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https://webwork.maa.org/moodle/mod/forum/discuss.php?d=3641
## PREP 2015 Question Authoring - Archived ### Showing Trig Functions in the Answer by Daniele Arcara - Number of replies: 2 I was working on a homework problem, and I ran into a problem when using trig functions. Let's say that I have the function f(x)=sin(2x), and I pick a random point x=a. Then, I ask them to comp...
2023-03-20T11:56:29
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https://livrepository.liverpool.ac.uk/3023723/
Maximum Rooted Connected Expansion Lamprou, Ioannis ORCID: 0000-0001-5337-7336, Martin, Russell ORCID: 0000-0002-7043-503X, Schewe, Sven ORCID: 0000-0002-9093-9518, Sigalas, Ioannis and Zissimopoulos, Vassilis (2018) Maximum Rooted Connected Expansion. Prefetching constitutes a valuable tool toward efficient Web surf...
2022-10-05T19:51:30
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http://cvgmt.sns.it/paper/4778/
# Smoothness of collapsed regions in a capillarity model for soap films created by maggi on 29 Jul 2020 [BibTeX] preprint Inserted: 29 jul 2020 Last Updated: 29 jul 2020 Year: 2020 Abstract: We study generalized minimizers in the soap film capillarity model introduced in arXiv:1807.05200 and arXiv:1907.00551. Co...
2020-08-05T08:48:50
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https://www.physicsforums.com/threads/example-from-bland-right-artinian-but-not-left-artinian.891162/
# I Example from Bland - Right Artinian but not Left Artinian .. 1. Oct 28, 2016 ### Math Amateur I am reading Paul E. Bland's book, "Rings and Their Modules". I am focused on Section 4.2: Noetherian and Artinian Modules and need some help to fully understand Example 6 on page 109 ... ... In the above example Blan...
2017-10-17T04:20:31
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http://mooseframework.org/wiki/PhysicsModules/PhaseField/PhaseFieldFaq/
## What is the relationship between interface width and mesh/grid spacing in phase-field models? (back to top) It is important to understand the difference between interface width and grid spacing in phase-field models. The interface width is a function of model parameters that enter the governing equations, and is no...
2017-11-18T04:52:15
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https://dec41.user.srcf.net/bott
Bott Periodicity Seminar The seminar is going to be on Bott periodicity. After the introductory meeting, a speaker will present a proof of the Bott periodicity theorem every week. Tentative meeting location and times are as follows: • Location: SC 232 • Day/Time: Thursday 5:15pm to 6:15pm The first meeting will be on...
2022-11-26T18:31:01
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https://pos.sissa.it/398/364/
Volume 398 - The European Physical Society Conference on High Energy Physics (EPS-HEP2021) - T06: QCD and Hadronic Physics Measurement of the primary Lund jet plane density in pp collisions at $\sqrt{s} = \rm{13}$ TeV with ALICE L.B. Havener Full text: pdf Pre-published on: January 17, 2022 Published on: Abstract Preci...
2022-01-22T08:32:33
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https://math.stackexchange.com/questions/3835672/prove-whether-functions-are-injective-surjective-or-bijective
# prove whether functions are injective, surjective or bijective Hello, I have a few questions regarding the above mentioned task. One has to show whether or not these functions are injective, surjective or bijective. This seems straightforward for most of these functions: (1) Not injective since some values are hi...
2021-03-08T10:09:22
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https://help.altair.com/ss/en_us/topics/simsolid/analysis/modal_prestress_r.htm
# Modal Prestressed Prestressed eigenvalue analysis is governed by:(1) $\left(\overline{\text{K}}\text{\hspace{0.17em}}\text{+}\text{\hspace{0.17em}}\text{λM}\right)\text{A}\text{\hspace{0.17em}}\text{=}\text{\hspace{0.17em}}\text{0}$ Where, $\overline{\text{K}}$ Prestress stiffness matrix $\text{M}$ Mass matrix $\tex...
2023-03-27T23:53:29
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http://en.wikiversity.org/wiki/Introduction_to_Elasticity/Concentrated_force_on_half_plane
# Introduction to Elasticity/Concentrated force on half plane ## Concentrated Force on a Half-Plane Concentrated force on a half plane From the Flamant Solution \begin{align} F_1 + 2\int_{\alpha}^{\beta} \left(\frac{C_1\cos\theta - C_3\sin\theta}{a}\right)a\cos\theta d\theta & = 0 \\ F_2 + 2\int_{\alpha}^{\beta} \...
2013-06-19T18:52:50
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https://infoscience.epfl.ch/record/129222
## The maximum number of times the same distance can occur among the vertices of a convex $n$-gon is O($n\log n$) Published in: Journal of Combinatorial Theory, Series A, 94, 1, 178-179 Year: 2001 Keywords: Note: Professor Pach's number: [153] Laboratories:
2018-05-22T11:51:13
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https://it.wenda123.org/question/csstack/135590/how-to-show-independence-and-uniform-distribution-of-hash-codes-from-k-wise-inde
# 如何展示从k-wise独立哈希函数的哈希代码的独立和统一分发? -- probability-theory 领域 和 hash 领域 cs 相关 的问题 ## How to show independence and uniform distribution of hash codes from k-wise independent hash functions? 1 ### 问题 $$k$$哈希函数的独立族族的定义,我遇到了一个romial $$h$$$$d$$$$r$$是k-wise独立的对于所有Distinct $$X_1,X_2, Dots,X_K In D$$$$Y_1,Y_2, Dots,Y_K 在r$$ ...
2021-11-28T09:05:24
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https://www.studysmarter.us/textbooks/physics/fundamentals-of-physics-10th-edition/more-about-matter-waves/q28p-a-cubical-box-of-widths-contains-an-electron-what-multi/
Suggested languages for you: Americas Europe Q28P Expert-verified Found in: Page 1216 ### Fundamentals Of Physics Book edition 10th Edition Author(s) David Halliday Pages 1328 pages ISBN 9781118230718 # A cubical box of widths ${{\mathbf{L}}}_{{\mathbf{x}}}{\mathbf{=}}{{\mathbf{L}}}_{{\mathbf{y}}}{\mathbf{=}}{{\...
2023-03-30T08:41:57
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http://pages.tacc.utexas.edu/~eijkhout/istc/html/sequential.html
# Single-processor Computing 1.2 : Modern processors 1.2.1 : The processing cores 1.2.1.1 : Instruction handling 1.2.1.2 : Floating point units 1.2.1.3 : Pipelining 1.2.1.4 : Peak performance 1.2.2 : 8-bit, 16-bit, 32-bit, 64-bit 1.2.3 : Caches: on-chip memory 1.2.4 : Graphics, controllers, special purpose hardware 1....
2019-06-27T06:13:29
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https://math.stackexchange.com/questions/2701711/proving-that-a-space-of-compactly-supported-functions-forms-a-topological-vector
# Proving that a space of compactly supported functions forms a topological vector space Let $\mathcal{D}_K$ be the space of all on $K\subseteq \mathbb{R}$ compactly supported, infinitely differentiable functions. I have shown for $N \in \mathbb{N}$, $\epsilon > 0$ and $U_{N,\epsilon} := \{f \in \mathcal{D}_K: \max_{...
2021-06-14T22:15:57
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http://mathematica.stackexchange.com/questions/28149/implementing-hexagon-binning-in-mathematica/28157
# Implementing hexagon binning in mathematica Hexagon bin plots are a useful way of visualising large datasets of bivariate data. Here are a few examples: With bin frequency indicated by grey level... ..and by glyph size There are packages for creating this kind of plot in both "R" and Python. Obviously, the idea i...
2016-02-09T20:39:50
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https://socratic.org/questions/how-do-you-simplify-root4-5-4root4-27
# How do you simplify (root4(5))/(4root4(27))? Dec 19, 2016 $\frac{\sqrt[4]{15}}{12}$ #### Explanation: $\frac{\sqrt[4]{5}}{4 \cdot \sqrt[4]{27}}$, we first want to remove the radicals from the denominator, we can do this by multiplying by $\frac{\sqrt[\frac{3}{4}]{27}}{\sqrt[\frac{3}{4}]{27}}$ which is equal to $1...
2021-06-14T06:37:10
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https://www.shaalaa.com/question-bank-solutions/find-the-price-index-number-using-simple-aggregate-method-in-the-following-example-use-1995-as-base-year-in-the-following-problem-construction-of-index-numbers_156560
Find the Price Index Number using Simple Aggregate Method in the following example. Use 1995 as base year in the following problem. - Mathematics and Statistics Sum Find the Price Index Number using Simple Aggregate Method in the following example. Use 1995 as base year in the following problem. Commodity A B C D ...
2021-04-13T04:20:40
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https://math.stackexchange.com/questions/820651/sum-n-geq-0a-n-converges-iff-displaystyle-sum-n-geq-0-fraca-n-sum
# $\sum_{n\geq 0}a_n$ converges iff $\displaystyle \sum_{n\geq 0} \frac{a_n}{\sum_{k=0}^n a_k}$ converges The last problem I posted had a wrong statement. I recovered the correct one. Let $(a_n)$ be a sequence of positive real numbers. Prove that $\sum_{n\geq 0}a_n$ converges iff $\displaystyle \sum_{n\geq 0} \frac{...
2019-05-26T15:20:49
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https://proofwiki.org/wiki/Injection_iff_Left_Inverse/Proof_1
# Injection iff Left Inverse/Proof 1 ## Theorem A mapping $f: S \to T, S \ne \O$ is an injection if and only if: $\exists g: T \to S: g \circ f = I_S$ where $g$ is a mapping. That is, if and only if $f$ has a left inverse. ## Proof Let: $\exists g: T \to S: g \circ f = I_S$ From Identity Mapping is Injection, ...
2021-10-17T00:31:54
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https://scicomp.stackexchange.com/questions/17530/what-is-lost-in-terms-of-approximation-when-writing-a-problem-in-terms-of-a-dif
# What is lost in terms of approximation, when writing a problem in terms of a Differential Algebraic Equation (DAE) system rather than an ODE system? It may be that we have a model where the following equation holds for some phenomenon: $$(1)\quad x + y + z = T$$ Importantly, $T$ is a constant, i.e.: $$(2) \quad \f...
2020-01-20T06:37:20
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http://openstudy.com/updates/56147100e4b0fa7de69ada15
## hpfan101 one year ago $\lim_{x \rightarrow \infty} xe^{-x}$ 1. hpfan101 $e ^{-x}$ 2. anonymous it is the same as $\lim_{x\to \infty}\frac{x}{e^x}$ does that help? 3. hpfan101 Well, I got that far. And when I take the limit of that, I would get infinity over infinity. Not sure what to do next. 4. anonymous th...
2016-10-26T18:05:53
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https://math.stackexchange.com/questions/1437536/eigenvalues-of-complex-special-orthogonal-matrix
# Eigenvalues of complex special orthogonal matrix I've read that a matrix $P \in SO_3(\mathbb{C})$ must have an eigenvalue 1. How do I prove this? I understand the real case: the eigenvalues of $P \in SO_3(\mathbb{R})$ have complex modulus 1 and solve the characteristic polynomial of the matrix, which has real coeff...
2019-12-10T00:01:05
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https://tex.stackexchange.com/questions/37178/why-do-modern-tex-variants-not-support-floating-point-arithmetic
# Why do modern TeX variants not support floating point arithmetic? I understand that, at the time when TeX was devised, no single standard for floating point calculations was available. But, these days there is IEEE 754. Why doesn't any TeX variant support it? Granted, there's LuaTeX, but IEEE 754 was popular long b...
2019-11-17T02:10:41
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http://www.physicsforums.com/showthread.php?t=76680
tangent galvanometer by Soshamim Tags: galvanometer, tangent P: 6 Hey, I was wondering how would you find the value of the magnetic field inside a square coil? My books talk about finding the value of the mag. field at the center of a circular coil and everytime I search google for galvanometers made with square loop...
2013-12-09T07:10:47
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https://space.stackexchange.com/questions/8213/solar-flux-on-not-at-earth
# Solar flux on (not at) Earth I'm trying to find out if there are reliable values for the solar flux received on Earth. I realise this will change with location, time of day, season, weather etc. but I'm surprised that I can find anything at all. For space calculations of solar flux on solar panels I typically use a ...
2019-07-18T03:15:38
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https://stats.stackexchange.com/questions/336613/regression-using-circular-variable-hour-from-023-as-predictor
# Regression using circular variable (hour from 0~23) as predictor My question originally arises from reading this post Use of circular predictors in linear regression. Right now, I'm trying construct linear regression using "Bike Sharing dataset" from https://archive.ics.uci.edu/ml/datasets/bike+sharing+dataset whic...
2022-05-17T11:24:48
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https://www.jobilize.com/physics12/section/light-emission-active-circuit-elements-by-openstax?qcr=www.quizover.com
# 13.2 Active circuit elements Page 2 / 7 If the diode is reverse-biased, the $+$ terminal of the battery is connected to the n-type semiconductor. This makes it even more negatively charged. It also removes even more of the free electrons near the depletion band. At the same time, the $-$ terminal of the battery is...
2019-06-17T14:32:50
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https://eprint.iacr.org/2017/547
### Security Analysis of an Ultra-lightweight RFID Authentication Protocol for M-commerce Seyed Farhad Aghili and Hamid Mala ##### Abstract Over the last few years, more people perform their social activities on mobile devices, such as mobile payment or mobile wallet. Mobile commerce (m-commerce) refers to manipulat...
2023-02-02T12:19:25
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https://iclr.cc/virtual/2022/events/oral
Orals Rose Wang · Esin Durmus · Noah Goodman · Tatsunori Hashimoto Modern language models can generate high-quality short texts. However, they often meander or are incoherent when generating longer texts. These issues arise from the next-token-only language modeling objective. To address these issues, we introduce Tim...
2022-10-05T05:37:07
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https://physics.stackexchange.com/questions/118532/calculating-the-components-of-angular-momentum-of-a-rigid-body
# Calculating the components of angular momentum of a rigid body You have a rigid body with 1 fixed point in space (the origin). It's self-explanatory how to get the following equation for the angular momentum: $\vec L = \sum_n m_n\vec r_n\times\vec v_n$ Where you take the sum of all "$n$" indicates all "$n$" point...
2020-11-28T08:25:07
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https://www.pims.math.ca/scientific-event/120425-psxyz
## Probability Seminar: Xun Yu Zhou • Date: 04/25/2012 • Time: 15:00 Lecturer(s): Xun Yu Zhou Location: University of British Columbia Topic: Optimal stopping under probability distortion Description: Abstract We formulate an optimal stopping problem for a geometric Brownian motion where the probability scale is...
2023-01-27T10:20:39
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https://www.aimsciences.org/article/doi/10.3934/cpaa.2010.9.1391
# American Institute of Mathematical Sciences September  2010, 9(5): 1391-1397. doi: 10.3934/cpaa.2010.9.1391 ## Planar ACL-homeomorphisms : Critical points of their components 1 Dipartimento di Matematica e Appl. “R. Caccioppoli”, Via Cintia- Monte S.Angelo, 80126 Napoli, Italy, Italy, Italy Received  September 2...
2021-04-11T14:58:03
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http://persoweb.whu.edu.cn/publication.html
## Preprints 1. Wei-Xi Li and Tong Yang Well-posedness in Gevrey function space for the three-dimensional Prandtl equations – In the paper, we study the three-dimensional Prandtl equations, and prove that if one component of the tangential velocity field satisfies the monotonicity assumption in the normal direction, t...
2017-11-17T21:28:08
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https://www.numerade.com/questions/a-b-c-d-is-a-parallelogram-find-the-value-of-each-ratio-a-b-c-d/
Enroll in one of our FREE online STEM bootcamps. Join today and start acing your classes!View Bootcamps 00:09 Problem 2 # $A B C D$ is a parallelogram. Find the value of each ratio. $A B : C D$ ## Discussion You must be signed in to discuss. ## Video Transcript Hi, everyone. Today we're gonna talk a little bit ab...
2020-09-22T13:24:46
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https://tex.stackexchange.com/questions/256853/aligned-multiline-equations
# Aligned multiline equations I'm using an align environment in a long derivation. Each equality is aligned at the equal sign. Individual lines are too long to fit the page, so I need wrap them. However, I don't just want them to continue in the next line as I usually do and maybe indent them with a \quad, I want them...
2019-08-23T19:56:20
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http://mathhelpforum.com/calculus/4628-acceleration-print.html
# Acceleration • August 2nd 2006, 09:01 AM bret80 Acceleration If an object moves according to a function of time that is defined by the equation: y= -4t^3 + 20t^2 + 80t + 100. What is the acceleration when time t=1? (The acceleration is the rate of change of velocity with respect to time, that is, a= d^2y/dt^2) • A...
2014-07-31T17:00:17
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https://www.emathhelp.net/calculators/calculus-2/integral-calculator/
# Integral (Antiderivative) Calculator with Steps This online calculator will find the indefinite integral (antiderivative) of the given function, with steps shown (if possible). Enter a function: Integrate with respect to: Please write without any differentials such as dx, dy etc. For definite integral, see defin...
2021-05-05T21:40:12
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https://pennylane.readthedocs.io/en/latest/concepts/introduction.html
# Introduction¶ The main principle underlying PennyLane is to make the interface between the quantum and classical worlds seamless. A quantum computing device should not be viewed as a competitor to a classical computer, but rather as an accelerator. Integrating both types of information processing gives rise to hybri...
2019-04-26T07:57:18
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https://cran.microsoft.com/snapshot/2020-08-19/web/packages/perturbR/vignettes/perturbR-vignette.html
# perturbR perturbR is an R package for evaluating cluster solutions. perturbR can be used to make comparisons between (1) the solution obtained from the original matrix to solutions obtained in matrices that have had their edge weights incrementally perturbed; and (2) a relative quality score obtained from the origin...
2022-12-06T05:19:48
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http://fmoldove.blogspot.com/
## Spekkens Toy Theory There is about a week until I'll attend "The New Directions" conference in Washington DC, and after the conference I'll have plenty of fresh new ideas to present. In the meantime I'll devote this and next post to discuss the so-called Psi-Epistemic point of view of Quantum Mechanics. The basic ...
2015-04-19T10:53:53
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https://www.physicsforums.com/threads/frame-work-statics.604307/
# FRAME work ( statics) 1. May 8, 2012 ### stupif 1. every member is 0.45m and all the angle is 45degree.... C is fixed support, D is roller support 3. Ʃfx = 0 , Cx = 0 Ʃfy = 0 , Cy + Dy = 20N ƩMc = 0 , 20(0.45) + Dy(0.45) = 0 Dy = -20N OR Ʃfx = 0 , Cx - Dx = 0 Cx = Dx Ʃfy = 0, Cy -20N = 0 Cy = 20N ƩMc = 0 , 20(0...
2017-08-22T12:01:06
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http://math.stackexchange.com/questions/227869/how-to-get-the-center-and-the-axes-of-an-ellipse
# How to get the center and the axes of an ellipse Get the center and the semimajor/semiminor axes of the following ellipses: $$x^2-6x+4y^2=16$$ $$2x^2 - 4x+3y^2+6y=7$$ How would one get these? I have no clue. I have a problem with merely rewriting these in the traditional ellipse equation. - ## 2 Answers $$x^2-...
2015-01-27T18:55:46
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https://www.coursehero.com/study-guides/physics/22-4-magnetic-field-strength-force-on-a-moving-charge-in-a-magnetic-field/
# Magnetic Field Strength: Force on a Moving Charge in a Magnetic Field ### Learning Objectives By the end of this section, you will be able to: • Describe the effects of magnetic fields on moving charges. • Use the right hand rule 1 to determine the velocity of a charge, the direction of the magnetic field, and the...
2022-06-29T18:50:07
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https://square-root.net/square-root-of-negative-10077696
# Square Root of -10077696 The square root of -10077696 is the number, which multiplied by itself 2 times, is -10077696. In other words, this number to the power of 2 equals -10077696. Besides the complex values of \sqrt[2]{-10077696} along with an explanation, on this page you can also find what the elements of the ...
2021-01-18T19:12:16
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https://www.nature.com/articles/s41598-020-61176-y
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...
2021-12-04T13:48:45
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https://mykewang.com/jh9b01j/stable-matching-graph-theory-72b2f2
# stable matching graph theory I For each person being unmatched is the least preferred state, i.e., each person wants to bematched rather than unmatched. Obviously, this increases the total satisfaction of the women, since only $w's$ changes. And clearly a matching of size 2 is the maximum matching we are going to nd...
2021-04-11T17:46:53
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https://math.stackexchange.com/questions/417150/mathematical-induction-with-inequalities
Mathematical Induction with Inequalities $P(n) = n < 3^n - 4$ for all $n \ge 2$ Base case: $2 < 3^2 - 4$ $2 < 5$ Inductive step: Assume true for $n = k$, show true for $n = k + 1$ That is, assume $k < 3^{k} - 4$, and show $k + 1 < 3^{k + 1} - 4$ So, (This is where I might be wrong) $k + 1 < 3^k + 1 - 4$ (by IH)...
2019-11-20T03:52:45
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https://lorymakeup.com.br/wuz5c3b/a3aeca-cyanogen-sigma-and-pi-bonds
# cyanogen sigma and pi bonds A sigma bond σ is the strongest type of covalent bond in which the atomic orbitals directly overlap between the nuclei of two atoms.They can occur between any kind of atomic orbitals; the only requirement is that the atomic orbital overlap happens directly between the nuclei of atoms. Mis...
2021-04-14T10:09:31
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http://clay6.com/qa/51318/what-is-the-concentration-of-a-at-time-45-s-if-a-o-1-m-b-o-45-m-and-2nd-ord
Browse Questions # What is the concentration of $A$ at time $45\;s$ if $[A]_o = 1\;M$, $[B]_o = 45\;M$, and 2nd order rate constant is $0.6\;M^{-1}s^{-1}$? $\begin{array}{1 1} 1.88 \times 10^{-12}\;M \\ 3.76 \times 10^{-12}\;M \\ 0.94 \times 10^{-12}\;M \\ 4.7 \times 10^{-12}\;M \end{array}$ Can you answer this ques...
2017-04-24T21:06:40
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http://genieframework.com/packages/1803
Knet 237 Koç University deep learning framework. Introduction to Knet Knet (pronounced "kay-net") is the Koç University deep learning framework implemented in Julia by Deniz Yuret and collaborators. It supports GPU operation and automatic differentiation using dynamic computational graphs for models defined in plain...
2018-04-25T18:07:05
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https://www.physicsforums.com/threads/completing-the-square-and-then-using-trig-substitutio.296455/
# Completing the square and then using trig substitutio #### KevinL 1. The problem statement, all variables and given/known data Integral of 1/[(x^2+4x+3)^(3/2)] 3. The attempt at a solution I tried completing the square and then using trig substitution. So its: 1/[(x+2)^2 -1] let x+2=sec(theta), dx =sec(theta)tan(...
2019-03-27T00:13:53
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https://brilliant.org/discussions/thread/kinematics-from-numerical-integration/?sort=new
# Kinematics from Numerical Integration Launch a particle from ground level with some speed and some angle and compute the trajectory using numerical integration. This is a very simple example for those learning to program. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34...
2021-02-26T12:18:19
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https://elteoremadecuales.com/ionescu-tulcea-theorem/
# Ionescu-Tulcea theorem Ionescu-Tulcea theorem Not to be confused with: the Ionescu-Tulcea–Marinescu ergodic theorem. In the mathematical theory of probability, the Ionescu-Tulcea theorem, sometimes called the Ionesco Tulcea extension theorem deals with the existence of probability measures for probabilistic events ...
2022-12-01T07:07:40
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https://people.dmi.uns.ac.rs/~borisha/
## Boriša Kuzeljević Departman za matematiku i informatiku, Srbija. borisha " at " dmi.uns.ac.rs CV Seminar of our group in Novi Sad Nastava: Papers: 1. Antichains of copies of ultrahomogeneous structures (with Milos Kurilic) preprint. 2. Uniform Homogeneity (with Wieslaw Kubis) preprint. 3. Positive families and...
2021-11-28T11:55:28
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https://nodus.ligo.caltech.edu:8081/QIL/1969
40m QIL Cryo_Lab CTN SUS_Lab TCS_Lab OMC_Lab CRIME_Lab FEA ENG_Labs OptContFac Mariner WBEEShop ATF eLog Not logged in Message ID: 1969     Entry time: Sun Jul 12 02:00:15 2015 Author: Arjun Type: Misc Category: PD noise Subject: PD noise Update Today, in the process of designing a intensity control servo I took som...
2023-03-24T13:02:51
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https://stacks.math.columbia.edu/tag/0F2J
Example 52.27.7. The dimension bound in Proposition 52.27.6 is sharp. For example the Picard group of the punctured spectrum of $A = k[[x, y, z, w]]/(xy - zw)$ is nontrivial. Namely, the ideal $I = (x, z)$ cuts out an effective Cartier divisor $D$ on the punctured spectrum $U$ of $A$ as it is easy to see that $I_ x, I_...
2023-01-28T02:51:32
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http://politics.oxfordre.com/view/10.1093/acrefore/9780190228637.001.0001/acrefore-9780190228637-e-327?rskey=xrYk7R&result=3
The ORE of Politics will be available for subscription in late September. Speak to your Oxford representative or contact us to find out more. Dismiss Show Summary Details Page of date: 24 September 2017 # The Age-Structural Theory of State Behavior ## Summary and Keywords Over the past three decades, economic and...
2017-09-25T00:47:16
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https://socratic.org/questions/how-do-you-solve-and-write-the-following-in-interval-notation-x-2-2x-4-0#608684
# How do you solve and write the following in interval notation: x^2-2x+4>0? $f \left(x\right) = {x}^{2} - 2 x + 4 > 0$ $D = {d}^{2} = {b}^{2} - 4 a c = 4 - 16 = - 12 < 0$
2021-10-26T15:08:20
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http://jmre.dlut.edu.cn/cn/ch/reader/view_abstract.aspx?flag=1&file_no=20110211&journal_id=cn
Some Properties of Solutions of Periodic Second Order Linear Differential Equations DOI:10.3770/j.issn:1000-341X.2011.02.011 作者 单位 肖丽鹏 江西师范大学数学与信息科学学院, 江西 南昌 330022 陈宗煊 华南师范大学数学科学学院, 广东 广州 510631 在本文中,我们研究了二阶周期线性微分方程$$y'' Ay=0,$$解的零点,其中$A(z)=B(e^z), B(\zeta)=g(\zeta) \sum_{j=1}^pb_{-j}\zeta^{-j}, g(\zeta)$是一超越整函数满足...
2018-07-19T11:27:25
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https://www.physicsforums.com/threads/leak-in-vacuum-vessel-question.622079/
Leak in vacuum vessel question 1. Jul 19, 2012 Zrq Question: How can I estimate the amount of air that leakes into a vacuum vessel. I know the pressure outside the vessel (1020 mBar), the pressure achieved in the vessel (10 mBar), the pumping speed of the vacuum pump (400 cubic metres per hour) and the duration of t...
2018-02-23T20:54:47
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http://www.thefullwiki.org/Ejection_fraction
# Ejection fraction: Wikis Note: Many of our articles have direct quotes from sources you can cite, within the Wikipedia article! This article doesn't yet, but we're working on it! See more info or our list of citable articles. # Encyclopedia In cardiovascular physiology, ejection fraction (Ef) is the fraction of bl...
2019-06-25T13:34:00
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https://www.lmfdb.org/knowledge/show/ec.q.endomorphism_ring
show · ec.q.endomorphism_ring all knowls · up · search: The endomorphism ring $\End(E)$ of an elliptic curve $$E$$ is the ring of all endomorphisms of $$E$$ defined over $K$. For endomorphisms defined over extensions, we speak of the geometric endomorphism ring of $E$. For elliptic curves defined over $\Q$, this ring...
2021-05-13T07:09:12
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http://www.math.usm.edu/lee/matharchives/?p=1181
# 1-Dimensional Heat Initial Boundary Value Problems 2: Sturm-Liouville Problems and Orthogonal Functions Sturm-Liouville Problems The homogeneous boundary conditions of 1D heat conduction problem are given by \begin{align*} -\kappa_1u_x(0,t)+h_1u(0,t)&=0,\ t>0\\ \kappa_2u_x(L,t)+h_2u(L,t)&=0,\ t>0 \end{align*} (See ...
2016-07-28T10:29:09
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https://cs.stackexchange.com/questions/12233/is-the-universe-problem-for-one-counter-automata-with-restricted-alphabet-size-u/
# Is the universe problem for one-counter automata with restricted alphabet size undecidable? Consider the following universe problem. The universe problem. Given a finite set $\Sigma$ for a class of languages, and an automaton accepting the language $L$, decide if $L=\Sigma^*$. In [1], it is stated and proved that ...
2020-08-09T09:12:55
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https://mathematica.stackexchange.com/questions/21711/deleteduplicates-does-not-work-as-expected-on-floating-point-values
# DeleteDuplicates[] does not work as expected on floating point values Here is my simple example, and in this case function DeleteDuplicates does not work as expected. I want to FindRoot of my function $\chi[\nu]$, and since function $\chi$ is very sensitive to initial guess I decided to generate many initial condit...
2022-08-19T08:35:04
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https://www.physicsforums.com/threads/u-substitution-with-trig.577387/
# Homework Help: U substitution with trig 1. Feb 13, 2012 ### jtt 1. The problem statement, all variables and given/known data use substitution to evaluate the integral 2. Relevant equations 1)∫ tan(4x+2)dx 2)∫3(sin x)^-2 dx 3. The attempt at a solution 1) u= 4x+2 du= 4 (1/4)∫4 tan(4x+2) dx ∫(1/4)tan(4x+2)(4dx) ∫ ...
2018-05-27T03:43:15
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https://stats.stackexchange.com/questions/184247/regression-scatterplot-with-low-r-squared-and-high-p-values
# Regression: Scatterplot with low R squared and high p-values Based on three datasets, I have produced the scatterplot below in Python: I am trying to fit a line on each dataset, but when I check the metrics this is what I get: • Set 1 (red): $R^2$=0.002, p-value=0.651 • Set 2 (purple): $R^2$=0.008, p-value=0.378 •...
2021-09-16T16:03:31
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https://www.r-bloggers.com/2020/04/random-generators-produce-ties/
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't. “…an essential part of understanding how many ties these RNGs produce is to understand how many ties one expects in 32-bit integer arithmetic.” A sort of a birthday-problem paper for random generators by Markus Hofert on ar...
2021-09-27T01:13:40
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https://math.stackexchange.com/questions/2202955/let-fr-rightarrow-s-be-a-ring-homomorphism-prove-or-disprove-if-f-is-one
# Let $f:R\rightarrow S$ be a ring homomorphism. Prove or disprove: if $f$ is one-to-one and $R$ is a field, then $S$ is a field Let $f:R\rightarrow S$ be a ring homomorphism. Prove or disprove: if $f$ is one-to-one and $R$ is a field, then $S$ is a field. My attempt: I believe this statement is false, as I can imagi...
2019-10-17T18:40:43
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http://math.stackexchange.com/questions/108889/find-the-last-digit-of-this-series-for-any-value-of-n-and-m
Find the last digit of this series, for any value of $n$ and $m$, Find the last digit of this number: $$({}_{4n+1} C_0 )^{4m+1} + ({}_{4n+1} C_1 )^{4m+1} +({}_{4n+1} C_2 )^{4m+1} + \cdots + ({}_{4n+1} C_{4n+1} )^{4m+1}\;,$$ where $n$, $m$ belong to the holy set of natural numbers. - The question as it stands is a b...
2014-07-13T04:56:41
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https://www.math-only-math.com/the-area-of-a-rhombus-is-equal-to-half-the-product-of-its-diagonals.html
# The Area of a Rhombus is Equal to Half the Product of its Diagonals Here we will prove that the area of a rhombus is equal to half the product of its diagonals. Solution: Given: PQRS is a rhombus whose diagonals are PR and QS. The diagonals intersect at O. To prove: ar(rhombus PQRS) = $$\frac{1}{2}$$ ×PR × QS. ...
2020-04-06T09:29:52
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https://brianbi.ca/artin/11.3
Brian Bi ## Section 11.3. Homomorphisms and Ideals Exercise 11.3.1 Let $$I$$ be an ideal of $$R$$. By definition, $$I$$ is closed under addition. Also, either $$0 \in I$$ or $$I$$ contains some nonzero element $$x$$, whence $$0x = 0$$ is in $$I$$, so either way, $$0 \in I$$; $$I$$ contains the identity of $$R^+$$. Fi...
2022-08-13T02:27:09
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http://www.physicsforums.com/showpost.php?p=3263500&postcount=4
View Single Post P: 284 ## Any notation for component-by-component vector multiplication? I believe it will be $$\vec \nabla \cdot \left( ( \vec \nabla T)^T \cdot I_3 \vec k \right)^T$$ I think this works
2014-04-23T20:51:53
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https://www.thusspakeak.com/student/2016/09/01-FurtherStillOnTheWealthOfStations.html
# Further Still On The Wealth Of Stations My fellow students and I have spent some time investigating my suspicion that serendipity, beyond worth, might account for the relative fortune of the few over the many. To this end we have set to creating perfectly fair games mimicking the manner in which wealth accumulates a...
2018-08-17T19:04:14
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https://testbook.com/question-answer/the-ratio-of-the-peak-value-of-a-wave-to-its-rms-v--60052783678ad30c68ff239a
# The ratio of the peak value of a wave to its RMS value is defined as: This question was previously asked in SSC JE EE Previous Paper 9 (Held on: 29 Oct 2020 Evening) View all SSC JE EE Papers > 1. Form factor 2. Peak factor 3. Mean value 4. Average factor ## Answer (Detailed Solution Below) Option 2 : Peak factor ...
2021-09-27T21:34:49
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https://socratic.org/questions/how-do-you-graph-x-3-2#643198
# How do you graph x> -3? $x > - 3$ This is said as "$x$ is greater than $- 3$." The open circle on $- 3$ means that $- 3$ is not a solution (but anything greater than it is).
2022-08-12T09:16:44
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https://eranraviv.com/test-of-equality-between-two-densities/?replytocom=87019
# Test of Equality Between Two Densities Are returns this year actually different than what can be expected from a typical year? Is the variance actually different than what can be expected from a typical year? Those are fairly light, easy to answer questions. We can use tests for equality of means or equality of vari...
2022-08-12T00:52:56
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https://socratic.org/questions/5529f671581e2a172f962519
# Question 62519 Apr 12, 2015 Here's how you'd go about solving this problem. Your reaction will initially form liquid water at ${26}^{\circ} \text{C}$. This implies that the released energy will have to account for • Heating the water from ${26}^{\circ} \text{C}$ to ${100}^{\circ} \text{C}$; • Convert the water fr...
2020-06-01T12:43:28
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https://math.stackexchange.com/questions/271834/what-properties-of-busy-beaver-numbers-are-computable
# What properties of busy beaver numbers are computable? The busy beaver function $\text{BB}(n)$ describes the maximum number of steps that an $n$-state Turing machine can execute before it halts (assuming it halts at all). It is not a computable function because computing it allows you to solve the halting problem. ...
2020-08-06T22:32:00
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http://answerparty.com/question/answer/what-is-the-molecular-formula-for-a-carbonate-ion
Question: # What is the molecular formula for a carbonate ion? ## The chemical formula is: HCO3- + H+ = H20 + CO2 In chemistry, an oxocarbon anion is a negative ion consisting solely of carbon and oxygen atoms, and therefore having the general formula CxOyn for some integers x, y, and n. The most common oxocarbon an...
2014-10-23T06:42:41
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http://en.wikipedia.org/wiki/Pontecorvo%E2%80%93Maki%E2%80%93Nakagawa%E2%80%93Sakata_matrix
# Pontecorvo–Maki–Nakagawa–Sakata matrix Flavour in particle physics Flavour quantum numbers: Isospin: I or I3 Charm: C Strangeness: S Topness: T Bottomness: B′ Related quantum numbers: Baryon number: B Lepton number: L Weak isospin: T or T3 Electric charge: Q X-charge: X Combinations: Hypercharge: Y Y = (B + S + C +...
2013-12-08T15:41:55
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http://blog.thegrandlocus.com/2016/07/a-tutorial-on-burrows-wheeler-indexing-methods
The Grand Locus / Life for statistical sciences ## A tutorial on Burrows-Wheeler indexing methods (1) This post is part of a series of tutorials on indexing methods based on the Burrows-Wheeler transform. This part describes the theoretical background, the second part shows a naive C implementation of the example bel...
2021-11-29T12:03:12
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https://ask.sagemath.org/answers/15943/revisions/
# Revision history [back] This is somehow like the difference when between actually computing a sum or just writing $\Sigma$. In the first case Sage (maxima) is able to compute the general sum directly: sage: h(r) = sum(exp(i), i, -r, r) sage: h(r) (e^(2*r + 1) - 1)*e^(-r)/(e - 1) So, when you write: sage: h(1) (e...
2022-12-01T00:30:54
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http://openstudy.com/updates/50b2aef7e4b09749ccaca9a2
## anonymous 4 years ago HElp me Out? 1. What is the degree measure of angle A? __________ degrees http://www.flickr.com/photos/63839927 @N04/8219196862/in/photostream/lightbox/ 2. What did you use to find the measure of angle A? (1 point) A. 60 + x + A = 180 B. 180 – 150 = A C. Interior angles are equal D. Vertical an...
2016-12-04T16:30:54
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https://gateoverflow.in/677/gate-cse-2000-question-6
3,746 views Let $S$ be a set of $n$ elements $\left\{1, 2,\ldots, n\right\}$ and $G$ a graph with $2^{n}$ vertices, each vertex corresponding to a distinct subset of $S$. Two vertices are adjacent iff the symmetric difference of the corresponding sets has exactly $2$ elements. Note: The symmetric difference of two sets...
2021-09-27T01:05:23
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https://www.elevri.com/courses/calculus/applications-and-improper-integrals
# Applications and improper integrals A somewhat counter-intuitive result from calculus is that even a function extending infinitely in one direction may confine an area of finite size. In light of this phenomenon, it is important not to jump to any conclusions when dealing with improper integrals; integrals involving...
2023-03-26T22:14:11
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https://questions.examside.com/past-years/jee/question/pthe-distance-between-the-two-points-a-and-a-which-lie-on-jee-main-mathematics-trigonometric-functions-and-equations-4qh31b8bzu2q6ty2
Javascript is required 1 JEE Main 2022 (Online) 29th June Morning Shift +4 -1 English Hindi The distance between the two points A and A' which lie on y = 2 such that both the line segments AB and A' B (where B is the point (2, 3)) subtend angle $${\pi \over 4}$$ at the origin, is equal to : A 10 B $${48 \over 5}$$ C ...
2023-02-03T20:50:05
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http://bootmath.com/factoring-x16x-over-mathbbf_2.html
# Factoring $X^{16}+X$ over $\mathbb{F}_2$ I just asked wolframalpha to factor $X^{16}+X$ over $\mathbb{F}_2$. The normal factorization is $$X(X+1)(X^2-X+1)(X^4-X^3+X^2-X+1)(X^8+X^7-X^5-X^4-X^3+X+1)$$ and over $GF(2)$ it is $$X(X+1)(X^2+X+1)(X^4+X+1)(X^4+X^3+1)(X^4+X^3+X^2+X+1).$$ Does the second form follow from the ...
2018-06-20T09:52:12
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https://mitpress.mit.edu/books/distributed-algorithms
Hardcover | $47.00 X | £39.95 | 248 pp. | 8 x 9 in | December 2013 | ISBN: 9780262026772 eBook |$47.00 X | December 2013 | ISBN: 9780262318938 ## Distributed Algorithms An Intuitive Approach ## Overview This book offers students and researchers a guide to distributed algorithms that emphasizes examples and exercise...
2017-02-22T14:05:43
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https://www.authorea.com/users/89572/articles/138249-avalg-hw2/_show_article
# AvAlg HW2 $$2^{n+1}/2=2^{n}\\ \rightarrow\textrm{Two parts of size }2^{n}\\ \textrm{i.e.:}\\ 1.\{1,...,2^{n}\}\\ 2.\{2^{n}+1,...,2^{n+1}\}\\ \textrm{Shift the ranges one step down and we get:}\\ 1.\{0,...,2^{n}-1\}\\ 2.\{2^{n},...,2^{n+1}-1\}\\ \\$$ Actually, we can express Theorem 1.2 in terms of Theorem 1.1: $$x...
2017-08-23T10:12:58
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https://www.transtutors.com/questions/characteristic-polynomial-the-eigenvalues-are-also-the-roots-of-the-charac1eris1ic-p-2412873.htm
# Characteristic Polynomial The eigenvalues are also the roots of the charac1eris1ic poly110111ial... Characteristic Polynomial The eigenvalues are also the roots of the charac1eris1ic poly110111ial of the matrix. The MATLAB function poly will compute the characteristic polynomial satisfied by the Illatrix [i .e., p(W...
2021-12-02T09:46:57
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http://planetmath.org/globalcharacterizationofhypergeometricfunction
# global characterization of hypergeometric function Riemann noted that the hypergeometric function can be characterized by its global properties, without reference to power series, differential equations, or any other sort of explicit expression. His characterization is conveniently restated in terms of sheaves: Sup...
2018-03-24T02:34:48
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http://www.actucation.com/college-physics-2/presence-of-both-e-and-b
Informative line Presence Of Both E And B Practice Lorentz force law with force due to electric & magnetic field, Learn Relation between electric and magnetic field and direction of electric force and magnetic force on positive and negative charge. Lorentz Force Law • Consider a charge, moving with velocity $$\vec ...
2017-05-24T09:59:44
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http://nomtbf.com/tag/failure-rate/
# Are the Measures Failure Rate and Probability of Failure Different? Failure rate and probability are similar. They are slightly different, too. One of the problems with reliability engineering is so many terms and concepts are not commonly understood. Reliability, for example, is commonly defined as dependable, tr...
2017-03-30T12:39:59
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https://fpet.shef.ac.uk/RadPTDesigner/RadPTDesigner.html
Specification Vdc (VDC) Vout (VACpk) Pout (W) Material parameters ε330 s11 (m2/N x10x-12) d31 (m/V x10x-12) kp σ ρ (kg/m3) Q e0 (F/m2 x10x-12) Geometry Initial design parameters Nout/Nin=1/N = XXX.xxx tin = XXX.xxx mm tout = XXX.xxx mm Cin = XXX.xxx nF Cout = XXX.xxx nF L1 = XXX.xxx mH C1 = XXX.xxx nF R1 = XXX.xxx Ω f...
2023-02-09T06:35:51
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https://math.stackexchange.com/questions/2555054/prove-this-kenneth-s-williams-inequality
# Prove this Kenneth S. Williams inequality If $$0, then the following inequality holds: $$\frac{1}{2n^2a_n}{\sum_{1\le i < j\le n}^{} {(a_i-a_j)^2}}\le \frac{a_1+a_2+\cdots + a_n}{n}-\sqrt [n]{a_1 a_2 \cdots a_n }{\le \frac{1}{2n^2a_1}\sum_{1\le i < j\le n}^{} {(a_i-a_j)^2}}.$$ This problem was proposed by Kenneth S...
2021-06-21T01:48:12
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https://www.sarthaks.com/108405/identify-the-terms-their-coefficients-for-each-of-the-following-expressions-xy-ii-3a-6ab-5b
# Identify the terms, their coefficients for each of the following expressions. (i) x/2 + y/2 - xy (ii) 0.3a - 0.6ab + 0.5b 67 views Identify the terms, their coefficients for each of the following expressions. (i) x/2 + y/2 - xy (ii) 0.3a - 0.6ab + 0.5b by (24.8k points) selected (i) x/2y/2 - xy 1/21/2 - 1 (ii)...
2021-05-13T06:48:46
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https://stacks.math.columbia.edu/tag/0AIG
Lemma 85.5.11. Let $S$ be a scheme. Let $f : X \to Y$ be a map of presheaves on $(\mathit{Sch}/S)_{fppf}$. If $X$ is an affine formal algebraic space and $f$ is representable by algebraic spaces and locally quasi-finite, then $f$ is representable (by schemes). Proof. Let $T$ be a scheme over $S$ and $T \to Y$ a map. W...
2021-12-06T02:40:40
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http://physics.stackexchange.com/questions/53912/scalar-field-lagrangian-and-potential/53915
# Scalar field lagrangian and potential This question is a continuation of this Phys.SE post. Scalar field theory does not have gauge symmetry, and in particular, $\phi\to\phi−1$ is not a gauge transformation. but why? and I want see the mathematics that will represent the interaction potential from the Lagrangian f...
2015-03-28T01:59:43
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