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TITLE: Finding planar curve $\beta(s)$ given curvature $k(s) = \frac{1}{s}$, $\beta(1) = (0, 0)$, $\beta'(1) = (1, 0)$ QUESTION [2 upvotes]: Find the curve $\beta(s) = (x(s),y(s))$ with $|\beta'(s)|= 1$ for all $s >0$ such that $\beta(1) = (0,0)$, $\beta'(1) = (1,0)$ , and curvature $k(s) =\frac{1}{s}$ for all $s >0$. ...
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PHILADELPHIA — The Salvation Army will become the latest defendant in litigation over a deadly Philadelphia building collapse, and a contractor has asked to delay the lawsuits amid a criminal grand jury probe. Six people died inside a Salvation Army thrift store when an adjacent building being demolished collapsed on t...
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TITLE: Pair of square matrices related by traces formulas QUESTION [8 upvotes]: Let $A$ and $B$ be two $n\times n$ matrices over $\mathbb{C}$. Assume that for every $k\geq 1$ it holds $tr(A^k) = tr(B^{2k-1})$. What can we say about the possible eigenvalues of $A$ and of $B$? How limited is the set of possible eigenval...
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Smoking Cessation Health Center Gene Glitch Tied to Youth Smoking Addiction Nov. 24, 2004 -- Smoking may be especially addictive for young people with certain gene mutations. So say Jennifer O'Loughlin of McGill University and colleagues, after studying about 280 Canadian seventh graders who had started smoking. A vari...
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\subsection{Introduction to Category Theory} \label{app:intrCat} In this appendix, a few notions of Category Theory will be introduced, mainly to give an unaquainted reader an impression of why it is a beautiful mathematical theory. \subsubsection{Outline} \begin{enumerate} \item Some notes on the history \item D...
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The Jefferson Parish Public School System (JPPSS) is holding a recruiting fair to inform parents about the Jefferson Parish Virtual Home School Program. The event will be held on Saturday, April 16 from 11 a.m. until 1 p.m. at the JPPSS Administration Building at 501 Manhattan Blvd. in Harvey. Available for high school...
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Tel: +44 (0)1652 688046 | E: [email protected] Welcome to Agrimin World Leaders in Bolus Technology, Animal Health and Micro Nutrition Ag. News What our customers say?’
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A British newspaper, The Guardian, recently reported that intelligence officials of Pakistan arrested Shakil Afridi, a doctor from Khyber Agency, FATA, for organising a fake vaccination campaign for the CIA in Abbottabad whereby a nurse was sent into Osama bin Laden’s house to collect DNA samples of bin Laden’s family ...
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Minyip-Murtoa premiership coach John Delahunty steps aside after near-flawless tenure MINYIP-MURTOA senior coach John Delahunty is stepping aside after three years in charge of the Burras. Speaking to the Wimmera Mail-Times, Delahunty said he was leaving on a high and the timing was right. "I've been a coach, assistant...
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Earlier this week it was reported that the NFL Competition Committee may outlaw the cut block as early as next season. This will hurt the zone blocking teams, as that scheme teaches their backside offensive linemen to cut down defensive linemen. Part of the latest uproar about the cut block is due to the injury to Hous...
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\begin{document} \vspace{2cm} \title{constancy of $\phi-$holomorphic sectional curvature in generalized $g.f.f-$manifolds } \author{JAE WON LEE and Dae Ho Jin} \address{Department of Mathematics\\ Academia Sinica, Taipei 10617, TAIWAN} \email{jaewon@math.sinica.edu.tw} \address{Department of Mathematics\\ ...
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Frequently Asked Questions - Do I have to study Islamic Studies for my third-year master’s degree? - Does the scholarship cover living expenses? - Do I have to pay any tuition fees? - What happens if I wish to study outside the UK for my third year? - Can I apply to both GPISH and STEP? - I will be graduating in June, ...
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TITLE: How to find the left inverse of a piece wise defined function QUESTION [3 upvotes]: $F(x)=\begin{cases} x-1 & \text{if } x \text{ is even}\\ 2x &\text{if } x \text{ is odd}\end{cases}$ I need to exhibit the left inverse of this function. I know it exists because the function is one-to-one. Now, it's easy for me ...
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\begin{document} \begin{frontmatter} \title{Lax Distributive Laws for Topology, I} \author{Walter Tholen\fnref{A}} \ead{tholen@mathstat.yorku.ca} \address{Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada, M3J 1P3} \address{\rm Dedicated to the memory of Bob Walters} \fntext[A]{...
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Insurance Corporation Employee of the Month – July 2015 We are delighted to announce that the winner of our July Insurance Corporation Employee of the Month award is Jo Ford “I am delighted to announce that the winner of our July Employee of the Month award is Jo Ford. Jo has been nominated by two Broker friends this m...
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Alternate Views Ratings & Reviews Hot Toddy Gift Set - SUMMARY - SERVING/CARE - INGREDIENTS Enjoy two of these comforting brews at a delicious price!.
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This week, building your own earthquake sensor, turning trash into speakers, hacking Minecraft to include carbon emissions, treadmill conference rooms and more. 1. Vibroy Portable Vibrating Speakers Use Everyday Objects to Blast Your Tunes You can turn anything from pots to old boxes into speakers. 2. Build a DIY Earth...
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\begin{document} \begin{abstract} It is known that all the vector bundles of the title can be obtained by holomorphic induction from representations of a certain parabolic group on finite dimensional inner product spaces. The representations, and the induced bundles, have composition series with irreducible factors. ...
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Lawsuit Challenging EB-5 Regulations May Succeed Based on a recent hearing in a lawsuit challenging certain EB-5 regulations, it appears the regulations may be struck down due to the illegal appointment of Department of Homeland Security (DHS) Secretaries by the Trump Administration.[1] Enacted on Nov. 21, 2019, the re...
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\begin{document} \title{GEOMETRY OF COMPACT LIFTING SPACES} \author[G. Conner]{Gregory R. Conner$^1$} \address{ Department of Mathematics, Brigham Young University, Provo, UT 84602, USA} \email{conner@mathematics.byu.edu} \author[W. Herfort]{Wolfgang Herfort} \address{ Institute for Analysis and Scientific ...
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\begin{document} \title{Slope estimates of Artin-Schreier curves} \author{Jasper Scholten and Hui June Zhu} \address{ Mathematisch Instituut, Katholieke Universiteit Nijmegen, Postbus 9010, 6500 GL Nijmegen. The Netherlands. } \email{scholten@sci.kun.nl} \address{ Department of mathematics, University of California,...
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Rebecca Doll ~ Arbonne International Consultant As an Independent Consultant with Arbonne International I provide amazing skin care solutions for every day problems. Let me introduce you to these pure, safe and beneficial products that contain premium botanical ingredients and offer an integrative approach to beauty. A...
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\section{Success and Outage Durations}\label{sec:exp} \subsection{Duration between outages} The duration between consecutive outages, or equivalently the duration of success $S$, at a typical receiver increases with increasing interference correlation. \begin{lemma} The probability mass function (pmf) of the duration b...
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In celebration of National Pollinator Week (June 20th-26th) the Xerces Society, the largest pollinator conservation organization in the world, brings awareness to the dangers of a commonly used class of insecticide known as neonicotinoids, or neonics. One of the many benefits of gardening with natives is their ability ...
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Unaffiliated Working Hunter Trophy Show Sunday 09 May 2021 View details and Enter here One Day Event run under British Eventing rules, giving the opportunity for young or inexperienced horses and riders to get a taster of how they would fair in a BE affiliated event, substantial discount to BE prices and no official sc...
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By Vivienne Sanders The 3rd variation of this best-selling name has been revised and up to date to mirror the wishes of the present standards and gives a radical and lucid account of America's involvement in Vietnam throughout the interval 1945-75. It begins with an creation to the occasions that resulted in France's w...
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TITLE: $\mathcal{N}=4$ Super-Yang-Mills (SYM) and the Coulomb branch? QUESTION [6 upvotes]: $\mathcal{N}=4$ Super-Yang-Mills (SYM) theory is the maximally supersymmetric gauge theory in four dimensions and is an excellent playground to investigate new techniques in amplitude and Wilson loop calculations. From what I co...
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TITLE: What do the authors mean by "closing operator"? QUESTION [1 upvotes]: I'm reading a paper titled "Luminescence spectra of quantum dots in microcavities II Fermions" (link). In section III, the authors introduce so-called closing operators. I don't have enough background knowledge to understand the technique ther...
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Download e-book Fierce: A New Generation of Female Empowerment - Ombre et soleil (Thrillers) (French Edition). - The Rule of Law: Nomos XXXVI (NOMOS - American Society for Political and Legal Philosophy). - MORE IN Style & Beauty! - Army Field Manual - Munitions Support in the Theater of Ops. Are you tired of stereotyp...
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La-Le Cream with Prickly Pear Oil 60ml Details Opuntia fig contained in face cream perfectly protects the skin against free radicals and improves the reduction of deep wrinkles. It promotes penetration into the skin of all active ingredients, including those corresponding to maintaining an adequate level of hydration. ...
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The WNBA has announced its 2012 All-WNBA Teams today, with the last two MVPs and the 2011 WNBA Finals MVP headlining the list. 2012 WNBA MVP Tina Charles led the voting with 196 points while 2012 Defensive Player of the Year Tamika Catchings was third with 161 votes, with voting for the top three going in about the ord...
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Read "Adventure" at The Eldritch Dark: "Adventure" re-visits a theme that has been common to several poems by Clark Ashton Smith (CAS) that I have read recently: two lovers escaping from an unpleasant reality into a new realm of their own creation. Ever leave regret and rue To the dutiful and jealous Fools that are not...
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TITLE: Numerical calculation of the double integral QUESTION [0 upvotes]: I need to calculate in Matlab the integral: $$ \eta(t) = \int_{0}^{\infty} \int_{0}^{2\pi}\sin(-\omega \cdot t) \cdot \sqrt{2 \cdot \frac{\pi c}{2 \omega^6} \cdot \exp \left(-\frac{4,575}{\omega^2 \cdot h^{0,8}} \right) \cdot \frac{2}{\pi} \cdot ...
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St. Patrick's Day Style/ I cannot believe it's already March you guys. Where is the time going?! Well, with March in full swing it means St. Patrick's Day is around the corner. Elle and I got to be a part of a fun photo shoot for Babble.com thanks to the lovely Summer Bellessa from The Girls with Glasses. Check out the...
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\begin{document} \begin{frontmatter} \title{Basis for the linear space of matrices under equivalence\thanksref{footnoteinfo}} ...
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TITLE: Proving negation with multiple conditions QUESTION [2 upvotes]: Suppose that there is some condition A that is only true iff condition 1 and condition 2 are true. Now suppose that there is some result B and I'm trying to prove A ⇔ B. I can prove A ⇒ B, but to prove B ⇒ A I'm trying to show ¬A ⇒ ¬B. Now the probl...
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Be the first to like this “Think big, act small” – Its Abeysinghe, vice president of solutions architecture at WSO2, will share his experiences as a consultant and evangelist of digital transformation, and discuss a practical implementation model using an iterative approach. Be the first to like this Login to see the c...
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\begin{document} \begin{abstract} We study the slices of the parameter space of cubic polynomials where we fix the multiplier of a fixed point to some value $\lambda$. The main object of interest here is the radius of convergence of the linearizing parametrization. The opposite of its logarithm turns out to be a sub-h...
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\begin{document} Let \[ \tilde{E}_{- 1} = \left(\begin{array}{c} \tilde{E}_{- 11} \tilde{E}_{- 12} \cdots \tilde{E}_{- 1 p} \end{array}\right) \] \[ \Gamma = \left(\begin{array}{c} \Gamma_1^T\\ \Gamma_2^T\\ \vdots\\ \Gamma_p^T \end{array}\right) \] Define $R$ as the rotation of $\tilde{...
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Our first look at Zune, finally Due to launch on November 14, Zune is aimed at the portable MP3 player market. Today, November 1, was our first chance to try one out. Today, Microsoft gave CNET a demonstration of the Zune and the Zune software. Our initial impressions: It's a well-designed portable media device with go...
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It's April, and that's good news for local golfers because high rates are a thing of the past. Many courses lower greens fees in the coming weeks and it's also the season for charity cards and other special summer membership packages. Check your local pro shop for the availability of discount cards that benefit chariti...
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Contest Clue #12 – Pimp My Blog March 24, 12th clue of the contest… Pimp my blog. Performing this action will give you 1 extra entry for the contest. Clue #12 – Pimp My Blog Playing off of MTV’s hit show is this contest clue – Pimp My Blog. There are 8 prizes in the contest pool for web design related services and prod...
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Green Rwanda Media Review - 29 September 2017 Fri, 09/29/2017 - 21:53 Summary - Rwanda Green Fund shares that waste management experts and engineers from across Africa have visited Rwanda's e-waste recycling facility to learn from the fund's investment - ESI Africa reports that methane gas will increase Rwanda's power ...
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Sunday, July 29, 2007 First Place Yeah, that's what the papers say. But like the inevitability of a Hillary nomination, that, too, is wrong. See, all that matters is the total number of losses. At the end of the year, the team with the fewest losses wins, right? Well, in the NL Central, the team with the fewest losses ...
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Info: The Content-Type was text/html. Using the HTML parser. Info: Using the schema for HTML5 + SVG 1.1 + MathML 3.0 + RDFa Lite 1.1. Error: Element title must not be empty. From line 1, column 23; to line 1, column 30 ml><title></title><img s Error: An img element must have an alt attribute, except under certain condi...
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Manchesteter United goalkeeper David De Gea has claimed Sir Alex Ferguson's personal call was the key behind his move to Old Trafford from Atletico Madrid in the summer of 2011. Having garnered a reputation as one of the world's most promising young 'keepers during his time in La Liga, the former United manager paid ar...
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Hallelujah! Abundant Grace Baptist Church (Formerly Christos Baptist Church) moved from Dogwood Road to its new location on Sunday, November 30, 2014. Our new address is 10019 Liberty Road, Randallstown, MD 21133. By the grace of God, we will hold our first main worship there on Sunday, December 7, 2014. Please join us...
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TITLE: Why do the $n \times n$ non-singular matrices form an "open" set? QUESTION [30 upvotes]: Why is the set of $n\times n$ real, non-singular matrices an  open subset of the set of all $n\times n$ real matrices? I don't quite understand what "open" means in this context. Thank you. REPLY [0 votes]: Try to prove thi...
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APPETITE, OBESITY, DIGESTION, AND METABOLISM 1Division of Gastroenterology, Departments of Internal Medicine and Surgery, 2Shriners Hospital for Children, University of Texas Medical Branch, Galveston, Texas Submitted 7 February 2006 ; accepted in final form 2 September 2006 ghrelin; burn; gastric emptying; intestinal ...
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\begin{document} \begin{abstract} I prove that $\frac{2}{d}$, $\frac{2d-3}{(d-1)^2}$, $\frac{2d-1}{d(d-1)}$, $\frac{2d-5}{d^2-3d+1}$ and $\frac{2d-3}{d(d-2)}$ are the smallest log canonical thresholds of reduced plane curves of degree $d\geqslant 3$. I describe reduced plane curves of degree $d$ whose log canonical th...
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6 reasons why CPTED should be part of every agency's crime-fighting plan The multi-dimensional approach of Crime Prevention Through Environmental Design (CPTED) eliminates design flaws that contribute to crime When a series of sexual battery assaults occurred on a jogging path in a San Francisco park, strategies to pre...
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A farmworker in Eastern Washington found a small kitten who was living beneath a cement tunnel system and, after verifying there were no others and no mother cat to be found, sent the little feline to Ashley Morrison of Seattle for foster care. The pint-sized cat was given the name Cindy Lou Who after an equally pint-s...
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A debate that is sure to grow louder: What to do with charter schools in sports? When Robert Zayas worked in New Mexico, there was a growing question about fair placement of charter schools inside high school athletics in that state. Zayas, the New York State Public High School Athletic Association executive director s...
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\begin{document} \begin{abstract} We express the coefficients of the Hirzebruch $L$-polynomials in terms of certain alternating multiple zeta values. In particular, we show that every monomial in the Pontryagin classes appears with a non-zero coefficient, with the expected sign. Similar results hold for the polynomials...
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TITLE: Profinite completion of finitely presented groups QUESTION [11 upvotes]: Let $G$ be a finitely presented group, $\widehat{G}$ be the profinite completion of $G$, and $f: G\rightarrow \widehat{G}$ be the natural map. My question is: Is there an example of $G$ for which $\text{Im} f$ is not finitely presented? RE...
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Can you withhold rent over a faulty AC? This column on issues confronting renters and landlords is written by certified property manager Robert Griswold, author of "Property Management for Dummies," and by attorney Steven R. Kellman, founder of the Tenants Legal Center. Question: My roommate and I rent a two-bedroom ap...
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We have detected that you have JavaScript disabled. Certain features may be unavailable to you on our website. For a more complete experience, please enable JavaScript. Cross (4) Fashion Pendant (2) Heart (3) Mother's/Family (3) 18.00 (12) Multi-Color (12) Marquise (1) Pear (1) Round (10) 12K (12) Engravable (1) Compar...
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TITLE: Proof of Basis Extension Theorem QUESTION [1 upvotes]: Let $V$ be a finite dimensional vector space and $S=\{a_2,a_3,\ldots,a_n\}$, a linearly independent subset of V. Then either $S$ itself is a basis of $V$ or $S$ can be extended to form a basis of $V.$ Please prove the above. REPLY [5 votes]: Suppose $I$ is...
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El Cardon Swell Statistics, Winter: All Swell – Any Wind This picture shows the variation of swells directed at El Cardon El Cardon. In this particular case, whereas the the prevailing wind blows from the NNW. diagram. Because wind determines whether or not waves are good for surfing at El Cardon, you can view an alter...
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TITLE: Understanding a textbook example of linear mappings as matrices. QUESTION [1 upvotes]: I have a linear mapping $f:Q_{\leq1}[t] \to Q_{\leq1}[t]$ matrix A given by $f(a_{1}t + a_{0}) = 2a_{1} + a_{0}$ And two bases given by $B_{1} = \{1, t\}$ and $B_{2} = \{t+1, t-1\}$ so that $[f]_{B1,B1} = \begin{bmatrix} 1 & 0...
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We asked each member of our Boston Marathon Bombing reporting team to share their personal experience or perspective on one aspect of the bombing or the trial. Stay tuned for more personal perspectives like this as the trial concludes. The entire defense of accused FBI informants. The post Was Tamerlan Tsarnaev an FBI ...
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Get CJLO on the FM It’s time to get yourself heard. CJLO 1690 AM is looking for you to approve a nine-cent fee levy during the Concordia Student Union byelection on Nov. 29, 30 and Dec. 1. As many of you know, CJLO ran for a fee levy last semester but came up short. What you might not know is that we were the victims o...
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TITLE: Magnetic field due to a straight current wire in 3D QUESTION [0 upvotes]: How is magnetic field at a point due to current carrying wire calculated in 3D? Let's say wire has current I placed along x-axis in direction x. Would it just be $$\frac{\mu_0I}{2\pi y} \hat y + \frac{\mu_0I}{2\pi z} \hat z ?$$ I realized ...
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\section{Set-up for solving the renormalised equations} \label{Set::Up::Kerr} \subsection{Two fixed point lemmas} \label{Fixed::point::lemmaa} In this section, we state two variations of the classical fixed point theorem whose applications will allow us to solve the system of equations for the renormalised unknowns. Th...
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Hey There Everyone, Frank Kern has a deep dark secret. It’s something VERY few people know about him. Matter of fact, he’s a little embarrassed to admit it in public. Watch the video now and you’ll see what I mean: Mindmovies As you probably know, Frank’s just a bit of a success…actually more like a freaking force of n...
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Windows 10 is set to launch this week on Wednesday 29th July, a full nine months following the original announcement of the new operating system. But first let’s clear up why anyone should upgrade to Windows 10. Why upgrade to Windows 10? First of, it is free. Now this can have downsides as free stuff isn’t always the ...
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Do you relish the time you sit outside on a beautiful night out? Do you enjoy lounging outside in the open on cool mornings and afternoons? Home owners would agree that staying out each morning patio could be extremely thrilling exciting. Yet if the hot temperature is sweeping in, this can take the fun out with the sun...
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TITLE: Does the Polygonal Confinement Theorem hold on the set of entire functions? QUESTION [3 upvotes]: The Polygonal Confinement Theorem can be found in Section 2 of this paper by Rosenthal. I am interested in a generalization of Lemma 3.1 in the paper, which states: $\textbf{Lemma 3.1:} $ If $v_1,\ldots,v_m \in \ma...
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\begin{document} \begin{abstract} In this paper, we prove several results on finitely generated dynamical Galois groups attached to quadratic polynomials. First we show that, over global fields, quadratic post-critically finite polynomials are precisely those having an arboreal representation whose image is topologic...
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Year 6 2013/2014 Alex: Before coming to Link I was not a motivated person at all. I didn’t want to go to school and I didn’t like going on any sort of outdoor trips with my family. All I wanted to do was to be with friends and hangout with them all day, everyday. When I came to Link to visit T.J, my brother, Bobby woul...
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Renting garments and equipment has turn out to be more and more fashionable prior to now years. Styled in to be a little like Provence in South France (little bit of a stretch) this spacious mall is a nice place to spend a day purchasing and sampling the restaurants and cafes. There’s additionally a toho movie theater ...
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TITLE: Duplication in sets QUESTION [0 upvotes]: I have two questions. $1.$ From what i know the sets $A = \{1,1,2\}$ and $B = \{1,2\}$ are the same set. So my first question is, is $A\cup A=A$, or even further, is the union of a set and any of its subsets still that set? Say, for example $B \subseteq A$. Is $A\cup B=A...
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LVIII mercedes benz superdome new orleans feb. Nadal earns about $25 million in annual endorsements from such companies as Nike, Bacardi, Babolat, Armani. According to the league, traced images and footage of the players were drawn in a 2D environment. Nicolas Lodeiro 16. • MLB said that Hall of Fame broadcaster Vin Sc...
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TITLE: Calculating the uncertainty of momentum in quantum mechanics QUESTION [1 upvotes]: The expectation value of the momentum of a one-dimensional wave function $\Psi$ is $$\langle p \rangle = \int_{-\infty}^{\infty} \Psi^* \hat{p}\Psi \, dx = \int_{-\infty}^{\infty} \Psi^* \left(-i \hbar \frac{\partial}{\partial x}\...
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The 2016 Volkswagen Multivan Generation Six has retro appeal and modern-day smarts.Read the full review The Volkswagen Multivan Kombi 70 has all the right ingredients to surf on the waves of nostalgia. But underneath the retro chic exterior, does it actually stack up as a people mover? When you need to move a lot of pe...
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Last week, in his New Year message, the Dalai Lama proclaimed: “If our goal is a happier, more peaceful world in the future, only education will bring change”. These comments were directed at ongoing geopolitical conflicts but the significance of education as the impetus for reform stretches far beyond conflict resolut...
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Microbial ecological process of polluted urban river purified by Iris tectorum combined with immobilized bacteria LIU Zongnan;WANG Xin;WU Yifei;YAO Xiaohong;SUN Hong;SHEN Qi;LI Weilin;TANG Jiangwu;College of Life Science and Technology,Huazhong Agricultural University;Institute of Plant Protection and Microbiology,Zhej...
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T. After Pereira answered a couple of questions, someone had enough sense to turn the TVs off. Less than half an hour earlier, Pereira stood on the tee box of the 18th hole holding a one. After taking a drop and one-shot penalty, he blasted his approach shot over the green. He still had a chance to make the playoff if ...
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THE ABC's OF CONFUSION AS A WEAPON: JON 3(2), 1994 Editorial Brian Leibovitz, Ph.D. THE ABC/s OF CONFUSION AS A WEAPON: Acronyms, ß-Carotene, And Capsaicin ACRONYMS AND DEFINITIONS: THE ARSENAL OF CONFUSION One of the Bad Science (BS) Award candidates this issue is John Hathcock, Ph.D., Office of Special Nutritionals, ...
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TITLE: In the derivation of centre of mass, what is the basis of assumption a point having same acceleration as the body? QUESTION [0 upvotes]: In the derivation of centre of mass, we assume that a point $X$ exists such that its acceleration is the same as acceleration of the whole body. And as the derivation proceeds,...
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The Laurens County Sheriff’s Office made an arrest Friday in connection with a night-time burglary early this year. 25-year-old Joseph Edward Kinsel of 348 Cedar Falls Road, Fountain Inn was charged with Burglary 1st Degree. He’s accused of entering a Gibson Road, Fountain Inn on January 6th with intent to commit a cri...
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Attached files UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 FORM 8-K CURRENT REPORT Pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934 Date of Report (Date of earliest event reported): November 26, 2012 ______________________________ KBR, INC. (Exact name of registrant as ...
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Tips for Finding and Selecting Stitching Designs Cross stitching is a popular hobby where much time is spent looking for patterns. Here are some tips for finding and selecting charts. Along with stitching, selecting cross stitch patterns is a major part of cross stitching. When you first start stitching, it can be conf...
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TITLE: Distribution of the minimum of discrete Uniform R.V.s QUESTION [2 upvotes]: What is the cumulative distribution function of the minimum of $n$ discrete uniform i.i.d R.V.s? In particular when $X_i\sim\text{Unif}\,\{1,6\}$. For $n=2$ the problem becomes quite simple as listing all possible choices is not too b...
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TITLE: Representation by a quadratic binary form QUESTION [2 upvotes]: For $m$ a non-zero integer and discriminant $d=b^2-4ac$ congruent to either 0 or 1 modulo 4, show that m is properly represented by some binary quadratic form $f(x)=ax^2+bxy+cy^2$ if and only if the congruence $$z^2\equiv d\ (mod\ 4|m|)$$has a solut...
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