text stringlengths 0 6.23M | __index_level_0__ int64 0 419k |
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Dying Star is an unreleased track by Au5 and Juventa featuring vocals from Charlie Bath, which was due out in 2013. It was eventually released on July 1, 2021 as part of the Monstercat 10 Year Anniversary compilation.
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\begin{document}
\begin{frontmatter}
\title{Projective limit random probabilities on~Polish spaces}
\runtitle{Projective limit random probabilities}
\begin{aug}
\author{\fnms{Peter} \snm{Orbanz}\corref{}\ead[label=e1]{p.orbanz@eng.cam.ac.uk}\thanksref{t1}}
\thankstext{t1}{Research supported by EPSRC grant EP/F... | 183,030 |
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TITLE: Finding the complex roots of an equation.
QUESTION [0 upvotes]: I feel ridiculous asking this, its something I should be able to do, however I shall ask anyway. I am doing a calculation that requires me to find the roots of the equation $\frac{1}{4}(z^{-2}+2z-z^2)$. Using wolfram alpha you get two real roots z =... | 200,910 |
Bad habits are not only detrimental to the people that are chained to them, but can also be annoying for others. Acting as a digital swear jar, a new app from Romania — Social Rehub — collects money every time users blaspheme, or commit any other bad habit decided by their friends.
Multiple users can set up their own g... | 355,739 |
Dear New Member,
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\section{Sturm method}\label{sec4}
In the book~\cite{5}, one can find an elegant theorem of Sturm
on counting the number of real roots of a polynomial in a given interval.
In fact, this theorem --- or, more exactly, its method --- has a wider scope.
A finite sequence of polynomials $\{f_0,f_1,\dots,f_n\}$ is called
... | 26,252 |
Music essay on the new york dolls
Member rating: No Rating | Words: | Submitted: Tue Feb 01 2005
On the left is an image preview of every page of this document, and below are the first 150 words with formatting removed:
Music essay on the new york dolls New York Dolls are- David Johansson- Vocals Johnny Thunders- Guita... | 64,310 |
\begin{document}
\title[Stress-Energy in LCFT]{Stress-Energy in Liouville Conformal Field Theory on Compact Riemann Surfaces}
\author[Joona Oikarinen]{Joona Oikarinen}
\address{University of Helsinki, Department of Mathematics and Statistics,
P.O. Box 68 , FIN-00014 University of Helsinki, Finland}
\email{ j... | 17,900 |
TITLE: Why is $\mathbb{A}^2$ isomorphic to $\operatorname{Spec}k[x,y]$ as ringed spaces
QUESTION [9 upvotes]: Suppose that $k$ is an algebraically closed field, and let $\mathbb{A}^2$ denote the affine $2$-space $k^2$.
An affine scheme is defined to be a locally ringed space $(X, \mathcal{O}_X )$ which is isomorphic (a... | 126,100 |
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\section{Acknowledgements}
This work was funded in part by the Biomedical Data Driven Discovery Training Grant from the National Library of Medicine (5T32LM012203) through Northwestern University, and the National Institute on Aging. The authors would also like to thank the QUEST High Performance Computing Cluster at N... | 61,915 |
Tracking all the power players in the royal realm can be a bit confusing. We let you know who is important to know about and what to follow in our guide to Bring Down the House – an adaptation of Shakespeare’s Henry VI trilogy.
England’s Game of Thrones
Shakespeare’s Henry VI trilogy is historical fiction. It is a re-i... | 206,250 |
\section{\greedy is input-revealing}
\label{sec:input-rev}
In this section, we prove \Cref{thm:pattern-avoidance,thm:main-noinitial,thm:monotone,thm:sgreedy}.
We refer to \S\,\ref{sec:results} for definitions of pattern-avoiding, $k$-decomposable and $k$-increasing permutations.
To bound the cost of algorithm $\cA$, w... | 147,163 |
\begin{document}
\title[Laplacians on smooth distributions as $C^*$-algebra multipliers]{Laplacians on smooth distributions \\ as $C^*$-algebra multipliers}
\author{Yuri A. Kordyukov}
\address{Institute of mathematics, Ufa scientific center, Russian Academy of Sciences}
\email{yurikor@matem.anrb.ru}
\thanks{Suppo... | 178,615 |
The morning Ian left to go to work September 30, he asked me to come along.
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TITLE: Envelope of two sine waves interfering
QUESTION [4 upvotes]: I have two waves interfering with different amplitudes, frequencies and phases.
$$ x(t) = X_1 \sin(\omega_1 t+\varphi_1) + X_2 \sin(\omega_2 t+\varphi_2) $$
I am able to convert this wave into the form
$$ x(t) = A \cos(\delta t) \cos(\sigma t) + B \co... | 71,714 |
\begin{document}
\author{Federico Binda}
\title{Torsion 0-cycles with modulus on affine varieties}
\subjclass[2010]{Primary 14C25; Secondary 19E15, 14F42}
\AtEndDocument{\bigskip{\footnotesize
(F.~Binda) \textsc{Fakult\"at f\"ur Mathematik, Universit\"at Regensburg, Universit\"atsstr.~31, 93053 Regensburg, Germany.... | 206,800 |
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8:00AM - How to assess, teach and use the Head as an Access site for AT: Given by Karen Kangas and Lisa Rotelli. If you get a chance, please take a class with Karen Kangas. Karen's background is in seating and positioning. All I can say is WOW! She had me sitting up straight in my chair wide eyed and ready to learn at ... | 250,817 |
TITLE: Limit of $a_n = \frac{1}{1^3\cdot 1}+\frac{1}{1^3\cdot 2+2^3\cdot 1}+\cdots+\frac{1}{1^3\cdot n+2^3\cdot (n-1)+\cdots+n^3\cdot 1}$
QUESTION [5 upvotes]: Let
$$a_n = \frac{1}{1^3\cdot 1}+\frac{1}{1^3\cdot 2+2^3\cdot 1} + \cdots +\frac{1}{1^3\cdot n+2^3\cdot (n-1)+\cdots+n^3\cdot 1}$$
Does this sequence converge ... | 95,233 |
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TITLE: Solving Linear Systems with Arbitrary Constants
QUESTION [1 upvotes]: I've run into somewhat of a problem during my Linear Algebra homework and I can't make heads or tails of it for some odd reason. I'm hopeful that one of you could help me out. It's worded as so :
Consider the System of Linear Equations
|x + ... | 70,201 |
\section{Universality and Scaling in Gravitational Collapse of a Massless Scalar Field\\M. W. Choptuik}
Problem: single massless scalar field $\phi$ minimally coupled to gravity $g_{\mu\nu}$.
It is an arena to investigate the nature and consequence of nonlinearity in General Relativity.
The general time-dependent, s... | 170,668 |
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Judy and Dave’s love story began at Heritage Woods of Charleston.
One day, Dave asked Judy if he could sit with her – and the rest is history.
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TITLE: How to define an algebraically closed field
QUESTION [3 upvotes]: A field $K$ is algebraically closed if every non-constant polynomial $f \in K[x]$ has a root in $K$, i.e. there exists $a \in K$ such that $f(a) = 0$. Some facts I've noticed:
$\mathbb{C}$ is algebraically closed (fundamental theorem of algebra).... | 51,014 |
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WHL to host 2020 WHL Bantam Draft online Wednesday
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TITLE: Is there a term for "is mapped to by an isomorphism"?
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For example, if $G$ and $H$ are two isomorphic groups, then there exists an isomorphism mapping their identity elements together. That is to say, their identity elements are _____, where ___... | 38,995 |
1998, a group of entrepreneurial bankers set out to build the best business bank in Texas. They had deep roots in the local banking industry and a passion for service that had been forgotten by the larger banks.
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TITLE: If $X_i$ are iid, finding $E(X_1 + X_2 + \cdots + X_k \mid X_1 + X_2+ \cdots +X_n=b)$
QUESTION [5 upvotes]: I just wonder if anybody can help me to prove the following identity:
Given a series of i.i.d. non-negative random variables $X_1, X_2, ..., X_n$, then $$E(X_1+X_2+ \cdots +X_k \mid X_1+X_2+ \cdots +X_n=b... | 20,509 |
\begin{document}
\title[Embeddability on torsion-free abelian groups of uncountable size]{The
complexity of the embeddability relation between torsion-free abelian groups
of uncountable size}
\date{\today}
\author[F.~Calderoni]{Filippo Calderoni}
\address{Dipartimento di matematica \guillemotleft{Giuseppe Peano}\gu... | 39,059 |
\begin{document}
\title{Rota-Baxter paired modules and their constructions from Hopf algebras}
\author{Huihui Zheng}
\address{Department of Mathematics, Nanjing Agricultural University,
Nanjing 210095, China}
\email{huihuizhengmail@126.com}
\author{Li Guo}
\address{Department of Mathematics and Computer Science,
... | 58,844 |
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TITLE: Clarification on rules regarding division of two equations
QUESTION [2 upvotes]: This is going to seem like a highly obscure question because I've likely missed something fairly obvious. Apologies in advance.
Consider the following equations
$$2k+2mk=k$$
$$k+3mk=mk$$
which must be valid for all real values of $k... | 113,075 |
\begin{document}
\title{Quantity vs.~size in representation theory}\
\author{Jorge Vit\'oria}
\address{Jorge Vit\'oria, Dipartimento di Matematica e Informatica, Universit\`a degli Studi di Cagliari, Palazzo delle Scienze, via Ospedale, 72, 09124 Cagliari, Italy}
\email{jorge.vitoria@unica.it}
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\begin{document}
\title{Approximation of non-archimedean Lyapunov exponents and applications over global fields}
\pagestyle{fancy}
\fancyhf{}
\renewcommand{\headrulewidth}{0pt}
\lhead[\small\thepage]{\small\textsc{Approximation of non-archimedean Lyapunov exponents and applications}}
\rhead[\small\textsc{Thomas Gauth... | 57,779 |
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\begin{document}
\title[Divisibility]{Some elementary theorems about divisibility of 0-cycles
on abelian varieties defined over finite fields}
\author{H\'el\`ene Esnault}
\address{Mathematik,
Universit\"at Essen, FB6, Mathematik, 45117 Essen, Germany}
\email{esnault@uni-essen.de}
\date{Oct. 23, 2003}
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Council seeks public views on options for Gaelic education
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TITLE: Inside the proof of fermat's last theorem
QUESTION [0 upvotes]: The proof of fermat's last theorem it is come from the idea of G.frey which
Suggest to build an elliptic curve with coefficient are the solustion of fermat equation
$E : y^2=x(x-a^p)(x+b^p)$
And he try to find a contradition which do by others ... | 48,760 |
\begin{document}
\title[On the dimensions of oscillator-like algebras]{On the dimensions of oscillator-like algebras induced by orthogonal polynomials: NON-SYMMETRIC CASE}
\author{G. Honnouvo$^1$ and K. Thirulogasanthar$^2$}
\address{$^1$ Department of Mathematics and Statistics, McGill University,
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\section{Tilting}
In this section, we will give a description of all categories derived equivalent to an abelian 1-Calabi-Yau category. In order to do this, we will use tilting in the sense of \cite{Happel96}. We start with a short summary of some results.
Let $\AA$ be a hereditary abelian category. A \emph{split ... | 16,591 |
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Hiroshima by Hersey, John - 1946 1st Edition
Hiroshima by Hersey, John - 1946 1st Edition
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TITLE: Understanding the proof that the trivial $\mathbb{C}G$-submodule of $\mathbb{C}G$ is unique.
QUESTION [1 upvotes]: Question:
Let $G$ be a finite group. Find a $\mathbb{C}G$-submodule of $\mathbb{C}G$ which is isomorphic to the trivial $\mathbb{C}G$-module. Is there only one such $\mathbb{C}G$-submodule?
Answer:
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\begin{document}
\begin{abstract}
We show that a category \cat M equipped with a model structure defined by a proper, locally small class of orbits \cat O is Quillen equivalent to the category of small relative presheaves $\relpre M{}O$.
\end{abstract}
\maketitle
\section{Introduction}
Characterization of presheaf c... | 64,838 |
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Chapman provides industry-leading sustainable construction management and consulting services to forward-looking corporate, education, and medical/biotech clients. We take pride i... | 66,734 |
J from Franklin Ma writes | 92,290 |
TITLE: Using paraboloidal coordinates
QUESTION [5 upvotes]: I have the 3-dimensional paraboloidal coordinates
$$s_{\pm}=\sqrt{x^2+y^2+z^2}\pm z$$
$$\phi=ArcTan(y/x)$$
with the inverse transformation
$$x=\sqrt{s_+ \cdot s_-}\cdot cos(\phi)$$
$$y=\sqrt{s_+ \cdot s_-}\cdot sin(\phi)$$
$$z=\frac{s_+ - s_-}{2}$$
Questions:
... | 120,252 |
..For helping Shelby!!!! We raised $133 Green Papers that will go toward her medical fund. WoOt!!
And what was that mystery movie??
It was Twilight, but there were some awesome other guesses too!
Thanks for everybody who played along - we had tons of fun and made so many new friends!
And it's totally not too late to he... | 156,277 |
Hi!
I ended up having a half day because of the snow…should have taken the day off but I wasn’t that smart LOL. It honestly didn’t look too bad when I left this morning. We are expecting more snow tonight but I’m hoping it will be cleaned up in the morning. Yes, I want to go to work! Then it’s a 3 day weekend where I c... | 228,405 |
TITLE: Why do we call complex numbers “numbers” but we don’t consider 2-vectors numbers?
QUESTION [32 upvotes]: We refer to complex numbers as numbers. However we refer to vectors as arrays of numbers. There doesn’t seem to be anything that makes one more numeric than the other. Is this just a quirk of history and nami... | 74,476 |
TITLE: Coloured partitions
QUESTION [2 upvotes]: I have $2n$ elements, $n$ of which are blue and the other $n$ are orange. Other than sharing a colour, they are distinct, i.e. each of those $2n$ objects is different and recognizable from any other.
How many partitions are there such that in each subset there’s at least... | 71,832 |
Read a Book Day Yesterday was Read a Book Day apparently – as it should be every day. Anyway, here’s a poem to encourage such an activity. Share this:TwitterFacebookMoreTumblrLike this:Like Loading... Related
One of your finest sir.
________________________________
Thanks, Bill!
I like your style!
Thank you for the wri... | 314,129 |
\begin{document}
\begin{abstract}
In this paper, first we introduce a quantity called a partition function
for a quiver mutation sequence. The partition function is a generating
function whose weight is a $q$-binomial associated with each mutation. Then,
we show that the partition function can be expressed as a ratio... | 96,969 |
\begin{document}
\onehalfspacing
\begin{frontmatter}
\title{Modelling COVID-19 Transmission Dynamics in Ghana}
\author[som,fwwrg,dsas]{Edward Acheampong\corref{cor1}}
\ead{Edward.Acheampong1@nottingham.ac.uk/eoacheampong@ug.edu.gh}
\author[dms]{Eric Okyere}
\author[dsas]{Samuel Iddi}
\author... | 148,106 |
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Telestial GlorySee also Resurrectionanother glory of the stars, 1 Cor. 15:41.they that have no part in the first resurrection, Mosiah 15:26.we saw the glory of the telestial, D&C 76:81 (76:81–113).he who cannot abide the law of a telestial kingdom, D&C 88:24.who are quickened by a portion of the telestial glory, D&C 88... | 252,603 |
TITLE: Motivation and reference for Brauer algebras
QUESTION [1 upvotes]: I am looking for a good reference and motivation for Brauer monoid and Brauer algebras. Kindly help me with some suggestions. Thanks.
REPLY [1 votes]: I think the motivation comes from classical invariant theory or the grand program launched aro... | 190,793 |
demonrw Review
I got my first T fal pans in 1991- and I still have them I decided its time to update so why go with any other manufacture when I am thoroughly satisfied with T fal durability, quality
- How did the color on site compare with the actual product? perfect
- Please tell us about the quality of the product. ... | 112,019 |
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