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TITLE: How do I convince my students that the choice of variable of integration is irrelevant?
QUESTION [62 upvotes]: I will be TA this semester for the second course on Calculus, which contains the definite integral.
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\newcommand{\ExpanderDecompose}{\mathsf{ExpanderDecompose}}
\newcommand{\PartialPathSparsify}{\mathsf{PartialPathSparsify}}
\newcommand{\Ecut}{E_{\mathrm{cut}}}
\subsection{Path Sparsification on Dense Near-Regular Expanders}
\label{sec:expander-compute}
Here we provide an efficient procedure to compute path sparsifi... | 10,211 |
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TITLE: If a set of vector fails to have an additive identity, can it still have an additive inverse?
QUESTION [3 upvotes]: Let $V = \mathbb{R}^2$
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$(u, v) + (x, y) = (u + x, 0)$
Let scalar multiplication be defined as:
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\chapter{Asynchronous Optimization over Weakly Coupled Renewal Systems}
In this chapter, we present our asynchronous algorithm along with the new analysis. Along the way, we try to provide some intuitions and high level ideas of the analysis.
Consider $N$ renewal systems that operate over a slotted timeline ($t \in... | 170,108 |
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\chapter{Introduction}
\setcounter{page}{1}
This thesis studies a special type of matrix models, namely matrix field theory models.
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\begin{document}
\title[Branching processes in Markovian environment]{The survival probability of critical and subcritical branching processes in finite state space Markovian environment}
\author{Ion Grama}
\curraddr[Grama, I.]{ Universit\'{e} de Bretagne-Sud, LMBA UMR CNRS 6205,
Vannes, France}
\email{ion.grama@univ-... | 147,758 |
TITLE: Random variable related by conditional expectations
QUESTION [3 upvotes]: Let X and Y be random variables such that $E(X|Y)=\frac Y 2$ and $E(Y|X)=\frac X 2$. Does it follow that X and Y are 0? If not is their a simple example of such random variables?
Motivation: if $E(X|Y)= Y $ and $E(X|Y)=Y$ then X=Y necessar... | 122,151 |
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\begin{document}
\title{Effective Martingales with Restricted Wagers}
\author{Ron Peretz}
\affil{London School of Economics}
\date{}
\maketitle
\begin{abstract}
The classic model of computable randomness considers martingales that take real values. Recent work by \cite{teutsch-etal2012} and \cite{teutsch2013} show tha... | 47,801 |
I am at times speechless at the happiness people share with me -
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\begin{document}
\title{Ramanujan's approximation to the exponential function and generalizations}
\author{
Cormac ~O'Sullivan\footnote{
{\it 2010 Mathematics Subject Classification:} 33B10, 30E15
\newline \indent \ \ \
{\em Key words and phrases.} Exponential function, gamma function, saddle-point method, exp... | 52,144 |
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\title[Combinatorial Kirillov-Reshetikhin conjecture]{Proof of the combinatorial Kirillov-Reshetikhin conjecture}
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\address{PDF: Service de Physique Th\'eorique de Saclay, CEA/DSM/SPhT,
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\author{Zhixiang Wu}
\address{School of Mathematical Sciences, Zhejiang University,
Hangzhou, 310027, P.R.China} \email{wzx@zju.edu.cn}
\thanks{The author is supported by ZJNSF(No. LY17A010015, LZ14A010001), and NNSFC (No. 11871421)}
\subjclass[2... | 51,754 |
Do You Earn Righteousness Or Is It A free Gift?
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\begin{document}
\title{User-centric Handover in mmWave Cell-Free Massive MIMO with User Mobility}
\author{
\IEEEauthorblockN{Carmen D'Andrea, Giovanni Interdonato and Stefano Buzzi}
\IEEEauthorblockA{Dipartimento di Ingegneria Elettrica e dell'Informazione, University of Cassino and Southern Latium, Cassino, Italy \... | 12,702 |
TITLE: What is the smallest cardinality of a self-linked set in a finite cyclic group?
QUESTION [15 upvotes]: A subset $A$ of a group $G$ is defined to be self-linked if $A\cap gA\ne\emptyset$ for all $g\in G$. This happens if and only if $AA^{-1}=G$.
For a finite group $G$ denote by $sl(G)$ the smallest cardinality of... | 130,519 |
TITLE: Is this solution for the Gossip Problem correct?
QUESTION [2 upvotes]: The Gossip Problem:
Suppose there are $n$ ladies in a group, each aware of a gossip no one else in the group knows about. These ladies communicate by telephone; when two ladies in the group talk, they share information about all gossip each... | 93,483 |
TITLE: Understanding divison by monic polynomial in $R[x]$ where $R$ is an arbitrary ring
QUESTION [11 upvotes]: I read "Algebra: Chapter 0" by P.Aluffi. I encountered a topic where it says you can divide any polynomial in $R[x]$($R$ is any ring) by a monic polynomial(that is, a polynomial of the form $x^d + \sum\limit... | 101,734 |
Michelle Knight reveals how Ariel Castro beat, bound and deprived her in interview with Dr. Phil
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\begin{document}
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{\textsc {\Large On Cobweb Posets\\ and Discrete F-Boxes Tilings}} \\
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Maciej Dziemia\'nczuk
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{\erm
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}
\end{center}
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TITLE: Why is the computer useful if a chaotic system is sensitive to numeric error?
QUESTION [19 upvotes]: In every textbook on chaos, there are a lot of numerical simulations. A typical example is the Poincare section.
But why is numerical simulation still meaningful if the system is very sensitive to numerical error... | 183,366 |
TITLE: Can one reformulate tensor methods and young tableaux to account for spinor representations on $\operatorname{SO}(n)$?
QUESTION [10 upvotes]: Standard tensor methods and Young tableaux methods don't give you the spinor reps of $\operatorname{SO}(n)$.
Is this because spinor representation are projective represe... | 150,119 |
TITLE: Intersection of n lines
QUESTION [2 upvotes]: Let $n$ lines in the plane be given such that no two of them are parallel and no three of them have a common point. We want to choose the direction on every line so that the following holds: if we go along any line in its direction and put numbers from 1 to $n-1$ on ... | 75,067 |
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TITLE: Computing Gauss Legendre quadrature for large $N$
QUESTION [14 upvotes]: I've been scanning across the web, and haven't found a good method to compute the Gauss Legendre abscissas and weights $\{ x_j, w^j \} _{j=1}^N$ for large $N\in\mathbb{N}$. My question is how to do it, and why should it work?
To those who n... | 163,773 |
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TITLE: Induced current for conjoined loops in varying magnetic field
QUESTION [2 upvotes]: How do we calculate the emf and the current induced in two loops of wire, that have a portion in common between them? The specific example we had solved in class is:
The left side loop is a square and the right side loop has hal... | 79,261 |
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TITLE: Decomposing arbitrary maps
QUESTION [0 upvotes]: Let $X$ be any set and let $f$: $X\longrightarrow X$ be any map.
Must there exist an injection $g$: $X\longrightarrow X$ such that $f=g\circ h$ for some left-inverse $h$ of $g$?
Edit: The answer is No for finite $X$. What if $X$ is infinite?
REPLY [1 votes]: No, ... | 35,734 |
Professional Communication
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University of Warsaw, Department of Applied Linguistics, Institute of Specialised and Intercultural Communication
Degree programme: Applied linguistics
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2014-02-02T00:00:00.000Z
This profile was last updated on . and contains contributions from the Zoominfo Community.
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HDR shots: aligning photos
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TITLE: Separable vs countable
QUESTION [0 upvotes]: I want to show that $l^2(X)$ is separable iff $X$ is countable. Note that a space is separable if it has a countable dense subset. I can see that if $X$ is countable, then $l^2(X)$ is separable. To prove the other direction, I need a countable dense set. How can I con... | 85,360 |
\begin{document}
\newpage
\renewcommand{\baselinestretch}{1.3}
\normalsize
\Large
\begin{center}
{\bf{Counting Conjugacy Classes of Elements of Finite Order in Lie Groups}}
\large
\vskip 1cm
Tamar Friedmann$^*$ and Richard P. Stanley$^\dagger$
\vskip .6cm
\normalsize
{\it $^*$University of Rochester, Rochester... | 98,940 |
TITLE: Lie group about the quantum harmonic oscillator
QUESTION [4 upvotes]: We konw that in quantum harmonic oscillator $H=a^\dagger a$, $a^\dagger$, $a$, $1$ will span a Lie algebra, where $a, a^\dagger$ is annihilation and creation operator, $H$ is the Hamiltonian operator. The algebraic relation is following
$$[H,a... | 47,444 |
Strip mining into the stats slag hill of the Blue Jays season turns up this little nugget: Toronto went 11-12 against rookie starters.
So, in their very last game of 2016, Ryan Merritt was no anomaly. Although Kid Merritt didn’t actually get the win as he went only 4 1/3 innings in his share of the 3-0 freeze-out.
Thin... | 177,187 |
TITLE: Properties of the internal language of the category of sheaves.
QUESTION [10 upvotes]: Consider a simple case of sheaves on some topological space $X$, $\operatorname{Sh}(X)$ (recall that a sieve on $U$ is covering iff its $\operatorname{sup}$ is $U$). All of these are Grothendieck toposes but clearly not all of... | 107,277 |
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The mother of the... | 139,127 |
TITLE: Exponent of a finite group $G$
QUESTION [1 upvotes]: Let $G$ be a finite group. The exponent of $G$, $\exp(G)$ is defined as the minimal positive integer $m$ such that $x^m=1$ for all $x \in G$.
prove:
$a)$ if $G$ is abelian then $\exp(G)= \max\{\text{ord}(x):x \in G\}$
$b)$ if $G$ is not abelian the previous st... | 190,012 |
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\appendix
\section{Proof of Theorem~\ref{th:pgdmaintheorem}.}\label{sec:proofpgd}
\textbf{Preliminaries I:} We first present preliminary results regarding the zeroth-order setting.
\begin{lemma}\label{lm:zerogradconc}
Let Assumption~\ref{as:lipgrad}, and \ref{as:subgauss} be true for $F$. Then, in the zeroth-order ... | 147,540 |
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- Top 10 General Thailand Travel Guides to buy in USA 2021 | Price & Review
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TITLE: Artin's Algebra Book Problem:Prove that splitting fields of $x^3+ex+6$ over $Q(e)$ and $x^3+\pi x+6$ over $Q(\pi)$ are isomorphic.
QUESTION [1 upvotes]: Assume that $\pi$ and $e$ are transcendental. Let $K$ be the splitting field of $f(x)=x^{3} + \pi x + 6$ over $F = Q(\pi)$
(a) Prove that $[K : F] = 6$.
(b) Pr... | 28,203 |
\begin{document}
\maketitle
\begin{abstract}
In this paper we present a classification of non-symplectic automorphisms of K3 surfaces whose order is a multiple of seven by describing the topological type of their fixed locus. In the case of purely non-symplectic automorphisms, we provide new results for order 14 and a... | 211,164 |
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\section{Deviatoric Decomposition}
As mentioned before, the connection between totally symmetric
tensors and spherical harmonics is well known.
Thus, each totally symmetric tensor can be described by
deviators.
Also, every tensor of arbitrary order up to dimension three can be
described by deviators uniquely.
B... | 26,776 |
\begin{document}
\begin{abstract}
An orbitope is the convex hull of an orbit of a compact group acting
linearly on a vector space. These highly symmetric convex bodies lie
at the crossroads of several fields including
convex geometry, algebraic geometry, and optimization.
We present a self-... | 133,451 |
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TITLE: Scheme over a field vs. scheme defined over a field
QUESTION [2 upvotes]: A scheme $X$ over another scheme $S$ is simply a morphism $X \to S$. In particular, if $K$ is a field, a scheme $X$ over $K$ is given by a morphism $X \to \operatorname{Spec} K$. For a long time, I conflated this with the notion of being d... | 206,993 |
Contrary to what you may read in your Facebook feed or junk email box, there's no "magic pill" when it comes to fitness. Instead, following these simple, basic principles can help you reach and maintain your fitness goals. | 236,938 |
\section{Conservation properties}
\label{sec: conservation}
\noindent In order to extend the operator theory for $L$ to Hardy spaces, we need to guarantee that certain operators $f(L)$ preserve vanishing zeroth moments or have the \emph{conservation property}\index{conservation property} $f(L)c = c$ whenever $c$ is a... | 194,637 |
\begin{document}
\maketitle
\begin{abstract}
The Bar\'at-Thomassen conjecture, recently proved in~\cite{bib:BHLMT}, asserts that for every tree $T$, there is a constant $c_T$ such that every $c_T$-edge connected graph $G$ with number of edges (size) divisible by the size of $T$ admits an edge partition into copies o... | 40,857 |
Franchising your business means establishing the legal infrastructure, development strategy, and plan to legally and effectively sell franchises to third party franchisee partners. To franchise your business, you must establish a legal infrastructure and platform that complies with federal and state franchise laws and ... | 64,759 |
\begin{document}
\title{Generalized Whittaker quotients of Schwartz functions on $G$-spaces}
\author{Dmitry Gourevitch}
\address{Dmitry Gourevitch, Faculty of Mathematics and Computer Science, Weizmann
Institute of Science, POB 26, Rehovot 76100, Israel }
\email{dimagur@weizmann.ac.il}
\urladdr{http://www.wisdom.weizm... | 98,340 |
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The Flaw of Averages: Why We Underestimate Risk in the Face of Uncertainty by Sam L. Savage
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TITLE: Question on Concatenation of Prime Numbers
QUESTION [11 upvotes]: Concatenation
Concatenation of two numbers $(p,q)$ in some number base is defined as combining the digits of those numbers, written as $p||q$ .
For example, $123||456=123456$.
Concatenation simply combines digits of two numbers.
Concatenator
Let... | 111,946 |
TITLE: $f(x)=x^4+ax^2+b\in \mathbb{Z}[x]$ is irreducible iff $\alpha ^2, \alpha \pm\beta$ are not elements of $\mathbb{Q}.$
QUESTION [6 upvotes]: Let $\pm \alpha, \pm \beta$ denote the roots of the polynomial $f(x)=x^4+ax^2+b\in \mathbb{Z}[x]$. Prove that $f(x)$ is irreducible over $\mathbb{Q}$ if and only if $\alpha ^... | 185,114 |
Sean Finnerty
Thu, Apr 18, 2019
Fri, Apr 19, 2019
Sean Finnerty. competition (2013) and) and Electric Picnic (2018), along with making it to the semi-finals of the nationwide talent search Stand Up NBC. A keen eye for detail Sean has also developed a reputation as a Roaster and is currently the number 1 ranked roast co... | 405,575 |
engHelp us to improve these subtitles!
It is a sad fact of reality that we can no longer trust our CPUs to only run the things we want and to not have exploitable flaws. I will provide an proposal for a system to restore (some) trust in communication secrecy and system security even in this day and age without compromi... | 161,406 |
TITLE: Modular parametrization abelian varieties
QUESTION [5 upvotes]: Let $N$ be a positive integer, and let $f$ be a newform for $S_2(\Gamma_0(N))$. Then by Shimura's construction, the variety $J_0(N)$ has a quotient $A_f$ which is an abelian variety attaced to $f$.
$$\pi:J_0(N) \to A_f$$
Dualizing this map we get a ... | 145,106 |
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326,106Ennagram,MBTI and Stackings...
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Today, 08:09 AM | 275,646 |
Whew! It is the season of rainy engagement sessions! Thankfully, we have the best couples in the world who are willing to go with the flow and let the rain (quite literally) roll right off their backs. Merilee & Andy are the epitome of an easy-going, Northwest couple and we had a blast hanging out with them a few weeks... | 348,462 |
As the countries of the world continue to become more interconnected on a daily basis, increasing globalization is inevitable. Their economies are tied together in a web that can not be undone. After this connection most countries have their own individual set of accounting standards. Currently, it is difficult to comp... | 226,000 |
No Punching Bag
Orange Platform boots
Sale Sold out
Regular price $50.00 USD
Regular priceUnit price per
$50.00 USD
Sale price
$50.00 USD
* 6 inch
* Platform boots
* Green, white , and orange mix
No Punching Bag's, "Who's Holding The Gun,"collection is based off of every day people. We wanted to show that everyone is a... | 165,893 |
During the exclusive screening of Disney’s The Lion King at the Bonifacio High Street Cinemas on July 14, Scarlet Snow Belo corrected Vicki Belo as they recited a line from “Hakuna Matata.”
Scarlet arrived dressed for the occasion, looking super cute in her Nala-inspired outfit.
In Scarlet’s opening speech, she said, “... | 259,345 |
TITLE: Fundamentals of Probability
QUESTION [1 upvotes]: Suppose I have two boxes , containing white and black balls. In the first one , we have 8 white and 6 black balls. In the second one , we have 4 white and 7 black balls.
Now if one ball is drawn at random , suppose we need to find the probability o it being black... | 38,966 |
The ongoing state and federal cuts to funding are continuous hitting higher ed as we continue to face an economic crisis in America. The main attack is on nation historically black colleges and universities (HBCUs), which raises the question, “Are our black colleges relevant?” And the answer is very much “yes.”
HBCUs w... | 395,381 |
\begin{document}
\title{Uniqueness of solutions of stochastic differential equations}
\author{A. M. Davie}
\address{School of Mathematics, University of Edinburgh, King's Buildings,
Mayfield Road, Edinburgh EH9 3JZ, UK}
\subjclass[2000]{Primary 60H10; Secondary 34F05}
\begin{abstract}
We consider the stochastic d... | 5,083 |
\begin{document}
\baselineskip=17pt
\title{Representation of positive integers by the form
$x_1...x_k+x_1+...+x_k$}
\author{Vladimir Shevelev}
\address{Department of Mathematics \\Ben-Gurion University of the
Negev\\Beer-Sheva 84105, Israel. e-mail:shevelev@bgu.ac.il}
\subjclass{11N32.}
\begin{abstract}
For an ar... | 184,317 |
Mission Statement
Mission and Values
We, the French American Chamber of Commerce in the United States, are a binational non-profit organization that seeks to contribute through the efforts of our chapters and members to the development and improvement of economic, commercial, and financial relations between France and ... | 235,926 |
There really is no way to say this without sounding like a politician but I would love to represent Richmond as the 365 Days of Dining blogger. While I will not have the power to lower taxes or fight crime, my best efforts each day would be put towards making this blog as informative, engaging and fun as possible. To b... | 20,344 |
<<
Wednesday, November 12, 2014
fat land
Posted by Kristen Eleni Shellenbarger at 5:25 PM
How can you so not to that face??? So cute!
Awhhh, good for happy Laz land!! :)
So friendly and inquisitive! And photogenic. Yegads, the camera does love Laz. With good reason, wouldn't you say? | 398,835 |
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