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\begin{document}
\title[On a Problem of Saffari]{Generalizations on a Problem of Saffari}
\normalsize \author[A. P. Mangerel]{Alexander P. Mangerel} \address{Department of Mathematics\\ University of Toronto\\ Toronto, Ontario, Canada} \email{sacha.mangerel@mail.utoronto.ca} \begin{abstract} We provide a generalizati... | arXiv |
Research article | Open | Open Peer Review | Published: 08 July 2019
Application of artificial neural network model in diagnosis of Alzheimer's disease
Naibo Wang1,2,
Jinghua Chen1,
Hui Xiao1,
Lei Wu1,
Han Jiang3 &
Yueping Zhou1
Alzheimer's disease has become a public health crisis globally due to its increasing incide... | CommonCrawl |
\begin{document}
\begin{frontmatter}
\title{High-Dimensional Inference: Confidence Intervals, $p$-Values and \texttt{R}-Software \texttt{hdi}} \runtitle{High-Dimensional Inference: Confidence Intervals, $p$-Values and \texttt{R}-Software \texttt{hdi}}
\begin{aug}
\author[A]{\fnms{Ruben}~\snm{Dezeure}\corref{}\ead[l... | arXiv |
\begin{document}
\title[]{Gagliardo--Nirenberg type inequalities using Fractional Sobolev spaces and Besov spaces}
\author{Nguyen Anh Dao}
\address{Nguyen Anh Dao: School of Economic Mathematics and Statistics, University of Economics Ho Chi Minh City (UEH), Vietnam}
\email{anhdn@ueh.edu.vn}
\date{\today}
... | arXiv |
\begin{document}
\title[Moduli of log twisted $\mathcal{N} =1$ SUSY curves]{Moduli of log twisted $\mathcal{N} =1$ SUSY curves} \author{Yasuhiro Wakabayashi} \date{} \markboth{Yasuhiro Wakabayashi}{} \maketitle \footnotetext{Y. Wakabayashi: Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 ... | arXiv |
Planets X, Y and Z take 360, 450 and 540 days, respectively, to rotate around the same sun. If the three planets are lined up in a ray having the sun as its endpoint, what is the minimum positive number of days before they are all in the exact same locations again?
We are asked to find the least common multiple of 360... | Math Dataset |
Cattle genome-wide analysis reveals genetic signatures in trypanotolerant N'Dama
Soo-Jin Kim1,2,
Sojeong Ka1,
Jung-Woo Ha3,
Jaemin Kim2,
DongAhn Yoo2,4,
Kwondo Kim2,4,
Hak-Kyo Lee5,
Dajeong Lim6,
Seoae Cho2,
Olivier Hanotte7,8,
Okeyo Ally Mwai9,
Tadelle Dessie8,
Stephen Kemp9,10,
Sung Jong Oh11 &
Heebal Kim1,2,4
BMC Ge... | CommonCrawl |
How might SpinLaunch actually spin something fast enough to launch it into orbit?
update: TechCrunch's SpinLaunch spins up a $35M round to continue building its space catapult is worth a read and contains this cool photo.
Ars Technica's Edition 1.34 of the Rocket Report! says:
SpinLaunch signs deal with Spaceport Ameri... | CommonCrawl |
Jacques Drèze
Jacques H. Drèze (5 August 1929[3] – 25 September 2022) was a Belgian economist noted for his contributions to economic theory, econometrics, and economic policy as well as for his leadership in the economics profession. Drèze was the first President of the European Economic Association in 1986 and was t... | Wikipedia |
Multilevel Monte Carlo method
Multilevel Monte Carlo (MLMC) methods in numerical analysis are algorithms for computing expectations that arise in stochastic simulations. Just as Monte Carlo methods, they rely on repeated random sampling, but these samples are taken on different levels of accuracy. MLMC methods can gre... | Wikipedia |
Varadhan's lemma
In mathematics, Varadhan's lemma is a result from the large deviations theory named after S. R. Srinivasa Varadhan. The result gives information on the asymptotic distribution of a statistic φ(Zε) of a family of random variables Zε as ε becomes small in terms of a rate function for the variables.
Sta... | Wikipedia |
\begin{document}
\title{A new family of links topologically, but not smoothly,\\concordant to the Hopf link}
\author{Christopher W. Davis} \address{Department of Mathematics, The University of Wisconsin at Eau Claire} \email{daviscw@uwec.edu} \urladdr{http://people.uwec.edu/daviscw/}
\author{Arunima Ray} \address{De... | arXiv |
Structure of index sequences for mappings with an asymptotic derivative
August 2007, 17(3): 671-689. doi: 10.3934/dcds.2007.17.671
On Ulam approximation of the isolated spectrum and eigenfunctions of hyperbolic maps
Gary Froyland 1,
School of Mathematics and Statistics, University of New South Wales, Sydney NSW 2052, A... | CommonCrawl |
Discrepancy function
In structural equation modeling, a discrepancy function is a mathematical function which describes how closely a structural model conforms to observed data; it is a measure of goodness of fit. Larger values of the discrepancy function indicate a poor fit of the model to data. In general, the param... | Wikipedia |
\begin{document}
\newtheorem{theorem}{Theorem}[section] \newtheorem{proposition}[theorem]{Proposition} \newtheorem{corollary}[theorem]{Corollary} \newtheorem{lemma}[theorem]{Lemma} \newtheorem{definition}[theorem]{Definition} \newtheorem{remark}[theorem]{Remark} \newtheorem{example}[theorem]{Example}
\renewcommand{\n... | arXiv |
\begin{document}
\title[Regularized inner products of meromorphic modular forms and higher Green's functions]{Regularized inner products of meromorphic modular forms and higher Green's functions} \author{Kathrin Bringmann} \address{\rm Mathematical Institute, University of Cologne, Weyertal 86-90, 50931 Cologne, Germa... | arXiv |
\begin{definition}[Definition:Alternating Series]
Let $\ds s = \sum_{n \mathop = 1}^\infty a_n$ be a series in the real numbers $\R$.
The series $s$ is an '''alternating series''' {{iff}} the terms of $\sequence {a_n}$ alternate between positive and negative.
\end{definition} | ProofWiki |
K-trivial set
In mathematics, a set of natural numbers is called a K-trivial set if its initial segments viewed as binary strings are easy to describe: the prefix-free Kolmogorov complexity is as low as possible, close to that of a computable set. Solovay proved in 1975 that a set can be K-trivial without being comput... | Wikipedia |
You're reading: Irregulars
Review: Who's Counting, by John Allen Paulos
By Elliott Baxby. Posted January 24, 2023
We asked guest author Elliott Baxby to take a look at John Allen Paulos' latest book, Who's Counting.
Mathematics is an increasingly complex subject, and we are often taught it in an abstract manner. John A... | CommonCrawl |
Al-Salam–Ismail polynomials
In mathematics, the Al-Salam–Ismail polynomials are a family of orthogonal polynomials introduced by Al-Salam and Ismail (1983).
References
• Al-Salam, Waleed A.; Ismail, Mourad E. H. (1983), "Orthogonal polynomials associated with the Rogers–Ramanujan continued fraction", Pacific Journ... | Wikipedia |
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group. It is named after H.S.M. Coxeter.[1]
Not to be confused with Longest element of a Coxeter group.
Definitions
Note that this article assumes a finite Coxeter group. For infinite Coxeter groups, the... | Wikipedia |
Algebraic Functions
By Dominic Milioto
Section 0: Preliminaries
Section 1: Plotting Algebraic Functions
Section 2: An Improved Plotting Method
Section 3: Applying Laurent's Theorem to Algebraic Functions
Section 4: Applying the Residue Theorem to Algebraic Functions
Section 11: Riemann Surfaces
Section 12: Evaluating t... | CommonCrawl |
What is the connection between analog signal to noise ratio and signal to noise ratio in the IQ plane in a quadrature demodulation system?
We would like to compute the quantitative relation between analog noise near the LO frequency and the statistics of points found in the IQ plane after IQ demodulation. In order to c... | CommonCrawl |
Relative motion on an airport walkway A person is walking on a moving walkway in the airport. Her speed with respect to the walkway is 2 $\mathrm{m} / \mathrm{s}$ . The speed of the walkway is 1 $\mathrm{m} / \mathrm{s}$ with respect to the floor. What is her speed with respect to a person walking on the floor in the o... | CommonCrawl |
\begin{document}
\title{Remarks on the nonlocal Dirichlet problem\thanks{Research supported in part by National Science Centre (Poland) grant 2014/14/M/ST1/00600 and by the DFG through the CRCs 701 and 1283}} \author{Grzywny, Tomasz \footnote{Wrocław University of Science and
Technology, Faculty of Pure and Appl... | arXiv |
Penn/Temple Probability Seminar
Feb 18 @ Penn: Jiaoyang Huang(Institute for Advanced Study)
Extreme eigenvalue distributions of sparse random graphs
I will discuss the extreme eigenvalue distributions of adjacency matrices of sparse random graphs, in particular the Erd{\H o}s-R{\'e}nyi graphs $G(N,p)$ and the random $d... | CommonCrawl |
Local and regional dynamics of chikungunya virus transmission in Colombia: the role of mismatched spatial heterogeneity
Sean M. Moore1,
Quirine A. ten Bosch1,2,3,4,
Amir S. Siraj1,
K. James Soda1,
Guido España1,
Alfonso Campo5,
Sara Gómez6,
Daniela Salas6,
Benoit Raybaud7,
Edward Wenger7,
Philip Welkhoff7 &
T. Alex Per... | CommonCrawl |
Algebraic geometry code
Algebraic geometry codes, often abbreviated AG codes, are a type of linear code that generalize Reed–Solomon codes. The Russian mathematician V. D. Goppa constructed these codes for the first time in 1982.[1]
History
The name of these codes has evolved since the publication of Goppa's paper d... | Wikipedia |
\begin{document}
\title{sfv Iterative methods for the inclusion of the inverse matrix}
\begin{abstract} {\fontfamily{cmss}\selectfont \fontseries{msc} \selectfont \fontshape{n}\selectfont \fontsize{9}{9}\selectfont In this paper we present an efficient iterative method of order six for the inclusion of the inverse o... | arXiv |
Climate Dynamics
January 2016 , Volume 46, Issue 1–2, pp 383–412 | Cite as
Precipitation in the EURO-CORDEX \(0.11^{\circ }\) and \(0.44^{\circ }\) simulations: high resolution, high benefits?
A. F. Prein
A. Gobiet
H. Truhetz
K. Keuler
K. Goergen
C. Teichmann
C. Fox Maule
E. van Meijgaard
M. Déqué
G. Nikulin
R. Vautard... | CommonCrawl |
\begin{document}
\begin{frontmatter}
\title{Free Entanglement Measure of Multiparticle Quantum States} \author{Chang-shui Yu \corauthref{yu}} \author{, He-shan Song} \corauth[yu]{Corresponding author.quaninformation@sina.com} \address{Department of Physics, Dalian University of Technology, Dalian 116024, China}
\beg... | arXiv |
Secrets of the Mathematical Ninja: Pascal's Triangle
Written by Colin+ in binomial, core 2, ninja maths, probability.
You've seen Pascal's triangle before:
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
You get the number in each row by adding its two 'parents' - for instance, each 10 in the row that s... | CommonCrawl |
Trigonometric series
In mathematics, a trigonometric series is an infinite series of the form
$A_{0}+\sum _{n=1}^{\infty }A_{n}\cos {nx}+B_{n}\sin {nx},$
This article is about the mathematical concept. For the book by Zygmund, see Trigonometric Series.
where $x$ is the variable and $\{A_{n}\}$ and $\{B_{n}\}$ are co... | Wikipedia |
\begin{document}
\begin{center} \bf MATRIX COEFFICIENT IDENTIFICATION IN AN ELLIPTIC EQUATION WITH THE CONVEX ENERGY FUNCTIONAL METHOD \end{center}
\centerline {\bf Michael Hinze and Tran Nhan Tam Quyen}
{University of Hamburg, Bundesstrasse 55, 20146 Hamburg, Germany\\ Email: michael.hinze@uni-hamburg.de and quyen.... | arXiv |
Review Rate of Change
Chain Rule
Product Rule
Quotient Rule
Mixed Problems
Identifying turning points and points of inflection
Graphing Polynomial Functions
Applications of Differentiation
Small changes and marginal rates
Find derivatives using implicit differentiation
Use implicit differentiation
It can happen that a ... | CommonCrawl |
\begin{document}
\title{On the order of regular graphs with fixed second largest eigenvalue} \author{Jae Young Yang$^1$\footnote{J.Y. Yang is partially supported by the National Natural Science Foundation of China (No. 11371028).}, Jack H. Koolen$^{2,3}$\footnote{J.H. Koolen is partially supported by the National Natu... | arXiv |
Home Journals IJSDP Simulation of the Thermal and Aerodynamic Behavior of an Established Screenhouse under Warm Tropical Climate Conditions: A Numerical Approach
Simulation of the Thermal and Aerodynamic Behavior of an Established Screenhouse under Warm Tropical Climate Conditions: A Numerical Approach
Edwin Villagran*... | CommonCrawl |
If $A$ and $B$ are independent events, and $A$ and $C$ are independent events, how do I show that $A$ and $B\cup C$ are independent?
Let $A$ and $B$ be independent events, and let $A$ and $C$ be independent events. How do I show that $A$ and $B\cup C$ are independent events as well?
According to the definition of indep... | CommonCrawl |
Nano Convergence
Dual-nozzle microfluidic droplet generator
Ji Wook Choi1 na1,
Jong Min Lee1 na1,
Tae Hyun Kim1,
Jang Ho Ha1,
Christian D. Ahrberg2 &
Bong Geun Chung ORCID: orcid.org/0000-0002-6838-32181
Nano Convergence volume 5, Article number: 12 (2018) Cite this article
The droplet-generating microfluidics has beco... | CommonCrawl |
\begin{document}
\large \begin{center} {\bf\Large Twisted cohomology pairings of knots I; diagrammatic computation} \end{center} \vskip 1.5pc
\begin{center}{\Large Takefumi Nosaka}\end{center}\vskip 1pc\begin{abstract}\baselineskip=12pt \noindent We provide a diagrammatic computation for the bilinear form, which is d... | arXiv |
Ha Huy Khoai, My Vinh Quang, p-adic Nevanlinna theory. Lecture Notes in Math. 1351 (1988), 138 - 152.
Nguyen Khac Viet, On the action of automorphism groups on regular models of algebraic curves. In: Proc. of the All-Union Conference on Algebraic Geometry, Yaroslavl, February 1988, 247 - 255 (in Russian).
Nguyen Khac V... | CommonCrawl |
\begin{document}
\title[]{Semi-Markov models and
motion in heterogeneous media}
\address{$1$: Dipartimento di Scienze Statistiche, Sapienza - Universit\`a di Roma}
\address{$2$: Dipartimento di Matematica e applicazioni ``Renato Caccioppoli" - Universit\`a degli studi di Napoli ``Federico II"}
\keywords{Semi-Mar... | arXiv |
Università del Salento
CRUI.UNILE
Per una mitologia critica. La favola della realt� e la realt� della favola
Andrea Tagliapietra
Dataset published via University of Salento
Myth has long been regarded as something, which is not capable of grabbing the traditional notion of truth. Hans Blumenberg defined this pre-compre... | CommonCrawl |
Existence of nontrivial solutions to Polyharmonic equations with subcritical and critical exponential growth
DCDS Home
On the number of limit cycles in general planar piecewise linear systems
June 2012, 32(6): 2165-2185. doi: 10.3934/dcds.2012.32.2165
Collasping behaviour of a singular diffusion equation
Kin Ming Hui 1... | CommonCrawl |
\begin{document}
\draft
\title{Unknown Quantum States: \\ The Quantum de Finetti Representation}
\author{Carlton M. Caves,$^1$ Christopher A. Fuchs,$^2$ and R\"udiger Schack$^3$
}
\address{$^1$Department of Physics and Astronomy, University of New Mexico, \\ Albuquerque, New Mexico 87131--1156, USA \\ $^2$Computing... | arXiv |
Sum of Reciprocals of Squares Alternating in Sign/Proof 1
< Sum of Reciprocals of Squares Alternating in Sign
\(\displaystyle \dfrac {\pi^2} {12}\) \(=\) \(\displaystyle \sum_{n \mathop = 1}^\infty \dfrac {\left({-1}\right)^{n + 1} } {n^2}\)
\(\displaystyle \) \(=\) \(\displaystyle \frac 1 {1^2} - \frac 1 {2^2} + \frac... | CommonCrawl |
Metamath
Metamath is a formal language and an associated computer program (a proof checker) for archiving, verifying, and studying mathematical proofs.[2] Several databases of proved theorems have been developed using Metamath covering standard results in logic, set theory, number theory, algebra, topology and analysi... | Wikipedia |
The Journal of Korean Physical Therapy
2287-156X(eISSN)
The Korean Society of Physical Therapy (대한물리치료학회)
Comparison of Motor Skill Acquisition according to Types of Sensory-Stimuli Cue in Serial Reaction Time Task
Kwon, Yong Hyun (Department of Physical Therapy, Yeungnam University College) ;
Lee, Myoung Hee (Departme... | CommonCrawl |
Characteristic polynomial
In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots. It has the determinant and the trace of the matrix among its coefficients. The characteristic polynomial of an endomorphism of a fin... | Wikipedia |
Band (order theory)
In mathematics, specifically in order theory and functional analysis, a band in a vector lattice $X$ is a subspace $M$ of $X$ that is solid and such that for all $S\subseteq M$ such that $x=\sup S$ exists in $X,$ we have $x\in M.$[1] The smallest band containing a subset $S$ of $X$ is called the ba... | Wikipedia |
\begin{document}
\begin{center} \fontsize{13pt}{10pt}\selectfont
\textsc{\textbf{GENERALIZATIONS OF GRADED PRIME IDEALS OVER GRADED NEAR RINGS}}
\end{center}
\begin{center}
\fontsize{12pt}{10pt}\selectfont
\textsc{{\footnotesize Malik Bataineh*, Tamem Al-shorman and Eman Al-Kilany }} \end{center}
\... | arXiv |
On a Kirchhoff wave model with nonlocal nonlinear damping
EECT Home
Moving and oblique observations of beams and plates
June 2020, 9(2): 469-486. doi: 10.3934/eect.2020020
Robust attractors for a Kirchhoff-Boussinesq type equation
Zhijian Yang 1,, , Na Feng 2, and Yanan Li 1,
School of Mathematics and Statistics, Zheng... | CommonCrawl |
Abstract: Particle capture by a slowly varying one-dimensional periodic potential is studied by the method of averaging . For large time intervals $t\sim 1/\alpha$ ($\alpha$ is the small parameter which characterizes the rate of change of the potential), including the point of intersection of the separatrix, the soluti... | CommonCrawl |
Self-maps on flat manifolds with infinitely many periods
Existence of nontrivial solutions to Polyharmonic equations with subcritical and critical exponential growth
June 2012, 32(6): 2207-2221. doi: 10.3934/dcds.2012.32.2207
On dynamical behavior of viscous Cahn-Hilliard equation
Desheng Li 1, and Xuewei Ju 1,
Departm... | CommonCrawl |
\begin{definition}[Definition:Derivative/Complex Function/Point]
Let $D\subseteq \C$ be an open set.
Let $f : D \to \C$ be a complex function.
Let $z_0 \in D$ be a point in $D$.
Let $f$ be complex-differentiable at the point $z_0$.
That is, suppose the limit $\ds \lim_{h \mathop \to 0} \ \frac {\map f {z_0 + h} - \map ... | ProofWiki |
Distortion and the automorphism group of a shift
JMD Home
This Volume
Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds
2018, 13: 115-145. doi: 10.3934/jmd.2018014
The mapping class group of a shift of finite type
Mike Boyle 1, and Sompong Chuysurichay 2,
Department of Mathemati... | CommonCrawl |
\begin{definition}[Definition:Order Embedding/Definition 2]
Let $\struct {S, \preceq_1}$ and $\struct {T, \preceq_2}$ be ordered sets.
Let $\phi: S \to T$ be a mapping.
$\phi$ is an '''order embedding of $S$ into $T$''' {{iff}} both of the following conditions hold:
:$(1): \quad \phi$ is an injection
:$(2): \quad \fora... | ProofWiki |
\begin{document}
\title[Hurewicz fibrations, almost submetries and critical points]{Hurewicz fibrations, almost submetries and critical points of smooth maps}
\author{Sergio Cacciatori}
\address{Universt\`a dell'Insubria - Dipartimento di Scienza e Alta Tecnologia\endgraf Via Valleggio 11, I-22100 Como, Italy and
... | arXiv |
\begin{document}
\title[Almost disjoint subgroups]{Almost disjoint pure subgroups of the Baer-Specker group} \author{Oren Kolman} \address{King's College London\\ Strand\\ London WC2R 2LS, UK} \thanks{We thank the referee for constructive comments.} \email{okolman@member.ams.org}
\author{Saharon Shelah} \thanks{Thi... | arXiv |
\begin{document}
\centerline{ \bf On $k$-free numbers over Beatty sequences }
\centerline{Wei Zhang}
\centerline{ School of Mathematics and Statistics, Henan University, Kaifeng 475004, Henan, China} \centerline{zhangweimath@126.com}
\textbf{Abstract} In this paper, we consider $k$-free numbers over Beatty seque... | arXiv |
\begin{definition}[Definition:Bipartite Graph]
A '''bipartite graph''' is a graph $G = \struct {V, E}$ where:
:$V$ is partitioned into two sets $A$ and $B$ such that:
:each edge is incident to a vertex in $A$ and a vertex in $B$.
That is:
:no two vertices in $A$ are adjacent
and
:no two vertices in $B$ are adjacent.
It... | ProofWiki |
Joint rate control and power allocation for low-latency reliable D2D-based relay network
Yahui Wang1,
Yanhua He1,
Chen Xu1,
Zhenyu Zhou ORCID: orcid.org/0000-0002-3344-44631,
Shahid Mumtaz2,
Jonathan Rodriguez2,3 &
Haris Pervaiz4
EURASIP Journal on Wireless Communications and Networking volume 2019, Article number: 111... | CommonCrawl |
\begin{document}
\title[Blow--up for the wave equation with...] {Blow--up for the wave equation with nonlinear source and boundary damping terms} \author{Alessio Fiscella} \author{Enzo Vitillaro} \address[E.~Vitillaro]
{Dipartimento di Matematica ed Informatica, Universit\`a di Perugia\\
Via Vanvitelli,1... | arXiv |
If Rosa's age is divided by 2, 3, 4, or 6, the remainder is 1. If her age is divided by 7, the remainder is 0. She is less than 75 years old. How many years old is Rosa?
Since her age divided by 7 results in a remainder of 0, her age must be a multiple of 7. If her age is $n$, we notice that $n-1$ must be a multiple o... | Math Dataset |
\begin{document}
\newcommand {\ignore} [1] {}
\def \aa {\alpha} \def {\bf b} {\beta} \def \gg {\gamma} \def \ee {\varepsilon} \def \el {\ell} \def \ss {\sigma} \def \dd {\delta} \def \Om {\Omega}
\def \PP {{\cal P}} \def \QQ {{\cal Q}} \def \DD {{\cal D}} \def \NN {{\cal N}} \def \AA {{\cal ... | arXiv |
A Level Playing Field? Empirical Evidence That Ethnic Minority Analysts Face Unequal Access to Corporate Managers
Flam, Rachel W.,Green, Jeremiah,Lee, Joshua A.,Sharp, Nathan Y.
Given the lack of diversity among senior executives of U.S. public companies, we investigate whether ethnic minority analysts face unique barr... | CommonCrawl |
Skilful precipitation nowcasting using deep generative models of radar
Suman Ravuri ORCID: orcid.org/0000-0002-7481-76331 na1,
Karel Lenc ORCID: orcid.org/0000-0001-6119-00451 na1,
Matthew Willson ORCID: orcid.org/0000-0002-8730-19271 na1,
Dmitry Kangin ORCID: orcid.org/0000-0001-9769-75852,3,
Remi Lam1,
Piotr Mirowski... | CommonCrawl |
Gender disparities in the education gradient in self-reported health across birth cohorts in China
Bowen Zhu1 &
Yiwan Ye2
Variation in the relationship between education and health has been studied intensely over the past few decades. Although there is research on gender disparity and cohort variations in educational e... | CommonCrawl |
Fixed Point Theory and Applications
Contraction principle for multivariate mappings
An application to an initial-value problem related to a first order differential equation
N variable nonexpansive mappings in normed spaces
Multivariate fixed point theorems for contractions and nonexpansive mappings with applications
Y... | CommonCrawl |
\begin{document}
\title{ $ arphi$-contractibility and $ arphi$-Connes amenability coincide with some older notions}
\setcounter{section}{0} \begin{abstract} It is shown that various definitions of $\varphi$-Connes amenability as introduced independently in \cite{Gh-Ja, mah, Sh-Am}, are just rediscovering existing not... | arXiv |
\begin{document}
\title{Saturation numbers for Ramsey-minimal graphs} \author{Martin Rolek ~and~ Zi-Xia Song\thanks{Corresponding author. \newline
E-mail addresses: msrolek@wm.edu (M. Rolek), Zixia.Song@ucf.edu (Z-X. Song). }\\ Department of Mathematics\\ University of Central Florida\\
Orlando, FL 32816 }
\maketi... | arXiv |
Tag: Evolutionary Genetics
A Kimura Age to the Kern-Hahn Era: neutrality & selection
Posted on November 9, 2018 November 9, 2018 by Razib Khan
I'm pretty jaded about a lot of journalism, mostly due to the incentives in the industry driven by consumers and clicks. But Quanta Magazine has a really good piece out, Theoris... | CommonCrawl |
Inference of genetic relatedness between viral quasispecies from sequencing data
Volume 18 Supplement 10
Selected articles from the 6th IEEE International Conference on Computational Advances in Bio and Medical Sciences (ICCABS): genomics
Olga Glebova1,
Sergey Knyazev1,
Andrew Melnyk1,
Alexander Artyomenko1,
Yury Khudy... | CommonCrawl |
Srinivasa Ramanujan
Indian mathematician
"Ramanujan" redirects here. For other uses, see Ramanujan (disambiguation).
In this Indian name, the name Srinivasa is a patronymic, and the person should be referred to by the given name, Ramanujan.
(1887-12-22)22 December 1887
Erode, Madras Presidency, British India
26 April 1... | CommonCrawl |
Mathematics of apportionment
Mathematics of apportionment describes mathematical principles and algorithms for fair allocation of identical items among parties with different entitlements. Such principles are used to apportion seats in parliaments among federal states or political parties. See apportionment (politics)... | Wikipedia |
\begin{document}
\title[Piltz divisor problem over number fields \`a la Vorono\"i]{Piltz divisor problem over number fields \`a la Vorono\"i} \author{Soumyarup Banerjee} \address{\rm Department of Mathematics, University of Hong Kong, Pokfulam, Hong Kong} \email{soumya.tatan@gmail.com}
\subjclass[2010] {11R42, 11R11,... | arXiv |
\begin{document}
\title{Regularity properties of the Schrödinger cost}
\author{Gauthier Clerc\thanks{Institut Camille Jordan, Umr Cnrs 5208, Universit\'e Claude Bernard Lyon 1, 43 boulevard du 11 novembre 1918, F-69622 Villeurbanne cedex. Clerc@math.univ-lyon1.fr}}
\date{\today} \maketitle
\abstract{The Schrödinger... | arXiv |
\begin{definition}[Definition:Solid Angle/Subtend]
Let $S$ be a surface oriented in space.
Let $P$ be a point in that space.
The '''solid angle subtended''' by $S$ at $P$ is equal to the surface integral:
:$\ds \Omega = \iint_S \frac {\mathbf {\hat r} \cdot \mathbf {\hat n} \rd S} {r^2}$
where:
:$\mathbf {\hat r} = \df... | ProofWiki |
1.5: Lines and Planes
[ "article:topic", "authorname:mcorral", "showtoc:no", "license:gnufdl" ]
Book: Vector Calculus (Corral)
1: Vectors in Euclidean Space
Contributed by Michael Corral
Professor (Mathematics) at Schoolcraft College
Line through a point, parallel to a vector
Line through two points
Distance between a ... | CommonCrawl |
\begin{document}
\title[Affine Actions and the YBE]{Affine Actions and the Yang-Baxter Equation} \author[D. Yang] {Dilian Yang} \address{Dilian Yang, Department of Mathematics $\&$ Statistics, University of Windsor, Windsor, ON N9B 3P4, CANADA} \email{dyang@uwindsor.ca}
\begin{abstract} In this paper, the relations b... | arXiv |
\begin{document}
\title[On the Zero First Eigenvalue of the Conformal Laplacian]{The Conformal Laplacian and The Kazdan-Warner Problem: Zero First Eigenvalue Case} \author[J. Xu]{Jie Xu} \address{ Department of Mathematics and Statistics, Boston University, Boston, MA, U.S.A.} \email{xujie@bu.edu} \address{ Institute ... | arXiv |
\begin{document}
\title{Twisted Alexander norms give lower bounds on the Thurston norm} \author{Stefan Friedl and Taehee Kim} \date{\today} \address{Rice University, Houston, Texas, 77005-1892} \email{friedl@math.rice.edu}\address{ Department of Mathematics, Konkuk University, Hwayang-dong, Gwangjin-gu, Seoul 143-701,... | arXiv |
Room square
A Room square, named after Thomas Gerald Room, is an n × n array filled with n + 1 different symbols in such a way that:
1. Each cell of the array is either empty or contains an unordered pair from the set of symbols
2. Each symbol occurs exactly once in each row and column of the array
3. Every uno... | Wikipedia |
Archimedean class
A class resulting from the subdivision induced by the Archimedean equivalence relation on a totally ordered semi-group. This equivalence is defined as follows. Two elements $ a $ and $ b $ of a semi-group $ S $ are called Archimedean equivalent if one of the following four relations is satisfied:
$$ \... | CommonCrawl |
\begin{document}
\title{Re-thinking Spatial Confounding in Spatial Linear Mixed Models}
\begin{abstract} In the last two decades, considerable research has been devoted to a phenomenon known as spatial confounding. Spatial confounding is thought to occur when there is collinearity between a covariate and the random e... | arXiv |
\begin{definition}[Definition:Octagonal Number/Definition 1]
Octagonal numbers are defined as:
:$O_n = \begin{cases}
0 & : n = 0 \\
O_{n - 1} + 6 n - 5 & : n > 0 \end{cases}$
for $n = 1, 2, 3, \ldots$
\end{definition} | ProofWiki |
\begin{document}
\nocite{*} \date{}
\title{Peridynamics and Material Interfaces} \author{Bacim Alali$^{\tiny a}$ \and Max Gunzburger$^{\tiny b}$} \maketitle \let\thefootnote\relax\footnote{$^{ a}$Department of Mathematics, Kansas State University, Manhattan, KS 66506.\\{\it bacimalali@math.ksu.edu.} }
\let\thefootno... | arXiv |
We investigate the spectrum of the two-dimensional model for a thin plate with a sharp edge. The model yields an elliptic $3\times3$ Agmon–Douglis–Nirenberg system on a planar domain with coefficients degenerating at the boundary. We prove that in the case of a degeneration rate $\alpha<2$, the spectrum is discrete, bu... | CommonCrawl |
\begin{definition}[Definition:Piecewise Continuous Function/Bounded]
Let $f$ be a real function defined on a closed interval $\closedint a b$.
$f$ is a '''bounded piecewise continuous function''' {{iff}}:
:there exists a finite subdivision $\set {x_0, x_1, \ldots, x_n}$ of $\closedint a b$, where $x_0 = a$ and $x_n = b... | ProofWiki |
Munn semigroup
In mathematics, the Munn semigroup is the inverse semigroup of isomorphisms between principal ideals of a semilattice (a commutative semigroup of idempotents). Munn semigroups are named for the Scottish mathematician Walter Douglas Munn (1929–2008).[1]
Construction's steps
Let $E$ be a semilattice.
1... | Wikipedia |
Functions of a complex variable, theory of
In the broad sense of the term, the theory of functions defined on some set of points $ z $ in the complex plane $ \mathbf C = \mathbf C ^ {1} $ (functions of a single complex variable) or on a set of points $ z = ( z _ {1} \dots z _ {n} ) $ of a complex Euclidean space $ \mat... | CommonCrawl |
\begin{document}
\title[Two-party Bell inequalities via triangular elimination]
{Two-party Bell inequalities derived from combinatorics via
triangular elimination}
\author{David Avis$\dag$, Hiroshi Imai$\ddag\S$,
Tsuyoshi Ito$\ddag$ and Yuuya Sasaki$\ddag$}
\address{\dag\ School of Computer Science, McGill Un... | arXiv |
List of dimensionless quantities
This is a list of well-known dimensionless quantities illustrating their variety of forms and applications. The tables also include pure numbers, dimensionless ratios, or dimensionless physical constants; these topics are discussed in the article.
Biology and medicine
Name Standard s... | Wikipedia |
What is the sum of the odd integers from 11 through 39, inclusive?
We want to sum the arithmetic series $11 + 13 + \cdots + 39$, which has common difference 2. Suppose the series has $n$ terms. 39 is the $n$th term, so $39 = 11 + (n-1)\cdot2$. Solving, we get $n = 15$.The sum of an arithmetic series is equal to the av... | Math Dataset |
\begin{document}
\title{\LARGE \bf Revisiting Normalized Gradient Descent:\\ Fast Evasion of Saddle Points}
\renewcommand{\arabic{footnote}}{\fnsymbol{footnote}}
\footnotetext[1]{These authors contributed equally.} \footnotetext[2]{Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsb... | arXiv |
Tag: machine learning
Research by CS Undergrad Published in Cell
Payal Chandak (CC '21) developed a machine learning model, AwareDX, that helps detect adverse drug effects specific to women patients. AwareDX mitigates sex biases in a drug safety dataset maintained by the FDA.
Below, Chandak talks about how her internsh... | CommonCrawl |
\begin{document}
\begin{abstract}
In this paper, we prove a conditional H\"older stability estimate for the inverse spectral problem of the biharmonic operator. The proof employs the resolvent estimate and a Weyl-type law for the biharmonic operator which were obtained by the authors in \cite{LYZ}. This work extends... | arXiv |
A review on the exact model
Photon counting by an ensemble of Λ-type three-level atom
Measuring squeezing of trapped coupling photons
A photon counting and a squeezing measurement method by the exact absorption and dispersion spectrum of Λ-type Atoms
Ghasem Naeimi1,
Samira Alipour2 and
Siamak Khademi2Email author
Sprin... | CommonCrawl |
\begin{document}
\title[Matrix concentration via semigroup methods]{Nonlinear matrix concentration via semigroup methods} \author[D. Huang and J. A. Tropp]{De Huang$^*$ and Joel A. Tropp$^\dagger$} \thanks{$^*$California Institute of Technology, USA. E-mail: dhuang@caltech.edu} \thanks{$^\dagger$California Institute o... | arXiv |
\begin{document}
\title[Matrix factorizations and intermediate Jacobians]{Matrix factorizations and intermediate Jacobians of cubic threefolds}
\author[B\"ohning]{Christian B\"ohning}\thanks{The first author was supported by the EPSRC New Horizons Grant EP/V047299/1.} \address{Christian B\"ohning, Mathematics Institu... | arXiv |
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