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Newspaper: Duke cutting off service more often this year
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From Wire Reports
Published: May 16, 2008
CHARLOTTE, N.C. (AP) — A review of state records shows Duke Energy is shutting off service to more customers this year because they can’t pay their bills.
The Charlotte Obse... | 210,616 |
TITLE: Confused as to why the space of all polynomials of degree at most m is a subspace of the space of polynomials
QUESTION [3 upvotes]: I am using "Linear Algebra Done Right" as a self study guide, and was confused by the following question in the text:
For $m$ a nonnegative integer, let $P_m(F)$ denote the set of ... | 124,268 |
\begin{document}
\baselineskip15pt
\title[Banach algebras of generalized matrices]
{A class of Banach algebras of generalized matrices}
\author[M.M. Sadr]{Maysam Maysami Sadr}
\address{Depertment of Mathematics\\
Institute for Advanced Studies in Basic Sciences (IASBS)\\
P.O. Box 45195-1159, Zanjan 45137-66731, Iran}... | 12,938 |
\begin{document}
\title[Difference sets, $ B_h $ sequences, and codes in $ A_n $ lattices]
{Difference sets, $ \boldsymbol{B_h} $ sequences, and codes in $ \boldsymbol{A_n} $ lattices}
\author{Mladen~Kova\v{c}evi\'{c}}
\address{Department of Electrical Engineering,
University of Novi Sad,
Tr... | 63,749 |
Title
Tetratricopeptide 39C (TTC39C) Is Upregulated During Skeletal Muscle Atrophy and is Necessary for Muscle Cell Differentiation
Year of Publication
2018. Doria Bowers, Ph.D.
Third Advisor
Dr. John Hatle, Ph.D.
Department Chair
Dr. Cliff Ross, Ph.D.
College Dean
Dr. George Rainbolt, Ph.D.
Abstract
Ttc39c has been id... | 325,258 |
TITLE: product of martingales bounded in $L^2$
QUESTION [1 upvotes]: Let $(M_t)_t$ and $(M_t)_t$ be two càdlàg martingales on the same filtered probability space.
We know that $M_{\infty}$ and $N_{\infty}$ are orthogonal in $L^2$.
Is it true that $(M_t N_t)_t$ is a martingale? If so, is it uniformly integrable?
I suspe... | 112,320 |
TITLE: convergence in probability confusion
QUESTION [0 upvotes]: I'm confused by the definition of convergence in probability (as discussed in Types of convergence in probability confusion?).
We have a sequence $X_1, X_2, \dots$ of random variables, and a random variable $X$. My understanding is that convergence in pr... | 55,186 |
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PM runs out of patience over 'unbridgeable gap' on press regs. Has he made an historic mistake?
Decision to prosecute Michael Le Vell taken by same QC who charged Rebekah Brooks
After generations of women have argued fruitlessly for its removal, media mogul hints at change... | 298,542 |
\section{Numerical experiments}\label{s_numex}
After describing the setup,
we present numerical experiments for recursive and pairwise summation (Section~\ref{s_ne1}), shifted summation (Section~\ref{s_ne2}), compensated summation (Section~\ref{s_ne3}),
and mixed-precision \texttt{FABSum} (Section~\ref{s_ne4}).
Expe... | 139,284 |
TITLE: Proof: $x_{1-n}$ linear dependant, w alternating multilinearform $\Rightarrow$ $w(x_1,...,x_n)=0$
QUESTION [1 upvotes]: Let $F$ be a field and $X$ a $F$-linear Space with $dim_FX=n\in\mathbb{N}$.
Let $w$ be an alternating multilinearform on $X$ and let $x_1,\cdots ,x_n\in X$ be linear dependant. Show that $w(x_1... | 61,399 |
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Career Description
Plan, direct, or coordinate advertising policies and programs or produce collateral materials, such as posters, contests, coupons, or give-aways, to create extra interest in the purchase of a product or service for a department, an entire organization, or on... | 304,352 |
TITLE: Infinitary logic doesn't have (finite) Robinson property: a counterexample?
QUESTION [3 upvotes]: Given a standard definition of an abstract logic $\mathcal{L}_A$ (cfr. Barwise & Feferman, Model-theoretic Logics, Springer-Verlag, 1985), let $E_A(\sigma)$ be the class of $\mathcal{L}_A$-sentences for a signature ... | 3,693 |
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Reccomended to: travellers that are looking for an adventure, passionate about nature and exploration. The trekking tours are not all the same. Some include only very lights treks, that can be done by anybody without any kind of training or experience, and a basic accomodation, others include many walkin... | 356,286 |
Tell Us What You Want
Sat 23rd Feb 2002
LostCarPark has just added a new forum. This allows users to post their comments and talk to other users.
We would like to know what you want from the site. Please feel free to post your comments and suggestions. If there are sites we should like to or events we should list, plea... | 306,371 |
TITLE: $Gal(\mathbb{Q}(\sqrt[4]{2},i)/\mathbb{Q})$, choice of automorphisms
QUESTION [2 upvotes]: I have an exercise that asks for me to find $Gal(\mathbb{Q}(\sqrt[4]{2},i)/\mathbb{Q})$. The irreducible polynomial is $(x^4-2)(x^2+1)$. Its known that the automorphisms will permute the roots of each of the irreducible po... | 92,161 |
TITLE: Generators of Lie groups in physics
QUESTION [1 upvotes]: I asked this question in physics SE here. But I was not satisfied.
As we solving something related to symmetry transformations, we need Lie groups. Also Lie algebra is very important to generate those transformations.
E.g. the generators of $SO(3)$:
$$\be... | 67,460 |
I woke up this morning thinking (for some reason) about the symphonic black metal band Limbonic Art, and their wonderfully deranged song Behind the Mask Obscure.
Black metal is generally not something I’m into – neither the sound, which varies between someone being strangled on top of a pipe organ and an Airbus A380 di... | 91,360 |
\section{Error bounds for \eqref{prog:trs}} \label{sec:l2_TRS}
We now proceed to derive a $\ell_{2}$ error bound for the solution $\gest$ of \eqref{prog:trs}. Following the notation in \cite{CMT18_long}, we can represent any $x \in \mathbb{C}^n$ via $\bar{x} \in \mathbb{R}^{2n}$, where $\bar{x} = [\real(x)^T \ \imag(x... | 5,284 |
I was born the year the Soviets invaded Afghanistan—an invasion that started the international call for “jihad” to liberate the Muslim country from the Oppressors. As an Afghan American, I could see the men in my family struggle with this Islamic duty to defend their home and country. Did they have to take up arms? Was... | 160,562 |
\begin{document}
{\begin{flushleft}\baselineskip9pt\scriptsize
\today\\
\end{flushleft}}
\begin{abstract}
The original Kelly criterion provides a strategy to maximize the
long-term growth of winnings in a sequence of simple Bernoulli bets with
an edge, that is, when the expected return on each bet is positive.
Th... | 13,753 |
Browse through the stock images of people and animals by clicking on the name or the Gallery number at the bottom of the page. Note that to return to this page just click on "peoplehomepage" or "animalhomepage" found at the bottom of the Gallery.
People/Animals
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TITLE: What's wrong with my understanding of the scheme $\text{Isom}(E_\lambda, E_{\lambda'})$?
QUESTION [12 upvotes]: Let $\mathcal{M}_{1,1}$ be the moduli stack of elliptic curves (over the complex numbers). Define
$$\begin{eqnarray*} X &:=& \Bbb{A}^1_{\lambda} - \{0,1\}\\
X' &=& \Bbb{A}^1_{\lambda'} - \{0,1\}.\end{e... | 207,109 |
Join us for the first annual Race Against the Odds / Rhode Island on June 7th 2015 in Providence, RI. This fun and inspiring event brings family, friends and community members together to run/walk for pediatric brain cancer awareness.
Back to All Events
Earlier Event: June 7Castle Awards Half Marathon and 5k
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Okay, I have to come clean with you: I BOUGHT something…
As in, I paid more than .99 cents for it!
I have technically broken my 2014 goal for not buying any “new” clothing on myself.
To be exact, I paid $28.
As you can see I bought a couple other items… if you’re gonna break a rule than why not break it with panache?
I... | 18,976 |
Washington officials trap state's first Asian giant hornet. Now they have until mid-September to find the nests.
BLAINE, Wash. — Washington state agriculture workers have trapped their first Asian giant hornet, and have until mid-September to destroy nests before mating season begins.
The hornet was found July 14 in a ... | 313,895 |
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TITLE: Find a fraction given the repeating binary expansions
QUESTION [2 upvotes]: I can do binary expansion given a fraction just fine but the question I'm stuck on says: Find fractions for the numbers with the following binary expansion: (i) $0.00\overline{110}$ and (ii) $0.0\overline{0110}$
So I know the definition ... | 49,713 |
TITLE: Is it possible to calculate the integral $\int_{0} ^{1} \int_{0} ^{3} \int_{4y} ^{12} \frac{5 \cos{x^{2}}}{4 \sqrt{z}} dx dy dz$?
QUESTION [0 upvotes]: I'm trying to compute the triple integral $\int_{0} ^{1} \int_{0} ^{3} \int_{4y} ^{12} \frac{5\cos{x^{2}}}{4 \sqrt{z}} dx dy dz.$ I've tried every single method ... | 101,296 |
This simple & easy to install solar light by Kingavon is manufactured with 15 bright white LEDs and a 0.65W solar panel. It has a PIR (passive infrared) detection range of 2m-6m (approx) & can be used outside as a solar security light, or inside as a solar shed light. It will light for 25 seconds once motion is detecte... | 72,071 |
Sotheby’s was due to begin a High Court trial with Mark Weiss Limited on April 1 but the parties have settled with Weiss paying $4.2m to Sotheby’s without any admission of liability.
Sotheby’s first filed its claim in London's High Court against Mark Weiss Limited and business partner Fairlight Art Ventures in February... | 414,176 |
\begin{document}
\markboth{Rozanova}{The Interplay of Regularizing Factors}
\title[Small perturbations in the Model of Upper Hybrid Oscillations]{
STUDY OF SMALL PERTURBATIONS OF A STATIONARY STATE IN A MODEL OF UPPER HYBRID PLASMA OSCILLATIONS
}
\author{Olga S. Rozanova}
\address{ Mathematics and Mechanics Dep... | 53,469 |
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Sit Up In Class: This Brotha Gave A Thought Provoking Lesson To A Cop That Had His Gun Drawn On Him For Failure To Use A Turn Signal!
Uploaded June 03, 2020
This treatment is nothing new. Here's a statment from Randell Minott on what transpired the evening of September 6, 2017 in Kansas City, Missouri.
."
Po... | 192,214 |
TITLE: Find the roots of cubic equation.
QUESTION [0 upvotes]: If the function $$f(x)=x^3-9x^2+24x+c$$ has three real and distinct roots $l,m,n$, the find value of $[l]+[m]+[n]$ where $[..]$ represents greatest integer function
In my book there is no information given about $c$.
REPLY [1 votes]: The discriminant of t... | 129,175 |
This caretaker and a breeder land tortoise (aka galapago) had a friendly thing going on.
Image taken at the Darwin Center in the Galapagos Islands.
Oh now that's cool!
Bill
who's the old man? truly a great shot!!!!!!!
a good composition and laugh!
regards, Charlie. tom
The tortoise looks a bit embarrassed in front of h... | 341,356 |
The night began in a similar fashion to the way it had the Saturday afternoon previous for Richmond, with Collingwood kicking the first four goals of the match. The Tigers were not to be denied this time though and showed outright desperation to secure the victory over their arch rival. The smother from Trent Cotchin i... | 293,926 |
\begin{document}
\begin{abstract}
A classical construction of Katz gives a purely algebraic construction of Eisenstein--Kronecker series using the Gau\ss--Manin connection on the universal elliptic curve. This approach gives a systematic way to study algebraic and $p$-adic properties of real-analytic Eisenstein serie... | 51,426 |
Carl Jung
"Psychotherapy involves the therapist listening to your experiences, exploring connections between your present feelings and actions and the past events. It aims to help you understand more about yourself and your relationships. Therapists have different approaches and styles of working... some will take the ... | 221,429 |
TITLE: Is there a parametric equation for a right triangle?
QUESTION [1 upvotes]: I've been trying to find a parametric equation for a triangle because I was inspired by J.M. isn't a mathematician's answer where they provided this parametric equation for a rectangle:
$x=p(|\cos t|\cos t+ |\sin t|\sin t)$
$y=q(|\cos t|\... | 52,762 |
\begin{document}
\title{Boundary Layer Problems for the Two-dimensional Inhomogeneous
Incompressible Magnetohydrodynamics Equations\hspace{-4mm}}
\author{Jincheng Gao$^{\dag}$ \quad Daiwen Huang$^{\ddag}$ \quad Zheng-an Yao$^{\dag}$\\[10pt]
\small {$^\dag $School of Mathematics, Sun Yat-sen University,}\\
\sm... | 36,584 |
New Zealand V8s in progress!
March 27
The NZV8s 2008/09 mod will soon be available as an add-on pack for the Template Mod.
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I’m HERE!
Posted in Uncategorized on April 4, 2008 | 6 Comments »
It was a good trip!
I was able to connect with Steve and we had a fantastic lunch together. I learned all about his family and his MBA adventures and his upcoming trip to Vietnam; we really hit it off and I’m so glad that he was willing to spend part of ... | 63,647 |
TITLE: Evaluating the integral $\int e^{tx - 2|x|} dx$
QUESTION [0 upvotes]: I need to evaluate the following integral:
$$\int_{-\infty}^{\infty} e^{tx - 2|x|} dx \tag*{for $t \in (-2, 2)$}$$
To attempt to evaluate this, I being by splitting the integral in two:
$$
\int_{-\infty}^{\infty} e^{tx - 2|x|} dx \\
= \int_{-\... | 65,801 |
Our weekend accommodation in Staffordshire, deep in the Manifold Valley, was a National Trust cottage called Darfar. The National Trust hamlet of Wetton Mill consists of two holiday cottages, a farmhouse and a privately owned tea room.
Beautiful setting of Wetton Mill
Wetton Mill Cottages
Wetton Mill Tea Shop
After a s... | 272,735 |
\begin{document}
\theoremstyle{plain}
\newtheorem{theorem}{Theorem}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{proposition}[theorem]{Proposition}
\theoremstyle{definition}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{example}[theorem]{Example}
\newtheorem{co... | 192,942 |
BRAIN IMAGINGPrefrontal functional dissociation in the semantic network of patients with schizophreniaPark, Il Hoa c; Park, Hae-Jeonga b; Chun, Ji-Wonc; Kim, Eung Yeopb; Kim, Jae-Jina b cAuthor Information Departments of aPsychiatry bDiagnostic Radiology cInstitute of Behavioral Science in Medicine, Yonsei University C... | 138,672 |
Special Sessions
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Jérôme Vicente: vicente@ut-capitole.fr
Olivier Brossard: olivier.brossard@ut-capitole.fr
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For regular sessions, abstract... | 384,053 |
chapter \<open>Abstract Formulation of Tarski's Theorems\<close>
text \<open>We prove Tarski's proof-theoretic and semantic theorems about the
non-definability and respectively non-expressiveness (in the standard model) of truth\<close>
(*<*)
theory Tarski
imports Goedel_Formula Standard_Model_More
begin
(*>*)
sec... | 94,643 |
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TITLE: Recommend books for this syllabus
QUESTION [4 upvotes]: (Note: Mods, this is not a maths question per se, so please delete immediately if this is not in line with what is expected here. To all those gearing up to vote down - save it, vote to delete instead.)
I'm planning to buy a few books (Elementary to Interme... | 31,169 |
\vspace{-2mm}
\renewcommand{\thesectiondis}[2]{\Alph{section}:}
\appendices
\section{Proof of Thm. \ref{thm:bound_memory_order}}\label{app:proof_memoryorder}
The proof is motivated from the derivation presented in \cite[Thm. 4]{POLK} and is presented here for the proposed algorithm. Consider the function iterates $f... | 171,975 |
TITLE: Sets of equations
QUESTION [2 upvotes]: Let $I,J,K$ be three non-void sets, and let $\gamma$:$I\times J\times K\rightarrow\mathbb{N}$.
Is there some nonempty set $X$, together with some functions {$\{ f_{i}:X\rightarrow X;i\in I\} $},
some subsets {$\{ \Omega_{j}\subset X;j\in J\} $}, and some
points {$\{p_{k}\i... | 75,552 |
\begin{document}
\title[Inverse scattering]{Inverse scattering at fixed energy on surfaces with Euclidean ends}
\author{Colin Guillarmou}
\address{DMA, U.M.R. 8553 CNRS\\
Ecole Normale Sup\'erieure,\\
45 rue d'Ulm\\
F 75230 Paris cedex 05 \\France}
\email{cguillar@dma.ens.fr}
\author{Mikko Salo}
\address{Department o... | 90,796 |
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Pok-a-tok -- A Maya ball game played with stone hoops. The game would go ... | 269,052 |
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It can always seem daunting when it comes to trying to communicate with a loved one who is suffering from this disease.
In fact, new research from the Alzheimer’s Society has revealed that a huge majority of the general public find it difficult to know how to communicate with those living with dementia.
MORE: Could l... | 266,659 |
The head coach of the Indian cricket team, Ravi Shastri, has expressed the belief that his team could be world beaters.
Speaking on the back of another series whitewash against Bangladesh, the coach pointed that the team’s ouster for the World Cup was a bitter pill to swallow.
He however described as amazing on how the... | 317,477 |
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Local News
Immigration Office Being Built in Durham
Posted June 4, 2007
Durham, N.C. — Ground was broken Monday on the Triangle's first immigration office.
The office, which will be located on Roycroft Drive in Durham, will allow people to avoid driving to Charlotte to apply for citizenship, green cards and visas.
The ... | 77,445 |
\begin{document}
\title{Orthogonal polynomials for the weight $x^{\nu} \exp(-x- t/x)$}
\author{{\bf S. Yakubovich} \\
{\em {Department of Mathematics, Fac. Sciences of University of Porto,\\ Rua do Campo Alegre, 687; 4169-007 Porto (Portugal) }}}
\thanks{ E-mail: syakubov@fc.up.pt}
\vspace{3mm}
\thanks{ The wo... | 20,314 |
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\begin{document}
\title{Trait evolution in two--sex populations}
\author[P. Zwole\'nski]{Pawe{\l} Zwole{\'n}ski}
\address{Institute of Mathematics,
Polish Academy of Sciences,
Bankowa 14, 40-007 Katowice, Poland.}
\email{pawel.zwolenski@gmail.com}
\thanks{This research was partially supported
by Warsaw Center of Mathe... | 195,519 |
S.C. Teacher of the Year to visit for Teacher Cadet College Day
The Citadel will host Teacher Cadet College Day on Thursday, Sept. 27, in the Greater Issues Room of Mark Clark Hall.
The program begins at 8:30 a.m. and will include a keynote address from Amy McAllister, the 2013 South Carolina Teacher of the Year. McAll... | 215,841 |
TITLE: What qualifies as a quantum theory and why are we seeking a quantum theory of gravity?
QUESTION [0 upvotes]: When can a theory be called a quantum theory? Does it have to do with the existence of certain quantities which take discrete values (they increase in quanta)? Or does it have to do with the existence of ... | 115,819 |
A Douglas Steiner, the developer who bought the church property for $41 million last November, but never heard back. Now the groups are planning a rally for next month.
The application for full demolition was approved by the Department of Buildings yesterday, documents show. Mr. Steiner’s plans call for an 80/20-percen... | 138,604 |
\begin{document}
\title[A generalized Hilbert matrix acting on Hardy spaces]
{A generalized Hilbert matrix acting on Hardy spaces}
\author[Ch.~Chatzifountas]{Christos Chatzifountas}
\address{Departamento de An\'alisis Matem\'atico,
Universidad de M\'alaga, Campus de Teatinos, 29071 M\'alaga, Spain}
\email{christos.... | 208,284 |
TITLE: Baire class 1 and discontinuities
QUESTION [4 upvotes]: Is it true that a bounded real function $f:[0,1]\to[0,1]$ with only countably many discontinuities has to be of Baire class 1, that is pointwise limit of a sequence of continuous functions? Is there a counter-example?
This would be an easy consequence of a ... | 144,052 |
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TITLE: What is the Davis Equation and why is it used in a Train Simulator?
QUESTION [8 upvotes]: I have been trying to understand how Microsoft Train Simulator works and people seem to use some Davis equation to calculate friction.
So my questions are:
What is it?
Why do they use it?
Are there alternatives to calculate... | 182,736 |
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Table Of Contents
UK Subs Main Page
Back To Bands
In the week following
the recording of Strangle Hold, we returned to Kingsway with John McCoy to record our
first Studio album. The album mostly documented the songs wed been playing live up
to that point - C.I.D. (newly re-recorded), I Couldnt Be
You, I Live in a Car, ... | 58,015 |
Please be aware this listing is for a digital PDF download and no physical item will be sent!
Want to build a platform bed to get your mattress off the floor? This bed is sleek and modern. This is the plans for the TWIN sized. We also sell FULL,.
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TITLE: Help understanding Energy estimates for Linear Hyperbolic PDE
QUESTION [2 upvotes]: I've been struggling for a while to understand the proof in Evans of the Energy Estimates of Linear Hyperbolic PDE. This is Theorem 2 in section 7.2. I have added the proof from Evans for convenience. I'm not a mathematician, rat... | 201,123 |
Rapper Polo G Was Arrested for Threatening an Officer in Miami After Traffic StopBy Mustafa Gatollari
Jun. 14 2021, Published 9:03 a.m. ET
It's always a high-stress situation whenever you see those blue and red lights flashing behind you and that police siren going off, especially with all of the news stories circulati... | 375,432 |
\begin{document}
\begin{abstract}
We present a proof of Milnor conjecture in dimension $3$ based on Cheeger-Colding
theory on limit spaces of manifolds with Ricci curvature bounded below. It is different from \cite{Liu}
that relies on minimal surface theory.
\end{abstract}
\maketitle
\section{Introduction}
Milno... | 132,879 |
It was his second concussion since the Yankees wrapped up the World Series (he also hit his head in winter ball). Cervelli has received good news from all tests involved this time around and was cleared to start light workouts and should be back in the lineup by Friday.
Here is more from Ben Shpigel of the NY Times :
“... | 259,853 |
\begin{document}
\title{Active User Detection and Channel Estimation for Spatial-based Random Access in Crowded Massive MIMO Systems via Blind Super-resolution}
\author{Abolghasem Afshar, Vahid Tabataba Vakili, Sajad Daei
\thanks{The authors are with the school of Electrical Engineering, Iran University of Science a... | 81,776 |
\begin{document}
\maketitle
\setlength{\parskip}{1ex plus 0.5ex minus 0.2ex}
\begin{abstract}
The semigroup game is a two-person zero-sum game defined on a semigroup $(S,\cdot)$ as follows: Players 1 and 2 choose elements $x\in S$ and $y\in S$, respectively, and player 1 receives a payoff $f(x y)$ defined by a func... | 150,351 |
\begin{document}
\title{More Discriminants\\with the Brezing-Weng Method}
\author{Gaetan Bisson\inst{1,2} \and Takakazu Satoh\inst{3}}
\authorrunning{G. Bisson \and T. Satoh}
\institute{
LORIA, 54506 Vandoeuvre-lès-Nancy, France
\and Technische Universiteit, 5600 Eindhoven, Netherlands
\and Tokyo Institute of Technolo... | 192,370 |
Panditji has attained a great deal of recognition that he is also a prime astrologer in Chandigarh, Panchkula, Mohali. He experienced a keen fascination right from his really younger age in the field of science of astrology and so mastered astrology that he now dictates the values and displays the ideal path to a lot o... | 233,833 |
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Bricktop's Paris
African American Women in Paris between the Two ... | 352,544 |
The Securities and Exchange Commission announced that on February 2, 2012, United States District Judge William C. Caldwell of the United States District Court for the Middle District of Pennsylvania entered an order imposing a $2,500,000 civil penalty jointly and severally against defendants Robert Glenn Bard and Visi... | 167,305 |
The on this contact is for direct interests no. view die prüfung der elektrizitätszähler: meßeinrichtungen, meßmethoden und schaltungen 1954 2006-2018, Madson Web Publishing, LLC - All tips were. The super fast reply on this time reserves for other links once. We believe kept a Ebook Taschenbuch Für Bauingenieure: Erst... | 20,255 |
TITLE: Expression of an Integer as a Power of 2 and an Odd Number (Chartrand Ex 5.4.2[a])
QUESTION [8 upvotes]: Let $n$ be a positive integer. Show that every integer $m$ with $ 1 \leq m \leq 2n $ can be expressed as $2^pk$, where $p$ is a nonnegative integer and $k$ is an odd integer with $1 \leq k < 2n$.
I wrote out... | 208,678 |
TITLE: Square on graph of cubic
QUESTION [4 upvotes]: Source of the problem: Mathematics Education Innovation
Let $k>0$ be some real constant and consider $f_k(x) = x^3 - k \, x$ for real $x$. Then one can show that for $k \geq \sqrt{8}$ there is a (tilted) square centered at $(0,0)$ with all its corners on the graph o... | 217,008 |
\begin{document}
\section{Algebraic theories}
\label{sec:algebraic_theories}
In this section, we recall some basic aspects of the well-known work on algebraic theories and their
algebras \cite{Adamek.Rosicky.Vitale:2011a} relevant to our purposes.
In particular, algebraic theories are often used to define data ty... | 32,191 |
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\section*{Appendix: Proof of Proposition 1}
The MOOP problem in (\ref{eq:OP1}) is convex and it can be solved by applying the Karush-Khun-Tucker (KKT) conditions (i.e., transforming the inequalities constraints to equality constraints by adding non-negative slack variables) \cite{Boyd2004convex}. The Lagrangian functi... | 119,163 |
The CACI Microlift Personal Facial Toning System has gone from being an in-salon exclusive, to an at-home favourite, with celebrity fans including Millie Mackintosh and Jennifer Aniston.
And it’s not just the A-listers getting on board with the CACI revolution. Our very own Emily has been raving about this product sinc... | 404,921 |
TITLE: A group normal in $G$
QUESTION [1 upvotes]: I'm doing b) and c).
If I assume $H$ is normal then $aH = Ha$ for all $a \in G \text{ and } N(H)$.
If $N(H) = G$ then $G$ is somehow normal to itself...? Hints appreciated on both of these.
REPLY [1 votes]: Well, the condition $a\in N(H)$, namely $aHa^{-1}=H$ is equiv... | 152,185 |
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