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Students should be able to:
Find the electric potential from a system of discrete point sources. Write the difference vector between two vectors (and its magnitude). (Optional) Write charge densities in terms of delta functions. Compute line integrals. Find power series approximations.
Students may be familiar with the... |
A role for generalized Fermat numbers Date2016 Author
Cosgrave, John B.
Dilcher, Karl
MetadataShow full item record Abstract
We define a Gauss factorial $N_n!$ to be the product of all positive integers up to $N$ that are relatively prime to $n\in\mathbb N$. In this paper we study particular aspects of the Gauss factor... |
I'm trying to solve the Nonlinear Schrodinger's Equation (NLSE) in 2D using Finite Elements, but I don't know how to handle the nonlinear term. I suppose I have to apply the Newton-Raphson algortihm to my discretized system of PDEs, but i'm not sure how to proceed.
Note: I just started studying Finite Elements two week... |
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Now showing items 1-2 of 2
Production of charged pions, kaons and protons at large transverse momenta in pp and Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
(Elsevier, 2014-09)
Transverse momentum spectra of $\pi^{\pm}, K^{\pm}$ and $p(\bar{p})$ up to $p_T$ = 20 GeV/c at mid-rapidity, |y| $\le$ 0.8, in pp and ... |
The obvious choice for Alex's [vampire Dr. Alex Schwartz's, PHANG's] research area, given the Oxford topology group's interests, appears to be Topological Quantum Field Theory, or TQFT. But what is a TQFT? And what does it have to do with category theory?...
In honor of Halloween, I would like to discuss mathematics as... |
Let $M$ be a smooth compact manifold, and let $X$ be a smooth vector field of $M$ that is nowhere vanishing, thus one can think of the pair $(M,X)$ as a smooth flow with no fixed points. Let us say that a smooth $1$-form $\theta$ on $M$ is
adapted to this flow if $\theta(X)$ is everywhere positive; and The Lie derivati... |
Lately I’ve been studying up on ray tracing, and one of my goals has been to build a
nonlinear ray tracer — that is, a ray tracer that works in curved space, for example space that is curved by a nearby black hole. (See the finished source code!)
In order to do this, the path of each ray must be calculated in a stepwis... |
$$ Y(a) = \int_{0}^{\infty} \frac{e^{-ax}}{x^2+4} dx $$
a) Find the values of $a$ for which $Y(a)$ is well defined.
b) $Y$ checks on $(0, \infty)$ a non-homogeneous differential equation of degree two with constant coefficients.
Mathematics Stack Exchange is a question and answer site for people studying math at any le... |
This question is quite general, I'll write just my own point of view, and hope others add more to get a complete picture.
0) Let me quote A. Kirillov himself:
"In conclusion I want to express the hope that the orbit method
becomes for my readers a source of thoughts and inspirations as it has
been for me during the las... |
What's New in v18.2.9
Visual Studio 2019 Support
CodeRush now installs and runs in Visual Studio 2019.
Unit Test Builder
This release gets a port of the
Unit Test Builder from CodeRush Classic, which helps you generate test cases for members of interest as you step through code.
The Unit Test Builder supports NUnit, XU... |
Overview
What in the world do they look like?
Why are they fast? Why are they small? Which one is better and Why?
Why the authors design them like that?
So, let’s try to solve these doubts step by step.
MobileNet v1 vs. Standard CNN models
MobileNet v1 is smart enough to decompose the standard convolution operation int... |
Hodge, J.A. and Swinbank, A.M. and Simpson, J.M. and Smail, I. and Walter, F. and Alexander, D.M. and Bertoldi, F. and Biggs, A.D. and Brandt, W.N. and Chapman, S.C. and Chen, C.C. and Coppin, K.E.K. and Cox, P. and Dannerbauer, H. and Edge, A.C. and Greve, T.R. and Ivison, R.J. and Karim, A. and Knudsen, K.K. and Ment... |
I've been studying Ring-LWE based crytposystems such as the one in this paper, but I can't seem to find/come up with a proof of correctness for this particular scheme.
The encryption goes as follows:
given a message $m \in R_2 $ and sampling a secret key $s$ from a distribution $\chi$, one samples $a$ from $R_q$ and $e... |
Scientific posters present technical information and are intended for congress or presentations with colleagues. Since LaTeX is the most natural choice to typeset scientific documents, one should be able to create posters with it. This article explains how to create posters with latex
Contents
The two main options when... |
This is a further development of @ais523's answer, reducing it to only two sets of brackets, and also using a more compact cell placement based on Golomb ruler theory. ais523 has made a compiler for this construction, as well as this TIO session showing a sample resulting BF program running with debug tracing of the TW... |
I am confused whether Lorentz transform is a tensor or not, since it is a linear transform. If yes how can I verify that?
When we say something is a tensor, we're saying that it's a linear operator whose components have certain transformation properties under a change of coordinates. The underlying assumption is that t... |
The Strauss conjecture on negatively curved backgrounds
1.
Department of Mathematics, Johns Hopkins University, Baltimore, MD 21218, USA
2.
School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China
This paper is devoted to several small data existence results for semi-linear wave equations on negativ... |
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Now showing items 21-30 of 74
Measurement of azimuthal asymmetries in inclusive charged dipion production in e + e - annihilations at ? s = 3.65 GeV
(APS Physics, 2016)
We present a measurement of the azimuthal asymmetries of two charged pions in the inclusive process e(+) e(-) -> pi pi X based on a data set of ... |
The fractional Schrödinger equation with singular potential and measure data
1.
Instituto de Matemática Interdisciplinar, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040 Madrid, Spain
2.
Departamento de Matemáticas, Universidad Autónoma de Madrid, Calle Francisco Tomás y Valiente 7, 28049 Madrid, Spain
We... |
Let $G$ be a graph of diameter 2 ($\forall u,v\in V: d(u,v)\leq2$).
Can we decide if $G$ has Hamiltonian path in poly time? What about digraphs?
Perhaps some motivation is in place:
the question arises from Dirac's theorem which states that if $\forall v\in V:d(v)\geq \frac{n}{2}$ then the graph is Hamiltonian, as well... |
I intended to use Mathematica to perform the following numerical integration arising in the context of cosmology. I wish to evaluate the function $\sigma(R)$ at some specific points and plot those points.
$$\sigma(R) = \frac{1}{2\pi^2R^6}\int_{0}^{\infty}\frac{dk}{k^4}P(k) (-3kR\cos(kR)+3\sin(kR))^2$$
$$P(k)=2\pi^2\del... |
School, from our house as the crow flies, is 5.73 km. If we neglect air resistance and deal strictly with ballistic flight then we can materialize a wonderful fantasy. Starting in the backyard, extending over the top of the house, is a
launch-o-rocket, a rail-like launcher that accelerates the school-bound student unti... |
I thought about this problem again, and I think I have a full proof. It is a bit more tricky than what I anticipated. Comments are very welcome!
Update: I submitted this proof on arXiv, in case this is useful to someone: http://arxiv.org/abs/1207.2819
$\DeclareMathOperator{\fp}{fp}$$\DeclareMathOperator{\lp}{lp}$$\newc... |
Consider, I have a dynamic system model for air compressor. Which means I have modelled the system by including its physics. Does this means I also included the transients of the system?What I think is, when i modelled any system with equations, I think that includes the transients. Is it...
1. Homework Statementhttps:... |
Look at the right-most figure in diagram. The small triangle defines the all the major dimensions of the hexagon. Assuming the user measures the edge-to-edge dimension $c$, he or she can calculate the rest of the measurements. A simple right-triangle expression gives the relationship between $s/2$ and $c/2$, and is rea... |
Let $\{S_n\}$ and $\{T_n\}$ be independent renewal processes with interrenewal distributions $F$ and $G$. Define$$N(t):=N_S(t) + N_T(t)=\sum_{n=1}^\infty \left[\mathsf 1_{(0,t]}(S_n) +\mathsf 1_{(0,t]}(T_n)\right]. $$Then the sequence of jump times of $N(t)$, $$U_n = \inf\{t: N(t)=n\} $$is not in general a renewal sequ... |
This question was inspired by an answer to the "Magic trick based on deep mathematics" question. I wanted to post it as a comment, but I ran out of characters! I'm sure there must be a collection of standard results related to this question, but I don't know where to start looking.
First, a quick definition. The
diamet... |
Beside the wonderful examples above, there should also be counterexamples, where visually intuitive demonstrations are actually wrong. (e.g. missing square puzzle)
Do you know the other examples?
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related ... |
4 1 1. Homework Statement
I'm struggling to perform a symplectic reduction and don't really understand the process in general. I have a fairly solid understanding of differential equations but am just starting to explore differential geometry. Hopefully somebody will be able to walk me through this very simple example.... |
Before we look at what f does, let's look at some of Knuth's definitions earlier in the chapter.
A
computational method is a quadruple ($Q, I, \Omega, f$) where $I,\Omega \subseteq Q$ and $f : Q \mapsto Q$; and $f$ has the property of leaving $\Omega$ pointwise fixed, i.e.: $\forall q \in \Omega, f(q) = q$.
The intende... |
This question is
not about good algorithms for solving stochastic differential equations. It is about how to implement simple codes in Mathematica efficiently exploiting Mathematica's programming methodology. (Hopefully, this may be useful in a stochastic processes course, for instance).
A simple Langevin Eq. in a sing... |
Recall that Goursat's Lemma has the following useful consequence. Let $G_1, G_2$ be finite groups with no common simple non-abelian quotients, and suppose $\gcd(|G_1^{\operatorname{ab}}|, |G_2^{\operatorname{ab}}|) = 1$, where superscript $\operatorname{ab}$ denotes abelianization. If $H \subset G_1 \times G_2$ is a su... |
For most of the month of June I gathered photometric data for the star OV Boötis (OV Boo), an eclipsing cataclysmic variable star with a very short orbital period. The data were acquired using the #2 16-inch with an SBIG ST8xme camera and clear filter. The images were calibrated using BHO_ImageCalibration, and reduced ... |
This attractor is unusual because it uses both the tanh() and abs() functions. A picture can be found here (penultimate image). Here is some dependency-free Python (abridged from the GitHub code, but not flattened!) to generate the data to arbitrary order:#!/usr/bin/env python3from sys...
I came across this basic limit... |
I’m not trying to feed a fed horse (I had to) with this post, but there’s nothing more dangerous than drawing conclusions from a poorly excecuted AB test. This post is will detail the factors to consider when designing an AB Test and the reasoning behind each factor.
Null Hypothesis (\(H_{0})\)
Coming up with a hypothe... |
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How many solutions are there to sinθ+7=8 \sin \theta + 7 = 8 sinθ+7=8 in the domain [0∘,1000∘] [0 ^ \circ, 1000 ^ \circ ] [0∘,1000∘]?
What is the minimum value of a positive number xxx such that the value of sin(x+π8)\sin(x+\frac{\pi}{8})sin(x+8π) is 0?0?0?
How m... |
For purposes of scientific discovery, the field of insider-threat detection often lacks sufficient amounts of time-series training data. Moreover, the limited data that
are available are quite noisy. For instance, Greitzer and Ferryman (2013) state that ‘ground truth’ data on actual insider behavior is typically either... |
A Seifert surface for the (3,4) torus knot is defined by the intersection of $S^3 \subset \mathbb{C}^2$ with the set $\arg(z^4-w^3)=0$. The boundary is at $z^4=w^3$ and this is the torus knot. Here is a picture of its stereographic projection into $\mathbb{R}^3$:
If you replace $w\to e^{\frac{2\pi i}{3}}w$, this surfac... |
October 30th, 2014, 01:55 PM
# 1
Newbie
Joined: Oct 2014
From: London
Posts: 27
Thanks: 0
Help with these surd equations?!
I have these equations
1.$\displaystyle \frac{5^2x5^{-3}}{5^{-4}x5^{6}}$
2.$\displaystyle \frac{(x^5y^3)^4}{x^3y^2}$
3.$\displaystyle \frac{\sqrt{6}+4}{\sqrt{4}}$
Any help?
October 30th, 2014, 05:2... |
Measurement of the form factors in the decay $D^+ \to \omega e^+ \nu_{e}$ and search for the decay $D^+ \to \phi e^+ \nu_{e}$ 2016 (English)In: PHYSICAL REVIEW D, ISSN 2470-0010, Vol. 92, no 7, article id 071101Article in journal (Refereed) Published Resource typeText Abstract [en]
Using 2.92 fb-1 of electron-positron ... |
I'm reading a linear algebra book and it defines the integration operation as $T \epsilon L(P(\Bbb R), \Bbb R)$. However, it defines the differentiation operation as
T $\epsilon$ $L(P(\Bbb R), P(\Bbb R))$. Don't they both map to the vector space that contains all polynomials? Why is integration as a linear function def... |
Consider A Gaussian Procces $X(t):\mathbb{R}\times \Omega \to \mathbb{R}$ with $\Omega$ a probability space and $\mathbb{E} \left[ X_t \right] = 0$ for all $t\in \mathbb{R}$.
Consider also its KL expansion $X(t) = \sum\limits_{k=0}^{\infty} Z_k e_k (t)$, with $Z_k$ being pairwise uncorrelated Gaussian random variables.... |
Given a set of vertices $\{x_\alpha\}$ whose cardinality exceeds $\aleph_1$, (assume the axiom of choice) connect each vertex with its successor by an edge, forming a linear graph. Choose two vertices $x_i$ and $x_j$ such that $card\{x|x_i \lt x \lt x_j\} \gt \aleph_1$. On one hand, it is impossible to construct a path... |
I suppose I must have learned about Bayes' Theorem at sixth form. In those days, maths was Pure and Applied, so I could - and did - largely avoid statistics until midway through my PhD I was roundly mocked by my future boss for not knowing what 'significant' meant. I quickly put that right.
However, I know I knew about... |
To get some certain properties for my use case I need a prime $P$ which has the form:
$P=2\cdot Q \cdot R \cdot S \cdot t+1$ with $Q,R,S,t$ primes as well.
Why that form - Use case
Together with this three factors $q,r,s$ are used. The values $v$ of interest have the form
$v(a,b,c) = q^ar^bs^c\bmod P$,
Those factors ha... |
The point about circuits is that a circuit has a fixed number of inputs. This means that, to define a language, we need a family of circuits $C_0, C_1, C_2, \dots$ such that the circuit $C_i$ tells you which strings of length $i$ are in the language, for each $i$. This doesn't require that there should be any relations... |
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1. Observation of a peaking structure in the J/psi phi mass spectrum from B-+/- -> J/psi phi K-+/- decays
PHYSICS LETTERS B, ISSN 0370-2693, 06/2014, Volume 734, Issue 37... |
I'm writing some code to solve problems in nonlinear elasticity using finite element methods. I have been following Bathe's book but I am having trouble with some nagging details.
My question is related to which configuration variables to use for calculating different quantities. I'm working on static problems in the u... |
So this question had two main parts that I got stuck on:
Suppose that
(X,d) is a complete metric space and $f : X \rightarrow X$ is a map.
Parts a) & b) just asked for the definition of a contraction and to prove that $f$ has at most one fixed point without using Banach's fixed point theorem, which I was fine with.
(c)... |
Hi, Can someone provide me some self reading material for Condensed matter theory? I've done QFT previously for which I could happily read Peskin supplemented with David Tong. Can you please suggest some references along those lines? Thanks
@skullpatrol The second one was in my MSc and covered considerably less than my... |
I'm trying to learn more about finite difference methods here.
Theorically using the taylor series $u(x)=\sum_{n=0}^{\infty}\frac{(x-x_i)^n}{n!}(\frac{d^nu}{dx^n})_i $ you can get the forward/backward/central difference methods, which are:
forward: $(\frac{du}{dx})_i\approx\frac{u_{i+1}-u_i}{\Delta x}$
backward: $(\fra... |
Let $A$ be a real asymmetric $n \times n$ matrix with i.i.d. random, zero-mean elements. What results, if any, are there for the eigenvectors of $A$? In particular:
How are individual eigenvectors distributed (probably zero-mean multi-variate Normal, but what is the covariance)? If $u_i$ and $u_j$ are eigenvectors of $... |
Group Theory and Rubik's Cubes
I got the idea in my head the other day to write a Rubik's cube solver. While working on that I accidentally learned some interesting math that I thought might be nice to share. Here, then, is a brief, probably over-simplified introduction to group theory and its applications to Rubik's c... |
Dear Uncle Colin, I've got a line with equation $10y+36x=16.5$. That equation has no negative numbers in it, yet its gradient is apparently negative. I don't understand why. -- Silly Line, Only Positive Equation Dear SLOPE, It looks like we're in misconception-land! In fact, you can write the equation ofRead More →
The... |
Physics case
The SoLid experiment aims to address one of the most outstanding issue in neutrino physics. Recent experimental neutrino oscillation results suggest the existence of a new neutrino state. This possible new state, with a mass of around 1 eV, is called sterile because of its vanishing weak interaction quantu... |
Given a secure PRG $G :\text{{0,1}}^n \rightarrow \text{{0,1}}^{2n}$, I've constructed the following PRG: $$G'(x) = \begin{cases}0^{2n} & \text{if x is palindrome;}\\G(x) & \text{otherwise;}\\\end{cases}$$My intuition is that $G'$ is secure because it's "predictable" only for negligible portion of the inputs, so I trie... |
I would like your help to show a statement that uses the law of iterated expectations.
In my notation $Supp_X$ denotes the support of a random variable $X$.
Consider the random variables $\epsilon, X, Y$. Take the function $z: Supp_X\rightarrow \mathbb{R}^L$ with $L>1$. Take the function $r: Supp_{(X,Y)}\rightarrow \{0... |
56 6 Homework Statement A boy decides to hang its bag from a tree branch, with the purpose of raising it. The boy walks with constant velocity in the x axis, and the bag moves in the y axis only. Taking into account that the lenght of the rope is constant and that we know the height h of the branch respect to the floor... |
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Production of Σ(1385)± and Ξ(1530)0 in proton–proton collisions at √s = 7 TeV
(Springer, 2015-01-10)
The production of the strange and double-strange baryon resonances ((1385)±, Ξ(1530)0) has been measured at mid-rapidity (|y|< 0.5) in proton–proton collisions at √s = 7 TeV with the ... |
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Now showing items 1-10 of 26
Kaon femtoscopy in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV
(Elsevier, 2017-12-21)
We present the results of three-dimensional femtoscopic analyses for charged and neutral kaons recorded by ALICE in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV. Femtoscopy is used to... |
Nandakumaran, AK and George, Raju K (2004)
Exact Controllability of a Semilinear Thermoelastic System. In: Numerical Functional Analysis and Optimization, 25 (3 - 4). pp. 271-285.
PDF
Exact_Controllability.pdf - Published Version
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Abstract
In this pap... |
The Diffie-Hellman on curve25519 is usually calculated using the base point $(9,…)$ which induces a cyclic subgroup of $G:=\{\infty\}\cup(E(F_{p^2})\cap(F_p\times F_p))$ with index 8, i.e. there is a prime $p_1$ such that $|G|=8p_1$ and the order of $(9,…)$ is $p_1$. An attacker does not have to use a multiple of $(9,…... |
Sara Maloni (University of Virginia) The geometry of quasi-Hitchin symplectic Anosov representations
Lieu : IMO, salle 2L8
Résumé : In this talk we will focus on our joint work in progress with Daniele Alessandrini and Anna Wienhard about quasi-Hitchin representations in Sp(4,C), which are deformations of Fuchsian repr... |
In this talk, we investigate the ratio of the connected version of a problem to the original problem in graphs, called the
Price of Connectivity (PoC).
Firstly, we study the PoC for the Domination problem. The ratio of the connected domination number,
\(\gamma_c\) , and the domination number,
\(\gamma\), is strictly bo... |
Colloquium di Matematica
Invariance principle for the random Lorentz gas beyond the [Boltzmann-Grad / Gallavotti-Spohn] limit
Balint Toth
23-05-2018 - 16:00 Aula F, primo piano, edificio Aule - Largo San Leonardo Murialdo,1
Let hard ball scatterers of radius $r$ be placed in $\mathbb R^d$, centred at the points of a
Po... |
Suppose I know the Dirchlet series $$\sum_{n=1}^{\infty} \frac{f(n)}{n^s} = \frac{\zeta(s)}{\zeta(3s)},$$ where $\zeta(s)$ is the usual Riemann zeta function.
My question is - is there a way to determine $f(n)$ from this information? If so, how?
Mathematics Stack Exchange is a question and answer site for people studyi... |
This article provides answers to the following questions, among others:
Why are slip steps preferably characterized by a single crystal at an angle of 45° to the tensile axis? What is meant by multiple gliding? Under what condition does easy gliding occur? Why are there usually no slip steps on a polycrystal visible? I... |
This posting presents the \(N_l\) spectra to be used for Phase 2 of the CMB-S4 data challenge and is the analogue of this posting for Phase 1. These noise spectra are based on the most recent optimization, which includes extra low frequency bands. The documentation and evolution of these specifications have been layed ... |
Let $\chi : (\mathbb Z/f\mathbb Z)^\times \to K = \mathbb Q(\mu_{\phi(f)})$ be a primitive Dirichlet character. Assume moreover that it is
not quadratic, that is, $\chi^2$ is not the trivial character. Let $\pi_1,\dots,\pi_g$ be the primes lying over $2$ and $v_1,\dots,v_g$ be the corresponding valuations. Recall that:... |
This is a collection of a few ideas. Let me see where it takes us.
It is probably too verbose since I am writing it as I think the question.
Maybe later I can shorten it and correct errors.
If you are hurried it is safe to scroll down to the last part, where there is
what I think is an answer to the OP's question.
I wa... |
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Now showing items 1-9 of 9
Production of $K*(892)^0$ and $\phi$(1020) in pp collisions at $\sqrt{s}$ =7 TeV
(Springer, 2012-10)
The production of K*(892)$^0$ and $\phi$(1020) in pp collisions at $\sqrt{s}$=7 TeV was measured by the ALICE experiment at the LHC. The yields and the transverse momentum spectra $d^2 ... |
I'm facing this problem about Banach fixed-point theorem. The theorem says that if a function is a contraction (Lipschitz) then has only one fixed point. $$**Q:** \ f(x,y)=(e^{-1-y}+\frac{x}{3},\ e^{-1-y}+\frac{y}{3}) \ \ \ , \ A=\{(x,y) \in \mathbb{R}^2:y\geqslant 0\} \ \ \ \ \ \\ Show \ that \ the \ restriction \ in ... |
is the initial velocity just the average of all the velocities? I mean here is a little of my data Velocity Stopping Distance 1.18 .22 1.58 .32 1.27 .295 1.12 .151 1.33 .28 velocity squared 1.392 2.49 1.61 1.25 1.76
In this example, did you push the object 5 times? (This is what I've understood so far).
What does the v... |
If I take the Fourier transform of data $x \pm \sigma$, is there a standard approach to what the error in the outputs will be? Would the best way be a direct evaluation of the upper and lower bounds?
Assembled from comments of @AlexE:
The Fourier transform is linear, so the error in the Fourier domain is the Fourier tr... |
"editing and improving tag-infos should certainly be encouraged. However, it seems that not many users of this site find the time to do this". I don't think it's a matter of time. Indeed, the site's feature for this are very poor, at least to my understanding. Edits would typically require discussion, and a discussion ... |
Chapter 5: Games with Sequential Actions: Reasoning and Computing with the Extensive Form
Page number: 115
Section number:5.1.2
Content: In Definition 5.1.2, pure strategies as defined are products of the set of all actions available at all choice nodes owned by a player, rather than products of actions available at al... |
One problem that is pervasive in the power grid and not well understood is called the Transient Recovery Voltage (TRV). When a short-circuit due to a fault in high voltage or medium voltage system is switched-out by a circuit breaker, the voltage across the breaker poles rapidly increases; as high as twice the operatin... |
Given that $f$ is a OWF and $|f(x)|=|x|$ for all $x$, is $g(x)=f(x)\oplus x$ necessarily also a OWF?
While poncho's answer gives an interesting example, why this can go wrong in practice, it does not necessarily answer the question from a theoretical point of view.After all, we don't
know whether $f(x) = AES_k(x) \oplu... |
Theorem 11.4For any constant $\delta > 0$, every problem in NP has probabilistically checkable proofs of length poly($n$), where the verifier flips $O(\log n)$ coins and looks at three bits of the proof, with completeness $1-\delta$ and soundness $1/2+\delta$.
Moreover, the conditions under which Arthur accepts are ext... |
I've been reading about count-min sketch and I'm interested in the performance of this data structure when doing conservative updates. To my understanding from the Wikipedia article, conservative updating means that when you see an item, instead of incrementing all the counters you only increment the counter(s) that ha... |
65 4 Homework Statement Two identical audio speakers, connected to the same amplifier, produce monochromatic sound waves with a frequency that can be varied between 300 and 600 Hz. The speed of the sound is 340 m/s. You find that, where you are standing, you hear minimum intensity sound a) Explain why you hear minimum-... |
The local criterion for flatness goes this way:
Let $\phi : (A,m)\rightarrow (B,m')$ be a local morphism of local Noetherian rings, and $M$ a finitely generated $B$-module. If $x\in m$ is a non zero-divisor on $M$ then $M$ is flat over $A$ iff $M/xM$ is flat over $A/xA$.
One usual geometric interpretation (see for inst... |
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Consider the sets A={x∣−8<x<4,x is an integer}B={x∣−2<x≤11,x is an integer}.\begin{aligned}A &=\{x \mid -8 < x < 4, x \text{ is an integer} \}\\ B &=\{x \mid -2 < x \leq 11, x \text{ is an integer} \}.\end{aligned}AB={x∣−8<x<4,x is an integer}={x∣−2<x≤11,x is an ... |
The
package is a powerful tool, based on pgfplots
tikz, dedicated to create scientific graphs.
Contents Pgfplots is a visualization tool to make simpler the inclusion of plots in your documents. The basic idea is that you provide the input data/formula and pgfplots does the rest.
\begin{tikzpicture} \begin{axis} \addpl... |
I'm having some trouble with understanding the derivation of the action of the $X$ operator. It seems to be a result of the notation used and not a property of itself.
The usual argument is to consider eigenfunctions of the $X$-operator: $X|x\rangle = x|x\rangle$ where $X$ is an operator, $|x\rangle$ is an eigenket of ... |
A matrix is positive if and only if it is Hermitian (and thus unitarily diagonalizable) and all its eigenvalues are positive (that they are real follows automatically from it being Hermitian).If this is not the way you define a positive operator, then you need to specify how you do so that we can prove the equivalence.... |
To do this analysis, one needs data up to 20000 psi (1400 bars) on either enthalpy vs temperature and pressure (a graph) or compressibility factor Z vs temperature and pressure. The only graphs I have found of the former type go up to only 100 bars, which is a factor of 14 too low. However, I have found data on the com... |
I have the following CFG,
$S \rightarrow CB$
$C \rightarrow aCa \text{ }|\text{ } bCb \text{ }|\text{ } \text{#}B$ $B \rightarrow AB \text{ }|\text{ } \varepsilon$ $A \rightarrow a\text{ }|\text{ }b$
This is the CFG for the following language:
$$L= \left\{w \text{#} x\mid w^R \text{ is a substring of }\ x \text{, where... |
I am studying the lecture The Complexity of Propositional Proofs. Here there is a definition together with a discussion (page 3). I don't understand that discussion.
Let $F$ denote the set of propositional formulas over the connectives $\wedge$, $\vee$, $\rightarrow$ and $\lnot$, with a countably infinite supply of pro... |
that's a question from some exam in Calculus Can someone help?
does $\int _0^{\infty }\frac{\sin\pi \:x}{\left|\ln \left(x\right)\right|^{\frac{3}{2}}}$ converge?
I proved that it converges between 1 and infinity using comparison test with the integral of $\frac{1}{x^{\frac{3}{2}}}$ Between 1/2 and 1 i used Dirichlet e... |
As already mentioned by
TheSimpliFire you cannot simply change from real to complex variables without any changes within your solution. I will present you a solution which does not rely on complex analysis at all.
Recently reading this post dealing with related integrals I have finally found a way to evaluate your inte... |
By a "globally bounded $G$-function," following G. Christol, I will mean a solution to a (minimal) linear differential equation on $\mathbb{P}^1$ (then necessarily of the Fuchsian type and with rational exponents), which is regular at $x = 0$, has a Taylor expansion in $O_{K,S}[[x]]$, and has a positive radius of conve... |
Adiabatic Temperature Rise Constant
The adiabatic temperature rise constant k is the constant term used in the adiabatic temperature rise equation:
[math] A = \frac{\sqrt{i^{2}t}}{k} \, [/math]
Where [math]A \,[/math] is the minimum cross-sectional area of the PE conductor ([math]mm^{2}[/math])
[math]i^{2}t \,[/math] i... |
During the season 2014/2015, Real Madrid’s striker position was covered by the frenchman Karim Benzema. As opposed to Mourinho’s philosophy of rotating the striker almost on a game by game basis, Carlo Ancelotti had Benzema starting every game and left Javier “Chicharito” Hernandez in the bench for the majority of the ... |
Ed25519 is a typical elliptic-curve signature scheme, in a group of large prime order $\ell \approx 2^{252}$ on a curve over the field $\mathbb F_p$ for $p = 2^{255} - 19$. A secret key is a uniform random 32-byte string; a signature is a 64-byte string encoding a point $R$ on the curve generated by the standard base p... |
I have proved the 'resolution of the identity' for a normal operator, namely that there is a unique spectral measure E such that $\int_{{\sigma}(T)} {\lambda}\,dE=T$
If (${\lambda}_{n}$) is the sequence of eigenvalues of $T$, How do I prove that
a) $\sum_{n=1}^\infty \int_{\{\lambda_n\}}\lambda\,dE(\lambda)=\sum_{n=1}^... |
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Measurement of azimuthal asymmetries in inclusive charged dipion production in e + e - annihilations at ? s = 3.65 GeV
(APS Physics, 2016)
We present a measurement of the azimuthal asymmetries of two charged pions in the inclusive process e(+) e(-) -> pi pi X based on a data set of ... |
Is there a simple way to simplify an expression in terms of vector operations?
For example, when I evaluate this;
v1 = {x1, y1, z1};v2 = {x2, y2, z2};v3 = {x3, y3, z3};v4 = {x4, y4, z4};Integrate[1, {x, y, z} \[Element] Tetrahedron[{v1, v2, v3, v4}]]
I get this horrible abomination;
1/6 Abs[x3 y2 z1 - x4 y2 z1 - x2 y3 ... |
Buried in the physics paper by Nekrasov and Okounkov, a strange identity is proven: $$ \prod_{n > 0} (1 - q^n)^{\mu^2-1} = \sum_{\mathbf{k}} q^{|\mathbf{k}|} \prod_{\square \in k} \left( 1 - \frac{\mu^2}{h(\square)^2}\right) $$ where the left side is a q-series and the right side is the sum over all partitions. Ihis wa... |
Is there
a need for $L\subseteq \Sigma^*$ to be infinite to be undecidable?
I mean what if we choose a language $L'$ be a
bounded finite version of $L\subseteq \Sigma^*$, that is $|L'|\leq N$, ($N \in \mathbb{N}$), with $L' \subset L$. Is it possible for $L'$ to be an undecidable language?
I see that there is a problem... |
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