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All materials on this website have been prepared by Lee Goodwin Lee Lewis & Dobson for informational purposes only and should not be relied upon as legal advice. These materials may not reflect the most current legal developments, verdicts, settlements or opinions, and should not be considered an indication of future r... | 395,688 |
TITLE: Is this it a theorem that numbers congruent modulo two relatively prime $m,n$ are congruent modulo $mn$?
QUESTION [3 upvotes]: "If $a \equiv b \pmod m$ and $a \equiv b \pmod n$ and $\gcd(m,n)=1$, then $a \equiv b \pmod {mn}$ "
Is that a true theorem? I can't find it in my textbook!
REPLY [4 votes]: To counter a... | 31,428 |
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TITLE: Countable atomless boolean algebra covered by a larger boolean algebra
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Davido and Tiwa Savage shared what their experiences has been like being signed to Major Record labels.
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TITLE: Inverting a power series? ... Cornish Fisher
QUESTION [1 upvotes]: Hello
In the derivation of the cornish fisher expansion, the following equation is obtained:
$$
\sum_{n=2}^{\infty} b_n H_{n-1}(x_\alpha) = \sum_{j=1}^{\infty}\frac{(x_\alpha - z_\alpha)^j}{j!}H_{j-1}(x_\alpha),
$$
where $H_n(x)$ are the Hermite... | 78,556 |
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By Rick Weiss
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Wednesday, May 24, 2006
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\begin{document}
\title{Self-dual 2-quasi Abelian Codes}
\author{
Liren Lin\par
{\small School of Optical Information and Energy Engineering}\par\vskip-1mm
{\small School of Mathematics and Physics}\par\vskip-1mm
{\small Wuhan Institute of Technology, Wuhan 430205, China}
\par\vskip2mm
Yun Fan\par
{\small School of Mat... | 40,593 |
TITLE: 8.40 proof Axler: How to understand
QUESTION [0 upvotes]: At the start of the proof of minimal polynomial, $T \in \mathcal{L}(V)$ is defined with $dim V=n$. So that the list $I,T,T^2,...,T^{n^2}$ is not linear independent in $\mathcal{L}(V)$, because the vector space $\mathcal{L}(V)$ has dimension $n^2$. I don't... | 219,823 |
I had the pleasure of hanging out with these guys for a weekend last year. They’re great. This project is exactly the kind of wonderful insanity I would have expected from them. Join them to see just how many paper cups it takes to hold up a car.
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TITLE: Connected components of the zero set
QUESTION [4 upvotes]: Let $f:[c,d] \rightarrow \mathbb{R}$ be a continuous function which is piecewise analytic, i.e., there exists $N\in \mathbb{N}$ and an increasing sequence $\left(i_{n}\right)_{1 \le n \le N}$, $i_{1}=c, i_{N}=d,$ such that
$$
\forall x \in(c, d) \quad f(... | 49,552 |
TITLE: Understanding the potential energy of the Atwood machine
QUESTION [0 upvotes]: So this might be a pretty simple (dumb?) question. I don't understand the choice of the potential energy on this problem. I really can't see how the "height" in the potential energy of the masses is the same as the leght of their rope... | 39,132 |
Beginning in late 2011 and ending in the summer of 2012, a number of campus constituent groups set out to assess the current state of e-mail, calendaring, and collaboration services provided to students, faculty and staff; survey the current landscape of service offerings available; and determine a new direction for th... | 171,953 |
TITLE: $L_p([a,b])$ is the completion of $C[a,b]$: reference
QUESTION [1 upvotes]: Let $p\geq1$ be a real number and $L_p([a,b])=L_p([a,b],\mathcal{B}, \lambda)$ be the normed space which consists of all equivalence classes of $\mathcal{B}$-measurable functions $f$ on $[a,b]$ to $\mathbb R$ such that $\int_{[a,b]}|f|^p... | 175,814 |
The Melvin Judkins Early Career Clinical Investigator Award, named for the pioneer of coronary angiography, recognizes meritorious research from early career investigators and promotes careers in cardiovascular radiology.
Candidates for this award were judged based on the scientific merit of the abstract, quality and o... | 51,794 |
TITLE: Solving the Diophantine equation $9923w -9187x +9011y +9973z = 0$
QUESTION [0 upvotes]: Take the following Diophantine equation.
$$9923w -9187x +9011y +9973z = 0$$
Mathematica solves this as:
$$y = 9973 n + 4437 w + 6843 x, z = -9011 n - 4010 w - 6182 x, n \in \mathbb{Z}$$
How can you do this by hand?
REPLY [1 ... | 76,204 |
Graciela and Abuela
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Old Ford Farm Annexe
Cottage, Honiton, South West England (Ref 12053)
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Tel. 01244 500551
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\begin{document}
\begin{frontmatter}
\title{Flow-driven spectral chaos (FSC) method for long-time integration of second-order stochastic dynamical systems}
\author[1]{Hugo Esquivel}
\ead{hesquive@purdue.edu}
\author[1]{Arun Prakash}
\ead{aprakas@purdue.edu}
\author[2]{Guang Lin\fnref{fn2}}
\ead{guanglin@purdue.edu}... | 140,785 |
How long corodin is known?
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Death isn’t a popular topic, yet Jesus wasn’t afraid to discuss death. He even went so far as to tell the Jews who were Pharisees:
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Death is a topic we often avoid. Yet it is a fact we ... | 321,047 |
\begin{document}
\title[Centralizing Traces and Lie Triple Isomorphisms]
{Centralizing Traces and Lie Triple Isomorphisms on Triangular
Algebras}
\author{Xinfeng Liang, Zhankui Xiao and Feng Wei}
\address{Liang: School of Mathematical Sciences, Huaqiao University,
Quanzhou, Fujian, 362021, P. R. China}
\email{lxfr... | 25,498 |
TITLE: If an operator $T$ satisfy a property, then $\|Tx\|=c\|x\|$
QUESTION [3 upvotes]: Let $(E,\langle\cdot\;,\;\cdot\rangle)$ be a complex Hilbert space and $\mathcal{L}(E)$ be the algebra of all operators on $E$.
Assume that $T\in \mathcal{L}(E)$ and satisfy the following property (P):
$$\langle x,y\rangle=0\Longri... | 28,501 |
Main Toolbar
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« Clash Of The Choirs Premieres On NBC | Home | Bam Margera to Open Theater in Pennsylvania »
American Idol 7 To Have Less Celebrity Mentors But Same Pitiful Judges
December 17, 2007 05:32 AM by Joe Reality
With the premiere of American Idol 7 just a month away, American Idol producer Nigel Lythgoe talked about the upc... | 413,095 |
TITLE: $~ \Delta~ ABC~$ is a triangle with altitudes from $~B~$ and $~C~$ meeting $~AC,~ AB~$ at $~E~$ & $~F~$.
QUESTION [0 upvotes]: Points $~O~$ and $~M~$ denote circumcenter of $~\Delta ~ABC~$ & midpoint of $~BC~$ respectively. If $~AE=3,~ AF=4,~ A=60^\circ,~$ then find $~OM~$.
The answer is $~\sqrt{\frac{13}{3}}~.$... | 171,330 |
Kufstein, Kitzbühel, indeed, people know about them – but what about East Tyrol? Happily there are still insider tips, nooks, where only the inquisitive venture. The road which takes you there is called the Felbertauernstraße.
We have something extra special for our Osttirol friends, fans, and guests: the memory-functi... | 143,566 |
TITLE: Explain .999...=1 Dedekind cut proof?
QUESTION [2 upvotes]: I have been looking for various proofs on why the infinite repeating decimal .999....=1 and I came across an explanation using Dedekind cuts on Wikipedia's website: https://en.wikipedia.org/wiki/0.999...#cite_note-13
But the definition presented brought... | 79,254 |
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\begin{document}
\title[Cartesian Difference Categories]{Cartesian Difference Categories}
\author[M. Alvarez-Picallo]{Mario Alvarez-Picallo\rsuper{a}}
\address{\lsuper{a}Department of Computer Science, University of Oxford}
\curraddr{Edinburgh Research Center, Huawei Technologies Research \& Development}
\email{... | 200,139 |
Frontiers and Rothamsted Research form open access publishing agreement
Rothamsted Research has established an institutional agreement for open access publishing with Frontiers.
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Even More Games Trainers Play: Experiential Learning Exercises
Edward E. Scannell, John W. Newstrom
Editore: McGraw-Hill Education - Europe
Collana: McGraw-Hill Training Series
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What are the key demand-side constraints to youth employment in the formal sector in Zambia? This note seeks to answer this question by providing evidence from a recent follow-up round of data from the Zambia Enterprise Survey (ES). Around 375 000 young people expected to enter the Zambian labor force per year by 2030.... | 226,459 |
TITLE: Prove every subgroup S of a finitely generated abelian group G is itself finitely generated.
QUESTION [0 upvotes]: Call a group G finitely generated if there is a finitely subset X$\subseteq$G with G=$<X>$. Prove that every subgroup S of a finitely generated abelian group G is itself finitely generated.
I am try... | 61,543 |
\begin{document}
\thispagestyle{empty}
\maketitle
\begin{abstract}
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TITLE: Problem in game theory related to traffic networks
QUESTION [0 upvotes]: I have learnt game theory for a short period of time and I am not familiar with multi-player non-zero sum games. Here is a problem from my book which I am stuck:
In this road network below each of $n$ players wishes to choose a route from $... | 147,690 |
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Hyderabad: Police here on Thursday detained the Communist Party of India (CPI) members after they attempted to burn an effigy of Union Home Minister Amit Shah, demanding his resignation over Delhi violence. Speaking to ANI, CPI leader Chada Venkata Reddy said that the Union Home Minister should take responsibility for ... | 246,844 |
\begin{document}
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\begin{c... | 98,197 |
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May 2008 | From the Editor
Born To Rock
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TITLE: How can any proof system be non-sound?
QUESTION [0 upvotes]: I've not posted on the Mathematics stack exchange before (to my memory) so please excuse me if this is a dull question.
My second-year computer science module for Artificial Intelligence has a subtopic on Knowledge Representation and Reasoning. We've g... | 162,273 |
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TITLE: Proof by Mathematical Induction for all natural numbers n.
QUESTION [0 upvotes]: $1^3 + 2^3 + \cdot \cdot \cdot+ n^3 = $ $[ \frac{n(n+1)}{2}]^{2} $
$\text{My question for this problem is that I got stuck at a certain point}$
$\text{and I do not know where to go. This is what I know to prove by PMI.}$
(i) $1 ∈ S... | 59,773 |
TITLE: What do the subindices $jkl...$ represent in the nonlinear polarization equation?
QUESTION [0 upvotes]: After studying this article on non-linear polarization, I have two main questions:
The first was which is the origin of $n$th order susceptibilities; this was mainly already answered by a previous thread on th... | 119,674 |
\begin{document}
\title[Infinitely many non-conjugate braids]{A non-degenerate exchange move always produces infinitely many non-conjugate braids }
\author[T.Ito]{Tetsuya Ito}
\address{Department of Mathematics, Kyoto University, Kyoto 606-8502, JAPAN}
\email{tetitoh@math.kyoto-u.ac.jp}
\subjclass[2010]{Primary~57M2... | 123,111 |
Recall that, given some words $R=\{g_1, \dots, g_r\}$ on $A^{\pm 1}=\{a_1^{\pm 1}, \dots, a_m^{\pm 1}\}$, we let $M(R)=M(\{g_1, \dots, g_r\})$ denote the $r \times m$ matrix whose $(i,j)$-th entry is the sum of the exponents of all the $a_j$'s appearing in $g_i$.
In this section we prove:
\begin{thm}\label{B}
L... | 135,045 |
TITLE: The exact solution of the wave equation on $[-2,2]$ with initial data $u_0(x)=\max(1-|x|,0), u_t(x)=0 $ and boundary conditions
QUESTION [0 upvotes]: I am trying to find the exact solution for the computation of the following wave equation.
\begin{equation*}
u_{tt} = u_{xx}~~~on~~x\in(-2,2)~~,t\in(0,3.8)
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Last updated on April 17th, 2015 at 01:23 am
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2004 Toyota Sienna: Road Test
Archived Review
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TITLE: Prove that if $ f : D(0,1) \to D(0,1) $ is analytic with $ f(0) = 0 $, then $\frac{f(z)}{z} $ has a removable singularity at 0
QUESTION [7 upvotes]: Prove that if $ f : D(0,1) \to D(0,1) $ is analytic with $ f(0) = 0 $, then $ g(z) = \frac{f(z)}{z} $ has a removable singularity at 0.
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\noindent V. Bergelson and N. Hindman in \cite{key-1}, proved
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\section{Introduction}
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