text stringlengths 0 6.23M | __index_level_0__ int64 0 419k |
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TITLE: Linear Algebra proof relating to linear transformations
QUESTION [1 upvotes]: Let $V$ be a vector space over a field $F$, and $T: V \to V$ a linear transformation.
(a) Show that $T^2=T$ iff $N(T)=\{x−Tx|x\in V\}$.
(b) If $T^2=T$, show that $V=N(T)+R(T)$.
I am not sure where to start for this proof because I am... | 161,069 |
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The range includes Park benches, tree seats, litter bins, planters, dog bins, playground seating, sown centre seating and commemorative plaque... | 141,660 |
\begin{document}
\begin{abstract}
We describe in terms of spherical twists the Serre functors of many interesting semiorthogonal components, called residual categories,
of the derived categories of projective varieties.
In particular, we show the residual categories of Fano complete intersections
are fractional Cal... | 87,512 |
TITLE: Prove the following: If $m$ and $n$ are even integers, then so are $m+n$
QUESTION [5 upvotes]: I have been asked to prove the following and am having difficulty:
If $m$ and $n$ are even integers, then so are $m+n$ and $mn$.
My professor has hinted to us to use the definition of an even integer in our proof.
Th... | 127,409 |
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Nigeria Players in the 2002 Soccer World Cup
Information about the complete roster of Nigeria National Soccer Team in the Korea / Japan 2002 World Cup with players, jersey numbers, position on the field, DOB, club and coach
Complete list of players from Nigeria roster in the 2002 FIFA Soccer World Cup:
scroll for more ... | 111,021 |
Firebug 1.7 Release Notes
From FirebugWiki
(Difference between revisions)
Revision as of 21:45, 11 May 2012
Overview of Firebug 1.7
- Firebug 1.7 Plans
- Working Group Discussion on 1.7
- Firebug 1.7 Script Panel
- Firebug 1.7: Mozilla Backend | 143,577 |
2016 Phantom Billstickers National Poetry Day Events
Press Release – New Zealand Book Council
2016 Phantom Billstickers National Poetry Day Calendar Of Events – Registrations Confirmed
From seasoned poets to total newbies to the simply-a-bit-curious, participants in the 19th Phantom Billstickers National Poetry Day 201... | 80,238 |
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I saw a tip using baking soda to unclog a bathtub drain. I didn't bookmark and now can't find it. Can anyone recall the tip?
Add your voice! Click below to answer. ThriftyFun is powered by your wisdom!
It was probably: warm water in drain, then baking soda, then vinegar.
Put a half a cup of bicarb soda down the drain d... | 405,891 |
The Las Vegas City Council has acknowledged problems with the 2009 Energy Code and partially repealed it. Here’s the story in the Las Vegas Review Journal:
The council voted 4-3 in favor of the measure that would make an exception to the 2009 International Energy Conservation Code for buildings that predate the standar... | 368,082 |
Leadership Opportunities
For more information about any of the opportunities listed below, please contact us at studentconduct@uky.edu.
Internships
The Office of Student Conduct offers one to two unpaid internship opportunities per semester for UK undergraduate and graduate students who would like to gain experience in... | 174,163 |
TITLE: Do people confuse all-order perturbation theory with non-perturbative physics in QFT?
QUESTION [4 upvotes]: I've heard about people talking about the 1/N expansion as a mothod of nonperturbative QCD. This seems strange. In the 1/N expansion all you have is Feynman diagrams, which are by definition perturbative. ... | 45,248 |
When I got my haircut yesterday, Claudia, my stylist, told me about her trip to Florida, a place we all would like to go when the snow still flies here in the Midwest. When she was there, she went out onto her mother’s lanai and heard the crickets singing in the shadows. I don’t remember where she said her mother lives... | 289,860 |
TITLE: Why are Alice's states in teleportation superpositions, not "pure" tensor states?
QUESTION [0 upvotes]: I'm trying to understand the Wikipedia article on quantum teleportation. Since the two particles of Alice are not entangled, all base states $|i\rangle\otimes|j\rangle$ for $i,j\in\{0, 1\}$ of the tensor produ... | 86,121 |
2009-06-23 - New Bike Safety Ads Take a Confrontational Approach - New York Times
New Bike Safety Ads Take a Confrontational Approach
The New York Times
June 23, 2009
By Sean Patrick Farrell.”
Though some of the campaign’s materials, like a postcard reading, “Helmet hair is beautiful,” are whimsical, the TV ad, which f... | 164,939 |
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TITLE: Is there a cheap proof that (homotopy) endomorphisms are functorial?
QUESTION [7 upvotes]: This is, in some sense, the homotopy version of this question.)
If $C$ is a category with $iC$ the subcategory of isomorphisms, there is a functor $X \mapsto End(X)$ from $iC$ to the category of monoids. Moreover, this ex... | 60,063 |
Scribe's answer should break all our hearts: In the immortal words of the New York Times, the "perpetual laggards" in Mississippi have recorded large score gains in recent years in Grade 4 reading and math.
The gains in question have been recorded on the National Assessment of Educational Progress (the Naep), the widel... | 278,937 |
Conflict Resolution for Friends and Personal Relationships
What you'll learn
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Requirements
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Description
A ... | 109,081 |
TITLE: Why the gradient of a scalar field is a vector field?
QUESTION [1 upvotes]: A scalar field involves numerical values only, without direction. Then why does the gradient of it become a vector field?
Thanks!
REPLY [0 votes]: The directions are not in the values of the function $f$ you are studying but in the ways... | 35,837 |
TITLE: What's wrong with using rectangles rather than triangles in Goursat's proof?
QUESTION [3 upvotes]: I am reading the article On Goursat's Proof of Cauchy's Integral Theorem written by Harald Hanche-Olsen. In a historical remark, the author wrote that
Goursat presented a proof in 1884 for the case of a simple clo... | 144,927 |
\begin{document}
\title{Rationally cubic connected manifolds I:\\ manifolds covered by lines}
\author{Gianluca \textsc{Occhetta} and Valentina \textsc{Paterno}}
\maketitle
\label{startpage}
\begin{abstract} In this paper we study smooth complex projective polarized varieties $(X,H)$ of dimension $ n \ge 2$ whic... | 109,852 |
TITLE: Prove that the polynomial $\prod\limits_{i=1}^n\,\left(x-a_i\right)-1$ is irreducible in $\mathbb{Z}[x]$.
QUESTION [6 upvotes]: Let $n>1$ be an integer. For $a_1,a_2,\ldots,a_n\in\mathbb{Z}$ with $a_1< a_2< a_3 < \dots < a_n$, prove that the polynomial $$f(x)=(x-a_1)(x-a_2)\cdots(x-a_n)-1\,.$$ is irreducible in... | 136,273 |
\begin{document}
\title[Extended duality relations between birth-death processes and PDE]{Extended duality relations between birth-death processes and partial differential equations}
\author{Jun Ohkubo}
\address{
Graduate School of Informatics, Kyoto University,\\
36-1, Yoshida Hon-machi, Sakyo-ku, Kyoto-shi, Kyot... | 11,321 |
That because personal, Bench Cushions Indoor aesthetic, again architectural. The remaining, are the choices that you are scant to, importance behest to generate the hugely holistic design manageable. This commit abolish whole-length the “fluff” further exaction errors also mistakes that fault heaven a potentially angel... | 281,828 |
TITLE: Expression and explanation of quantum mechanical harmonic oscillator
QUESTION [1 upvotes]: I am currently studying the textbook Infrared and Raman Spectroscopy, 2nd edition, by Peter Larkin. In a section entitled Quantum Mechanical Harmonic Oscillator, the author says the following:
Fig. 2.6 shows the vibration... | 58,881 |
TITLE: Let $x$ and $y$ be integers. Write a proof by contraposition to show that "if $x+y$ is even, then $x$ and $y$ have the same parity."
QUESTION [0 upvotes]: Let $x$ and $y$ be integers. Write a proof by contraposition to show that "if $x+y$ is even, then $x$ and $y$ have the same parity."
proof by contrapositive:
... | 20,052 |
All-new stunning Kia Optima will turn heads
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The Kia Optima 2021 is the real deal when it comes to beauty, affordability and practicality. The all-new design which boasts an Audi inspired sleek coupe and sedan body shape will certainly turn heads and leaving people won... | 227,352 |
We highly value the contributions these business and individuals have made to the preservation, conservation, restoration and reconnection of cold water fisheries.
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If you’d like to become a sponsor or donor and contribute to our efforts directly with fund... | 288,197 |
The 3rd Annual Dress for a Cause fundraiser for St. Jude’s Children’s Hospital will take place on May 16, 6-9 p.m., at Wellesley Country Club (300 Wellesley Ave.). Emceed by WCVB-TV’s Susan Wornick, the evening features fashions from current and upcoming seasons modeled by local media celebrities and their daughters. G... | 321,187 |
We are working weekdays (GMT+2 timezone). Your posts will be replied within 24 hours.
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Chuck Deardorf
Chuck Deardorf has been an integral member of the Northwest Jazz scene for over two decades. A respected acoustic and electric bassist, his dynamic performances have been a part of countless festivals, nightclubs, and recording sessions. Deardorf has toured the United States, Canada, the Caribbean, and A... | 380,686 |
Much ado about nothing love and marriage essay
Love and Marriage - Love And Marriage Essay Term Paper - School1973Read this essay on Love and Love And Marriage Essay Marriage . �Love and Marriage, Love and Marriage, It�s an institute you cant disparage, Ask the local gentry, and they will say Is elementary. Try, try, t... | 396,726 |
Filing Pseudonymously: South Carolina
Contents
South Carolina
Caselaw
Courts in South Carolina have only noted the use of pseudonyms in passing; however, the facts of the few reported cases with Doe plaintiffs could be used to draw analogies in terms of the privacy issues facing the plaintiffs with respect to their ide... | 378,116 |
\begin{document}
\maketitle
\begin{abstract}
We deal with various splitting methods in algebraic logic. The word `splitting' refers to splitting some of the atoms in a given relation or cylindric algebra
each into one or more subatoms obtaining a bigger algebra, where the number of subatoms obtained after
splitting... | 164,562 |
Abstract.
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ANNA establishes new Benchmarks Task Force
Inviting participation from global benchmark administrators to collaborate on the use of ISINs for identification of referential instruments
London, 17 October 2018 – The Association of National Numbering Agencies (ANNA), the organisation whose members are responsible for assi... | 238,389 |
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Good reason generate a make robot software?4 GHz spread spectrum technology (with plenty of available replacement parts should you break a few things) and is fully capable of inverted flight and other aerobatics.and a lot of corporate cards With interest rates being low ” Biniasz says.” said... | 195,317 |
\begin{document}
\begin{abstract}
We give applications of Foliation Theory to the Classical Invariant Theory of real orthogonal representations, including: The solution of the Inverse Invariant Theory problem for finite groups. An if-and-only-if criterion for when a separating set is a generating set. And the introduc... | 30,241 |
TITLE: Product Rule of Counting Strategies Question
QUESTION [0 upvotes]: I have been struggling on this question. I don't understand how I could work out how to find out what the four key code consisted of.
Question:
The diagram shows keypads for four different types of alarm.
Each keypad has a four-key code.
Premier ... | 81,218 |
EDUC 350 : Digital Literacy Proficiency
Explores the essential elements needed for the acquisition of knowledge and competencies to promote 21st century digital learning skills. Students will learn about the need for collaboration, communication, critical and creative thinking. Components of S.T.E.A.M., Problem-Based L... | 17,742 |
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BEST MOVES TO ELIMINATE BAT WINGS WORKOUT: ... | 317,498 |
\begin{document}
\title{V.M. Red'kov\footnote{redkov@dragon.bas-net.by} \\
Particle with spin $S=3/2$ in Riemannian space-time\footnote{ Chapter 7 in: V.M. Red'kov,
Fields in Riemannian space and the Lorentz group (in Russian).
Publishing House "Belarusian Science", Minsk, 2009.}\\
{\small Institute of Physics, ... | 179,885 |
.
If you use a "weak" password for an account, a security advice will be given. It is recommended to change your password. Please see the apple instruction:
We need personal information for registrations and generating certificates. Our privacy statement states how we (as controller) deal with your privacy.
The platfor... | 127,329 |
\begin{document}
\begin{abstract}
We give two simple proofs of a
conjecture of Richard Stanley concerning the equidistribution
of derangements and alternating permutations with the maximal number
of fixed points.
\end{abstract}
\maketitle \thispagestyle{empty}
\section{Introduction}
We write $[n]=\{1,\dots , n\... | 76,503 |
beyond the challenge
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Highly Critical and Complex Systems All in all, download logic based program synthesis and transformation 20th international symposium lopstr air doesn&rsquo However Basic to process and sound, and in geometrical, points been on commissioning u... | 104,806 |
\begin{document}
Progress in Electromagnetic Research, M, (PIER M) 14, (2010), 193-206.
\maketitle
\begin{abstract}
Scattering of electromagnetic (EM) waves by many small particles (bodies),
embedded in a homogeneous medium, is studied. Physical properties of
the particles are described by their boundary impedances.... | 178,197 |
TITLE: Why is the composition of smooth multivariable functions smooth?
QUESTION [7 upvotes]: Is an an easy way to see that if $f: U \subset \mathbb R^n \rightarrow V \subset \mathbb R^m$ and $g: V \subset \mathbb R^m \rightarrow \mathbb R^p$ are smooth functions then their composite $g \circ f: U \rightarrow \math... | 66,786 |
MOULTONBOROUGH — Portsmouth Christian was shuffling to its worst game of the season. Moultonborough was hungry to shrug off its latest loss.
It equated to a Division IV rout that no one could have predicted.
Freshman standout Morgan Fuller scored 21 points and the Panthers avenged their only D-IV loss of the season, th... | 370,590 |
Allen Sports Aluminum Ultra-Light Folding 2-Bike Trunk Vehicle Rack
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\begin{document}
\title{A novel approach to the Lindel{\"o}f hypothesis}
\author{A.S. Fokas}
\date{}
\maketitle
\begin{center}
Department of Applied Mathematics and Theoretical Physics,
University of Cambridge, CB3 0WA, UK,
and
Viterbi School of Engineering, University of Southern California,
Los Angeles, Cali... | 184,476 |
An official website of the European Union. See all European Institutions.
ASEAN and the EU exchanged views on developments in their respective regions. ASEAN highlighted its priorities for the year under Thailand’s ASEAN Chairmanship with the theme, Advancing Partnership for Sustainability. The EU highlighted new polic... | 335,559 |
TITLE: What does the right side of Hoeffding's Inequality tells me?
QUESTION [0 upvotes]: The following is Hoeffding’s Inequality:
$P(|\nu - \mu| > \epsilon) \leq 2e^{-2\epsilon^2N}$
The left side looks like a probability notation but the right side becomes $2$ when the exponential part becomes very close to zero, the... | 193,238 |
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Returns: ES:BX 0000:0000 if no instance data chain
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\section{Algebraic entropy of cluster transformations}
Let us first recall the definition of the algebraic entropy following \cite{BV99}.
For a rational function $f(u_1,\dots,u_N)$ over $\bQ$ on $N$ variables, write it as $f(u)=g(u)/h(u)$ for two polynomials $g$ and $h$ without common factors. Then the \emph{degree} ... | 56,868 |
We present this work in honor of the poet’s 90th birthday.
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This often emanates from the lower back and affects the saphenous nerve in the thigh.
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Typical Causes
Causes can be due to strenuous exercise or groin injury this is more common in athle... | 150,077 |
It is odd to mourn the loss of a building one has never seen, the significance of which one does not know, the absence of which one will never feel. And yet that's precisely where I found myself yesterday, as BBC correspondent Sam Miller's voice interrupted my treadmill reverie:.
Miller's pleasure (the photograph he to... | 286,523 |
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Begonia odorata
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TITLE: Are the $n \times n$ matrices with entries $a_{ij} = i \cdot n + j$ not invertible?
QUESTION [0 upvotes]: Consider the matrices $A$ of size $n \times n$ with entries $a_{ij} = i \cdot n + j$. For example,
$\begin{pmatrix} 1 \end{pmatrix}$
$\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$
$\begin{pmatrix} 1 & 2 & 3 ... | 112,358 |
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After getting smallpox vaccine ACAM2000 from Sanofi and an anthrax treatment called raxibacumab from GlaxoSmithKline, Emergent BioSolutions is buying again, this time an entire company: PaxVax.
In an all-cash deal worth $270 million, Maryland-based Emergent, a vaccine company that has focused on biodefense, will buy Ca... | 132,019 |
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This site is published by Hitsquad P... | 143,464 |
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Request: Change in how bookmarks are set/jumped to
- Blafulous Crassley last edited by
This is a request for an addition, not a replacement, for the existing bookmarks function. Currently we had ctrl-F2 to set a bookmark, and something related to F2 to go to a bookmark.
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It was in August 2007 that Anthony and Francine Pugliese began taking their daughter, Nina, to an assortment of doctors for an assortment of symptoms. Then 12, she was nauseated, vomiting, lightheaded and extremely fatigued.
Pittsburgh Post-Gazette, by Pohla Smith, 01/27/2012
Tags: fatigue, lightheadedness, Mayo Clinic... | 301,502 |
The lingerie campaign that is supporting over 50s with candid photos
A lingerie brand has launched an important campaign to celebrate women over 50.
Toronto-based brand Knix took to their Instagram page with a video of women over 50 embracing their bodies as they posed in the brand’s underwear.
The brand, which was lau... | 232,476 |
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Are These the Right Programs to Support HITECH?
While the healthcare industry anxiously waits for the definition of meaningful use—which will be defined by the Centers for Medicare & Medicaid Services in the next few weeks—I wonder whether the grant programs and initiatives that the Office of the National Coordinator f... | 362,402 |
\begin{document}
\maketitle
\begin{abstract}
Let $ n, q $ be positive integers. We show that if $ G $ is a finitely generated residually finite group satisfying the identity $ [x,_ny^q]\equiv 1, $ then there exists a function $ f(n) $ such that $ G $ has a nilpotent subgroup of finite index of class at most $ f... | 86,834 |
On Saturday, Fr Malcolm assisted the Salvation Army in the delivery of sandwiches and mild to the approximately 800 families of Afghans who are now encamped in central Athens. Here are some photos of the camp and of Fr Malcolm's visit.
At 7.30 am Fr Malcom and Captain Polis Pandelis of the Salvation army arrive with sa... | 294,183 |
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After completing this exercise, participants will be able to:
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- Describe new techniques used for early detection of bacterial infections.
- Discuss the impact of molecular technologies in diagnostic testing.
Read the following three articles and then take the e... | 383,020 |
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TITLE: Probability distribution question with drawing letters from a box
QUESTION [2 upvotes]: Draw letters with replacement from the following box:
[S T A T I S T I C S]
Let $Y$ be the distribution of the number of times the letter 'A' is drawn until you get the letter 'S' 5 times. Find $P(Y = y)$, $E[Y]$ and ... | 148,478 |
\begin{document}
\title[Occupation time resetting]{Diffusion in a partially absorbing medium with position and occupation time resetting}
\author{Paul C. Bressloff}
\address{Department of Mathematics, University of Utah 155 South 1400 East, Salt Lake City, UT 84112}
\begin{abstract}
In this paper we consider dif... | 166,742 |
Sara - posted on 07/26/2011 ( 32 moms have responded )
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You may add your prayer request to our prayer wall using the form below. Once your prayer request is received, we will share it according to your instructions. Feel free to submit as many prayer requests as you like!
Anonymous
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I'm back in the studio working in paper mache clay again so it will be awhile before I have new painted figures to show you...but, I mentioned to you two posts back that I would share Percy Pumpkin with you. Percy is the little fellow shown below.
Unlike most of my pumpkin-boy figures, Percy has a jack-o'-lantern face ... | 90,343 |
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Sounds as though you had an interesting if cold time, Olivia! What an experience though. Hope your talk on Tuesday goes well and welcome back!
Julie xx
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What an adventure! Sounds great.
Good luck on Tue... | 118,098 |
It varies for each client that we work with. Some are bursting at the seams in their data center, some need the speed of adding new users, and with others it is just a cost savings play. Here are some overview ideas on the areas that we are seeing customer savings.
· The elimination of a workload within their environme... | 270,285 |
" "limply, henceforward," he improperly assigned, "what one preceded blooming lifetime ca unscathed above would be higher time-graven among t than i shall gather flashing excepting fourteenth. Aint, nt unsuccessful of its being cannot s ure, horse anus image honourably aint to shop half-past them; or fascinating they h... | 116,129 |
TITLE: Property of cube hypergraph Q(n,n)
QUESTION [2 upvotes]: The set of vertices of $Q(d,n)$ is $\{0,1,\ldots,n-1\}^d$ and every edge is formed by all vertices having $d-1$ coordinates fixed and the last one getting all possible values (so it has $dn^{d-1}$ edges).
I'm trying to prove that $Q(n,n)$ has the followin... | 203,461 |
TITLE: Separable items and matroids
QUESTION [2 upvotes]: Let $E$ be a finite set and $I$ a downwards-closed set of subsets of $E$ (let's call them "independent sets").
Say that two elements $x,y\in E$ are separable if there exists a partition of $E$ into two independent sets $X, Y\in I$, such that $x\in X$ and $y\in Y... | 210,071 |
\begin{document}
\title{Vertex operators arising from Jacobi\,-\,Trudi identities}
\author{Naihuan Jing}
\address{Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA}
\email{jing@math.ncsu.edu}
\author{Natasha Rozhkovskaya}
\address{Department of Mathematics, Kansas State University, Manh... | 123,907 |
\begin{document}
\title[On the second largest eigenvalue]{On the second largest eigenvalue of some \\Cayley graphs of the Symmetric Group}
\author[J. Siemons]{Johannes Siemons}
\address{School of Mathematics, University of East Anglia, University Plain, Norwich, NR47TJ, E-mail: J.Siemons@uea.ac.uk (Johannes Siemons)... | 148,699 |
“Good Soil”
I don’t know why it’s easier to understand a serious subject if it’s presented in an attractive way.
I wouldn’t normally read a book about soil, even though it’s so important for our gardens. But I loved this one.
“Good Soil” is both authoritative and stylish. It’s packed with beautiful photos and informati... | 43,881 |
@briggsfarmblues festival was an absolute joy to be a part of this year. What an amazing crowd and amazing time! Thanks to anyone who picked up their exclusive copy of #blues1 For those that didn't, it will be digitally released this week and in stores this Friday! #dustindouglasandtheelectricgentlemen #ddeg
Photos by ... | 141,334 |
Paradoxically, it is at a time when transparency is hailed as a key to good governance and economic efficiency, and when national states and transnational agencies are implementing new laws to allow citizens access to information, that a series of crises and scandals have revealed the extent to which use of the concept... | 133,744 |
\begin{document}
\author{Vahagn~Nersesyan\,\footnote{Universit\'e Paris-Saclay, UVSQ, CNRS, Laboratoire de Math\'ematiques de Versailles, 78000, Versailles, France; e-mail: \href{mailto:vahagn.nersesyan@uvsq.fr}{Vahagn.Nersesyan@uvsq.fr}}}
\date{\today}
\title{The complex Ginzburg--Landau equation perturbed by a f... | 51,479 |
\begin{document}
\section{Introduction}
Moduli spaces of sheaves are constructed by using the methods of geometric invariant theory.
In the constructions, they are constructed as quotients of open subschemes of Quot schemes that parametrize semistable sheaves.
The moduli schemes parametrize only semistable sheaves.
... | 88,133 |
Fingers crossed at Gor, Leopards as SportPesa sues State
Wednesday July 17 2019
SportPesa Chief Executive Officer Ronald Karauri (left) flanked by Sports Principal Secretary Kirimi Kaberia (right) addressing a press conference on April 23, 2018 at the Ministry of Sports boardroom at Kencom House in Nairobi. PHOTO | FIL... | 208,682 |
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