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Analytical Description of the Dynamics of Planar Pulses Propagating in the Mode of Tunnel Ionization V. A. Khalyapin1,2 & A. N. Bugay3 Bulletin of the Russian Academy of Sciences: Physics volume 86, pages 1355–1360 (2022)Cite this article The method of moments is used to investigate the propagation of a planar pulse in...
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Publication Info. Bulletin of the Korean Mathematical Society (대한수학회보) Korean Mathematical Society (대한수학회) This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, Sept...
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\begin{document} \title{$P$-spaces and the Whyburn property} \begin{abstract} \noi We investigate the Whyburn and weakly Whyburn property in the class of $P$-spaces, that is spaces where every countable intersection of open sets is open. We construct examples of non-weakly Whyburn $P$-spaces of size continuum, thus ...
arXiv
\begin{document} \title{Semantical conditions for the definability of functions and relations} \author{M. Campercholi, D. Vaggione} \maketitle \begin{abstract} Let $\mathcal{L}\subseteq \mathcal{L}^{\prime }$ be first order languages, let $R\in \mathcal{L}^{\prime }-\mathcal{L}$ be a relation symbol, and let $ \mathc...
arXiv
\begin{document} \title{On a Cahn-Hilliard-Brinkman model for tumour growth and its singular limits} \begin{abstract} In this work, we study a model consisting of a Cahn-Hilliard-type equation for the concentration of tumour cells coupled to a reaction-diffusion type equation for the nutrient density and a Brinkman-t...
arXiv
Bilinear equations in Hilbert space driven by paths of low regularity A $ C^1 $ Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence Dynamics of a discrete-time stoichiometric optimal foraging model Ming Chen 1, and Hao Wang 2,, School of Science, Dalian Maritime Uni...
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\begin{document} \begin{abstract} Let $S$ be a complex smooth projective surface of Kodaira dimension one. We show that the group $\mathrm{Aut}_s(S)$ of symplectic automorphisms acts trivially on the Albanese kernel $\mathrm{CH}_0(S)_\mathrm{alb}$ of the $0$-th Chow group $\mathrm{CH}_0(S)$, unless possibly if the ge...
arXiv
Multiple ergodic averages for three polynomials and applications Author: Nikos Frantzikinakis MSC (2000): Primary 37A45; Secondary 37A30, 28D05 DOI: https://doi.org/10.1090/S0002-9947-08-04591-1 Published electronically: April 25, 2008 Abstract: We find the smallest characteristic factor and a limit formula for the mul...
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# M.Sc. MATHEMATICS ## MAL-523 METHODS OF APPLIED MATHEMATICS DIRECTORATE OF DISTANCE EDUCATION GURU JAMBHESHWAR UNIVERSITY OF SCIENCE AND TECHNOLOGY HISAR-125001 ## MAL-523 METHODS OF APPLIED MATHEMATICS Contents ## Lesson No and Name 1 Fourier Transforms 2 Applications of Fourier Transforms 3 Curvilinea...
Textbooks
D-module In mathematics, a D-module is a module over a ring D of differential operators. The major interest of such D-modules is as an approach to the theory of linear partial differential equations. Since around 1970, D-module theory has been built up, mainly as a response to the ideas of Mikio Sato on algebraic anal...
Wikipedia
\begin{definition}[Definition:Isomorphism (Abstract Algebra)/Monoid Isomorphism] Let $\struct {S, \circ}$ and $\struct {T, *}$ be monoids. Let $\phi: S \to T$ be a (monoid) homomorphism. Then $\phi$ is a monoid isomorphism {{iff}} $\phi$ is a bijection. That is, $\phi$ is a monoid isomorphism {{iff}} $\phi$ is both a m...
ProofWiki
(The Cayley-Hamilton Theorem) If $p(t)$ is the characteristic polynomial for an $n\times n$ matrix $A$, then the matrix $p(A)$ is the $n \times n$ zero matrix. Let $A=\begin{bmatrix} 1& 1 \\ 1& 3 \end{bmatrix}$. The characteristic polynomial $p(t)$ of $A$ is p(t)&=\det(A-tI)=\begin{bmatrix} 1-t& 1 \\ 1& 3-t \end{bmatri...
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Axel Sophus Guldberg Axel Sophus Guldberg (2 November 1838 – 28 February 1913) was a Norwegian mathematician.[1][2][3] Axel Sophus Guldberg Born(1838-01-02)2 January 1838 Christiania, Norway Died28 February 1913(1913-02-28) (aged 75) Aker, Norway NationalityNorwegian SpouseKathinka Fredrikke Marie Borchsenius Childre...
Wikipedia
Long and short range order structural analysis of In-situ formed biphasic calcium phosphates Dong-Hyun Kim1, Kyu-Hong Hwang2, Ju Dong Lee3, Hong-Chae Park1 & Seog-Young Yoon1 Biphasic calcium phosphates (BCP) have attracted considerable attention as a bone graft substitute. In this study, BCP were prepared by aqueous c...
CommonCrawl
\begin{document} \title{A Unique Perfect Power Decagonal Number} \begin{abstract} Let $\mathcal{P}_s(n)$ denote the $n$th $s$-gonal number. We consider the equation \[\mathcal{P}_s(n) = y^m, \] for integers $n,s,y,$ and $m$. All solutions to this equation are known for $m>2$ and $s \in \{3,5,6,8,20 \}$. We consider...
arXiv
The spectrum of discrete Dirac operator with a general boundary condition Nimet Coskun ORCID: orcid.org/0000-0001-9753-01011 & Nihal Yokus1 In this paper, we aim to investigate the spectrum of the nonselfadjoint operator L generated in the Hilbert space \(l_{2}(\mathbb{N},\mathbb{C}^{2})\) by the discrete Dirac system ...
CommonCrawl
\begin{document} \title{Iso-entangled mutually unbiased bases, symmetric quantum measurements and mixed-state designs} \author{Jakub Czartowski} \affiliation{Institute of Physics, Jagiellonian University, ul. {\L}ojasiewicza 11, 30--348 Krak\'ow, Poland} \author{Dardo Goyeneche} \affiliation{Departament...
arXiv
Search Results: 1 - 10 of 10244 matches for " Charles Wilf " Belief Structures, Common Policy Space and Health Care Reform: A Q Methodology Study [PDF] Charles Wilf Psychology (PSYCH) , 2011, DOI: 10.4236/psych.2011.29143 Abstract: Debate on the merits of health care reform continues even after passage of the Affordabl...
CommonCrawl
Phạm Minh Hoàng Phạm Minh Hoàng (born 1955) is a French-Vietnamese blogger and lecturer in applied mathematics at the Ho Chi Minh City University of Technology, who was arrested in Vietnam for his political writing and activism on August 13, 2010.[1] Phạm Minh Hoàng, who writes with the pen name Phan Kien Quoc, was co...
Wikipedia
[ Log In | Register] Journal of Applied Nonlinear Dynamics Access Full Text Reviewer Selection Guideline Ethics & Malpractice Statement Discontinuity, Nonlinearity, and Complexity Journal of Environmental Accounting and Management Most Clicked Articles Journal of Vibration Testing and System Dynamics Books Series Mathe...
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\begin{document} \begin{abstract} We give sharp upper bounds on the anticanonical degree of fake weighted projective spaces, only depending on the dimension and the Gorenstein index. \end{abstract} \maketitle \section{Introduction} A $d$-dimensional \emph{fake weighted projective space} is a quotient $X = ({\mathbb...
arXiv
In Situ Synthesis and Photocatalytic Properties of Titanium Dioxide Nanoparticles on Cotton Fabrics Zhanxia Bao1, Shuhua Wang1, Xiaoying Yu1, Yindong Gao1 & Zeling Wen1 Water, Air, & Soil Pollution volume 230, Article number: 169 (2019) Cite this article In this paper, nanosized titanium dioxide as catalysts for degrad...
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What is the sum of the integers that are both greater than 3 and less than 12? We want to evaluate the arithmetic series $4+5+\dots+11$. The sum of an arithmetic series is equal to the average of the first and last term, multiplied by the number of terms. The number of terms is $11 - 4 + 1 = 8$, so the sum is $(4 + ...
Math Dataset
Cremona group In algebraic geometry, the Cremona group, introduced by Cremona (1863, 1865), is the group of birational automorphisms of the $n$-dimensional projective space over a field $k$. It is denoted by $Cr(\mathbb {P} ^{n}(k))$ or $Bir(\mathbb {P} ^{n}(k))$ or $Cr_{n}(k)$. The Cremona group is naturally identif...
Wikipedia
Leveraging Bayesian networks and information theory to learn risk factors for breast cancer metastasis Xia Jiang1, Alan Wells2,3, Adam Brufsky3,4, Darshan Shetty1, Kahmil Shajihan1 & Richard E. Neapolitan5 Even though we have established a few risk factors for metastatic breast cancer (MBC) through epidemiologic studie...
CommonCrawl
In the MPS (Moving Particle Semi-implicit) method, one of the particle methods, incompressible fluids are solved as "constant density". On the other hand, "velocity divergence zero" is used in the grid methods such as the Finite Volume Method. This difference is a typical characteristic of the MPS method, which is expl...
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Multivariable calculus Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables: the differentiation and integration of functions involving multiple variables (multivariate), rather than just one.[1] Part of a series of a...
Wikipedia
\begin{document} \title{Poisson and quantum geometry of acyclic cluster algebras} \author{Sebastian Zwicknagl} \maketitle \begin{abstract} We prove that certain acyclic cluster algebras over the complex numbers are the coordinate rings of holomorphic symplectic manifolds. We also show that the corresponding quant...
arXiv
Arrangement of lines In geometry, an arrangement of lines is the subdivision of the plane formed by a collection of lines. Problems of counting the features of arrangements have been studied in discrete geometry, and computational geometers have found algorithms for the efficient construction of arrangements. Definit...
Wikipedia
\begin{document} \title[Unique continuation for the Cauchy-Riemann operator] {A remark on unique continuation for the Cauchy-Riemann operator} \author{Ihyeok Seo} \subjclass[2010]{Primary 35B60, 35F05} \keywords{Unique continuation, Cauchy-Riemann operator} \address{Department of Mathematics, Sungkyunkwan Universit...
arXiv
Wiener measure The probability measure $ \mu _ {W} $ on the space $ C[ 0, 1] $ of continuous real-valued functions $ x $ on the interval $ [ 0, 1] $, defined as follows. Let $ 0 < t _ {1} < \dots < t _ {n} \leq 1 $ be an arbitrary sample of points from $ [ 0, 1] $ and let $ A _ {1} \dots A _ {n} $ be Borel sets on the ...
CommonCrawl
\begin{document} \title{Characteristic Formulae for Session Types (extended version)} \begin{abstract} Subtyping is a crucial ingredient of session type theory and its applications, notably to programming language implementations. In this paper, we study effective ways to check whether a session type is a s...
arXiv
Novel Prosopis juliflora leaf ethanolic extract as natural antimicrobial agent against food spoiling microorganisms Genome-scale metabolic reconstruction of 7,302 human microorganisms for personalized medicine Almut Heinken, Johannes Hertel, … Ines Thiele Structural basis for intrinsic transcription termination Linlin ...
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Maggie_McNabb15Plus Variables that are defined inside a function are called ______ variables. A function ______ is a statement that causes a function to execute. A function _______ eliminates the need to place a function definition before all calls to the function. Enclosing a group of statements inside a set of braces...
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\begin{document} \title{$L$-invariants of Hilbert modular forms} \author{Bingyong Xie \\ \small Department of Mathematics, East China Normal University, Shanghai, China \\ \small byxie@math.ecnu.edu.cn} \date{} \maketitle \begin{abstract} In this paper we show that under certain condition the Fontaine--Mazur $L$-inva...
arXiv
Journal of the Brazilian Computer Society Original Paper On the analysis of the collaboration network of the Brazilian symposium on computer networks and distributed systems 30 Editions of history Guilherme Maia1, Pedro O. S. Vaz de Melo1, Daniel L. Guidoni2, Fernanda S.H. Souza2, Thiago H. Silva1, Jussara M. Almeida1 ...
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Interval-valued fuzzy \(\phi\)-tolerance competition graphs Tarasankar Pramanik1, Sovan Samanta2, Madhumangal Pal3, Sukumar Mondal4 & Biswajit Sarkar2 SpringerPlus volume 5, Article number: 1981 (2016) Cite this article This paper develops an interval-valued fuzzy \(\phi\)-tolerance competition graphs which is the exte...
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Sectors & Industries Analysis Fundamental Analysis Tools for Fundamental Analysis How Do Gross Profit and EBITDA Differ? By Chris B. Murphy Gross profit and EBITDA (earnings before interest, taxes, depreciation and amortization) each show the earnings of a company. However, the two metrics calculate profit in different...
CommonCrawl
# Lecture Notes 0 ## Basics of Euclidean Geometry By $\mathbf{R}$ we shall always mean the set of real numbers. The set of all $n$-tuples of real numbers $\mathbf{R}^{n}:=\left\{\left(p^{1}, \ldots, p^{n}\right) \mid p^{i} \in \mathbf{R}\right\}$ is called the Euclidean $n$-space. So we have $$ p \in \mathbf{R}^{n}...
Textbooks
\begin{definition}[Definition:Standard Affine Structure on Vector Space] Let $E$ be a vector space. Let $\EE$ be the underlying set of $E$. Let $+$ denote the addition operation $E \times E \to E$, viewed as a mapping $\EE \times E \to \EE$. Let $-$ denote the subtraction operation $E \times E \to E$, viewed as a mappi...
ProofWiki
Optimal design for dynamical modeling of pest populations MBE Home The role of structural viscoelasticity in deformable porous media with incompressible constituents: Applications in biomechanics August 2018, 15(4): 961-991. doi: 10.3934/mbe.2018043 Quantifying the survival uncertainty of Wolbachia-infected mosquitoes ...
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\begin{document} \title{Bayesian Regression for a Dirichlet Distributed Response using Stan} \paragraph{Abstract} For an observed response that is composed by a set -- or vector -- of positive values that sum up to 1, the Dirichlet distribution~\cite{bolshev2018} is a helpful mathematical construction for the quantif...
arXiv
Publications of the Astronomical Society of Australia Alert added. Go to My account > My alerts to manage your alert preferences. Add alert Recommend this journal Email your librarian or administrator to recommend adding this journal to your organisation's collection. URL: /core/journals/publications-of-the-astronomica...
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\begin{document} \title{Multivariable quantum signal processing (M-QSP): prophecies of the two-headed oracle} \author{Zane M.\ Rossi}\affiliation{ Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA} \orcid{0000-0002-7718-654X} \author{Isaac L.\ Chuang} \affiliation{ Depar...
arXiv
Retirement Planning Annuities Perpetuity Julia Kagan Julia Kagan has written about personal finance for more than 25 years and for Investopedia since 2014. The former editor of Consumer Reports, she is an expert in credit and debt, retirement planning, home ownership, employment issues, and insurance. She is a graduate...
CommonCrawl
laplace transform formula The Laplace transform of f(t), that it is denoted by f(t) or F(s)is defined by the equation. And this seems very general. and write: ℒ `{f(t)}=F(s)` Similarly, the Laplace transform of a function g(t) would be written: ℒ `{g(t)}=G(s)` The Good News. The best way to convert differential equatio...
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Sub-critical and critical stochastic quasi-geostrophic equations with infinite delay Sufficient conditions for global dynamics of a viral infection model with nonlinear diffusion doi: 10.3934/dcdsb.2020214 Global phase portraits and bifurcation diagrams for reversible equivariant hamiltonian systems of linear plus quar...
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Statistical Testing CollinearityTest - Test for the Presence of Multi-colinearity Jacquie Nesbitt Returns the p-value of the multi-collinearity test (i.e. whether one variable can be linearly predicted from the others with a non-trivial degree of accuracy). CollinearityTest(X, Mask, Method, Column Index) is the indepen...
CommonCrawl
\begin{definition}[Definition:Gram/Symbol] The symbol for the '''gram''' is $\mathrm g$. \end{definition}
ProofWiki
\begin{document} \title[Minimal mass blow-up for mBO]{Construction of a minimal mass blow up solution of the modified Benjamin-Ono equation} \author[Y. Martel]{Yvan Martel} \address{CMLS, \'Ecole Polytechnique, CNRS, Universit\'e Paris-Saclay, 91128 Palaiseau, France} \email{yvan.martel@polytechnique.edu} \author[D. ...
arXiv
\begin{document} \title[Controlling Selmer groups in the higher core rank case]{Controlling Selmer groups in the \\ higher core rank case} \author{Barry Mazur} \address{Department of Mathematics, Harvard University, Cambridge, MA 02138 USA} \email{mazur@math.harvard.edu} \author{Karl Rubin} \address{Department o...
arXiv
Journal of Cheminformatics Proteochemometric modelling coupled to in silico target prediction: an integrated approach for the simultaneous prediction of polypharmacology and binding affinity/potency of small molecules Shardul Paricharak1,2, Isidro Cortés-Ciriano3, Adriaan P IJzerman2, Thérèse E Malliavin3 & Andreas Ben...
CommonCrawl
\begin{definition}[Definition:Uniform Absolute Convergence of Product/General Definition/Definition 2] Let $X$ be a set. Let $\struct {\mathbb K, \norm {\, \cdot \,} }$ be a valued field. Let $\sequence {f_n}$ be a sequence of bounded mappings $f_n: X \to \mathbb K$. The infinite product $\ds \prod_{n \mathop = 1}^\inf...
ProofWiki
When are modules and representations not the same thing? I've been trying for a while to get a real concrete handle on the relationship between representations and modules. To frame the question, I'll put here the standard situation I have in mind: A ring $R$ lives in the category Ab of Abelian groups as an internal mo...
CommonCrawl
What would the effects be on Earth if Jupiter was turned into a star? Maelish In Clarke's book 2010, the monolith and its brethren turned Jupiter into the small star nicknamed Lucifer. Ignoring the reality that we won't have any magical monoliths appearing in our future, what would the effects be on Earth if Jupiter wa...
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Corrigendum: On the Abel differential equations of third kind The cyclicity of a class of quadratic reversible centers defining elliptic curves doi: 10.3934/dcdsb.2021155 Online First articles are published articles within a journal that have not yet been assigned to a formal issue. This means they do not yet have a vo...
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application of eigenvalues and eigenvectors in statistics And the eigenvalue is the scale of the stretch: 1 means no change, 2 means doubling in length, −1 means pointing backwards along the eigenvalue's direction. One special extension is multiple correspondence analysis, which may be seen as the counterpart of princi...
CommonCrawl
\begin{document} \title{Non-local control in the conduction coefficients: \\ well posedness and convergence to the local limit} \author{Anton Evgrafov\textsuperscript{1,*} and Jos\'e C. Bellido\textsuperscript{2} \\ \small 1 Department of Mechanical Engineering, Technical University of Denmark \\ \small 2 Departmen...
arXiv
Stochastic averaging principle for dynamical systems with fractional Brownian motion June 2014, 19(4): 1213-1226. doi: 10.3934/dcdsb.2014.19.1213 Pullback attractors for three dimensional non-autonomous planetary geostrophic viscous equations of large-scale ocean circulation Bo You 1, , Chengkui Zhong 2, and Fang Li 3,...
CommonCrawl
Advances in BeiDou Navigation Satellite System (BDS) and satellite navigation augmentation technologies Rui Li1,2, Shuaiyong Zheng1, Ershen Wang3, Jinping Chen4, Shaojun Feng5, Dun Wang6 & Liwen Dai7 Satellite Navigation volume 1, Article number: 12 (2020) Cite this article A Correction to this article was published on...
CommonCrawl
Ruth I. Michler Ruth I. Michler (March 8, 1967 to November 1, 2000)[1][2][3][4] was an American-born mathematician of German descent who lived and worked in the United States. She earned her Ph.D. in Mathematics from the University of California, Berkeley,[5] and she was a tenured associate professor at the University...
Wikipedia
viXra.org > Geometry Abstracts Authors Papers Full Site Previous months: 2010 - 1003(11) - 1004(4) - 1005(2) - 1006(7) - 1007(2) - 1008(5) - 1009(7) - 1010(5) - 1011(1) 2011 - 1101(4) - 1102(3) - 1103(6) - 1104(18) - 1106(2) - 1107(4) - 1108(1) - 1110(2) - 1111(1) 2012 - 1201(2) - 1202(1) - 1203(2) - 1204(2) - 1205(3) ...
CommonCrawl
\begin{document} \title{ An iterative method for solving the stable subspace of a matrix pencil and its application. } \begin{abstract} This work is to propose an iterative method of choice to compute a stable subspace of a regular matrix pencil. This approach is to define a sequence of matrix pencils via particular ...
arXiv
Reduction (computability theory) In computability theory, many reducibility relations (also called reductions, reducibilities, and notions of reducibility) are studied. They are motivated by the question: given sets $A$ and $B$ of natural numbers, is it possible to effectively convert a method for deciding membership ...
Wikipedia
\begin{document} \begin{figure}\label{logo_nano} \end{figure} \begin{center} \Large{Master thesis report\\(arXiv research extract only)} \\\Large{\bfseries{Quantum Technology: Single-Photon Source}} \large{Author: \\ Vincent Camus\\ Master Nanotech 2011-2012 - Grenoble INP Phelma\\ $vincent.camus@phelma.grenoble$-...
arXiv
A Simple Deterministic Algorithm for Systems of Quadratic Polynomials over DOI:10.1137/1.9781611977066.22 In book: Symposium on Simplicity in Algorithms (SOSA) (pp.285-296) Charles Bouillaguet Claire Delaplace This person is not on ResearchGate, or hasn't claimed this research yet. Monika Trimoska Request full-text PDF...
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Chris Stevens (mathematician) Terrie Christine Stevens, also known as T. Christine Stevens, is an American mathematician whose research concerns topological groups, the history of mathematics, and mathematics education.[1] She is also known as the co-founder of Project NExT, a mentorship program for recent doctorates ...
Wikipedia
Knowledge Center / Application Notes / Imaging / Testing and Targets Testing and Targets http://www.edmundoptics.com.sg/knowledge-center/application-notes/imaging/testing-and-targets/ http://www.edmundoptics.com.sg Testing and Targets Test Target Overview This is Section 12.2 of the Imaging Resource Guide. Test targets...
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Probability measure In mathematics, a probability measure is a real-valued function defined on a set of events in a probability space that satisfies measure properties such as countable additivity.[1] The difference between a probability measure and the more general notion of measure (which includes concepts like area...
Wikipedia
\begin{document} \title{Flexible Bayesian Dynamic Modeling of Correlation and Covariance Matrices} \begin{abstract} Modeling correlation (and covariance) matrices can be challenging due to the positive-definiteness constraint and potential high-dimensionality. Our approach is to decompose the covariance matrix into t...
arXiv
\begin{document} \title{Violation of all the second laws of thermal operations by inhomogeneous reservoirs} \author{Angeline Shu} \affiliation{Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542.} \affiliation{Centre for Quantum Technologies, National University of Singapore...
arXiv
Truncated order-7 square tiling In geometry, the truncated order-7 square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{4,7}. Truncated order-7 square tiling Poincaré disk model of the hyperbolic plane TypeHyperbolic uniform tiling Vertex configuration8.8.7 Schläfli symbolt{4,7} ...
Wikipedia
\begin{document} \title[The behavior of $\pi$-submaximal subgroups]{The behavior of $\pi$-submaximal subgroups under homomorphisms with $\pi$-separable kernels} \author{Danila O. Revin} \address{Danila O. Revin \newline\hphantom{iii} Sobolev Institute of Mathematics, \newline\hphantom{iii} 4, Koptyug av. \newline\hph...
arXiv
Evaluating the necessity of bone augmentation for distal radius fracture fixed with a volar locking plate: a retrospective study Feng-Shuo Chang1, Chih-Hui Chen1,2, Cheng-Hung Lee1,3, Kun-Tsan Lee1,4 & Yi-Cheng Cho1 Multiple approaches for fixation of distal radius fractures exist; nonetheless, there is no consensus on...
CommonCrawl
\begin{document} \title{ Estimation of Gaussian quantum states} \author{Dominik \v{S}afr\'{a}nek} \email{dsafrane@ucsc.edu} \affiliation{SCIPP and Department of Physics, University of California, Santa Cruz, CA 95064, USA} \date{\today} \begin{abstract} We derive several expressions for the quantum Fisher informati...
arXiv
Hermite number In mathematics, Hermite numbers are values of Hermite polynomials at zero argument. Typically they are defined for physicists' Hermite polynomials. Formal definition The numbers Hn = Hn(0), where Hn(x) is a Hermite polynomial of order n, may be called Hermite numbers.[1] The first Hermite numbers are...
Wikipedia
How to deal with a huge action space, where, at every step, there is a variable number of legal actions? Active 6 days ago I am working on creating an RL-based AI for a certain board game. Just as a general overview of the game so that you understand what it's all about: It's a discrete turn-based game with a board of ...
CommonCrawl
Click to Take the FREE Crash-Course A Gentle Introduction to the Jacobian By Stefania Cristina on August 2, 2021 in Calculus In the literature, the term Jacobian is often interchangeably used to refer to both the Jacobian matrix or its determinant. Both the matrix and the determinant have useful and important applicati...
CommonCrawl
Sandy Green (mathematician) James Alexander "Sandy" Green FRS (26 February 1926 – 7 April 2014) was a mathematician and Professor at the Mathematics Institute at the University of Warwick, who worked in the field of representation theory. Sandy Green Born(1926-02-26)26 February 1926 Rochester, New York, US Died7 Apri...
Wikipedia
\begin{document} \title[Quantum Time]{Time in Quantum Mechanics} \author{Curt A. Moyer} \affiliation{Department of Physics and Physical Oceanography, UNC Wilmington} \email{moyerc@uncw.edu} \begin{abstract} The failure of conventional quantum theory to recognize time as an observable and to admit time operators is ad...
arXiv
Evaluate $\left\lfloor\left|-\frac{23}{9}\right|\right\rfloor$. First evaluating the absolute value, $\left|-\frac{23}{9}\right|=\frac{23}{9}$. The largest integer less than $\frac{23}{9}$ is then $\boxed{2}$.
Math Dataset
In evolutionary game theory and related fields, one often needs to visualize the dynamics of three-dimensional systems, e.g. competition between three strategies $x_1$, $x_2$ and $x_3$ for which $x_1 + x_2 + x_3 = 1$. This is most conveniently done on a 2-simplex (ternary plot, de Finetti diagram), and the following co...
CommonCrawl
\begin{document} \date{} \title{Sorting with Asymmetric Read and Write Costs\footnote{The original version of this paper is published in SPAA 2015. In this version we fixed some minor typos and errors, and clarified some definitions.}} \author{Guy E. Blelloch\\Carnegie Mellon University\\guyb@cs.cmu.edu \and Je...
arXiv
Compound Poisson process A compound Poisson process is a continuous-time stochastic process with jumps. The jumps arrive randomly according to a Poisson process and the size of the jumps is also random, with a specified probability distribution. To be precise, a compound Poisson process, parameterised by a rate $\lamb...
Wikipedia
Marek and his schoolmates have just finished their studies at the university. They wanted to celebrate it with a game of paintball. After an hour of playing a very strange thing happened – everyone had exactly one bullet left. Marek, being a very curious person, wanted to know whether it's possible that everyone will b...
CommonCrawl
\begin{document} \title{\LARGE \bf ROMAX: Certifiably Robust Deep Multiagent Reinforcement Learning via Convex Relaxation } \thispagestyle{empty} \pagestyle{empty} \begin{abstract} In a multirobot system, a number of cyber-physical attacks (e.g., communication hijack, observation perturbations) can challenge the robu...
arXiv
BMC Medical Research Methodology A preference-based item response theory model to measure health: concept and mathematics of the multi-attribute preference response model Catharina G. M. Groothuis-Oudshoorn ORCID: orcid.org/0000-0002-4875-53791, Edwin R. van den Heuvel2 & Paul F. M. Krabbe3 BMC Medical Research Methodo...
CommonCrawl
Various far-field hydrological responses during 2015 Gorkha earthquake at two distant wells Xudong Huang1 & Yu Zhang ORCID: orcid.org/0000-0002-8528-77461,2 Aquifer hydraulic parameter can change during earthquakes. Continuous monitoring of the response of water level to seismic waves or solid Earth tides provides an o...
CommonCrawl
\begin{definition}[Definition:Contradictory/Statements] Two statements $p$ and $q$ are said to be '''contradictory''' {{iff}}: :whenever $p$ is true, $q$ is false. and: : whenever $q$ is true, $p$ is false. \end{definition}
ProofWiki
In the rectangle below, line segment $MN$ separates the rectangle into $2$ sections. What is the largest number of sections into which the rectangle can be separated when $4$ line segments (including $MN$) are drawn through the rectangle? [asy] size(3cm,3cm); pair A,B,C,D,M,N; A=(0,0); B=(1.5,0); C=(1.5,1); D=(0,1); dr...
Math Dataset
\begin{document} \title{Corrigendum to `Holomorphic Function Spaces on Homogeneous Siegel Domains'} \author{Mattia Calzi \\ Dipartimento di Matematica,\\ Universit\`a degli Studi di Milano,\\ Via C. Saldini 50, 20133 Milano, Italy\\ {\tt mattia.calzi@unimi.it} \and Marco M.\ Peloso\footnote{The authors ar...
arXiv
Experiments in Fluids December 2018 , 59:183 | Cite as Simultaneous micro-PIV measurements and real-time control trapping in a cross-slot channel Farzan Akbaridoust Jimmy Philip David R. A. Hill Ivan Marusic Here we report novel micro-PIV measurements around micron-sized objects that are trapped at the centre of a stag...
CommonCrawl
\begin{definition}[Definition:Sterling/Florin] The '''florin''' is an obsolete unit of the Sterling monetary system. {{begin-eqn}} {{eqn | o = | r = 1 | c = '''florin''' }} {{eqn | r = 2 | c = shillings }} {{eqn | r = \frac 1 {10} | c = pound sterling }} {{eqn | r = 24 | c = (old) pence }...
ProofWiki
Maximum a posteriori estimation In Bayesian statistics, a maximum a posteriori probability (MAP) estimate is an estimate of an unknown quantity, that equals the mode of the posterior distribution. The MAP can be used to obtain a point estimate of an unobserved quantity on the basis of empirical data. It is closely rel...
Wikipedia
The cost of severe haemophilia in Europe: the CHESS study Jamie O'Hara1, David Hughes1, Charlotte Camp ORCID: orcid.org/0000-0003-4250-42181, Tom Burke2, Liz Carroll3 & Daniel-Anibal Garcia Diego4 Severe haemophilia is associated with major psychological and economic burden for patients, caregivers, and the wider healt...
CommonCrawl
# Basic Linux commands for working with files Before diving into regular expressions, it's important to have a solid understanding of basic Linux commands for working with files. These commands will serve as the foundation for utilizing regular expressions effectively. Some essential commands include: - `ls`: List...
Textbooks
\begin{document} \makeatletter \renewcommand{\thesection.\arabic{equation}}{\thesection.\arabic{equation}} \@addtoreset{equation}{section} \makeatother \baselineskip 18pt \begin{titlepage} \begin{center} \baselineskip=16pt {\Large\bf {Dynamical Wave Function Collapse Models in Quantum Measure Theory}} \vskip 10.mm...
arXiv
More bijections for Entringer and Arnold families June 2021, 29(2): 2187-2221. doi: 10.3934/era.2020112 Pullback attractors for stochastic recurrent neural networks with discrete and distributed delays Meiyu Sui 1, , Yejuan Wang 1,, and Peter E. Kloeden 2, School of Mathematics and Statistics, Gansu Key Laboratory of A...
CommonCrawl
A handheld platform for target protein detection and quantification using disposable nanopore strips Real-time Colorimetric Quantitative Molecular Detection of Infectious Diseases on Smartphone-based Diagnostic Platform Kun Yin, Vikram Pandian, … Changchun Liu Integrating programmable DNAzymes with electrical readout f...
CommonCrawl
\begin{document} \thanks{The author was supported by the Alexander von Humboldt Foundation} \keywords{weighted Fourier multipliers, weighted inequalities, Littlewood-Paley square functions, Muckenhoupt weights} \subjclass{42B25 (42B15)} \begin{abstract} The paper provides a complement to the classical results on F...
arXiv