text stringlengths 0 6.23M | __index_level_0__ int64 0 419k |
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TITLE: Why doesn't right exactness of a functor (say tensor product) imply exact?
QUESTION [2 upvotes]: Let's work in $R$-mod for the remainder of this question. I know I'm probably missing something super basic, but here goes. Let $F$ be the functor $- \otimes_R M$ for some $R$-module $M$. Let's use the definition (se... | 146,784 |
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TITLE: How to prove the minimal resolution of double rational points can be achieved by iterated blow-ups
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Big Banks Ramp Up Business Lending. First Time in Two Years (Misc News: December 30, 2010)
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Neurosurgeons` Stand Firm: Protect Patient Access, Limit Government Intrusion
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Indianapolis Colts quarterback Kerry Collins gets off the turf after being hit by Houston Texans linebacker Mario Williams during the third quarter of last weeks game.
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Save River Heights Park... again.
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I have a question regarding food production in newly conquered cities. Though I have linked farms to these cities and upgraded the supply line, they are starving and thus start rebelling. I'm not sure if I have to assign workers to those farms in order to make them produce anything. I haven't produced any worker unit s... | 373,019 |
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TITLE: Why does the tangent vector measure the rate of change of the angle which neighboring tangent make with the tangent?
QUESTION [5 upvotes]: I'm reading the classical Manfredo's differential geometry book and I couldn't prove formally the following statement written on page 16:
Why does the tangent vector measure... | 218,691 |
TITLE: Let $f, g$ be two bijective continuous functions $f\left(g^{-1}(x)\right)+g\left(f^{-1}(x)\right)=2 x$
QUESTION [3 upvotes]: question -
Let $f, g$ be two bijective continuous functions on $\mathbb{R}$ such that
$$
f\left(g^{-1}(x)\right)+g\left(f^{-1}(x)\right)=2 x
$$
for all $x \in \mathbb{R} .$ Suppose there ... | 153,316 |
\section{Chebyshev polynomial analysis of the trust-region Lanczos method}
\label{sec:cheb}
In this section, we present an alternative analysis of trust-region Lanczos method
based on Chebyshev polynomial approximation. Chebyshev polynomial approximation
is the basis of Daniel's \cite{Daniel} classical
proof of linea... | 74,585 |
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\section{Numerical Results}
\label{sec:numerical-results}
In this section, some numerical experiments using the schemes constructed in the
previous sections~\ref{sec:standard-L2} and~\ref{sec:weighted-L2} will be conducted,
including convergence studies and eigenvalue analyses.
\subsection{Convergence Studies}
\lab... | 178,474 |
TITLE: Matrix Transpose as a Linear Transformation
QUESTION [0 upvotes]: As linear transformations, are the $n\times n$ matrices $A$ and $A^T$ (transpose of $A$) related in any way, other than being transposes?
REPLY [1 votes]: Yes, the key property satisfied by the transpose of $A$ is
$$
\langle Ax, y \rangle = \lang... | 20,137 |
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Hello everyone! Time for a new challenge here at Anything But a Card! For Challenge 15 we are asking for something Spring-y or spring colors, or Alice in Wonderland! I know it may seem like a strange combination, but that's how it works in my mind! :) I think it's probably the rabbit/Easter thing. Anyway, let's see wha... | 314,316 |
Tough and Easy to Digest Foods: The Best and Worst for Your Colon
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\section{SYSTEM MODEL \label{sec:model}}
We consider a wireless network with $n$ nodes. Radio propagation is modeled by a given symmetric $n$ by $n$ static channel matrix, $H = \{h_{ij}\}$, representing the (power) gain on the channel between each pair of nodes $i$ and $j$. Time is assumed to be discretized into fixed... | 11,878 |
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@Generated(value="OracleSDKGenerator", comments="API Version: 20160918") public final class CloudAutonomousVmCluster extends Object
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nul... | 142,399 |
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TITLE: Problems while solving equation with $e^z$
QUESTION [0 upvotes]: I'm trying to solve this equation:
$e^z-2ie^{-z}=i-2$
Here's what I've done: $z=x+iy$
$e^x(\cos y + i \sin y) - 2ie^{-x} (\cos y - i \sin y) = i-2$
(1) $ \ \ e^x \cos y - 2e^{-x} \sin y = -2 \ $ and $ \ \ $ (2) $ \ \ e^x \sin y - 2e^ {-x} \cos y = ... | 82,284 |
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Results:
Figure 1: Gender in the ace community, including whether people identify as trans.
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TITLE: Degree of the negative part of a divisor
QUESTION [1 upvotes]: Let $K$ be an algebraically closed field (or $\overline{\mathbb{C}(z)}$ for a more precise condition). And let $P \in K[x,y]$ be an irreducible polynomial of degree $m$ with respect to $x$ and degree $n$ with respect to $y$. Consider the function fie... | 111,783 |
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TITLE: Generator polynomial of the sum of cyclic codes
QUESTION [1 upvotes]: Given two cyclic codes $C_1$ and $C_2$ of length $n$ with generator polynomials $g_1(X)$ and $g_2(X)$ respectively, I have to find the generator polynomial of $C_1+C_2$, which I already know that is a cyclic code.
I've thought of $g(X)=\gcd(g_... | 89,387 |
\begin{document}
\title{Riemannian Inexact Newton Method for Structured Inverse Eigenvalue and Singular Value Problems
}
\author{
Chun-Yueh Chiang\thanks {Center for General Education, National Formosa
University, Huwei 632, Taiwan (\texttt{chiang@nfu.edu.tw}).
This
research was supported in part by the Ministry of... | 161,959 |
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TITLE: Closed Form For Summation
QUESTION [0 upvotes]: $$\sum_{k=0}^{n/2} 2^{2k}\cdot 2k\cdot \binom{n}{2k}$$
What is the closed form (given $n$ is even)?
I've got to $n(2^2\binom{n-1}{1}+2^4\binom{n-1}{3}+\cdots+2^n\binom{n-1}{n-1})$, but I can't simplify further. Please help.
REPLY [1 votes]: $\newcommand{\angles}... | 150,735 |
In this section, we present the auxiliary family of \emph{$\bfv$-avoiding sequences} that is used later in our analysis of $\ell$-tuples covering sequences in Section~\ref{sec:tuples-covering}.
\begin{definition}\label{def:non-present}
Let $\ell$ be an integer and $ \bfv \in \Sigma_q^\ell $ a fixed $\ell$-tuple. The... | 128,923 |
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\begin{document}
\bibliographystyle{amsalpha}
\title[Semi-stable reduction for ADE curves]{Simultaneous semi-stable reduction for curves with ADE singularities}
\author[S. Casalaina-Martin]{Sebastian Casalaina-Martin }
\address{University of Colorado at Boulder, Department of Mathematics, Boulder, CO 80309}
\email... | 49,266 |
> Maybe we should also consider doing some of these modifications that Scott > had suggested in the past. > > We touched in the differences between those issues and the bug briefly on the call. Changing things that aren't broken but would make the schema better are usually off-limits for an existing namespace, but the ... | 392,406 |
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\begin{document}
\begin{abstract}
Call a Laurent polynomial $W$ `complete' if its Newton polytope is full-dimensional with zero in its interior. We show that if $W$ is any complete Laurent polynomial with coefficients in the positive part of the field $\KK$ of generalised Puiseux series, then $W$ has a unique positi... | 64,523 |
TITLE: Are moment generating functions still multiplicative if their random variables are not independent?
QUESTION [1 upvotes]: Given $X$ is a random variable with moment generating function $M(t)$, I am suppose to determine whether $M(t)M(5t)$ is the MGF of some random variable. The solution in my textbook says it is... | 158,989 |
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\begin{document}
\title{Exact solution for two-dimensional Coulomb matrix elements}
\author{Jaime \surname{Zaratiegui Garc{\'\i}a}}
\affiliation{Department of Physical Sciences/Theoretical Physics,
P.O. Box 3000, FIN-90014, University of Oulu, Finland}
\email{jaime.zaratiegui@oulu.fi}
\begin{abstract}
Exact ana... | 195,656 |
The chattering classes have weighed in, appropriately in criticizing the P5+1 deal with Iran on its nuclear program, but overlooked in much of the commentary are the following points.
First, the document is being sent to the U.N. Security Counsel for approval. This, of course, is redundant since the P5+1 represent the ... | 72,094 |
TITLE: Proving $\lim\sup x_n = \lim\inf x_n$ for $x_n$ Cauchy, alternate
QUESTION [1 upvotes]: Suppose $x_n$ is a Cauchy sequence. Prove that the $\lim\sup x_n = \lim\inf x_n$.
I made some serious mistakes when first approaching this, wanted some feedback on the proof to see if there were any errors, that is why I po... | 203,509 |
ISM Sweden shows H&M’s new spring collection
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TITLE: Why a discrete group of diffeomorphisms $\mathbb S^2\rightarrow\mathbb S^2$ can't have exactly one fixed point?
QUESTION [6 upvotes]: Context: while reading Thurston's notes on the geometry of 3-manifolds, I have found the assertion that the orbifold obtained from a sphere by adding a single conic point is a bad... | 218,447 |
\begin{document}
\title[Elliptic modular double]
{Finite-dimensional representations \\ of the elliptic modular double}
\author{ S. E. Derkachov}
\address{PDMI RAS, Fontanka 27, St. Petersburg, Russia}
\author{V. P. Spiridonov}
\address{Laboratory of Theoretical Physics, JINR, Dubna, Moscow region, 141980, Russia}... | 20,594 |
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Squad 14 used their a... | 201,334 |
\begin{document}
\title[Galois Theory of $\boldsymbol{B_{dR}^{+}}$ in the imperfect residue field case]{Galois Theory of $\boldsymbol{B_{dR}^{+}}$ in the imperfect residue field case}
\author{Shun Ohkubo}
\date{}
\address{Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-... | 192,343 |
TITLE: Prove that $a^2+\dfrac{1}{a^a-a+1}\ge a+1$, for any number $a$
QUESTION [3 upvotes]: Prove that $a^2+\dfrac{1}{a^a-a+1}\ge a+1$, for any number $a$
I think I can solve the problem by putting all the variables on one side and then $0$ on the other side, then factoring the side with the variables to become a squa... | 34,662 |
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Press Room
Ginger Signs A New Hotel In Dwarka, Gujrat
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\begin{document}
\maketitle
\begin{abstract}
This paper presents power coordination, power generation, and power flow control
schemes for supply-demand balance in distributed grid networks.
Consensus schemes using only local information are employed to
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\begin{document}
\begin{abstract}
We study a class of arrangements of lines with multiplicities on the plane which admit the Chalykh-Veselov Baker-Akhiezer function. These arrangements are obtained by adding multiplicity one lines in an invariant way to any dihedral arrangement with invariant multiplicities.
We descri... | 94,352 |
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\mysection{Notation and Preliminaries}\mylabel{s:notation}\label{notn}
\subsection{The affine Lie algebra $\sltwohat$}
Let $\mathfrak{sl}_2$ be the Lie algebra of 2$\times$2 trace zero
matrices over the field~$\fieldc$ of complex numbers with {\em standard
basis\/}
\[ h=\begin{pmatrix}
1 & 0\\ 0 & -1
\end{pmatrix}, \... | 138,705 |
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TITLE: Basic complex numbers inequality problem
QUESTION [2 upvotes]: The statement I want to prove goes as follow:
$|\frac{a-b}{1-\bar{a}b}|<1$ if $|a|<1$ or $|b|<1$
I have already proved that since $|\frac{a-b}{1-\bar{a}b}|=1$ if $|a|=1$ or $|b|=1$ and the proof goes as follow
without loss of generality suppose $|a|=... | 111,911 |
\begin{document}
\title[Yokonuma-type Hecke algebras]{Modules for Yokonuma-type Hecke
algebras}
\author{Ojas Dav\'e}
\address{Department of Mathematics and Statistics\\
Radford University\\
Radford, VA 24142, USA}
\email{odave@radford.edu}
\author{J. Matthew Douglass}
\address{Department of Mathematics\\
Univ... | 112,572 |
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MLJET VILLAS Untouched Mljet… ENQUIRE Explore the National Park with it’s beautiful lake, Odysseus’s Cave & the sweeping beaches around Saplunara – Mljet is about untouched natural beauty & getting away from it all… If you haven’t heard of Mljet Island, it’s known for being one of the most untouched islands on the Croa... | 29,454 |
Prince Charming decides to run for Fabletown Mayor. Camelot issues to and to A new dark age calls for a new Round Table, with modern knights willing to take on a sacred quest to reassemble the shattered pieces of Fabletown. The Indian fable adhered to the universally known traditions of the fable.
Children and, to some... | 151,744 |
Breathing life into your dream.
How we got started. none other than Allie when she needed assisting. Shortly after, we realized... we are the dynamic duo. We had great talents separately, but together, we could do/solve just about any problem! We would always joke every time we would do an event together that we should... | 360,884 |
The human organic structure has ever needed energy -food – for the most of import and critical twenty-four hours to twenty-four hours activities. A major function for the production of the energy which keeps us feasible and in gesture is carried out by the Sun. The importance of the Sun as an energy supplier was underl... | 74,923 |
\begin{document}
\begin{center}
\LARGE
\textbf{Dynamical Correspondence in a Generalized Quantum Theory}
\\[0,5 cm]
\normalsize
Gerd Niestegge
\\[0,3 cm]
\scriptsize
Fraunhofer ESK, Hansastr. 32, 80686 M\"unchen, Germany
\\
gerd.niestegge@esk.fraunhofer.de,
gerd.niestegge@web.de
\\[0,5 cm]
\end{center}
\normalsize
\n... | 189,878 |
\section{High Order Shape Functions}
\label{sec:HO_ShapeFunctions}
One of the primary goals of this contribution is to study the performance of transition elements based on transfinite mappings when different element types are coupled. In this article, we focus on coupling the \emph{p}-version of the FEM with the spec... | 144,756 |
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History of the Economic and Law College formation is inextricably connected with the International Humanitarian University. The Economic and Law College began its activities in 2003, the initiator of the college was Sergei Vasilyevich Kivalov, who looked ahead to the need for formation of an educational institution tha... | 143,266 |
TITLE: Use of "Trivially True" in math
QUESTION [1 upvotes]: Trivial, according to Google dictionary is an adjective with the meaning "of little value or importance." Some synonyms include: unimportant, insignificant, inconsequential, etc. It appears the literal meaning does not apply in math, because Triviality or Tri... | 151,631 |
TITLE: Difference between fields $\mathbb{Q}[\sqrt{2}+\sqrt{3}]$ and $\mathbb{Q}[\sqrt{2},\sqrt{3}]$?
QUESTION [3 upvotes]: Possible Duplicate:
Is $\mathbf{Q}(\sqrt{2}, \sqrt{3}) = \mathbf{Q}(\sqrt{2}+\sqrt{3})$?
How would one describe elements from $\mathbb{Q}[\sqrt{2}+\sqrt{3}]$ and $\mathbb{Q}[\sqrt{2},\sqrt{3}]$?... | 21,059 |
- Complete Baby Care Set --- 6 pieces baby care set consisting of newborn baby scissors, nail files, nail clippers, nasal tweezers, newborn special brushes and newborn special combs.
- Portable Baby Grooming Kit --- The baby nail scissors set is kept in a practical, practical case so that you can easily reach it. Conve... | 89,938 |
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Women Talking About Health
Publisher: Vancouver Women's Health Collective
Year Published: 1989
Resource Type: Book
Cx Number: CX3733
Abstract: The VWHC has released a book series on Women Talking About Health. The five books are Talking ab... | 127,322 |
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Are you interested in nature conservation and contributing directly to enhancing the Chilterns Area of Outstanding Natural Beauty in Bedfordshire?
Without volunteers many unique and precious habitats in our countryside will not survive so why not come along, help out and make some new friends!
This site is run by a par... | 164,074 |
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