural network I'm training a convolutional neural network (CNN) with 5 conv-layers and 2 fully-connected layers for binary classification using stochastic gradient descent (SGD) with momentum. The accuracy of the network is fine, but I am curious about the be...
2020-09-27T11:35:47
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http://scipy.github.io/devdocs/generated/scipy.signal.residuez.html
# scipy.signal.residuez¶ scipy.signal.residuez(b, a, tol=0.001, rtype='avg')[source] Compute partial-fraction expansion of b(z) / a(z). If M is the degree of numerator b and N the degree of denominator a: b(z) b[0] + b[1] z**(-1) + ... + b[M] z**(-M) H(z) = ------ = -------------------------------------...
2018-05-21T16:36:13
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http://www.gradesaver.com/textbooks/math/algebra/intermediate-algebra-6th-edition/chapter-3-section-3-5-equations-of-lines-vocabulary-readiness-video-check-page-172/8
Intermediate Algebra (6th Edition) Published by Pearson Chapter 3 - Section 3.5 - Equations of Lines - Vocabulary, Readiness & Video Check: 8 Parallel Work Step by Step We are given the lines $y=-5x+8$ $y=-5x-8$ These lines are written in the slope-intercept form $y=mx+b$ (where m is the slope of the line, and the...
2017-05-01T06:42:04
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https://aboveallphotography.com/purple-spring-eguuxu/complete-angle-definition-d21b89
They are the 'other half' of a smaller angle. "° Degree of Angle". There are 2 pi , or approximately 6.28318, radians in a complete circle. The straight angle is a line that does not curve or change angles. Name Definition Visual Clue Triangle Angle Bisector Theorem An angle bisector of a triangle divides the opposite ...
2021-07-31T04:53:10
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http://www.dima.unige.it/ricerca/seminari_sito_nuovo_2.php
## Seminari cerca per oppure vai alle pagine di seminari gestite dai gruppi di ricerca: ALIMA ## Elenco dei seminari tenuti al DIMA precedentemente 17 settembre 2019 - Aula 705 - Seminario di Tatiana Bubba - Malga Seminar Analysis and Learning (Professor Matteo Santacesaria) 24 luglio 2019 - Aula 714 - Seminario di ...
2020-02-22T18:16:53
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https://www.iaa.es/seminars/grb-170817a-peculiar-low-luminosity-short-gamma-ray-burst-associated-ns-ns-merger
# GRB 170817A: a peculiar low-luminosity short gamma-ray burst associated with a NS-NS merger gravitational wave signal Short-duration gamma-ray bursts (sGRBs) have long been proposed to be produced in systems involving the coalescence of double neutron stars (NS-NS), and the observations of sGRB afterglows and host g...
2022-05-27T02:51:02
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http://blog.shay.co/generating-random-sub-array/
Today I came across an algorithmic problem. I wanted to choose a random sub array of size $$k$$ from an array of size $$n$$, while maintaining its order. For example, if we have the array $$\{0,1,2,3,4,5,6,7,8,9\}$$ a possible result for $$k=4$$ is the array $$\{1,4,7,9\}$$. I came up with an algorithm with average ca...
2014-04-23T14:21:53
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https://www.physicsforums.com/threads/probability-questions-help-needed.76660/
# Probability Questions: help needed 1. May 23, 2005 ### DLxX Probability Questions: urgent help needed I am having a pretty hard time differentiating between the difference between these two things: Mutually Exclusive, and Independant. When do you know which formula to use? The same thing applies with *And* and ...
2017-06-25T15:58:01
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http://books.duhnnae.com/2017/jul7/150133846821-A-Bilinear-Estimate-for-Biharmonic-Functions-in-Lipschitz-Domains-Mathematics-Analysis-of-PDEs.php
A Bilinear Estimate for Biharmonic Functions in Lipschitz Domains - Mathematics > Analysis of PDEs Abstract: We show that a bilinear estimate for biharmonic functions in a Lipschitzdomain $\Omega$is equivalent to the solvability of the Dirichlet problem forthe biharmonic equationin $\Omega$. As a result, we prove that...
2017-09-24T01:41:57
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https://math.stackexchange.com/questions/653347/maximum-score-for-the-game
# Maximum score for the game Here is a game: There is a list of distinct numbers. At any round, a player arbitrarily chooses two numbers $a, b$ from the list and generates a new number $c$ by subtracting the smaller number from the larger one. The numbers $a$ and $b$ are put back in the list. If the number $c$ is non-...
2020-04-01T09:28:50
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https://tex.stackexchange.com/questions/228720/tikz-lining-up-input-and-output-nodes-in-multiple-input-multiple-output-diagram?noredirect=1
# Tikz: Lining up input and output nodes in multiple input multiple output diagram I am attempting to draw a multiple input multiple output style diagram, using code that uses the following structure: \documentclass{article} \usepackage{tikz} \usetikzlibrary{calc} \usetikzlibrary{positioning} \begin{document} \begi...
2019-12-15T08:37:01
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http://math.stackexchange.com/questions/1656778/triangle-angles
# Triangle angles. For $\vartriangle$ABC it is given that $$\frac1{b+c}+\frac1{a+c}=\frac3{a+b+c}$$ Find the measure of angle $C$. This is a "challenge problem" in my precalculus book that I was assigned. How do I find an angle from side lengths like this? I have tried everything I can. I think I may need to employ t...
2016-06-27T15:06:41
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https://ufn.ru/en/articles/2019/7/f/references.html
# ←→ Methodological notes # Nanosecond volume discharge in air initiated by a picosecond runaway electron beam a,  b a Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation b Institute of Electrophysics, Ural Branch of the Russian Academy of Sciences, ul. Amu...
2021-01-19T12:51:43
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https://en.m.wikipedia.org/wiki/Affine_Lie_algebra
# Affine Lie algebra In mathematics, an affine Lie algebra is an infinite-dimensional Lie algebra that is constructed in a canonical fashion out of a finite-dimensional simple Lie algebra. It is a Kac–Moody algebra for which the generalized Cartan matrix is positive semi-definite and has corank 1. From purely mathemat...
2020-07-13T21:50:43
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https://cms.math.ca/cjm/kw/f
location:  Publications → journals Search results Search: All articles in the CJM digital archive with keyword f Expand all        Collapse all Results 1 - 25 of 484 1. CJM Online first Benaych-Georges, Florent; Cébron, Guillaume; Rochet, Jean Fluctuation of matrix entries and application to outliers of elliptic ...
2017-11-18T10:03:34
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https://www.theoryofcomputing.org/articles/v002a006/
Volume 2 (2006) Article 6 pp. 121-135 Separation of Multilinear Circuit and Formula Size by Ran Raz Revised: March 4, 2006 Published: May 2, 2006 An arithmetic circuit or formula is multilinear if the polynomial computed at each of its wires is multilinear. We give an explicit polynomial $f(x_1,\dots,x_n)$ with coeffic...
2022-01-27T05:38:23
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http://mathhelpforum.com/trigonometry/58038-cosine-equation.html
1. ## cosine equation Right, im confused by this question... Find all the roots in the range -2π < x < 2π of the equation cos(2x) = 0.5 giving all the answers in radians as multiples of π. At first i thought it would be a (varying) cosine wave but how does that make sense, where is the 'y'? I thought by 'find the ro...
2016-12-06T14:31:03
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http://tilings.math.uni-bielefeld.de/substitution/ammann-a4/
## Ammann A4 ### Info One of the tilings discovered R. Ammann in 1977, when he found several sets of aperiodic prototiles, i.e., prototiles with matching rules forcing nonperiodic tilings. These were published much later, in 1987, in [GS87] , where they were named Ammann A2 (our Ammann Chair), Ammann A3, Ammann A4, a...
2018-07-22T04:39:19
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https://ai.stackexchange.com/questions/6540/why-do-we-need-a-model-of-the-environment-in-dyna
# Why do we need a model of the environment in Dyna? In chapter 8 of "Reinforcement Learning: An Introduction" by Sutton and Barto, it is stated that Dyna needs a model to simulate the environment. But why do we need a model? Why can't we just use the real environment itself? Wouldn't it be more helpful to use real e...
2020-05-30T19:31:56
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https://math.stackexchange.com/questions/2310338/how-does-jayness-principle-of-transformation-groups-work
# How does Jaynes's principle of transformation groups work? I'm reading Edwin Jaynes's paper, "Prior Probabilities": http://bayes.wustl.edu/etj/articles/prior.pdf and on page 17 he describes the principle of transformation groups, wherein he provides a method to derive objective prior distributions for different pa...
2019-10-13T22:50:48
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https://forum.azimuthproject.org/plugin/ViewComment/16758
Keith Peterson wrote: > This complement operation is left adjoint to what already defined operation? I'll sketch a strategy to define it in terms of a _right_ adjoint. We can think of "complement" in logical terms as "negation". To define "negation" in a fairly general poset, I might try to use a few facts: * The [...
2022-07-07T07:26:41
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https://ilyasergey.net/YSC2229/week-05-functors.html
# 5.1. Printing and Validating Generic Arrays¶ • File ArrayUtil.ml, search for Week 05 definitions The machinery to print whole arrays, as well as their sub-arrays has proven very useful in the previous examples. Let us now generalise it for the future use. The functor ArrayPrinter below takes a module parameter P w...
2021-09-18T16:49:20
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https://mathoverflow.net/questions/287695/0-1-matrix-combinatorial-problem
# 0-1 matrix combinatorial problem Let $M \in \{0,1\}^{n \times n}$ and let $r_i$ be its $i$-th row. Given constant $p \in (0,1/2]$, let the number of $1$s in each row be at least $p\,n$. Given constant $c \in (0,1)$, what is the maximum number $R_{max}$ of rows $r$ such that $$r\, r_i^{\top} \ge c\,n$$ holds for le...
2021-04-16T03:19:27
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https://kerodon.net/tag/02X9
# Kerodon $\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$ Proposition 7.1.6.1. Let $\operatorname{\mathcal{C}}$ be an $\infty$-category, let $B$ be a simplicial set, and let $f: K \rightarrow \operatorname{Fun}(B,\operatorname{\mathcal{C}})$ be a diagram. Assume that, for every vertex $b \in B$, the c...
2023-03-22T05:52:57
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https://publications.mfo.de/handle/mfo/197?show=full
dc.contributor.author Bondarenko, A. V. dc.contributor.author Hardin, Douglas P. dc.contributor.author Saff, Edward B. dc.date.accessioned 2016-09-22T10:46:38Z dc.date.available 2016-09-22T10:46:38Z dc.date.issued 2013-06-10 dc.identifier.uri http://publications.mfo.de/handle/mfo/197 dc.description OWLF 2013 en_US dc.d...
2021-04-18T09:26:16
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https://www.doubtnut.com/question-answer/find-7c4-642532950
# find 7C_4 Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams. Updated On: 12-4-2021 Apne doubts clear karein ab Whatsapp par bhi. Try it now. Get Answer to any question, just click a photo and upload the photo and get the answer completely free, Watch 1000+ concept...
2022-01-25T23:57:43
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https://questions.examside.com/past-years/jee/question/pnearly-10-of-the-power-of-a-110-mathrmw-light-bu-jee-main-physics-motion-1z0zd5uakunvazoz
1 JEE Main 2022 (Online) 29th July Evening Shift Numerical +4 -1 Nearly 10% of the power of a $$110 \mathrm{~W}$$ light bulb is converted to visible radiation. The change in average intensities of visible radiation, at a distance of $$1 \mathrm{~m}$$ from the bulb to a distance of $$5 \mathrm{~m}$$ is $$a \times 10^{-...
2023-03-20T23:15:26
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http://openstudy.com/updates/50719ba6e4b060a361001541
## anonymous 3 years ago find the laplace transform of sin2tcos2t? • This Question is Open 1. ksaimouli u mean derivative 2. anonymous no it is the laplace transform. 3. anonymous master level math 4. anonymous university 5. AccessDenied I am not particularly familiar with Laplace Transforms, but I am curious...
2016-09-26T21:03:47
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https://ncatlab.org/nlab/show/trivial%20subalgebra
nLab trivial subalgebra The trivial subalgebra of an algebra $A$ is the smallest subalgebra? of $A$, the intersection of all subalgebras of $A$ (assuming that this is a subalgebra, otherwise there is no trivial subalgebra). In the context of universal algebra, this is the empty subalgebra —the empty subset of the unde...
2021-10-24T13:05:07
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https://www.icmsquare.net/index.php/program/submissions
## Conference submissions #### Exploring the exact differential equations with GeoGebra software Jorge Olivares Funes1 , Elvis Valero2 1University of Antofagasta, Department of Mathematics, Chile ###### Abstract In this paper, we will show the solutions of certain exact differential equations that are obtained thr...
2020-05-25T18:34:08
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https://koreascience.or.kr/article/JAKO201913457809092.page
# FINITE DIFFERENCE METHOD FOR THE TWO-DIMENSIONAL BLACK-SCHOLES EQUATION WITH A HYBRID BOUNDARY CONDITION • HEO, YOUNGJIN (DEPARTMENT OF MATHEMATICS, KOREA UNIVERSITY) ; • HAN, HYUNSOO (DEPARTMENT OF FINANCIAL ENGINEERING, KOREA UNIVERSITY) ; • JANG, HANBYEOL (DEPARTMENT OF FINANCIAL ENGINEERING, KOREA UNIVERSITY) ; ...
2021-05-14T13:22:10
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https://www.zbmath.org/?q=an%3A1345.35052
# zbMATH — the first resource for mathematics Dynamics of nonnegative solutions of one-dimensional reaction-diffusion equations with localized initial data. Part I: A general quasiconvergence theorem and its consequences. (English) Zbl 1345.35052 Summary: We consider the Cauchy problem $u_1 = u_{xx} + f(u), \;x\in \ma...
2021-07-29T05:23:51
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http://openstudy.com/updates/55c6c127e4b0f6bb86c42eb9
## anonymous one year ago polluted water flows into a pond. the concentration of pollutant,c, in the pond at time,t, minutes is modeled by the equation c(t)=9-90000(1/10000+3t). where c is measured in kilograms per cubic metre. a) when will the concentration of pollutant in the pond reach 6 kg/m^3 b) what will happen t...
2016-10-21T11:31:08
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https://www.physicsforums.com/threads/vectors-dot-product.718003/
# Vectors Dot Product 1. Oct 21, 2013 ### Justabeginner 1. The problem statement, all variables and given/known data Prove that if u and v are nonzero vectors, and theta is the angle between them then u dot product v = ||u|| ||v|| cos (theta). Consider the triangle with sides u ,v , and u-v. The Law of Cosines impli...
2017-08-16T13:59:23
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http://math.stackexchange.com/questions/247971/a-question-related-to-distribution-of-a-sum-of-random-variables/247983
# a question related to distribution of a sum of random variables Under the snapshot below, how does A transform into B? Also, please dwell on the relocation of "z" from A to B. I know it's a newbie question for many of you, so any help would be highly appreciated. Thank you. \begin{align*} F_{X+Y}(z)&=\Bbb P[X+Y\le...
2014-07-26T09:51:24
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https://www.tutorialspoint.com/big-oh-notation-o
# Big Oh Notation (O) Analysis of AlgorithmsAlgorithmsData Structure ## Asymptotic Notations Asymptotic notations are used to represent the complexities of algorithms for asymptotic analysis. These notations are mathematical tools to represent the complexities. There are three notations that are commonly used. ## B...
2021-11-27T06:15:53
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https://math.stackexchange.com/questions/633592/the-singular-homology-and-cohomology-of-a-topological-space-with-coefficients-in
# The singular homology and cohomology of a topological space with coefficients in a zero characteristic field. I have a field with zero characteristic, like $K=\mathbb{C},\mathbb{R}$ and I want to show that the homology groups and cohomology groups with coefficients in these fields satisfy: $$H_n(X,K) \approx H_n(X)...
2020-04-07T08:11:04
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https://ftp.aimsciences.org/article/doi/10.3934/nhm.2010.5.385
Article Contents Article Contents # Small solids in an inviscid fluid • We present in this paper several results concerning a simple model of interaction between an inviscid fluid, modeled by the Burgers equation, and a particle, assumed to be point-wise. It is composed by a first-order partial differential equation ...
2023-04-01T20:07:44
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https://matheuscmss.wordpress.com/2016/11/28/mesures-stationnaires-absolument-continues/
Posted by: matheuscmss | November 28, 2016 ## “Mesures stationnaires absolument continues” About 3+1/2 weeks ago, Jean-François Quint gave a very nice talk (with same title as this post) during Paris 6 and 7 “Journées de dynamique” about his joint work with Yves Benoist on the regularity properties of stationary meas...
2018-10-15T22:39:00
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https://alessandromastrofini.it/en/2022/04/17/identification-rlc-respiratory/
A linear model of lung mechanics is analyzed in the following report. The model corresponds to an RLC circuit with unknown parameters. Parametric identification allows to trace the system governance coefficients once a mathematical model has been estimated. Different approaches allow to minimize the difference between ...
2022-08-10T02:49:44
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https://forum.effectivealtruism.org/posts/N4HnkJSaD98DnD4kK/interpreting-the-systemistas-randomistas-debate-on
# 27 ## Introduction There has been a debate on development strategy emerging between development economists[1][2]. While one portion of development economists perform RCTs (Radomistas) another portion work on systemic changes (Systemistas, as I would like to label them) and the ongoing debate between them is on whic...
2023-02-07T15:20:08
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https://physics.stackexchange.com/questions/203463/on-resonance-of-an-rlc-circuit
# On resonance of an RLC circuit How do I prove that the width of resonance in an RLC circuit is the inverse of the proper time of the circuit? I know that the amplitude of charge in the condensator is $$Q(\omega)=\frac{V_\text{max}/L}{\sqrt{(\omega_0^2-\omega^2)^2+(\gamma\omega)^2}}$$ So I tried to show from the equ...
2019-08-24T05:51:49
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https://www.cnblogs.com/lyzuikeai/p/7656974.html
# bzoj 1635: [Usaco2007 Jan]Tallest Cow 最高的牛——差分 ## Description FJ's N (1 <= N <= 10,000) cows conveniently indexed 1..N are standing in a line. Each cow has a positive integer height (which is a bit of secret). You are told only the height H (1 <= H <= 1,000,000) of the tallest cow along with the index I of that cow...
2021-06-15T16:12:05
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https://www.cheenta.com/coefficients-of-polynomial-tomato-subjective-69/
• No products in the cart. # Coefficients of Polynomial (Tomato subjective 69) Problem: Suppose that the three equations $${\displaystyle{ax^2}}$$ – $${\displaystyle {2bx + c = 0}}$$ , $${\displaystyle{bx^2}}$$ – $${\displaystyle {2cx + a = 0}}$$ and $${\displaystyle{cx^2}}$$ – $${\displaystyle {2ax + b = 0}}$$ all h...
2018-02-18T18:20:13
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https://www.hackmath.net/en/math-problem/6753
# Cube walls Find the volume and the surface area of the cube if the area of one of its walls is 40 cm2. Result V =  252.982 cm3 S =  240 cm2 #### Solution: $S_{1}=40 \ \text{cm}^2 \ \\ a=\sqrt{ S_{1} }=\sqrt{ 40 } \doteq 2 \ \sqrt{ 10 } \ \text{cm} \doteq 6.3246 \ \text{cm} \ \\ \ \\ V=a^3=6.3246^3 \doteq 80 \ \s...
2020-03-31T10:17:14
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https://www.dfnu.xyz/en/exercises-and-dialogues/breaking-the-harmony/
I found this curious exercise on the book Problems and Theorems in Analysis I, by Pólya and Szegö, and I thought it was a nice problem to propose here, since its solution requires only basic combinatorial concepts. Consider the harmonic series $\sum_{k=1}^{+\infty} \frac{1}{k},$ which is known to diverge. Show that re...
2020-06-04T05:51:15
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https://www.physicsforums.com/threads/trouble-understanding-this-hw-problem.82687/
# Trouble understanding this hw problem 1. Jul 19, 2005 ### huk An electron is moving in a plane that also contains a long straight current-carrying wire. The electron is heading at a 45° angle toward the wire, with a speed of 3.8 106 m/s, when it is 43 cm away. The electron reaches only as close as 1 cm, before bei...
2016-10-25T10:30:51
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https://bambinos.github.io/bambi/0.1.5/notebooks/ESCS_multiple_regression.html
# Bayesian Multiple Regression Example# [ ]: # Author: jake-westfall # Created At: Aug 29, 2016 # Last Run: Mar 27, 2019 [1]: import bambi as bmb import pandas as pd import numpy as np import statsmodels.api as sm import pymc3 as pm import seaborn as sns ## Load and examine Eugene-Springfield community sample dat...
2022-08-12T03:37:44
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https://benwhalley.github.io/just-enough-r/icc-and-vpc.html
## Variance partition coefficients and intraclass correlations The purpose of multilevel models is to partition variance in the outcome between the different groupings in the data. For example, if we make multiple observations on individual participants we partition outcome variance between individuals, and the resid...
2022-05-25T10:06:27
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http://www.lmfdb.org/NumberField/?degree=5
# Learn more about ## Results (displaying matches 1-50 of 1323696) Next Label Polynomial Discriminant Galois group Class group 5.1.1609.1 x5 - x3 - x2 + x + 1 $$1609$$ $S_5$ (as 5T5) Trivial 5.1.1649.1 x5 - x4 + x2 - x + 1 $$17\cdot 97$$ $S_5$ (as 5T5) Trivial 5.1.1777.1 x5 - x4 + x3 - 2x2 + x - 1 $$1777$$ $S_5$ (as ...
2020-09-27T10:32:43
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https://chemistry.stackexchange.com/questions/68869/relation-between-activation-energy-and-temperature-sensitivity/68878
# Relation between activation energy and temperature sensitivity In my reaction engineering textbook (Levenspiel), it is stated that reactions with high activation energies are very temperature sensitive, while reactions with low activation energies are relatively temperature-insensitive. This principle was then appli...
2020-04-08T01:32:17
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https://math.stackexchange.com/questions/1479956/minimum-number-of-points-needed-to-define-a-unique-2-degree-curve
# minimum number of points needed to define a unique 2 degree curve as the title says to find minimum number of points needed to define a unique 2 degree. i did it by thinking that in general equation of 2 degree $Ax^2 + By^2 + 2Gx + 2Fy + 2Hxy + C$ there are 6 variables and there so minimum 6 points are needed to def...
2021-05-18T12:21:58
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https://web2.0calc.com/questions/circles_70
+0 # Circles 0 86 4 In the diagram, each of the three identical circles touch the other two. The circumference of each circle is 36. What is the area of the shaded region? Apr 21, 2021 #1 +544 +2 https://gyazo.com/0bb2e632441b774f3d412d086fa55957 I made an equilateral triangle using the centers of the triangle. ...
2021-08-05T15:31:58
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https://www.ora.ox.ac.uk/objects/uuid:5f69e996-3f8e-4bfa-891f-0e1ec8d0f9fb
Thesis ### Graphical Gaussian models with symmetries Abstract: This thesis is concerned with graphical Gaussian models with equality constraints on the concentration or partial correlation matrix introduced by Højsgaard and Lauritzen (2008) as RCON and RCOR models. The models can be represented by vertex and edge co...
2022-08-11T12:07:51
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https://physics.stackexchange.com/questions/610251/do-negative-energies-exist-in-the-standard-model
# Do negative energies exist in the Standard Model? As far as I understand, the Hamiltonian of QED and QCD are positive definite. The QED Hamiltonian in Coulomb Gauge is given by the following (credits David Tong QFT Notes): $$H=\int d^{3} x\left[\frac{1}{2} \vec{A}^{2}+\frac{1}{2} \vec{B}^{2}+\bar{\psi}\left(-i \gam...
2023-02-05T13:21:26
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https://bigideasmathanswer.com/big-ideas-math-geometry-answers-chapter-1/
# Big Ideas Math Geometry Answers Chapter 1 Basics of Geometry Looking across the web for a friendly site that caters to all your needs regarding the Big Ideas Math Geometry Concepts? Don’t worry we are with you in this and we will provide you the Complete Big Ideas Math Geometry Answers Chapter 1 Basics of Geometry. ...
2021-08-02T06:54:05
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https://math.stackexchange.com/questions/2682563/definition-of-finite-elements-ciarlet?noredirect=1
# Definition of finite elements (Ciarlet) I dont understand this definition of finite elements: The triple $(K,P,\Sigma)$ with • $K \subset \mathbb{R}^n$ connected lipschitz domain with non-empty interior • $P$ finite dimensional vector space of functions $p:K\rightarrow \mathbb{R}$ • $\Sigma = \{\sigma_1,...,\sig...
2019-04-22T02:53:05
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http://ask.sagemath.org/questions/7975/revisions/
# Revision history [back] ### substituting expressions for numbers Say you have some formula in the form of an expression: sage: x,y,a,b = var("x y a b") sage: f = 10*x+2*y sage: type(f) <type 'sage.symbolic.expression.Expression'> Now I want to replace the 10 by the variable a. What's the easiest way to do this? ...
2021-04-13T20:57:56
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http://math.stackexchange.com/questions/283317/eigenvector-and-its-corresponding-eigenvalue
# Eigenvector and its corresponding eigenvalue For the following square matrix: $$\left( \begin{array}{ccc} 3 & 0 & 1 \\ -4 & 1 & 2 \\ -6 & 0 & -2 \end{array} \right)$$ Decide which, if any, of the following vectors are eigenvectors of that matrix and give the corresponding eigenvalue. $\left( \begin{array}{ccc} 2 ...
2014-03-12T14:22:31
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https://phys.libretexts.org/Courses/College_of_the_Canyons/Physci_101_Lab%3A_Physical_Science_Laboratory_Investigations_(Ciardi)/20%3A_Investigation_19_-The_Swing/20.2%3A_Introduction
# 20.2: Introduction A swing at the park is an example of a pendulum.  The period of a swing, or pendulum, is the time required for the pendulum to circle back to its beginning point, after traveling outward (i.e., from A to B back to A). Conservation of energy maintains the motion of the pendulum, as Gravitational ...
2022-12-09T23:51:58
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https://socratic.org/questions/how-do-you-simplify-7-8-div-3-4
# How do you simplify 7/8 div 3/4? Aug 24, 2016 $\frac{7}{6}$ #### Explanation: To make the division into a multiplication question, which are the easiest to solve, all you do is flip the right-hand fraction upside down and change the divide to a multiply. So it becomes: $\frac{7}{8} \times \frac{4}{3}$ Cancel th...
2020-01-17T14:24:59
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https://www.varsitytutors.com/precalculus-help/trigonometric-functions/fundamental-trigonometric-identities?page=6
# Precalculus : Fundamental Trigonometric Identities ## Example Questions ### Example Question #51 : Fundamental Trigonometric Identities Evaluate the following. Possible Answers: Correct answer: Explanation: Here we use the double angle identity for sine, which is We can rewrite the originial expression as  us...
2021-04-11T18:52:50
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https://prancer.physics.louisville.edu/modules/random_walks/index.html
Physics & Astronomy Modules Random Walks Imagine you stand on the pavement on your street, flip a coin and take a step left for heads or a step right for tails. Then repeat. Your movement might look something like the red circle above, which is moving according to electronic coin flips made by your computer. We call...
2021-10-26T20:22:26
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https://puzzling.stackexchange.com/questions/25960/happy-days-alphametic/26343
# Happy days alphametic Every letter a decimal digit, different letters for different digits: HAPPY HAPPY HAPPY + DAYS ---------- Which digit does each letter represent? (Please present the full analysis how these digits can be determined.) Denote $C_i$ the carry over from the sum of the digits in column $i$ a...
2019-12-08T19:16:25
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https://nickcdryan.com/2017/09/16/broydens-method-in-python/?replytocom=53
# Broyden’s Method in Python In a previous post we looked at root-finding methods for single variable equations. In this post we’ll look at the expansion of Quasi-Newton methods to the multivariable case and look at one of the more widely-used algorithms today: Broyden’s Method. Broyden’s Good Method Broyeden’s Meth...
2020-10-30T09:45:19
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http://tex.stackexchange.com/questions/86812/declaring-a-newcommand-for-a-single-letter-in-mathcal
# Declaring a newcommand for a single letter in mathcal I am trying to enter a command that references the \mathcal font for single letter in LaTeX. Below is what I am trying and it doesn't seem to work, would appreciate any help. \newcommand {\until} {\mathcal {u} } I believe by doing this, when I type \until it ...
2013-12-22T10:07:34
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https://www.pims.math.ca/scientific-event/131119-dmsac
## Discrete Math Seminar: Ameera Chowdhury • Date: 11/19/2013 • Time: 14:30 Lecturer(s): Ameera Chowdhury Location: Simon Fraser University Topic: A Proof of the Manickam-Miklos-Singhi Conjecture for Vector Spaces Description: Let V be an n-dimensional vector space over a finite field. Assign a real-valued weigh...
2023-02-02T17:38:35
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https://physics.stackexchange.com/questions/438122/angular-momentum-velocity-and-center-of-mass/480225
# Angular momentum, velocity and center of mass I have a small question. Suppose I hold a given stick A of mass $$m_A$$ with attached a weight B with mass $$m_B$$ attached to it and that I start rotating it, eventually releasing it. The general movement should be similar to an axe throw, with centre of mass roughly ...
2020-02-27T02:45:40
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https://www.toppr.com/guides/physics/current-eletricity/drift-electrons-origin-resistivity/
> > Drift of Electrons and the Origin of Resistivity # Drift of Electrons and the Origin of Resistivity What is resistance? The property of the material to oppose the electric current is known as resistivity. It is inversely proportional to the drift of electrons. To more about drift of electrons and resistivity, let...
2020-04-04T15:08:30
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https://computergraphics.stackexchange.com/questions/2219/maximum-number-of-vertices-after-clipping-a-triangle-against-an-aabb
# Maximum number of vertices after clipping a triangle against an AABB I clip a 3D triangle against a 3D Axis-Aligned Bounding Box (AABB) to obtain the largest planar polygon of the triangle contained in the AABB. My clipping algorithm is a (slightly modified) version of the robust (e.g. clipping planes have a small f...
2019-06-16T15:40:51
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https://socratic.org/questions/a-particle-located-in-one-dimensional-potential-field-has-potential-energy-funct
# A particle located in one dimensional potential field has potential energy function U(x) = a/x^2 - b/x^3 where a and b are positive constants. The position of equilibrium corresponds to x =? ## (1) $\frac{3 a}{b}$ (2) $\frac{2 b}{3 a}$ (3) $\frac{2 a}{3 b}$ (4) $\frac{3 b}{2 a}$ Sep 7, 2017 (4) $x = \frac{3 b}{2 a...
2019-12-14T06:37:37
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https://www.physicsforums.com/threads/linear-algebra-help.348390/
Linear algebra help 1. Oct 23, 2009 esler21 Is L:R^2 - ->R^2 defined by L(x,y) = (x-1,y-x) a linear transformation? Explain why or why not. 2. Relevant equations 3. The attempt at a solution 2. Oct 23, 2009 Delphi51 esler, I suggest you take this one over to the math section of the forum. 3. Oct 23, 2009 VeeE...
2017-12-15T14:38:59
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https://ns50.academickids.com/encyclopedia/index.php/System_of_linear_equations
# System of linear equations In mathematics and linear algebra, a system of linear equations is a set of linear equations such as 3x1 + 2x2x3 = 1 2x1 − 2x2 + 4x3 = −2 x1 + ½x2x3 = 0. The problem is to find those values for the unknowns x1, x2 and x3 which satisfy all three equations simultaneously. Systems of linea...
2022-08-19T04:38:24
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http://math.stackexchange.com/questions/530878/how-to-solve-lim-x-to-0-frac-sqrtx24x5-sqrt5x/530889
# How to solve $\lim_{x\to 0}\frac{\sqrt{x^2+4x+5}-\sqrt{5}}{x}$? How to solve the following question? \begin{eqnarray} \\\lim_{x\to 0}f(x)&=&\lim_{x\to 0}\frac{\sqrt{x^2+4x+5}-\sqrt{5}}{x}\\ \\&=&\lim_{x\to 0}\frac{\sqrt{\frac{x^2+4x+5}{x^2}}-\sqrt{\frac{5}{x^2}}}{1}\\ \\&=&\frac{\sqrt{\lim_{x\to 0}(1+\frac{4}{x}+\f...
2015-04-19T09:29:13
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https://www.freecodecamp.org/news/natural-number-definition/
A natural number is a positive whole number. Natural numbers are sometimes called positive or non-negative integers. For example, 3, 16, 512, and 1,382,437 are all considered natural numbers. -2, 4.25, and 18,512.5 are not. The number zero may or may not be considered a natural number, depending on the definition of...
2022-05-16T11:56:17
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https://www.theoryofcomputing.org/articles/v011a011/
Volume 11 (2015) Article 11 pp. 285-298 New Lower Bounds for the Border Rank of Matrix Multiplication $\newcommand\nnn{\mathbf{n}}$ The border rank of the matrix multiplication operator for $\nnn\times \nnn$ matrices is a standard measure of its complexity. Using techniques from algebraic geometry and representation th...
2022-07-05T21:53:24
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https://docs.mdanalysis.org/2.2.0/documentation_pages/analysis/bat.html
# 4.2.7. Bond-Angle-Torsion coordinates analysis — MDAnalysis.analysis.bat Author Soohaeng Yoo Willow and David Minh Year 2020 GNU Public License, v2 or any higher version New in version 2.0.0. This module contains classes for interconverting between Cartesian and an internal coordinate system, Bond-Angle-Torsi...
2022-10-01T01:33:48
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https://mathematica.stackexchange.com/questions/190948/how-to-plot-solve-function
How to Plot solve function So I have Emin[T_, d_] := If[T == 0, 0, 1/(-1 + E^(1/T)) - d/(-1 + E^(d/T))]; which I can solve wonderfully for Solve[Emin[T, 10] == 0.5, T, Reals] {{T -> 0.910427}} Now as you see Emin[T_, d_] is also dependent on d which I set to d=10 in the second line. All I'd like is to now Plot...
2019-02-20T14:36:27
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http://spmmathematics.onlinetuition.com.my/2014/12/intersection-of-sets.html
# 3.3a Intersection of Sets 3.3a Intersection of Sets 1. The intersection of set P and set Q, denoted by $P\cap Q$ is the set consisting of all elements common to set P and set Q. 2. The intersection of set P, set Q and set R, denoted by $P\cap Q\cap R$ is the set consisting of all elements common to set P, set Q and...
2017-06-28T14:09:07
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http://www.cut-the-knot.org/triangle/SpiekerViaBrocard.shtml
An Inequality for the Cevians through Spieker Point via Brocard Angle Solution 1 The Spieker point can be characterized in several ways. One of these is as a point where the three triangle's cleavers intersect. Thus, in particular, $AB+BA'=AC+CA'=\displaystyle\frac{a+b+c}{2}=s,$ i.e., $BA'=\displaystyle\frac{a+b-c}...
2017-08-21T10:21:42
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https://math.stackexchange.com/questions/2858882/what-are-the-facets-of-the-birkhoff-polytope-when-n-2
# What are the facets of the Birkhoff Polytope when $n=2$? I've read in several sources that the number of facets of the Birkhoff polytope $\mathcal{B}(n)$ is $n^2$. Is this supposed to hold when $n=2$? Since $\mathcal{B}(2)$ has dimension $1$, the facets would be the two $0$-dimensional vertices, which are the two p...
2020-02-25T01:43:56
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https://ibpsonline.in/questions/IBPS-PO/Reasoning-Ability/Test-101/1304
# IBPS PO :: Reasoning Ability :: Test 101 ## Home IBPS PO / Reasoning Ability Test 101 Questions and Answers 1 . In the given questions, assuming the given statements to be true, find out which of the given four conclusions numbered I, II, III and IV is/are definitely true and give your answer accordingly. $Stateme...
2019-06-20T23:04:24
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https://blog.luojinyao.top/post/47b1bd01.html
## Description The art galleries of the new and very futuristic building of the Center for Balkan Cooperation have the form of polygons (not necessarily convex). When a big exhibition is organized, watching over all of the pictures is a big security concern. Your task is that for a given gallery to write a program whi...
2019-10-22T14:27:31
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http://math.stackexchange.com/questions/22881/why-uv-crossu-v-dotu-v-at-quaternions
# Why u*v = cross(u,v)-dot(u,v) at quaternions? Why is it that for quaternions, $u*v = \mathrm{cross}(u,v)-\mathrm{dot}(u,v)$? I wonder for what reason they are equal to each others. - @Jason: Here $u$ and $v$ are pure quaternions, which we identify with $\mathbb R^3$ and the scalar part of a quaternion we identify ...
2016-06-30T19:39:28
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https://radar.inria.fr/report/2012/mctao/uid30.html
EN FR • Legal notice • Accessibility - non conforme ## Section: Application Domains ### Quantum Control The activity of B. Bonnard in quantum control started as a collaboration with D. Sugny (a physicist from ICB) in the ANR project Comoc, localized mainly at the University of Dijon; the problem was the control of t...
2023-03-23T14:03:35
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http://linuxprofilm.com/standard-error/how-to-calculate-standard-error-in-excel.html
Home > Standard Error > How To Calculate Standard Error In Excel How To Calculate Standard Error In Excel Contents Search this site: Leave this field blank: . How to create a macro for a new numbered environment, with "spread" text? Flag as... Edwards Deming. http://linuxprofilm.com/standard-error/how-to-calculate-s...
2017-09-21T19:17:57
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https://davidthemathstutor.com.au/2018/10/01/probability-part-2/
# Probability, Part 2 So we are discussing probability and so far, I’ve just used some simple examples where I used the rule: Probability = $\frac{{\mathrm{Number}}\hspace{0.33em}{\mathrm{of}}\hspace{0.33em}{\mathrm{favorable}}\hspace{0.33em}{\mathrm{outcomes}}}{{\mathrm{Total}}\hspace{0.33em}{\mathrm{number}}\hspace...
2021-07-30T07:41:56
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https://iitutor.com/category/differentiation/
# Maxima and Minima with Trigonometric Functions Periodic motions can be modelled by a trigonometric equation. By differentiating these functions we are then able to solve problems relating to maxima (maximums) and minima (minimums). Remember that the following steps are used when solving a maximum or minimum problem....
2020-02-20T14:18:10
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http://www.insight-things.com/tag/mathematical-statistics/
An often forgotten formula for the mean of a random variable $X$ is given by: $\displaystyle \mu=E(X)=\sum_{x=0}^{\infty} \Big(1-F(x)\Big)$ And for the continous case: $\displaystyle \mu=E(X)=\int_{x=0}^{\infty} \Big(1-F(x)\Big)$ This blog post is going to illustrate how these formulas arise. more →
2023-04-01T20:46:34
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http://mathoverflow.net/feeds/question/84881
Wiener Tauberian Theorem for nonunimodular group - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T09:22:50Z http://mathoverflow.net/feeds/question/84881 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/84881/wiener-tauberian-theorem-for-nonunimodular-group Wie...
2013-05-22T09:22:59
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https://infoscience.epfl.ch/record/201157
Infoscience Journal article Sharp estimates on the first eigenvalue of the p-Laplacian with negative Ricci lower bound We complete the picture of sharp eigenvalue estimates for the -Laplacian on a compact manifold by providing sharp estimates on the first nonzero eigenvalue of the nonlinear operator when the Ricci c...
2017-05-01T02:27:46
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https://learn.careers360.com/ncert/question-the-value-of-the-expression-sin-80-cos80-is-negative/
#### The value of the expression (sin 80° – cos80°) is negative. Solution.     (sin 80° – cos 80°) We know that from 0 to 90° sin$\theta$  and cos$\theta$  both are positive i.e. $0< \sin \theta \leq 90^{\circ}$  (always positive) $0< \cos \theta \leq 90^{\circ}$ (always positive) At 45° both the values of sin$\theta$...
2023-01-29T15:48:09
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https://works.bepress.com/bruce_kessler/5/
Article Orthogonal Macroelement Scaling Vectors and Wavelets in 1-D The Arabian Journal for Science and Engineering: Special Issue on Fractals and Wavelets • , Vanderbilt University • , Western Kentucky University Publication Date 6-2-2003 We develop a {\em macroelement} based technique for constructing orthogonal univ...
2019-05-24T05:08:26
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https://www.esaral.com/q/a-helicopter-of-mass-1000-kg-rises-with-a-vertical-acceleration/
A helicopter of mass 1000 kg rises with a vertical acceleration Question. A helicopter of mass $1000 \mathrm{~kg}$ rises with a vertical acceleration of $15 \mathrm{~m} \mathrm{~s}^{-2}$. The crew and the passengers weigh $300 \mathrm{~kg}$. Give the magnitude and direction of the (a) force on the floor by the crew an...
2022-12-08T06:15:16
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