text stringlengths 0 6.23M | __index_level_0__ int64 0 419k |
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{\bf Problem.} Triangle $ABC$ has vertices $A(0, 8)$, $B(2, 0)$, $C(8, 0)$. A horizontal line with equation $y=t$ intersects line segment $ \overline{AB} $ at $T$ and line segment $ \overline{AC} $ at $U$, forming $\triangle ATU$ with area 13.5. Compute $t$.
{\bf Level.} Level 5
{\bf Type.} Geometry
{\bf Solution.} T... | 37,315 |
\begin{document}
\selectlanguage{english}
\maketitle
\begin{abstract}
Tate objects have been studied by many authors. They allow us to deal with infinite dimensional spaces by identifying some more structure. In this article, we set up the theory of Tate objects in stable $(\infty,1)$-categories, while the literatur... | 212,363 |
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Spoilers Ahead
And just like that Once Upon A Time reminds us of the fact that Emma Swan is one of the greatest fictional characters in history – “Operation Mongoose” Parts I and II were a solid two hours of fantastic television. Between the gorgeous costumes, exceptional performances, and nerve wrecking storylines, it... | 383,972 |
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Steps Involved in Building Your Own Home
If you hire a home builder, it may be difficult to communicate the layout and other things you want in the house to the builder.
If you do not own a lot, choosing one is a good location can be a time-consuming process. After you are done choosing your lot you will have to prepar... | 266,924 |
\section{System Model}
\subsection{Signal Model}
The signal model is shown in Figure \ref{fig:SignalModel}. The symbols $\boldsymbol{x}[n]$,
$\boldsymbol{H}[n]$, $\boldsymbol{\eta}[n]$, and $\boldsymbol{y}[n]$ represent the transmit
signal, channel, noise, and receive signal of a system at time $n$. $M_T$ transmit and... | 72,320 |
Susanna Leinonen’s repertoire workshop aimed for professionals and vocational students will be moved to May.
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TITLE: Integrating an unknown function
QUESTION [1 upvotes]: I was wondering how you solve an integral with an unknown function in it such as:
$\int 4x(t)^3 dt$ ?
Do I integrate the outside then the inside, as in $4 \cdot \frac14 \cdot x(t)^4 \cdot t = x(t)^4 \cdot t$?
REPLY [2 votes]: You cannot do this. Jus to prov... | 175,094 |
\begin{document}
\title{Quantum Cluster Variables via Serre Polynomials}
\author{Fan QIN}
\address[]{Fan Qin, Universit\'{e} Paris Diderot - Paris 7, Institut de Math\'{e}\-ma\-ti\-que de Jussieu, UMR 7586 du CNRS, 175 rue du chevaleret, 75013, Paris, France}
\email{qinfan@math.jussieu.fr}
\begin{abstract}
For skew-s... | 77,182 |
\begin{document}
\begin{abstract}
Let $F$ be a finite unramified extension of $\Qp$ and $\rhobar$ be a
absolutely irreducible mod~$p$ $2$-dimensional representation of the absolute
Galois group of $F$. Let also $\ttt$ be a tame inertial type of $F$.
We relate the Kisin variety associated to
these data to the set of S... | 106,746 |
Customize Apache Zeppelin homepage
Apache Zeppelin allows you to use one of the notebooks you create as your Zeppelin Homepage. With that you can brand your Zeppelin installation, adjust the instruction to your users needs and even translate to other languages.
How to set a notebook as your Zeppelin homepage
The proces... | 311,523 |
TITLE: Strong measurability of composite functions
QUESTION [1 upvotes]: Let $f:X\to B$ be a function defined on a measurable space $(X,\Sigma)$ and taking values in a Banach space $B$. The function is called $\Sigma$-simple if it is of the form $f=\sum_{n=1}^N x_n 1_{A_n}$ with $A_n\in \Sigma$ for each $1\leq n\leq N$... | 178,958 |
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TITLE: If $T$ is an operator such that $T^2 = \lambda T$, and $\|Tx\| = \|x\|$ for some $x \neq 0$, then prove $\lambda = \pm 1$
QUESTION [0 upvotes]: Let $T$ be a linear transformation on $\mathbb R^n$ over $\mathbb R$ such that $T^2=\lambda T$ for some non zero $\lambda $ in $\mathbb R.$ If $\|Tx\|=\|x\|$ for some no... | 219,022 |
Average height in the Bigg Boss 6 house goes down!The average height in the Bigg Boss 6 house goes down following the entry of Jyoti Amge, the world's shortest woman.advertisement Post your comment Do You Like This Story? Awesome! Now share the story Too bad. Tell us what you didn't like in the comments Tags :Follow bi... | 261,287 |
Fuse Provides Singers With Shot At ‘Redemption’
Artists With Troubled Pasts Get Chance To Win Geffen Records Deal
By R. Thomas Umstead -- Multichannel News, 10/7/2008 10:54:00 AM
Fuse will give several down-on-their-luck singers a chance at music stardom in the new reality competition series Redemption Song, debuting O... | 318,703 |
TITLE: Prove even integer sum using induction
QUESTION [4 upvotes]: This is a homework problem, so please do not give the answer away. I must prove the following using mathematical induction:
$\forall n\in\mathbb{Z^+},\;2+4+6+\cdots+2n=n^2+n.$
This is what I have so far:
Let $P\left(n\right)$ represent $2+4+6+\cdots... | 167,593 |
TITLE: Is $\sin(e)$ rational or irrational?
QUESTION [24 upvotes]: We know that $\pi$ and $e$ are transcendental numbers. Here $\sin(x)$ is a real trigonometric function. We know that $\sin(\pi)=0$ which is rational.
Now I am wondering to know that whether $\sin(e)$ is rational or irrational. In addition, if it is irra... | 55,072 |
Lemon pepper marinated chicken recipes stove top
Recipes / Lemon pepper marinated chicken recipes stove top (1000+)
Chicken And Dressing Casserole
1/4 tsp pepper, 1 box Stove Top stuffing, (6 ounce.) cornbread, 4 x chicken breasts, cook
Chicken Stove Top Casserole
Chicken Stove Top Casserole, ingredients: 1 (6 ounce.) ... | 228,984 |
TITLE: Do electrons oscillate into muons just like electron-neutrinos into muon-neutrinos?
QUESTION [15 upvotes]: And if not, why? What is the difference to neutrinos oscillations?
REPLY [12 votes]: In principle, the charged leptons may oscillate as well but it would need rather strange initial states that could be ea... | 169,187 |
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\section{Motivations and principles of neural fields}
\label{S:first-wave-nfms}
\outline{
STAT MECH APPROACHES IN NEUROSCI, WHERE NFM COMES FROM
}
Models such as the Hodgkin Huxley equations have proved incredibly powerful
for elucidating the fundamental behaviour of
individual neurons or small networks of c... | 69,630 |
How Many Years do You Get for Drug Possession in Florida?
Penalties for drug possession can vary depending on the type of drug, whether there is intent to sell, or whether you have any priors. Drug possession is considered an offense by someone who did not manufacture, distribute, or sell the controlled substance. This... | 366,888 |
TV Review: Everything Happened Tonight on “Game of Thrones,” Nothing Happened on “Twin Peaks”
This is just a rant. But hey– two hours of my life are gone.
“Twin Peaks” was the usual WTF? Nothing happened, as usual. In the first 20 minutes, there was a lot of the two Agent Coopers– Dougie Jones and evilCoop. Don Murray,... | 285,190 |
The last greyhound track in London is facing extinction after the mayor, Sadiq Khan, agreed the site should be used for a new stadium for the football club AFC Wimbledon.
Plans for the Plough Lane development outline a 20,000-seat stadium, 602 homes and a leisure centre, which would be “of great benefit to Londoners an... | 60,854 |
\section{Examples}
\label{sec:examples}
In this section we give examples of eigenmaps, finite quasi-idempotents, and projectors related to $\FT_n$ for $n \le 3$. When we choose to display the differentials or chain maps
explicitly (and often we do not, for reasons of space), we do this with the diagrammatic calculus,... | 10,689 |
TITLE: Are there interesting combinatorial proofs which use more sophisticated grouping than sign-reversing involutions?
QUESTION [5 upvotes]: There are many combinatorial proofs which establish interesting identities by designing suitable "sign-reversing involutions" on a set of relevant signed objects.
For example, B... | 41,483 |
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Epic Gems for Badges on the PTR
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\begin{document}
\title[Conditions for recurrence and transience]{Conditions for recurrence and transience for one family of random walks}
\author{Vyacheslav M. Abramov}
\address{Monash University, School of Mathematical Sciences, Wellington Road, Clayton Campus, Clayton, Victoria-3800, Australia}
\email{vabramov126@... | 91,307 |
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\begin{document}
\title[Kato's Euler systems for the additive reduction case]{Remarks on Kato's Euler systems for elliptic curves with additive reduction}
\author[C.-H. Kim]{Chan-Ho Kim}
\address{(C.-H. Kim) School of Mathematics, Korea Institute for Advanced Study, 85 Hoegiro, Dongdaemun-gu, Seoul 02455, Republic of K... | 11,231 |
TITLE: Differential Equations: Finding the increasing/decreasing values of autonomous diff eq.
QUESTION [2 upvotes]: The question gives the differential equation:
$${dP\over dt} = 0.4P\left(1-{P\over 230}\right)$$
The textbook question is, "For what values of $P$ is the population (b) increasing and (c) decreasing."
I ... | 88,533 |
TITLE: The coherence theorem for monoidal categories
QUESTION [5 upvotes]: I am reading the coherence theorem of monoidal categories. However I am confused by the following paragraph on page 165 of the book "Categories for the working mathmatician"
$\bf{Here \ are \ my \ questions:}$
(1) He says that the diagrams bui... | 196,471 |
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DETROIT (WWJ/AP) – Officials say Wayne State University’s Shiffman Medical Library is closed through Monday as exterminators clean because of possible bedbugs.
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TITLE: Are all fields in the universe we know of quantum fields?
QUESTION [10 upvotes]: Are all fields in the universe we know of quantum fields?
Do all fields that exist must be inherently quantum in nature?
How about fields that are yet to be discovered (ie. a new field like Higgs field) , do they all have to be quan... | 162,704 |
Use Google Inbox on Samsung Galaxy
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英国代写-增加儿童保育会员的营销组合分析
英国代写-增加儿童保育会员的营销组合分析，这一分析的目的是开发一个可行的营销组合，这是基于营销目标。这是为了增加儿童保育会员的数量，并在此过程中获得消费者的惠顾。从竞争对手的分析中发现，该中心提供日托或学前教育项目。Luxchild将提供这两种模式的组合。产品、价格、地点和促销都是根据这些因素来制定的。市场细分是指中等收入群体。这些行动的执行和可行性将以这些因素为基础。这些产品和服务的组合将使家长感到自信，并将有品牌赞助的产品。这将用于本部门销售产品。将为学生提供灵活时间的单独套餐。家长可以选择他们认为必要的产品包装，并做出相应的选择。这些是唯一的产品，将提供给家长。具体的英国代写-增加儿童... | 309,093 |
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\begin{document}
\title[Markov chains and $\RR$-trivial monoids]{Markov chains, $\RR$-trivial monoids and representation theory}
\author[A. Ayyer]{Arvind Ayyer}
\address{Department of Mathematics, Department of Mathematics, Indian Institute of Science, Bangalore - 560012, India.}
\email{arvind@math.iisc.ernet.in}
\a... | 110,974 |
TITLE: Number theory proof about splitting a number
QUESTION [2 upvotes]: I have to prove that, given a number, if I split it into two numbers, sum them up and repeat the same thing with the resulting number, I will eventually get a one-digit number that doesn't depend on how I decided to split all the numbers. For ins... | 105,973 |
TITLE: Why is it important for a group to be closed under an operation?
QUESTION [4 upvotes]: In my undergrad group theory course, we have seen a lot of groups that are closed under a certain operation. I've also noticed a group now myself in my probability theory course with regards to sigma-fields. My question is why... | 92,755 |
The latest beneficiary of IBM's skills in integrating and managing energy smart grid projects will be Australian energy company Western Power. The company is already involved with close to 50 smart grid engagements around the global, including what it describes as seven of the 10 largest advanced metering infrastructur... | 104,586 |
My grandfather, Kristjan Bjornsson photographed and filmed from 2015-2017.
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Harvest Health & Recreation Inc. Acquires CBx Enterprises
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TITLE: The Wiener-Ikehara approach to the PNT
QUESTION [11 upvotes]: Was providing an alternative proof of the PNT one of the main impulses that led to the discovery of the Tauberian theorem of Wiener and Ikehara or the other way around?
In any case, do you know who was the first individual to realize that, in order to... | 197,261 |
\begin{document}
\begin{abstract}
We prove the endoscopic fundamental lemma for the Lie algebra of the symmetric space $U(2n)/U(n)\times U(n)$, where $U(n)$ denotes a unitary group of rank $n$. This is the first major step in the stabilization of the relative trace formula associated to the $U(n)\times U(n)$-periods o... | 97,721 |
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The Death of the Ball Turret Gunner
Students read and analyze a poem about a speaker's posthumous view of war, assess the purpose of an author's note and evaluate the effect of the point of view on the reader's response. They work in groups to discuss and analyze the poem. | 210,388 |
\begin{document}
\title[Global Minimal Models]{Global minimal models for endomorphisms of projective space}
\author{Clayton Petsche and Brian Stout}
\address{Clayton Petsche; Department of Mathematics; Oregon State University; Corvallis OR 97331 U.S.A.}
\email{petschec@math.oregonstate.edu}
\address{Brian Stout; P... | 156,911 |
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A genre defying sandbox game that combines elements from all of your favorite games in a procedurally generated universe. Read more
Funding Unsuccessful
This project's funding goal was not reached on December 20, 2013.
A genre defying sandbox game that combines elements from all of your favorite games in a procedurally... | 271,847 |
TITLE: Uniquness of multiplicative inverses in $\Bbb Z_n$ (or any abeliean monoid)
QUESTION [3 upvotes]: Assume that an integer $a$ has a multiplicative inverse modulo an integer $n$. Prove that this inverse is unique modulo $n$.
I was given a hint that proving this Lemma:
\begin{align}
n \mid ab \ \wedge \ \operato... | 169,159 |
This document, through its content, makes available to third party users the Regulations regarding the terms and conditions of use of the Magazin Marconf website (magazinmarconf.ro).
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TITLE: Gosper's unusual formula connecting $e$ and $\pi$
QUESTION [25 upvotes]: Wolfram MathWorld quotes (see equation $(26)$)
Gosper gives the unusual equation connecting $\pi$ and $e$ $$\sum_{n = 1}^{\infty}\frac{1}{n^{2}}\cos\left(\frac{9}{n\pi + \sqrt{n^{2}\pi^{2} - 9}}\right) = -\frac{\pi^{2}}{12e^{3}}\tag{1}$$
... | 145,055 |
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>
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\begin{document}
\title{Continuity at a boundary point of solutions to quasilinear elliptic equations
with generalized Orlicz growth and non-logarithmic conditions}
\author{Oleksandr V. Hadzhy, \ \ Mykhailo V. Voitovych}
\maketitle
\begin{abstract}
We consider the Dirichlet problem for quasilinear elliptic equ... | 187,485 |
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Controlling Particle Morphologies at Fluid Interfaces: Macro- and Micro- approaches
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TITLE: Total probability theorem and/or Bayes' theorem
QUESTION [1 upvotes]: A car insurance company has high-risk, medium-risk, and low-risk clients, who have, respectively, $0.04, 0.02,$ and $0.01$ of filing claims within a given year. The proportions of the numbers of clients in the three categories are $0.15, 0.25,... | 26,178 |
TITLE: Equivalent Definitions of Prime Subfield
QUESTION [7 upvotes]: I found two definitions for a prime subfield $K$ of a field $F$.
1. Wolfram $-$ $K$ is the subfield of $F$ generated by the multiplicative identity $1$ of $F$.
2. ProofWiki $-$ $K$ is the intersection of all the subfields, say $\{ K_c \}$, of $F$... | 71,607 |
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FESTOOL ROADSHOW 2018 Coming to Neu's! Tuesday, July 24 8:00 a.m. - noon. Get up close and in-depth with the entire Festool systemFind out more »
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Join us for Neu's Summer Sale Event on July 3... | 17,738 |
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\begin{document}
\title{\large \bf
Complex symmetric weighted composition operators}
\author{ Mahsa Fatehi}
{\maketitle}
\begin{abstract}
In this paper we find all complex symmetric weighted composition operators with special conjugations. Then we give spectral properties of these complex symmetric weighted composit... | 97,315 |
Reference:
Model:
Type:
Year:
LOA:
Beam:
Draft:
Construction:
Engine:
Accommodation:
Lying:
Price:
DYB4510
Beneteau 50
Sloop
1996
15.00m (49'2")
4.48m (14'7")
2.40m (7'9")
GRP
1 x 78hp Volvo Penta
10 berths in 4 cabins
Spain
125.000 € EU VAT paid
Description:.
ENGINE:
1 x 78hp Volvo Penta TMD 22 A
CAPACITIES:
Fuel: 500... | 343,642 |
Tech Tours Open House with Digital Back Office – November 15, 2012
November 15, 2012 EVENT HOSTED BY Digital BackOffice (DBO) Digital BackOffice (DBO) and The Connecticut Technology Council (CTC) cordially invite you to an Open House on November 15, 2012 at the Digital BackOffice data center located in Wilton, CT from ... | 25,672 |
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the suspect's release, and or her. While most trials were public, in 2010 approximately 30 percent of trials were closed proceedings. A panel of judges hears more serious or complex cases, and the most serious cases, including murder, go before a public jury. The law grants defendants the right. Citizens may appeal ca... | 288,539 |
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This special edition MT-G x Kikuo Ibe watch feature G-Shock founder Kikuo Ibe’s motto “Never Give Up” and “by Kikuo Ibe” on the bezel along with Ibe’s signature on the lower part of the watch.
The MTG-G1000.
This watch features Dual Dial World Time, which simultaneously shows the current tim... | 25,422 |
Tough L.A. Personal eye Mike Hammer gives a ride to Christina, a nervous younger woman he unearths jogging alongside the street one night time. His automobile is run off the road through unseen thugs. Hammer is knocked out and Christina is tortured in an unsuccessful try and get facts from her. They are placed again in... | 42,418 |
\begin{document}
\begin{center}
\texttt{Comments, corrections,
and related references welcomed, as always!}\\[.5em]
{\TeX}ed \today
\vspace{2em}
\end{center}
\title[Completeness results for metrized rings and lattices]
{Completeness results for metrized rings and lattices}
\author{George M. Bergman}
\email{gbergman@... | 186,529 |
TITLE: Quantum groups and deformations of the monoidal category of $U(\frak{g})$-modules
QUESTION [11 upvotes]: In the first answer for this question is writen, about the braided category of representation of the enveloping algebra $U(\frak{g})$, for $\frak{g}$ a semisimple Lie algebra:
The space of deformations of t... | 142,496 |
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When I think of a typical European village, I see multi colored half-timber houses, cobble stone streets, old shutters, and little shop windows. After travelling to a few European cities, I found myself craving this tiny storybook setting. I wanted to see fairytale Europe, and I figured France was a good place to start... | 301,324 |
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