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\begin{document}
\title{On Gaussian multiplicative chaos}
\author{Alexander Shamov\thanks{E-mail address: \protect\href{mailto:trefoils@gmail.com}{trefoils@gmail.com}}}
\date{July 16, 2014\\
revised Mar 08, 2016}
\maketitle
\noindent
\begin{lyxgreyedout}
\global\long\def\op#1{\operatorname{#1}}
\global\long\def... | 68,680 |
Frequently asked questions…
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TITLE: Basic integration as introduction to Fourier analysis: Showing orthonormality of the Fourier basis
QUESTION [1 upvotes]: I'm starting with Fourier analysis and in the first chapter the following exercise is stated:
Prove that if $n,m \geq 1$, we have
$\frac{1}{\pi} \int_{-\pi}^{\pi} \cos(nx) \cos(mx) dx$ equa... | 6,320 |
TITLE: Definition and Doubt: Universal $\mathrm{C}^*$-Algebras given by generators and relations
QUESTION [0 upvotes]: Let $A:=\mathrm{C}^*(G,R)$ be the (defined) universal $\mathrm{C}^*$-algebra generated by generators $G$ and relations $R$. As far as I can discern, there are two ways of defining such objects --- eith... | 112,106 |
TITLE: How often was the most frequent coupon chosen?
QUESTION [22 upvotes]: In the coupon collector's problem, let $T_n$ denote the time of completion for a collection of $n$ coupons. At time $T_n$, each coupon $k$ has been collected $C_k^{n}\geqslant 1$ times. Consider how often the most frequently chosen coupon, was... | 48,785 |
TITLE: Split numbers and linear independence of multiplicative inverses
QUESTION [1 upvotes]: My understanding is that the product of ijk may equal +1 when working with split-quaternions. What are good examples of systems defined such that the product of two (not three) linearly independent (i.e., not jj or kk) element... | 188,240 |
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There will be a record amount of highway and bridge construction in progress in Illinois this summer and next year, Gov. James Thompson announced Thursday.
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RISK
DROTT – EKTA – STAMPE
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Galleri Thomassen, Gothenburg. August 2012
FIVE BOOKS PHOTOGRAPHED, PRINTED AND BOUND IN FIVE DAYS
On the opening day (August 14, 2012) the gallery space was completely empty. All the material and tools needed to create the show had been d... | 403,383 |
\begin{document}
\selectlanguage{english}
\title[Topological and frame properties of certain pathological $C^*$-algebras
]
{Topological and frame properties of certain pathological $C^*$-algebras
}
\author{D.V. Fufaev}
\thanks{The work was supported by the Foundation for the
Advancement of Theoretical Physics and... | 179,884 |
TITLE: Find the probablity that at least 2 balls are placed in corresponding number boxes?
QUESTION [2 upvotes]: There are six balls and six boxes numbered 1 to 6.
So I have to find the probablity that at least 2 balls are placed in corresponding number boxes.
My approach.
Out of 6 balls , select 2 which will be placed... | 174,109 |
HOLLYWOOD -- State transportation officials on Wednesday said they were left with no choice but to select Sheridan Street and Interstate 95 as the site of a future park-and-ride lot, even though city commissioners rejected that location a year ago.
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TITLE: Prove the opposite angles of a quadrilateral are supplementary implies it is cyclic.
QUESTION [4 upvotes]: There is a well-known theorem that a cyclic quadrilateral (its vertices all lie on the same circle) has supplementary opposite angles.
I have a feeling the converse is true, but I don't know how to prove it... | 135,189 |
TITLE: Let $f:[0,1] \to R$ be continuous such that $|f(x)| \le \int_0^xf(t)dt$ for all $x \in [0,1]$.
QUESTION [3 upvotes]: Let $f:[0,1] \to R$ be continuous such that $|f(x)| \le \int_0^xf(t)dt$ for all $x \in [0,1]$. Then,
a. Such $f$ does not exist
b. $f(x)=0$ for all $x \in [0,1]$
c. $f(x)=c$ for all $x \in [0,1]... | 87,421 |
After not having been to Bratislava in a while, my schedule allowed me an afternoon/evening to make the trip into Slovakia to visit Lucy. The weather was beautiful, and a walk along the majestic Danube always take my mind back in time to my own experiences connected to this river as well as it huge role in European his... | 193,499 |
Updated: 25/5/2020 at 10:00 (Local time)
Data: Hong Kong Inter-National Airport
Was it hotter in Tsuen Wan last year? Was it colder? Data reported by the weather station on May 25, 2019. Such day as today a year ago.
You can see all the historical data and other dates in: | 28,824 |
TITLE: How can I prove that a function has a certain bound on an interval?
QUESTION [0 upvotes]: To preface this, I have had calculus, but not analysis. I am working on a discrete dynamical system which gives rise to the function
$f(x) = (-x^2-x+1)(e^{-x^2})$.
I need to show that $|f(x)|<1$ for all values $x > 0$. I k... | 212,160 |
\begin{document}
\maketitle
\begin{abstract}
For a group $G$ and a natural number $m$, a subset $A$ of $G$ is called $m$-thin if, for each finite subset $F$ of $G$, there exists a finite subset $K$ of $G$ such that $|Fg\cap A|\leqslant m$ for every $g\in G\setminus K$. We show that each $m$-thin subset of a group $G$... | 185,200 |
Startups and Securities
Startups and Security Laws
Small businesses need capital to startup, operate, and grow. Seeking capital from outside investors is instrumental when the entrepreneur lacks the ability or desire to fund the venture from personal assets.
Back To: BUSINESS TRANSACTIONS, ANTITRUST, & SECURITIES LAW
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After hearing the awesome reviews of the newest scary movie, Marvin and Henry devise a way to watch it without parental supervision.
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\begin{document}
\maketitle
\begin{abstract}
Space mission planning and spacecraft design are tightly coupled and need to be considered together for optimal performance; however, this integrated optimization problem results in a large-scale Mixed-Integer Nonlinear Programming (MINLP) problem, which is challenging to ... | 5,468 |
\begin{document}
\title[A Class of Distal Functions$\cdots$ ]{A Class of distal Functions on Semitopological
Semigroups}
\author{A. Jabbari }
\address{ Department of Mathematics, Ferdowsi University of
Mashhad, P. O. Box 1159, Mashhad 91775,
Iran}\email{shahzadeh@math.um.ac.ir}
\author{H.\ R.\ E.\ Vishki}
\address{Depa... | 148,267 |
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With iconic Californian routes such as the 101 and PCH, there’s another hwy worthy of a road trip: Highway 395 to the Eastern Sierras. I grew up taking HWY 395 from LA to June Mountain (Mammoth’s sister mountain), but as a high schooler focused on friends and snowboarding, I guess I never even bothered to look out the ... | 223,459 |
TITLE: $\mathcal V(y^2-x^2(x-\lambda))$ is rational
QUESTION [0 upvotes]: I want to show, that $$C_\lambda = \mathcal V(y^2-x^2(x-\lambda))$$ is rational. Where $\lambda$ is in a field $K$ and $\lambda \ne 0$. I am given that a parametrization of $C_\lambda$ is the inverse of $$\phi: C_\lambda \dashrightarrow \mathbb A... | 201,645 |
TITLE: How do I know that gauge fields are bosons?
QUESTION [1 upvotes]: QED and the Dirac equation have field operators $\psi$ interact with a gauge field $A^{\mu}$.
We identify $\psi$ as a fermionic field and $A^{\mu}$ as a gauge boson - the photon.
Do we or can we know that one is a fermion and the other is a boson... | 144,451 |
TITLE: Which of the following properties does a process with independent increments really admit?
QUESTION [2 upvotes]: Let $E$ be a normed $\mathbb R$-vector space and $(X_t)_{t\ge0}$ be an $E$-valued adapted process on a filtered probability space $(\Omega,\mathcal A,(\mathcal F_t)_{t\ge0},\operatorname P)$ such that... | 36,519 |
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TITLE: Fields for which there exist multivariable polynomials vanishing at single specified point
QUESTION [9 upvotes]: For which fields $k$ does the following hold for all $n \geq 1$? Let $(a_1,\ldots,a_n) \in k^n$. Then there exists a polynomial $f(x_1,\ldots,x_n) \in k[x_1,\ldots,x_n]$ such that $f(a_1,\ldots,a_n)... | 43,905 |
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Another breakthrough - making sense out of the non-sensical.
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What are the health benefits of cosmetic dentistry?
Most of us have something we’d like to change about our smile if we could, but maybe we hesitate because it seems like an impractical expense. When it comes to cosmetic dentistry in Seattle, WA, however, some treatments can actually improve your wellness—both your ora... | 311,873 |
\begin{document}
\numberwithin{equation}{section}
\title[Counting the minimal number of inflections of a plane curve]
{Counting the minimal number of inflections of a plane curve}
\author[G. Nenashev]{Gleb Nenashev}
\address{ Chebyshev Laboratory, St. Petersburg State University, 14th L... | 92,351 |
TITLE: Weak*-closure of finite rank operators on dual space
QUESTION [14 upvotes]: Given a Banach space $X$, we consider the space $B(X^*)$ of bounded, linear operators on $X^*$ with the weak*-topology from its canonical predual $B(X^*)_*=X^*\hat{\otimes}X$. What is $\overline{F(X^*)}^{wk*}$, the weak*-closure of the f... | 218,911 |
TITLE: How many sequences of $k$ elements in ascending order from a set $S$?
QUESTION [0 upvotes]: Suppose I have a set $S = \{1,2,\ldots,n\}$. How many sequence $r$ contains $k$ elements from set $S$ in ascending order if:
$r$ contains repetition, i.e. an element in $S$ can appear several time in $r$.
$r$ does not co... | 129,441 |
\begin{document} \maketitle
\begin{abstract}
This paper concerns towers of curves over a finite field with many
rational points, following Garcia--Stichtenoth and Elkies. We present
a new method to produce such towers. A key ingredient is the study of
algebraic solutions to Fuchsian differential equations modulo $p$.... | 103,533 |
TITLE: How to generate the icosahedral groups $I$ and $I_h$?
QUESTION [1 upvotes]: The icosahedral groups $I$ with 60 elements and $I_h = I \times Z_2$ are also three dimensional point groups. However, ever unlike other point groups, it seems there is rarely reference to give their representation (e.g., matrix represe... | 198,540 |
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Accession date: 2013-07-10
Filename: JEL_IMG0593.JPG
Slide Index: PHeliotrope flower underside showing hair
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Collection: Wildflower Center Digital Library
Original Format: Digit... | 317,971 |
If scientists have learned anything new about the genetics of rare species in the past three decades, the U.S. Fish and Wildlife Service may not want to hear about it.
In
January, H. Dale Hall, the Service’s Region 2 director,
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species: Scientists are to use o... | 159,591 |
Wow, after just one day and over 500 votes, it seems like you all, rather overwhelmingly, would like to see the AHL tournament go first. Still, just to let you all know what you're voting on, I'm posting the logo pools for both the AHL and ECHL.
AHL
There sure are a lot of red logos up there. But those 29 make up the A... | 397,607 |
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The bed is not complete without finding the right beddings to go with it. Although the bed sheets, blankets and duvets are essentials for a good night sleep, the mattress is the most significant of the beddings. Therefore finding the ideal mattress to use is vital to ensure you get returns for your investments. You do ... | 213,489 |
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TITLE: Galois extension and prime number.
QUESTION [4 upvotes]: Let $G$ be a finite group with order $n$, i.e., $|G|=n$. Show that there is a prime number $p\geq n$ and a finite Galois extension $L/K$ with $Gal(L/K)\approx G$ and $[K:\mathbb{Q}]=p!/n$.
Honestly, I have no idea!
REPLY [1 votes]: Consider $G$ as a subg... | 169,867 |
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$400,000$280/sf
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After a decade with Nike Golf, Mike McKennon started his own company, McKennon Golf Bag Company, making leather golf bags in his basement. Now he's making them for presidents.
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\begin{document}
\begin{abstract}
In this article we prove certain results comparing rationality of algebraic cycles over the function field of a quadric and over the base field.
Those results have already been proved by Alexander Vishik in the case of characteristic $0$, which allowed him to work with algebraic cobo... | 178,169 |
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TITLE: Probability Unknown Distribution
QUESTION [0 upvotes]: Suppose that the mean for some data is 75 mm and the standard deviation is 10 mm. The distribution for this data is not necessarily normal.
Is it possible to determine the probability of the distance being greater than 73 mm?
REPLY [1 votes]: Expanding on m... | 115,635 |
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Final Results (PDF)LONG BEACH, Calif. - The weekend at the Beach Invitational for DePaul track & field ended with multiple Blue Demons recording personal bests on Saturday.DePaul’s 4x100 teams posted big performances on Saturday. On the women’s side, Jessica Watkins, Alexia Harvey, Laura Edwards and Shayna Nwokenkwo fi... | 120,935 |
UH Manoa receives approval for three bachelor of science degreesUniversity of Hawaiʻi
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In part one of Crystal Energy we discussed the fundamental principles at work when we bring crystals into our energy field. We talked about the importance of engaging our intuition to choose specific crystals to work with on any given issue, be it physical, emotional or spiritual.
Now, let’s have a look at some other i... | 35,252 |
\begin{document}
\title{On symmetric CR geometries of hypersurface type}
\author{Jan Gregorovi\v c and Lenka Zalabov\' a}
\address{J.G. Faculty of Mathematics, University of Vienna, Oskar Morgenstern Platz 1, 1090 Wien, Austria; L.Z. Institute of Mathematics, Faculty of Science, University of South Bohemia, Brani\v sov... | 129,445 |
TITLE: Examples and further results about the order of the product of two elements in a group
QUESTION [49 upvotes]: Let $G$ be a group and let $a,b$ be two elements of $G$. What can we say about the order of their product $ab$?
Wikipedia says "not much":
There is no general formula relating the order of a product $ab... | 120,242 |
It happened around 3:15pm in the 4200 block of Lavender at Cavalcade in northeast Houston.
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The driver did not realize his cousin was there and backed out, pinning him between the gua... | 165,333 |
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If you're anything like me, my LinkedIn is constantly full of empowering and ... | 350,546 |
Renderings Released of High Rise on Queens Boulevard Containing Regal Cinemas
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New Renderings for Crown Heights Bedford Union Armory Redevelopment Have Been Released
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You searched for: Political Geography United States Remove constraint Political Geography: United States Topic Foreign Policy Remove constraint Topic: Foreign
2. The Pathologies of Power: Fear, Honor, Glory, and Hubris in U.S. Foreign Policy, Christopher J. Fettweis
- Publication Date: 01-2015
- Content Type: Jo... | 45,502 |
\begin{document}
\maketitle
\begin{abstract}
The main aim of this paper is to characterize ideals $I$ in the power series ring $R=K[[x_1,\ldots,x_s]]$ that are finitely determined up to contact equivalence by proving that this is the case if and only if $I$ is an isolated complete intersection singularity, provided ... | 188,063 |
The hack works efficiently for both Android and iOS version of the game. The addictive mega- hit Temple Run is now out for the Amazon Appstore! Fire and water prove opposites attract when they team up to explore the ancient Forest Temple. Stone Stephen Brown the program centered on a temple that was " filled with lost ... | 392,235 |
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University of Nevada, Reno
You are here: Nevada Home > Nevada Today > News @ Nevada > 2007 News Stories > February > National Student Exchange gives students new insight
Media professionals interested in reporting on university-related stories are encouraged to visit the media newsroom.
February 20, 2007
Studying abroa... | 99,110 |
Re: Sean Hannity Says 98% of Republican Men Would Allow Bush To Rape Their Ass
- From: Deaf Power <deaf@xxxxxxxxx>
- Date: Thu, 01 Nov 2007 22:37:37 -0400
On Thu, 01 Nov 2007 22:00:29 -0400, Horatio Fudruckerton
<nospam@xxxxxxxxxxx> wrote:
On Wed, 31 Oct 2007 23:45:54 -0400, Clint Hunter <ciceroi@xxxxxxxxxx>
wrote:
Ano... | 163,917 |
TITLE: How to find an orbit in implicit form for a first order non-linear system of differential equations?
QUESTION [0 upvotes]: How to find an orbit in implicit form for a first order non-linear system of differential equations? Say $x'= x - xy$, $y'= y - 2xy$ is our system. How do we find an orbit of it in an implic... | 26,257 |
TITLE: breadth of join-semilattice
QUESTION [2 upvotes]: On page 16, Lattice Theory: Foundation, George Grätze(2011),
1.19 Show that a join-semilattice $(L; \lor)$ has breadth at most $n$, for a
positive integer n, iff for every nonempty finite subset $X$ of $L$, there
exists a nonempty $Y \subseteq X$ with at mos... | 1,784 |
London:
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Large one double bedroom ground and first floor flat set within moments to Baker Street and Marylebone Train Stations. Large reception room, fully fitted kitchen and modern bathroom.
Beautifully prese... | 133,037 |
TITLE: Why Laplace-Beltrami operator is so popular for 3D shape analysis.?
QUESTION [1 upvotes]: Apart from providing orthogonal basis in form of eigen functions what is the reason that Laplace-Beltrami operator is so popular in shape and point cloud processing.
REPLY [1 votes]: Because it provides many useful propert... | 12,721 |
TITLE: Vector Space - how to visualize it for understanding?
QUESTION [3 upvotes]: I read on Wikipedia about vector spaces, but I don't understand them in a way that I can visualize the vector spaces in my head. During the process of understanding, I had several concepts in my head and I am at a point now, where I am t... | 32,084 |
Abstract
Localising activity in the human midbrain with conventional functional MRI (fMRI) is challenging because the midbrain nuclei are small and located in an area that is prone to physiological artefacts. Here we present a replicable and automated method to improve the detection and localisation of midbrain fMRI si... | 373,261 |
TITLE: What are some examples of these kinds of commutative semirings?
QUESTION [1 upvotes]: What are some examples of commutative semirings such that the following hold?
Multiplication is idempotent i.e. we have $xx=x$ for all elements $x$.
Addition is not idempotent i.e. there is at least one element $x$ with $x+x \... | 150,403 |
TITLE: How do you complexify vector spaces?
QUESTION [1 upvotes]: Suppose you have a linear map $T: \mathbb{R}^2 \to \mathbb{R}^2$ given by $$Tv = \begin{bmatrix}
a &b \\
c & d
\end{bmatrix}v$$
So, if I understand correctly complexification (of the domain and the target space and the map) means $\tilde{T}: \mathbb{R}^... | 206,375 |
Column 425
Mr. Dalyell : To ask the Secretary of State for Foreign and Commonwealth Affairs, pursuant to the letter from the Minister for Overseas Development of 18 February to the hon. Member for Linlithgow, what is the outcome of the inquiries by the British embassy in Paris about injury to the rain forest in French ... | 275,117 |
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109 North Main Street
Sweeny, TX 77480
Sweeny, Wingate Waterboro & Barrow, P.A. Litigation Defense Law. With Sweeny, Wingate & Barrow, P.A. Saint-Johnsbury you get an attorney committed to ... | 302,347 |
African sculpture
James Johnson Sweeney
Published
1970
by Princeton University Press in [s.l.]
.
Written in English
Edition Notes
African sculpture [loan exhibition] circulated by the International Exhibitions Foundation, by William Buller Fagg. Published by International Exhibitions Foundation in [Washington. Written ... | 9,389 |
If a stronger immune system is what you seek, consider a spell of Biodanza each week! Regular Biodanza can offer restoration and stabilisation for those with weak immune systems. The founder of read more
Dissolving stress
Eight benefits of dancing Biodanza
Fiona’s Biodanza story
Your instincts are the key to your own h... | 18,951 |
Flyff Iblis
Please add the Flyff Iblis Philippines server… I really want to try this game using your app. I hope you can add this game to your future update. Thanks
- LeoPride moderators
Is this spam?
I’m confused, as we don’t offer downloads or server search functions at all. | 125,547 |
Likestory.net gathered for you 13 best cooking tips. Read them and pleasantly surprise your loved ones with delicious dinner.
1. Just add the two pinches of instant coffee to the sauce and it will gain incomparable taste.
2. To milk for a long time remain fresh, add a pinch of salt.
3. You only need 2 apples. Slice the... | 253,955 |
In an excellent review blasting the false dichotomy of more versus less regulation (for additional commentary, see Amanda and Ezra Klein), economist Dean Baker proposes that the government get into the drug development business directly:
.
Mind you, NIH doesn’t have to be the agency to do this, although they would be t... | 343,146 |
All images copyright © 2002-2020 George Widman Photography LLC, unless otherwise noted. All text and images appearing on any pages of this Web site are property of George Widman Photography LLC, and are protected by United States and international copyright laws. No images may be used in any form without written permis... | 85,083 |
TITLE: Who is $r$, $t$ and $s$ in this complex variable context?
QUESTION [0 upvotes]: I was trying to understand Nitsche's Elementary Proof of Bernstein's Theorem on Minimal Surfaces (referenced on this question) but on the very first page, the statement reads:
Let the function $z = z(x,y)$ be twice continuously diffe... | 138,944 |
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I received a confirmed report that they were simply a new style that Adidas was testing and will continue to test throughout spring ball. Like some of the styles we saw last year in spring/fall camp, they may work their way into games if they receive enough support from players and ... | 199,552 |
Cubs fever may be hitting the town now with their rush towards a possible National League Central crown. But apparently "cup fever" hit the town earlier this summer. That's when residents purchased souvenir Silver Hawks cups at McDonald's that helped raise more than $40,000 for the Ronald McDonald Family Room at Memori... | 150,289 |
1739 West Nursery Road, LINTHICUM HEIGHTS, MD 21090
The hotel is now 100PCT Non-Smoking Ideally located adjacent to the airport grounds our ultra-modern Hilton Baltimore hotel is only 4 miles from the Maryland Live Casino 10 miles from the shopping and entertainment venues of the Inner Harbor and 30 miles from Washingt... | 51,920 |
TITLE: There is something wrong in this contour integral
QUESTION [1 upvotes]: I am trying to prove that $$I=\int ^{\infty}_{-\infty}{\frac {dy} {1+y^2} \frac {s+\cosh {(\pi y)}} {s^2+2s\cosh {(\pi y)} +1}} =\frac {\pi} {s-1}-\frac {\pi} {s\ln {s}}$$ One easily can set any real value to $s$ (providing $s>1$) and calcul... | 112,049 |
• Highlight: Running back Ronnie Hillman is known as a speedster, not a bruiser, but he got the better of safety Duke Ihenacho during a red-zone series.
Hillman caught a dump pass from Peyton Manning, then had a full head of steam as he met a flat-footed Ihenacho near the goal line. Hillman knocked Ihenacho on his keis... | 268,002 |
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