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\begin{document} \title[Cosimplicial meromorphic functions cohomology on complex manifolds] {Cosimplicial meromorphic functions cohomology on complex manifolds} \author{A. Zuevsky} \address{Institute of Mathematics \\ Czech Academy of Sciences\\ Zitna 25, Prague\\ Czech Republ...
arXiv
\begin{document} \title{Approximate Pure Nash Equilibria in Weighted Congestion Games: Existence, Efficient Computation, and Structure hanks{This work was partially supported by the grant NRF-RF2009-08 ``Algorithmic aspects of coalitional games'' and the EC-funded STREP Project FP7-ICT-258307 EULER.} \begin{abstract}...
arXiv
\begin{document} \title{Communication Efficient Distributed Learning for \\Kernelized Contextual Bandits} \author{\name Chuanhao Li \email cl5ev@virginia.edu \\ \addr Department of Computer Science\\ University of Virginia\\ Charlottesville, VA 22903, USA\\ \AND \name Huazheng Wang ...
arXiv
Journal of the Mathematical Society of Japan J. Math. Soc. Japan Volume 69, Number 3 (2017), 913-943. Some consequences from Proper Forcing Axiom together with large continuum and the negation of Martin's Axiom Teruyuki YORIOKA More by Teruyuki YORIOKA Recently, David Asperó and Miguel Angel Mota discovered a new metho...
CommonCrawl
Space Exploration Meta Space Exploration Beta Equation for orbital period around oblate bodies, based on J2? In this answer I point out that the period of items (ring particles, moons, spacecraft, etc.) around an oblate body will not scale exactly as $a^{3/2}$ because the closer you are to the planet, the stronger the ...
CommonCrawl
Geodesics as Hamiltonian flows In mathematics, the geodesic equations are second-order non-linear differential equations, and are commonly presented in the form of Euler–Lagrange equations of motion. However, they can also be presented as a set of coupled first-order equations, in the form of Hamilton's equations. Thi...
Wikipedia
Login | Create Sort by: Relevance Date Users's collections Twitter Group by: Day Week Month Year All time Based on the idea and the provided source code of Andrej Karpathy (arxiv-sanity) PICOSEC: Charged particle timing at sub-25 picosecond precision with a Micromegas based detector (1712.05256) J. Bortfeldt, F. Brunba...
CommonCrawl
\begin{document} \title{\LARGE \bf Behavior and Management of Stochastic Multiple-Origin-Destination Traffic Flows Sharing a Common Link} \author{Li Jin and Yining Wen \thanks{This work was supported in part by NYU Tandon School of Engineering and C2SMART Department of Transportation Center. The authors appreciate di...
arXiv
OSA Publishing > Optics Express > Volume 27 > Issue 26 > Page 38359 Cold-atom clock based on a diffractive optic R. Elvin, G. W. Hoth, M. Wright, B. Lewis, J. P. McGilligan, A. S. Arnold, P. F. Griffin, and E. Riis R. Elvin,1 G. W. Hoth,1 M. Wright,1 B. Lewis,1 J. P. McGilligan,2,3 A. S. Arnold,1,* P. F. Griffin,1 and ...
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Grouped Dirichlet distribution In statistics, the grouped Dirichlet distribution (GDD) is a multivariate generalization of the Dirichlet distribution It was first described by Ng et al. 2008.[1] The Grouped Dirichlet distribution arises in the analysis of categorical data where some observations could fall into any of...
Wikipedia
Sample records for riemann function Exploring the Riemann zeta function 190 years from Riemann's birth Nikeghbali, Ashkan; Rassias, Michael This book is concerned with the Riemann Zeta Function, its generalizations, and various applications to several scientific disciplines, including Analytic Number Theory, Harmonic A...
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Shilov boundary In functional analysis, a branch of mathematics, the Shilov boundary is the smallest closed subset of the structure space of a commutative Banach algebra where an analog of the maximum modulus principle holds. It is named after its discoverer, Georgii Evgen'evich Shilov. Precise definition and existen...
Wikipedia
\begin{definition}[Definition:Square Number/Definition 4] Square numbers are defined as the sequence: :$\forall n \in \N: S_n = \map P {4, n} = \begin{cases} 0 & : n = 0 \\ \map P {4, n - 1} + 2 \paren {n - 1} + 1 & : n > 0 \end{cases}$ where $\map P {k, n}$ denotes the $k$-gonal numbers. \end{definition}
ProofWiki
\begin{document} \title{Introducing the Qplex: A Novel Arena for Quantum Theory} \author{Marcus Appleby} \affiliation{Centre for Engineered Quantum Systems, School of Physics, University of Sydney, Sydney, Australia} \author{Christopher A.\ Fuchs} \affiliation{Physics Department, University of Massachusetts Boston, B...
arXiv
Reaction diffusion equation with non-local term arises as a mean field limit of the master equation Hopf dances near the tips of Busse balloons February 2012, 5(1): 93-113. doi: 10.3934/dcdss.2012.5.93 Singular limit of a two-phase flow problem in porous medium as the air viscosity tends to zero Marie Henry 1, , Daniel...
CommonCrawl
\begin{document} \preprint{APS/123-QED} \author{S. Flannigan} \affiliation{Department of Physics $\&$ SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom.} \author{F. Damanet}\affiliation{Institut de Physique Nucléaire, Atomique et de Spectroscopie, CESAM, University of Liège, B-4000 Liège, ...
arXiv
Webinar in PDEA Webinar in NT French-Korean IRL in Mathematics International Research Laboratory Webinar in Number Theory YoungJu Choie (POSTECH), Bo-Hae Im (KAIST), Laurent Berger (ENS Lyon) Every 1st and 3rd Monday of every month: a 50 mn talk Winter French time: 9:00-10:00, Korean time: 17:00-18:00 Zoom link: ask th...
CommonCrawl
Entropy Measures of Distance Matrix Bünyamin Şahin, Abdulgani Şahi̇n Subject: Keywords: Distance; Wiener Index; Distance Matrix; Entropy Measure Online: 8 November 2021 (13:33:09 CET) Bonchev and Trinajstic defined two distance based entropy measures to measure the molecular branching of molecular graphs in 1977 [Infor...
CommonCrawl
Diagnosing hospital bacteraemia in the framework of predictive, preventive and personalised medicine using electronic health records and machine learning classifiers Oscar Garnica ORCID: orcid.org/0000-0001-5064-25871, Diego Gómez2, Víctor Ramos2, J. Ignacio Hidalgo ORCID: orcid.org/0000-0002-3046-63681 & José M. Ruiz-...
CommonCrawl
\begin{document} \title{The Mean First Rotation Time of a planar polymer} \begin{abstract} We estimate the mean first time, called the mean rotation time (MRT), for a planar random polymer to wind around a point. This polymer is modeled as a collection of $n$ rods, each of them being parameterized by a Brownian angle....
arXiv
WHAT IS A NON EXAMPLE OF A FRACTION You are here: Home > Stewiacke > What is a non example of a fraction Converting Among Non Negative Fractions Decimals and. Illustrated definition of Common Fraction: A fraction where both top and bottom numbers are integers. Example: sup1supsub2sub and sup3supsub4sub..., A number wri...
CommonCrawl
\begin{document} \swapnumbers \theoremstyle{definition} \newtheorem{defi}{Definition}[section] \newtheorem{rem}[defi]{Remark} \newtheorem{ques}[defi]{Question} \newtheorem{expl}[defi]{Example} \newtheorem{conj}[defi]{Conjecture} \newtheorem{claim}[defi]{Claim} \newtheorem{nota}[defi]{Notation} \newtheorem{noth}[defi]{...
arXiv
Pregnant women adherence level to antenatal care visit and its effect on perinatal outcome among mothers in Tigray Public Health institutions, 2017: cohort study Abera Haftu1, Hadgay Hagos1, Mhiret-AB Mehari1 & Brhane G/her1 To assess pregnant women adherence level to antenatal care visit and its effect on perinatal ou...
CommonCrawl
Individual differences in human frequency-following response predict pitch labeling ability On the generalization of tones: A detailed exploration of non-speech auditory perception stimuli Michael Schutz & Jessica Gillard Auditory local–global temporal processing: evidence for perceptual reorganization with musical exp...
CommonCrawl
\begin{definition}[Definition:Ambivalent Group] Let $G$ be a group. Then $G$ is '''ambivalent''' {{iff}} every element of $G$ is conjugate to its inverse: :$\forall g \in G : \exists h \in G : h g h^{-1} = g^{-1}$ That is, {{iff}} every element of $G$ is real. \end{definition}
ProofWiki
A web server for analysis, comparison and prediction of protein ligand binding sites Harinder Singh1, Hemant Kumar Srivastava1 and Gajendra P. S. Raghava1, 2Email author © Singh et al. 2016 One of the major challenges in the field of system biology is to understand the interaction between a wide range of proteins and l...
CommonCrawl
\begin{document} \baselineskip=18pt \title{Dispersion as a survival strategy} \author[Valdivino Vargas Junior]{Valdivino Vargas Junior} \address[Valdivino Vargas Junior]{Institute of Mathematics and Statistics, Federal University of Goias, Campus Samambaia, CEP 74001-970, Goi\^ania, GO, Brazil} \email{vvjunior@ufg....
arXiv
Learn more. See our Privacy Policy and User Agreement for details. Maximum Likelihood (1) Likelihood is a conditional probability. Interval estimators, such as confidence intervals or prediction intervals, aim to give a range of plausible values for an unknown quantity. We define three main desirable properties for poi...
CommonCrawl
\begin{document} \title{Task scheduling for block-type conflict graphs} \author{Hanna Furma\' nczyk\footnote{Institute of Informatics,\ Faculty of Mathematics, Physics and Informatics,\ University of Gda\'nsk,\ 80-309 Gda\'nsk,\ Poland. \ e-mail: hanna.furmanczyk@ug.edu.pl}, Tytus Pikies\footnote{Department of Algori...
arXiv
Development and evaluation of a meat mitochondrial metagenomic (3MG) method for composition determination of meat from fifteen mammalian and avian species Mei Jiang1, Shu-Fei Xu2, Tai-Shan Tang3, Li Miao4, Bao-Zheng Luo5, Yang Ni6, Fan-De Kong2 & Chang Liu1 Bioassessment and biomonitoring of meat products are aimed at ...
CommonCrawl
\begin{definition}[Definition:Triangle (Geometry)/Right-Angled/Adjacent] :400px In a right-angled triangle, for a given non-right angled vertex, the adjacent side which is ''not'' the hypotenuse is referred to as '''the adjacent'''. In the above figure: : the '''adjacent''' to vertex $A$ is side $c$ : the '''adjacent''...
ProofWiki
\begin{definition}[Definition:Insertion of Generators] Let $S$ be a set, and let $S^*$ be its Kleene closure. The '''insertion of generators (into $S^*$)''' is the mapping $i: S \to S^*$ defined by: :$i \left({s}\right) := \left\langle{s}\right\rangle$ that is, it sends any element $s$ of $S$ to the one-term sequence c...
ProofWiki
The influence of arm composition on the self-assembly of low-functionality telechelic star polymers in dilute solutions Invited Article Esmaeel Moghimi1,2, Iurii Chubak3, Dimitra Founta1,2, Konstantinos Ntetsikas4, George Polymeropoulos4, Nikos Hadjichristidis4, Christos N. Likos3 & Dimitris Vlassopoulos1,2 Colloid and...
CommonCrawl
\begin{document} \jmlrheading{1}{2000}{1-48}{4/00}{10/00}{Aryan Mokhtari, Hamed Hassani, and Amin Karbasi} \ShortHeadings{Decentralized Submodular Maximization}{Mokhtari, Hassani, and Karbasi} \firstpageno{1} \title{Decentralized Submodular Maximization:\\ Bridging Discrete and Continuous Settings} \name{Aryan Mokh...
arXiv
MATH FINANCE ENGINEERING FINANCE CHARTS MATH WORKSHEETS CURRENCY CONVERTER MULTIPLICATION TABLES equations tricks history notes register login 3x3 Matrix Multiplication Calculator add to notes TIMES TABLES PRE-ALGEBRA ALGEBRA GEOMETRY MATRIX PROBABILITY & STATISTICS LOAN & MORTGAGE INTEREST INVESTMENT CREDIT & DEBIT PR...
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\begin{definition}[Definition:Dual Relation/Inverse of Complement] Let $\RR \subseteq S \times T$ be a binary relation. Then the '''dual''' of $\RR$ is denoted $\RR^d$ and is defined as: :$\RR^d := \paren {\overline \RR}^{-1}$ where: :$\overline \RR$ denotes the complement of $\RR$ :$\paren {\overline \RR}^{-1}$ denote...
ProofWiki
Use the theory of group trisections to find invariants of $4$-manifold trisections. Define a notion of group trisection for trisections with boundary. Adapt group trisections to the setting of bridge trisections and use it to get invariants of knotted surfaces in $S^4$. Accourding to a classical theorem by Wall, any tw...
CommonCrawl
Experimental Probability Using Sample spaces to determine Probabilities Probabilities of Games Traffic Light Problems Comparisons from Experiments (Investigation) As we are beginning to see, probabilities occur in a wide variety of situations and we can visualise them through a wide variety of diagrams and tables. Prob...
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www.springer.com The European Mathematical Society Pages A-Z StatProb Collection Project talk Weyl group From Encyclopedia of Mathematics The Weyl group of symmetries of a root system. Depending on the actual realization of the root system, different Weyl groups are considered: Weyl groups of a semi-simple splittable L...
CommonCrawl
If the sum of the squares of nonnegative real numbers $a,b,$ and $c$ is $39$, and $ab + bc + ca = 21$, then what is the sum of $a,b,$ and $c$? Since $$(a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca = (39) + 2(21) = 81,$$ it follows that $a+b+c = \pm 9$. Since $a,b,c \ge 0$ we find $a+b+c=\boxed{9}$.
Math Dataset
Home » Hot Topics: Kadison-Singer, Interlacing Polynomials, and Beyond Hot Topics: Kadison-Singer, Interlacing Polynomials, and Beyond March 09, 2015 - March 13, 2015 To apply for Funding you must register by: January 05, 2015 about 8 years ago Hot Topic, Hot Topic MSRI: Simons Auditorium, Atrium Organizers Sorin Popa ...
CommonCrawl
Operator space In functional analysis, a discipline within mathematics, an operator space is a normed vector space (not necessarily a Banach space)[1] "given together with an isometric embedding into the space B(H) of all bounded operators on a Hilbert space H.".[2][3] The appropriate morphisms between operator spaces...
Wikipedia
Leonhard Euler Leonhard Euler (/ˈɔɪlər/ OY-lər,[lower-alpha 1] German: [ˈleːɔnhaʁt ˈɔʏlɐ] (listen);[lower-alpha 2] 15 April 1707 – 18 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influent...
Wikipedia
\begin{document} \title{Stability for $ \Phi_{S, F,H} \tableofcontents \begin{abstract} In this paper, we mainly consider the stability of $ \Phi_{S, F,H} $ harmonic map and $ \Phi_{T,F,H} $ harmonic map from or into $ \Phi $-SSU manifold. We mainly consider the stability of $ \Phi_{S, F,H} $ harmonic map a...
arXiv
\begin{document} \title[]{Positive self-similar Markov processes obtained by resurrection} \author{ Panki Kim \quad Renming Song \quad and \quad Zoran Vondra\v{c}ek} \thanks{P. Kim: This research is supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIP) (No. NRF-2021R1A...
arXiv
Vector fields on spheres In mathematics, the discussion of vector fields on spheres was a classical problem of differential topology, beginning with the hairy ball theorem, and early work on the classification of division algebras. Specifically, the question is how many linearly independent smooth nowhere-zero vector...
Wikipedia
\begin{document} \begin{abstract} In this paper we analyse the Euler implicit scheme for the volume preserving mean curvature flow. We prove the exponential convergence of the scheme to a finite union of disjoint balls with equal volume for any bounded initial set with finite perimeter. \vskip5pt \noindent \textsc{Ke...
arXiv
Maurer–Cartan form In mathematics, the Maurer–Cartan form for a Lie group G is a distinguished differential one-form on G that carries the basic infinitesimal information about the structure of G. It was much used by Élie Cartan as a basic ingredient of his method of moving frames, and bears his name together with tha...
Wikipedia
How big would an amorphous blob have to be to toss part of itself into orbit? First contact with an alien life form often goes badly. In the case of Biothanata, it always goes badly. The first glimpse of this alien blob is in the form of a falling star, a meteorite. After burning off an ablative layer of rock and juicy...
CommonCrawl
Journal of Environmental Health Sciences (한국환경보건학회지) Korean Society of Environmental Health (한국환경보건학회) Environment > Environmental Health Journal of Environmental Health Sciences, JEHS, is an official journal of the Korean Society of Environmental Health. The mission of the journal is to promote research, policy, educa...
CommonCrawl
Sandwich problems on orientations Olivier Durand de Gevigney1, Sulamita Klein2, Viet-Hang Nguyen1 & Zoltán Szigeti1 Journal of the Brazilian Computer Society volume 18, pages 85–93 (2012)Cite this article The graph sandwich problem for property Π is defined as follows: Given two graphs G1=(V,E1) and G2=(V,E2) such that...
CommonCrawl
\begin{document} \vspace*{0mm} \title[Filtrations of the knot concordance group]{Amenable signatures, algebraic solutions, and filtrations of the knot concordance group} \author{Taehee Kim} \address{ Department of Mathematics\\ Konkuk University \\ Seoul 05029\\ Korea } \email {tkim@konkuk.ac.kr} \protect\th...
arXiv
B6 polytope In 6-dimensional geometry, there are 64 uniform polytopes with B6 symmetry. There are two regular forms, the 6-orthoplex, and 6-cube with 12 and 64 vertices respectively. The 6-demicube is added with half the symmetry. Orthographic projections in the B6 Coxeter plane 6-cube 6-orthoplex 6-demicube They...
Wikipedia
Zhigang Wang, Lei Wang, Yachun Li. Renormalized entropy solutions for degenerate parabolic-hyperbolic equationswith time-space dependent coefficients. Communications on Pure & Applied Analysis, 2013, 12(3): 1163-1182. doi: 10.3934\/cpaa.2013.12.1163. L. Bakker. The Katok-Spatzier conjecture, generalized symmetries, and...
CommonCrawl
Only show content I have access to (161) Life Sciences (205) Microscopy and Microanalysis (44) The Journal of Agricultural Science (32) Proceedings of the International Astronomical Union (23) Psychological Medicine (17) Powder Diffraction (15) The Journal of Laryngology & Otology (15) Journal of Mechanics (13) Parasit...
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Trigonometric Fourier Series – Definition and Explanation Signals and SystemsElectronics & ElectricalDigital Electronics A periodic signal can be represented over a certain interval of time in terms of the linear combination of orthogonal functions, if these orthogonal functions are trigonometric functions, then the Fo...
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Moral graph In graph theory, a moral graph is used to find the equivalent undirected form of a directed acyclic graph. It is a key step of the junction tree algorithm, used in belief propagation on graphical models. A directed acyclic graph The corresponding moral graph, with newly added arcs shown in red The morali...
Wikipedia
\begin{document} \begin{titlepage} \title{Generalizing the Hypergraph Laplacian via a Diffusion Process with Mediators} \begin{abstract} In a recent breakthrough STOC~2015 paper, a continuous diffusion process was considered on hypergraphs (which has been refined in a recent JACM 2018 paper) to define a Laplacian o...
arXiv
\begin{document} \title{Algebras simple with respect to a Taft algebra action} \author{A.\,S.~Gordienko} \address{Vrije Universiteit Brussel, Belgium} \email{alexey.gordienko@vub.ac.be} \keywords{Associative algebra, polynomial identity, skew-derivation, Taft algebra, $H$-module algebra, codimension.} \begin{abstr...
arXiv
Work, energy and power 5.5 Power (ESCMJ) Now that we understand the relationship between work and energy, we are ready to look at a quantity related the rate of energy transfer. For example, a mother pushing a trolley full of groceries can take \(\text{30}\) \(\text{s}\) or \(\text{60}\) \(\text{s}\) to push the trolle...
CommonCrawl
\begin{document} \def\mathcal {A}{\mathcal {A}} \def\mathcal {B}{\mathcal {B}} \def{\mathcal C}{\mathcal {C}} \def\mathbb P{\mathbb P} \def\mathbb N{\mathbb N} \def\mathbb H{\mathbb H} \def\mathbb V{\mathbb V} \def\mathcal {H}{\mathcal {H}} \def\mathcal {K}{\mathcal {K}} \def\mathcal {M}{\mathcal {M}} \def\mathbb {R}{...
arXiv
A bug starts at a vertex of an equilateral triangle. On each move, it randomly selects one of the two vertices where it is not currently located, and crawls along a side of the triangle to that vertex. Given that the probability that the bug moves to its starting vertex on its tenth move is $m/n,$ where $m$ and $n$ are...
Math Dataset
\begin{document} \begin{titlingpage} \title{ Solitons of Curve Shortening Flow and Vortex Filament Equation\\ \Large UROP+ Final Paper, Summer 2017} \begin{abstract} In this paper we explore the nature of self-similar solutions of the Curve Shortening Flow and the Vortex Filament Equation, also known as the Bi...
arXiv
Annie Raoult Annie Raoult (born 14 December 1951)[1] is a French applied mathematician specializing in the mathematical modeling of cell membranes, graphene sheets, and other thin nanostructures. She is vice president of the Centre International de Mathématiques Pures et Appliquées and professor emerita at Paris Desca...
Wikipedia
\begin{document} \title{Intersection Graphs of Non-Crossing Paths\thanks{A preliminary version of this article appeared at WG 2019~\cite{wg2019}, and a preprint is available at~\href {http://arxiv.org/abs/1907.00272}{arxiv.org/abs/1907.00272}}} \author{Steven Chaplick\orcidID{0000-0003-3501-4608} \thanks{Part of this...
arXiv
Sargan–Hansen test The Sargan–Hansen test or Sargan's $J$ test is a statistical test used for testing over-identifying restrictions in a statistical model. It was proposed by John Denis Sargan in 1958,[1] and several variants were derived by him in 1975.[2] Lars Peter Hansen re-worked through the derivations and showe...
Wikipedia
Nonlinear XUV signal generation probed by transient grating spectroscopy with attosecond pulses Ashley P. Fidler ORCID: orcid.org/0000-0001-6539-29041,2, Seth J. Camp3, Erika R. Warrick1,2, Etienne Bloch1, Hugo J. B. Marroux1,2, Daniel M. Neumark ORCID: orcid.org/0000-0002-3762-94731,2, Kenneth J. Schafer3, Mette B. Ga...
CommonCrawl
A Verified Implementation of the Berlekamp–Zassenhaus Factorization Algorithm | springerprofessional.de Skip to main content PDF-Version jetzt herunterladen vorheriger Artikel Automated Reasoning with Power Maps nächster Artikel Formalizing the Cox–Ross–Rubinstein Pricing of ... PatentFit aktivieren Weitere Artikel die...
CommonCrawl
Temperature rise after a doubling of CO2 Frequency distribution of equilibrium climate sensitivity, based on simulations of doubling CO 2.[1] Each model simulation has a different guess at processes that scientists don't understand sufficiently well. Few of the simulations result in less than 2 °C of warming or signifi...
CommonCrawl
\begin{document} \renewcommand{\arabic{section}}{\arabic{section}} \newcommand{\partial}{\partial} \newcommand{\vskip 1pc}{\vskip 1pc} \newcommand{\mbox{co}}{\mbox{co}} \newcommand{\calT} {\mathcal T} \title{Boundary regularity criteria for suitable weak solutions of the magnetohydrodynamic equations} \author{Kyun...
arXiv
\begin{document} \pagebreak \title{On smoothness of isometries between orbit spaces } \author{Marcos Alexandrino and Alexander Lytchak} \keywords{Isometric groups action, singular Riemannian foliations, invariant function, basic form} \begin{abstract} We discuss the connection between the smooth and metric struct...
arXiv
\begin{document} \setlength{\baselineskip}{1\baselineskip} \thispagestyle{empty} \title{Between classical and quantum\footnote{To appear in Elsevier's forthcoming {\it Handbook of the Philosophy of Science}, Vol.\ 2: {\it Philosophy of Physics} (eds.\ John Earman \&\ Jeremy Butterfield). The author is indebted to S...
arXiv
Square (algebra) In mathematics, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation. Squaring is the same as raising to the power 2, and is denoted by a superscript 2; for instance, the square of 3 may be written as 32, which is the number 9. In some cases w...
Wikipedia
\begin{document} \title[On Explicit Random-like Tournaments] {On Explicit Random-like Tournaments} \maketitle \begin{abstract} We give a new theorem describing a relation between the quasi-random property of regular tournaments and their spectra. This provides many solutions to a constructing problem mentioned by Er...
arXiv
\begin{document} \title{Improving sum uncertainty relations with the quantum Fisher information} \author{Shao-Hen Chiew} \affiliation{Laboratoire Kastler Brossel, ENS-Universit\'{e} PSL, CNRS, Sorbonne Universit\'{e}, Coll\`{e}ge de France, 24 Rue Lhomond, 75005, Paris, France} \affiliation{Department of Physics, Nati...
arXiv
\begin{definition}[Definition:Integral Operator] Let $X, Y$ be sets of mappings, real or complex numbers. Let $A : X \to Y$ be a mapping such that $A$ is expressible as an integral of elements of $X$ (possibly involving weight functions and kernels). Then $A$ is known as an '''integral operator'''. Category:Definitions...
ProofWiki
A simple structural estimator of disclosure costs E. Cheynel ORCID: orcid.org/0000-0001-5763-32531 & M. Liu-Watts2 Review of Accounting Studies (2020)Cite this article This study recovers a simple firm-level measure of disclosure costs implied by the voluntary disclosure theory of Verrecchia (Journal of Accounting and ...
CommonCrawl
Measure of spread of a multivariate normal distribution What is a good measure of spread for a multivariate normal distribution? I was thinking about using an average of the component standard deviations; perhaps the trace of the covariance matrix divided by the number of dimensions, or a version of that. Is that any g...
CommonCrawl
Lignocellulose integration to 1G-ethanol process using filamentous fungi: fermentation prospects of edible strain of Neurospora intermedia Ramkumar B. Nair1,2, Osagie A. Osadolor1, Vamsi K. Ravula1, Patrik R. Lennartsson1 & Mohammad J. Taherzadeh1 Integration of first- and second-generation ethanol processes is one amo...
CommonCrawl
barak manos logonos.com Mathematics 41.2k 41.2k 77 gold badges4444 silver badges109109 bronze badges Code Review 1.2k 1.2k 11 gold badge66 silver badges1818 bronze badges MathOverflow 580 580 22 silver badges1414 bronze badges 109 Is there a "positive" definition for irrational numbers? 87 Quickly find whether a value ...
CommonCrawl
\begin{definition}[Definition:Smallest Natural Number] Let $S \subseteq \N$ be a subset of the natural numbers $\N$. The '''smallest''' element $m$ of $S$ is defined as: :$\forall n \in S: m \le n$ That is, it is the minimal element of $S$ under the usual ordering. \end{definition}
ProofWiki
Mixed effects of remittances on child education José R. Bucheli ORCID: orcid.org/0000-0002-3311-80861, Alok K. Bohara1 & Matías Fontenla1 IZA Journal of Development and Migration volume 8, Article number: 10 (2018) Cite this article We exploit the size of the 2010 Ecuadorian Census to estimate the effect of remittances...
CommonCrawl
THEORY DEPARTMENT Research Codes Neutral Transport Magnetohydrodynamics Basic Plasma Physics Turbulence & Transport Energetic Particles Helio & Astro Plasmas A peeling-ballooning eigenfunction calculated using M3D-C$^1$. The red and blue show the perturbed pressure, and the magenta curve the location of the last closed...
CommonCrawl
How to calculate radius of a spherical surface having four circles touching one another? There are four circles having radii $r_1, r_2, r_3 $ and $r_4$ touching one another on a spherical surface of radius $R$ (as shown in the picture below, four colored circles touching one another at 6 points on the sphere). Any help...
CommonCrawl
A circle is inscribed in quadrilateral $ABCD$, tangent to $\overline{AB}$ at $P$ and to $\overline{CD}$ at $Q$. Given that $AP=19$, $PB=26$, $CQ=37$, and $QD=23$, find the square of the radius of the circle. Call the center of the circle $O$. By drawing the lines from $O$ tangent to the sides and from $O$ to the vert...
Math Dataset
Active transport driven by ATP hydrolysis Free energy stored in the activated carrier ATP can be used to drive the transport of an ion or small molecule against a gradient - i.e., transport from a region of low to high concentration. Membrane-embedded transporter proteins can function as machines because binding and ca...
CommonCrawl
\begin{document} \title{Accelerating Large Scale Real-Time GNN Inference using Channel Pruning} \author{Hongkuan Zhou} \author{Ajitesh Srivastava} \author{Hanqing Zeng} \affiliation{ \institution{University of Southern California} \city{Los Angeles} \country{USA} } \email{{hongkuaz,ajiteshs,zengh}@usc.edu} \au...
arXiv
\begin{definition}[Definition:Self-Map] Let $S$ be a set. A '''self-map on $S$''' is a mapping from $S$ to itself: :$f: S \to S$ \end{definition}
ProofWiki
\begin{document} \title{Methods for Efficient Unfolding of Colored Petri Nets} Colored Petri nets offer a compact and user friendly representation of traditional Petri nets also known as P/T nets. Colored Petri nets with finite color ranges can be unfolded into traditional P/T nets. However, this unfolding may produ...
arXiv
\begin{document} \title{The geometry of marked contact Engel structures} \vskip 1.truecm \author{\textsc{Gianni Manno}\\ Dipartimento di Scienze Matematiche (DISMA),\\ Politecnico di Torino,\\ Corso Duca degli Abruzzi, 24, 10129 Torino, Italy\\ \textsf{giovanni.manno@polito.it}\\[0.5cm] \text...
arXiv
Evaluate $\left\lceil\sqrt{\frac{9}{4}}\right\rceil+\left\lceil\frac{9}{4}\right\rceil+\left\lceil\left(\frac{9}{4}\right)^2\right\rceil$. The equation can be rewritten as $\left\lceil\frac{3}{2}\right\rceil+\left\lceil\frac{9}{4}\right\rceil+\left\lceil\frac{81}{16}\right\rceil$. The smallest integer greater than $\f...
Math Dataset
\begin{document} \date{} \baselineskip 14pt \newcommand{\displaystyle}{\displaystyle} \thispagestyle{empty} \title{Differential Harnack estimates for conjugate heat equation under the Ricci flow} \author{Abimbola Abolarinwa\thanks{Department of Mathematics, University of Sussex, Brighton, BN1 9QH, United Kingdom.} ...
arXiv
\begin{document} \title{Binary and ternary quasi-perfect codes with small dimensions} \begin{center} {\large Tsonka Baicheva, Iliya Bouyukliev, Stefan Dodunekov} \\ {\it Institute of Mathematics and Informatics\\ Bulgarian Academy of Sciences, Bulgaria}\\ {\large Veerle Fack}\\ {\it Vakgroep Toegepaste Wiskunde en In...
arXiv
\begin{document} \title{\bf Cohomology of compatible BiHom-Lie algebras} \author{\bf Asif Sania, Basdouri Imed, Bouzid Mosbahi, Nacib Saber } \author{{ Asif Sania \footnote{Corresponding author, E-mail: 11835037@zju.edu.cn}, Basdouri Imed $^{1}$ \footnote { Corresponding author, E-mail: basdourimed@yahoo.fr...
arXiv
\begin{document} \begin{abstract} \noindent We give an explicit version of Shimura's reciprocity law for singular values of Siegel modular functions. We use this to construct the first examples of class invariants of quartic CM fields that are smaller than Igusa invariants. Our statement also enables a new pro...
arXiv
Three positive integers $a$, $b$, and $c$ satisfy $a\cdot b\cdot c=8!$ and $a<b<c$. What is the smallest possible value of $c-a$? Our goal is to divide the factors of 8! into three groups in such a way that the products of the factors in each group are as close together as possible. Write $8!$ as $8\cdot 7 \cdot 6 \...
Math Dataset
\begin{document} \begin{abstract} Since the 1980s, it has been known that essential surfaces in alternating link complements can be isotoped to be transverse to the link diagram almost everywhere, with the exception of some well-understood intersections, and described combinatorially as a result. This was called stand...
arXiv
Fernique's theorem Fernique's theorem is a result about Gaussian measures on Banach spaces. It extends the finite-dimensional result that a Gaussian random variable has exponential tails. The result was proved in 1970 by Xavier Fernique. Statement Let (X, || ||) be a separable Banach space. Let μ be a centred Gaussi...
Wikipedia
\begin{document} \makeatletter \definecolor{brick}{RGB}{204,0,0} \def\@cite#1#2{{ \m@th\upshape\mdseries[{\small\sffamily #1}{\if@tempswa, \small\sffamily \color{brick} #2\fi}]}} \newcommand{\sandor}{{\color{blue}{S\'andor \mdyydate\today}}} \newenvironment{refmr}{}{} \newcommand{\biblio}{ } \setitemize[1]{...
arXiv
Let $\triangle XOY$ be a right-angled triangle with $m\angle XOY = 90^{\circ}$. Let $M$ and $N$ be the midpoints of legs $OX$ and $OY$, respectively. Given that $XN=19$ and $YM=22$, find $XY$. Let $OM = a$ and $ON = b$. Then $$ 19^2 = (2a)^2 + b^2 \quad \text{and} \quad 22^2 = a^2 + (2b)^2. $$ [asy] unitsize(0.3cm); p...
Math Dataset