text stringlengths 0 6.23M | __index_level_0__ int64 0 419k |
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TITLE: Does Peskin & Schroeder Eq. (4.26), $U(t_1,t_2)U(t_2,t_3) = U(t_1,t_3)$ imply $[H_0,H_{int}] = 0$?
QUESTION [8 upvotes]: Peskin & Schroeder equation (4.17) define the operator,
\begin{equation}
U(t,t_{0})~=~e^{i(t-t_{0})H_{0}}e^{-i(t-t_{0})H} \tag{4.17}
\end{equation}
where
$$H~=~H_0+H_{\text{int}}\tag{4.12}$$ ... | 145,316 |
Studies have proven time and time again that travelers who are searching for information related to their trip are not going to scroll past the first two or three listings on the search engine results page. In most cases, they click the first link or two that they find, and never go back to the results page.
This means... | 160,605 |
Enviroclean Plant Based Heavy Duty Cleaner – Oven & BBQ is a Powerful grease cutting cleaner. Cleans ovens, barbecues, grease from driveways, machinery, grime and any area where powerful cleaning is required. Dilute to clean family car.
Ingredients
Purified water, plant based non ionic surfactants, anionic surfactants,... | 55,524 |
Someone brought in Jerusalem Artichoke (Sun Choke) tubers. I have never grown - for that matter, never even tasted - Jerusalem Artichokes before, but after talking with Brian of Inspiration Farm, am convinced that I want to establish them in my gardens. Two small tubers went in my tote - one for Garden Nbr. 01 and the ... | 35,618 |
TITLE: Symmetric tensor products of irreducible representations
QUESTION [8 upvotes]: I wonder if there is a way to compute the symmetric tensor power of irreducible representations for classical Lie algebras: $\mathfrak{so}(n)$, $\mathfrak{sp}(n)$, $\mathfrak{sl}(n)$.
The question is motivated by reading
"Introductio... | 219,990 |
TITLE: Formal definition of Green function
QUESTION [1 upvotes]: The formal definition of a Green's function is:
\begin{equation}
L(\mathbf{r})G(\mathbf r,\mathbf r^\prime) = \delta(\mathbf r-\mathbf r^\prime), \tag 1
\end{equation}
where L is a time linear differential operator.
Now I am reading the book by E. L. Eco... | 101,901 |
The firearms community recently has been buzzing with discussion about G2 Research’s new 9mm round marketed for self defense: R.I.P. Ammo.
Even before getting the round to the range, the R.I.P. projectile makes quite a first impression. This lead-free hollow point is made completely of copper. Each projectile is precis... | 158,397 |
TITLE: Difference between $GL(4,\mathbb{C})$ and $M(4,\mathbb{C})$
QUESTION [1 upvotes]: What is the difference between the notations $GL(n,\mathbb{C})$ and $M(n,\mathbb{C})$ as mentioned here? I couldn't find the latter notation when I googled it.
I know that the former is a group: General linear group of degree $n$ c... | 2,840 |
TITLE: Find the probability that number 9 is third smallest number.
QUESTION [0 upvotes]: Number 1 through 14 are given and 5 numbers are selected at random. Find probability that number 9 is third smallest number. Using the explanation here: Find probability of 4th smallest number?
The solution is coming out to be abs... | 199,571 |
Forgotten Food
It’s been almost a year that we’ve been back in San Diego after nine less-than-stellar months in Phoenix. Imagine my surprise when our old realtor gave Scott two packages when Scott was in Phoenix on a recent business trip. Apparently our realtor had collected the mail shortly after we moved but forgot t... | 95,365 |
TITLE: Proving $f^{-1}$ is concave.
QUESTION [4 upvotes]: Let $f:(a,b)\to \mathbb R$ be an invertible, non-decreasing convex function. Prove $f^{-1}$ is concave. There are all these theorems and rules but I can't make it there... Would appreciate your help.
REPLY [1 votes]: Here is a proof that is probably not the mos... | 94,786 |
TITLE: Ito Integral surjective?
QUESTION [3 upvotes]: Let $\Phi\in\mathcal{L}\left(M\right)$ if and only if $\Phi$ is a real predictable process and for every $\left\Vert \Phi\right\Vert_{2,t,M}:=\mathbb{E}\left[\int_{0}^{t}\Phi_{s}^2 d\langle M\rangle_{s}\right]^{\frac{1}{2}}<\infty$.
And let $\mathcal{M}_{2}$ be the ... | 80,271 |
TITLE: Transmission lines...which one is high? potential or potential difference?
QUESTION [0 upvotes]: The electric potential at generating station is 11,000 V...why such high potential is generated there?
From generating station it is transferred to local station...is there any electric potential at the local station... | 55,683 |
{\bf Problem.} Let $P(x) = 0$ be the polynomial equation of least possible degree, with rational coefficients, having $\sqrt[3]{7} + \sqrt[3]{49}$ as a root. Compute the product of all of the roots of $P(x) = 0.$
{\bf Level.} Level 4
{\bf Type.} Intermediate Algebra
{\bf Solution.} We recognize the number $\sqrt[3]{7}... | 168,597 |
\begin{document}
\title[On the continuity of maximal operators of convolution type at the derivative level]{On the continuity of maximal operators of convolution type at the derivative level}
\author[Gonz\'{a}lez-Riquelme]{Cristian Gonz\'{a}lez-Riquelme}
\subjclass[2010]{26A45, 42B25, 39A12, 46E35, 46E39, 05C12.}
\ke... | 5,244 |
Dong Energy Substation Planning Model
1:50 scale planning model of a substation being constructed by Dong energy.
We created a low budget R.O.C planning model used as a visual aid for for on-site day to day briefing.
This model featured a non-slip scratch resistant print, along with high quality construction vehicles.
... | 237,661 |
\begin{document}
\title{Cascaded Channel Estimation for IRS-assisted Mmwave Multi-antenna with Quantized Beamforming}
\author{\IEEEauthorblockN{Wenhui~Zhang, Jindan~Xu\IEEEauthorrefmark{0}, \IEEEmembership{Student Member,~IEEE}, Wei~Xu\IEEEauthorrefmark{0}, \IEEEmembership{Senior Member,~IEEE}, \\
Derrick~Wing~Kwan~N... | 12,576 |
TITLE: Puzzle: Minimum total distance to few points on the same straight line
QUESTION [1 upvotes]: You have 9 friends living on a straight street in houses: A,B,C,..,H,I
The distance from the beginnig of the street(from the left) for each house is:
A– 1.1 km
B – 2.3 km
C – 3.0 km
D – 4.2 km
E – 5.... | 207,492 |
\documentclass[11pt,a4paper]{article}
\usepackage[T1]{fontenc}
\usepackage{isabelle,isabellesym}
\usepackage{tikz}
\usetikzlibrary{arrows}
\usepackage{amssymb}
% Bibliography
\usepackage[authoryear,sort]{natbib}
\bibpunct();A{},
% this should be the last package used
\usepackage{pdfsetup}
% urls in roman style, theo... | 215,929 |
TITLE: Obstructions to Picard-graded groups of maps
QUESTION [8 upvotes]: Suppose $(C,\odot,\Bbb I)$ is an additive category with a compatible symmetric monoidal structure and $Pic(C)$ is the group of isomorphism classes of objects which have an inverse under $\odot$. For $\alpha \in Pic(C)$, we would like define the $... | 72,643 |
Intersecting Lines & Life
Doreve Nicholaeff’s thoughtful design creates homes of distinction, including her own.
An examination of the Cape’s coastline reveals some spectacular architecture that is ingeniously conceived to best take advantage of the views, manage the shifting topography and settle into the surrounding ... | 370,421 |
Northrop Grumman delivers first EMD APG-83 scalable agile beam radar January 6, 2015 Northrop Grumman No Comments Northrop Grumman's APG-83 SABR was competitively selected by Lockheed Martin for the F-16 radar modernization program to support U.S. and Taiwan Air Force F-16 upgrade programs. Within 16 months of the cont... | 201,924 |
\begin{document}
\maketitle
\begin{abstract}
Minimal algebraic surfaces of general type $X$ such that $K^2_X=2\chi(\mathcal{O}_X)-6$ are called Horikawa surfaces.
In this note the group of automorphisms of Horikawa surfaces is studied. The main result states that given an admissible pair $(K^2, \chi)$ such that $K^2=... | 33,529 |
\section{Introduction}\label{s:intro}
In many science and engineering problems, parameters of interest cannot be observed directly; instead, they must be estimated from indirect observations. In these situations, one can usually appeal to a \textit{forward model} mapping the parameters of interest to some quantities th... | 58,382 |
TITLE: Special bound of net and inequality
QUESTION [3 upvotes]: Suppose that $A$ is a finite dimensional unital commutative Banach algebra and $A\hat{\otimes} A$ is its Projective tensor product by itself. Define $\Delta:A\hat{\otimes} A\to A$ with
$$\Delta(\sum_{i=1}^\infty a_i\otimes b_i)=\sum_{i=1}^\infty a_i b_i.... | 165,803 |
TITLE: How do you integrate $\cos(x^n)$, specifically for $n=-1$?
QUESTION [4 upvotes]: How does one integrate $\cos(x^{-1})$?
I understand that the function is not defined at zero, but it is well defined, continuous, and real over the rest of $\mathbb{R}$. Nonetheless, when I put $\int \cos(x^{-1})\; dx$ into a compu... | 128,493 |
Use this form to get a username and password!
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.
8 comments:
This story is pure genius. It's good that you guys have a sense of humour about it!
P.S.
And Toronto loves you too.
Hilarious.
Stupid Frat boys.
It makes me warm and fuzzy inside to know they bought your merch.
Love the blogging, keep it up.
On Last.fm the event was listed as Ladyhawke at Call The Office ... | 255,268 |
How to create a moving checklist
Are you planning to move soon and you need some guidance on how to be organized during the process? Don’t worry – we’ve got you. Zippy Shell DMV has decided to help you create a moving checklist that will make your move easier. Creating a moving checklist is an integral part of the movi... | 227,930 |
′s Jay Levine reports.
Which was completely unexpected coming from the guy who probably never mentioned that idea to his fellow Chicago goon- Barry.
But the results of my poll may still come through which are as of this writing:
- A White House Bailout- 19 votes @41%
- Lean on the Unions- with one joker voting on that ... | 403,709 |
The following guides provide information and guidelines for creating annotated bibliographies. Most also include sample annotated bibliography entries in a variety of styles.
A Purdue University Online Writing Lab (OWL) guide.
Provides an overview of annotated bibliographies as well as sample annotations in APA, Chicag... | 264,030 |
David Cuff
Team-mate and championship rival at David Leslie Racing in Formula Vauxhall Junior
"I did OK in the championship that year, but Dario had that spark of speed - something extra that made you think, wow.
"I was happy to finish second or third to notch up the points because I was little bit older, but the writi... | 329,031 |
TITLE: systole and residualy finite fundamental group
QUESTION [1 upvotes]: it is well known that if the fundamental group of a manifold M is residualy finite then for every point p in M and every epsilon positive there is a finite covering such that for a point q in the fiber over p we have systole(q)>epsilon . can ... | 28,122 |
Un.
The functional units of the switchgear are guaranteed arc proof in accordance with the IEC 62271-200 Standards, appendix AA, class A accessibility, criteria 1 to 5.
All the installation, operation and maintenance operationscan be carried out from the front of the unit. The switchgear and the earthing switches are o... | 57,700 |
.
What I can say in response to this is that this isn’t something that I am embarking upon lightly and the idea has been germinating in my mind for very long time – in fact almost ever since I came up for air after learning that all my savings had gone west in a disastrous Aussie property investment scan last year.
If ... | 112,625 |
We: ‘If you’re looking to buy a new mattress, remember that it should last for years to come, without compromising the quality of your sleep or your health.
‘Don.
Some of the cheapest mattresses they’ve tested have been awarded Best Buy status, whilst the most expensive mattress in our test only got 3 out of 5 stars fo... | 43,187 |
TITLE: Newton's shell theorem in 2d
QUESTION [2 upvotes]: I was wondering how to prove the analog of Newton's shell theorem for 2 dimensions, in which gravity obeys an inverse-linear law. Meaning:
that an anywhere inside a circle, the gravitational field due to the circle is 0
that outside the circle, the gravitation... | 104,165 |
The following is a list of used acura 2-door cars $16,200 - $23,500
MPG 24 / 31
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It is almost the end of January and 2010 feels like it left us yesterday. Truly it is accurate that time flies faster the older you get. Which by this time next week will be 30. I won’t pretend I haven’t started to freak out just a little bit. My life certainly has not followed the trajectory that I intended it to by t... | 418,033 |
TITLE: Partial Trace of Density Operator
QUESTION [0 upvotes]: To find the reduced density matrix, $\rho_A$, of a composite quantum system with two subsystems A and B, I've seen that the procedure is to take the partial trace of the full density matrix, $\rho_{AB}$, w.r.t the states of subsystem B;
$$ \rho_A = tr_B(\rh... | 145,440 |
\begin{document}
\title{A non-geometric representation of the Dirac equation\\ in curved spacetime}
\author{Dmitri Vassiliev}
\address{Department of Mathematics,
University College London,\\ Gower Street, London WC1E 6BT, UK\\
E-mail: D.Vassiliev@ucl.ac.uk\\
www.homepages.ucl.ac.uk/$\sim$ucahdva/\\
Supported by EPSRC... | 30,276 |
10 August 2011
London
Life and art intersected interestingly last night as I dodged the unofficial evening curfew imposed in London, currently paralysed and trembling with fear in the wake of three nights of citywide riots, and headed to see a revival of Caryl Churchill’s 1982 play Top Girls. This production, directed ... | 201,998 |
TITLE: Can any computable real number be represented as the sum of some integer plus some rational number times some other computable real number?
QUESTION [2 upvotes]: It's known that imaginary numbers can be expressed as vectors such as $\alpha + \beta i$. My question is: Can you represent a computable real number wi... | 110,985 |
Here are new additions to A Collection Of Useful Posts, Articles & Videos On Race & Racism – Help Me Find More:
7 findings that illustrate racial disparities in education is from The Brown Center.
White kids, rap lyrics and the question of racism is from The L.A. Times.
When Black and White Children Grow Apart is from ... | 356,243 |
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TITLE: Solving a simple (but with multiplication between variables) system of 3 equations
QUESTION [2 upvotes]: Here is a system of 3 equations with 3 unknowns $a$, $b$ and $c$.
$\begin{cases}
a^2+\sigma \cdot a\cdot b + \sigma \cdot a \cdot c = n_1 \\
b^2+\sigma \cdot a\cdot b + \sigma \cdot b \cdot c = n_2 \\... | 201,437 |
Day 5: Victoria walks from Big Brother 2016
Victoria has decided to leave the Big Brother House.
Channel 5 has today confirmed that Victoria – who entered with twin sister Emma – has decided to leave the House following a dramatic evening.
In a statement released to the the press, they said: Victoria has this morning d... | 33,588 |
Franklin NJ: Tree Removal
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Find Ionia home values. Contact us today for an instant home value report or a full 1004 appraisal in Ionia or anywhere nationwide.
The Ionia appraisal looks at many variables to value the Ion Ionia appraisal will go on to examine even more details.
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But in all seriousness, I have just been busy! Work, Brant and baseball, watching sister's kids, planning vacations, planning baby showers, planning wedding showers, preparing for the wedding I'm in coming in June, spending good quality time with friends, working out and losing weight, preparing for Bible study, creati... | 126,705 |
This weekend I stepped in it. I made the mistake of challenging Jim Groom in public on his casual claim that “the open web kicks learning management systems (LMS) asses when it comes to teaching and learning in higher ed”. Oh, I meant what I said, and in a couple subsequent Twitter conversations I both suggested my poi... | 261,811 |
16 September 2009
Sysop head of training, Michelle Major-Goldsmith and principal consultant, Andy Wright, have each been selected as finalists for the itSMF award ITIL Trainer of the Year.
Nominated by Sysop students, Michelle and Andy have also to be evaluated in action in the classroom delivering an ITIL v3 Foundatio... | 285,178 |
\begin{document}
\date{\today}
\subjclass[2020]{11R52, 11G10}
\keywords{superspecial abelian
surfaces, quaternion algebra, Bass order, conjugacy classes of
arithmetic subgroups}
\begin{abstract}
In the paper [On superspecial abelian surfaces over finite fields {II}.
{\em J. Math. Soc. Japan}, 72(1):303--33... | 159,594 |
shaping the stars of tomorrow
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Saladini Pilastri Consenso Rosato 2010
As the sun was sinking on another lovely early summer day, I popped open Saladini Pilastri Consenso Rosato 2010 to accompany our”.
Eye-catching coral-cherry in colour, faint aromas of cherry blossoms and rose buds lingered in my glass. Bright flavours of strawberry, cherry and tar... | 328,512 |
A new survey of Asian investors reveals that millennials in the region are at substantial risk of a cash crunch during their later years, with many expecting to carry mortgage debt into retirement or even run out of money altogether, according to a survey of Manulife's Investor Sentiment Index.
Millennial investors rev... | 119,553 |
TITLE: Range of a random variable - measure theory
QUESTION [1 upvotes]: Let $(\Omega, \mathcal{F}, P)$ be a probability space.
Sometimes, the convention is used that a random variable is a map from a probabilty space to $\mathbb{R}$, but let's not adopt this. So let $X$ be a random variable with range $E$,
so $X \co... | 210,681 |
Welcome to Holmer Green Kebabs located on 7 Turners Place, Buckinghamshire. Holmer Green Kebabs are a Turkish kebab shop owned by authentic Turkish owners. Our chefs are ready and waiting to cook up your tasty treats and ordering online couldn't be easier than from the comfort of your sofa. Choose from a selection of P... | 242,986 |
\begin{document}
\title{Free Assosymmetric algebras as modules of groups}
\author{Askar S. Dzhumadil'daev, Bekzat K. Zhakhayev}
\date{}
\address{Institute of Mathematics and Mathematical Modeling, Pushkin str., 125, Almaty, Kazakhstan}
\email{dzhuma@hotmail.com}
\address{Faculty of Engineering and Natural Sciences,
S... | 43,412 |
Commercial Stainless Soft Serve Ice Cream & Frozen Yogurt Maker Machine 3 Flavor – YouTube. Equipped With two large capacity (6L2/1.6 Gallons2) hoppers, this ice cream machine maker adopts powerful compressors and radiators for long-term use. With LCD panel design, you can control the quantity, hardness and temperature... | 292,069 |
University of Kashmir
24x7 Library Facilities Centre:- Right at the left side of the basement of library is located 24x7 library facility centre which remains open round-the-clock throughout the year except the days shown in the Library Calendar:
Ibn Khaldun Auditorium:- To facilitate the great environment for the even... | 173,070 |
We give every job our best, which is reflected by our long list of satisfied customers. Rest assured that in the unlikely event of post-release issues with your site, we aim for a same-day turnaround, usually at no charge.
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Last week, The Royal Bank of Scotland Group (NYSE:RBS) announced its decision to cut as many as 2,000 more jobs across its global investment banking operations – a piece of news that did not attract much attention given the simultaneous announcement by the U.K. banking group that CEO Stephen Hester will resign this Dec... | 313,443 |
Welcome to this Fanduel Review – the place to be if you would like to learn all that you need to know about one of the most remarkable daily fantasy sites ever so that you can make an informed decision whether to go for it or not. FanDuel is a leader among the daily fantasy sports sites not only in the United States bu... | 354,073 |
Technology
Bringing advanced clinical tools to the bedside to enhance medical decision making
Call9 has created a custom technology platform that includes both web and Android applications for the Call9 clinical team in addition to a data platform that can be accessed directly by skilled nursing facility (SNF) leadersh... | 297,365 |
The staff at Burns & Associates have experience in various aspects of health care delivery and payment reform across the full continuum of care including medical, pharmacy and long term services and supports.
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Vivo S9e value, specs have been leaked by a tipster on Weibo. Judging by the identify, the Vivo S9e appears to be an offshoot of the Vivo S9 that’s anticipated to launch someday in March. The specs and value of the Vivo S9e have leaked on-line however its launch date is just not identified but. The Vivo S9e is alleged ... | 128,291 |
The j. has devoted its cover story to the amazing news that The Lion, The Witch and The Wardrobe is a Christian allegory, and is being marketed as such to church groups. They feel that Jews Should Be Informed.
I'm seeing various other Jewish sites and sources getting interested in this. I do not get it, people.
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TITLE: What is the probability that a random chord in a sphere touches opposite hemispheres?
QUESTION [5 upvotes]: (edited) Consider the unit sphere $\mathbb{S}^2\subset \mathbb{R}^3$, and its upper $(z>0)$ and lower $(z<0)$ hemispheres.
Draw two independent, uniformly distributed points $X,Y$ on $\mathbb{S}^2$.
Given ... | 163,150 |
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\begin{document}
\title[ERGM Extremal Behavior]{Extremal Behavior in Exponential Random Graphs}
\author[Ryan DeMuse]{Ryan DeMuse}
\address{Department of Mathematics, University of Denver, Denver, CO 80208,
USA} \email {ryan.demuse@du.edu}
\begin{abstract}
Yin, Rinaldo, and Fadnavis classified the extremal behavio... | 198,570 |
\begin{document}
\title{Tzitz\'eica transformation is a dressing action}
\author{\bigskip Erxiao Wang}
\address{University of Texas, Austin, TX 78712, USA}
\email{ewang@math.utexas.edu}
\bigskip
\begin{abstract}
\bigskip
We classify the simplest rational elements in a twisted loop group,
and prove that dressing a... | 28,681 |
\begin{document}
\begin{frontmatter}
\title{A topological group observation on \\ the Banach--Mazur separable quotient problem}
\author{Saak S. Gabriyelyan}
\ead{saak@math.bgu.ac.il}
\address{Department of Mathematics, Ben-Gurion University of the Negev, Beer-Sheva, P.O. 653, Israel}
\author{Sidney A. Morris}
\ea... | 83,186 |
An investigation of risk factors for symptomatic osteoarthritis of the knee in women using a life course approach.
Dawson J., Juszczak E., Thorogood M., Marks S-A., Dodd C., Fitzpatrick R.-40 and were aged 51-55.. | 58,583 |
TradingScreen Adds BNP Paribas and Merrill Lynch to FX Network
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TITLE: Properties of the convolution function
QUESTION [0 upvotes]: Exercise from my TA
Let $f,g,h:\Bbb R \to \Bbb C$ be 1-periodic continuous functions. The periodic convolution $f \ast g$ is defined by$f\ast g = \int_0^1f(x-y)g(y)dy$
(1) Prove that $f\ast g $ is continuous
(2) Prove that $f\ast g = g \ast f$
(3) Pro... | 97,123 |
Attention Home Buyers! July and August are great months to buy a home
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\begin{document}
\title{Canonical diffusions on pattern spaces of aperiodic Delone sets}
\author{Patricia Alonso-Ruiz$^{1}$}
\address{$^{1,3}$ Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA}
\email{\href{mailto:patricia.alonso-ruiz@uconn.edu}{patricia.alonso-ruiz@uconn.edu}}
\urladdr... | 192,244 |
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\section{Fishburn distribution}
\begin{figure}
\begin{center}
1\\ 2\\ 6, 1\\ 24, 9\\ 120, 72, 5\\ 720, 600, 98, 1\\ 5040, 5400,
1450, 76\\ 40320, 52920, 20100, 2200, 35\\ 362880, 564480, 279300,
48750, 2299, 9\\ \dots \\
\caption{Unsieved Fishburn distribution: number of structures of
size $n$... | 108,986 |
Professor funds new engineering endowment to help students travel for success
Professor funds new engineering endowment to help students travel for success
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Revaluations: John Dewey’s Darwinism
The Influence of Darwin on Philosophy and Other Essays in Contemporary Thought
A large part of the enormous corpus of John Dewey’s writings is now to be found only in our great research libraries. We must therefore be grateful to the Indiana University Press for making available aga... | 200,976 |
On a cold and windy day, a two-and-a-half year streak of at least one school record at every meet came to an end Saturday at the loaded Tiger Relays at Savannah State University in Savannah, Ga. The Petrels, competing as the only Division III school at the meet, were at times overwhelmed with the level of competition a... | 415,175 |
DARIEN, Conn. -- Holmes School second-graders hosted a concert of songs on Friday, Feb. 27, called "Lift Every Voice," to celebrate Black History Month.
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>>.
The ISO/IEC 27001 Practitioner course allows to confirm whether a candidate has an adequate knowledge of ISO/IEC 27001 and of its application in a specific context.
At the end of the ISO/IEC 27001 Foundation course, provided the exam is successful, the examinee will know:
At the end of the ISO/IEC 27001 Practitione... | 40,405 |
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I do not recommend any product that does not work. I am extremely picky with the companies and brands that I support, and many products simply do n... | 293,597 |
\begin{document}
\title{Cauchy-Carlitz numbers}
\author{
Hajime Kaneko\\
\small Institute of Mathematics\\
\small University of Tsukuba\\
\small 1-1-1 Tennodai, Tsukuba, Ibaraki 350-0006 JAPAN\\
\small Center for Integrated Research in Fundamental Science and Engineering (CiRfSE)\\
\small University of Tsukuba, \\
\s... | 145,752 |
TITLE: What can be said about the roots of $acx^4 + b(a + c)x^3 + (a^2 + b^2 + c^2 )x^2 + b(a + c)x + ac$?
QUESTION [2 upvotes]: Let a, b and c be real numbers. Then the fourth degree polynomial in
$x$, $acx^4 + b(a + c)x^3 + (a^2 + b^2 + c^2 )x^2 + b(a + c)x + ac$
(a) Has four complex (non-real) roots
(b) Has either... | 151,731 |
This site uses cookies to provide you with a great user experience. By using Livepure.com, you accept our use of cookies... | 268,685 |
TITLE: Does Nori's fundamental group scheme appear in Kim's work
QUESTION [10 upvotes]: This is a very vague question. I was just reading the introduction to M. Kim's article on motivic fundamental groups and the theorem of Siegel and noticed that there are essentially three fundamental groups appearing in his work: th... | 164,726 |
Tomorrow NASA will make an announcement relating to Astrobiology, and no I’m not referring to the health of the Jetson’s dog. From the press release:.
Personally, I’m hoping that NASA will announce Titan is populated by extremely technologically advanced Sephardic Jews. Within hours of the announcement, all of Israel’s... | 59,219 |
Aluminum Ingot
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11.09.06
Maybe He Should Ask Burger King For A Job Application?
WRKO mouthpiece John DePetro (the asshole on the left) was fired last week after his inflammatory remarks regarding Massachusetts Green-Rainbow Party candidate for Governor, Grace Ross. From the Boston Globe’s Andrea Estes and Suzanne Ryan.
“I could go now... | 11,484 |
Why are so many sports venues circular, or nearly circular? Circles are an incredibly efficient shape. They allow builders to fit many spectators into a fairly small space. Since there are no corners, every seat has a decent view of the action.
Don't Mess with Success
The ancient Greeks and Romans built some of the wor... | 201,262 |
TITLE: Frobenius Norm Inequality; Spectral Radius is smaller than Frobenius Norm
QUESTION [3 upvotes]: Let $A \in \mathbb{R}^{n \times m}$ and $x \in \mathbb{R}^n$. Prove the following inequality. $\left\lVert \cdot \right\rVert_F$ denotes the Frobenius norm and $\left\lVert \cdot \right\rVert_2$ denotes the $p$-norm w... | 143,439 |
TITLE: Unbounded subsets of ordinals with countable confinality
QUESTION [2 upvotes]: Let $\alpha$ and $\beta$ be limit ordinals such that $\alpha > \beta$ and $cf (\beta) > cf(\alpha) = \omega$. It is not true that we can always find an unbounded subset of $\alpha$ with order type $\beta$: For an uncountable successor... | 173,118 |
Share Home > Author Quotes > Alfred Lord Tennyson > If I had a flower for every time I thought of you…I could “If I had a flower for every time I thought of you…I could walk through my garden forever.” ~Alfred Lord Tennyson Tags: Alfred Lord Tennysonfeelingsflowerforeverinspirationallovepartnerpositiveromanticthinking ... | 330,848 |
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