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\begin{document} \title{Tilting modules for Lie superalgebras} \author{\sc Jonathan Brundan} \address {Department of Mathematics\\ University of Oregon\\ Eugene\\ OR~97403, USA} \email{brundan@darkwing.uoregon.edu} \thanks{Work partially supported by the NSF (grant no. DMS-0139019).} \maketitle \section{Introduction}...
arXiv
1345 paper(s) uploaded by arkivadmin. Non-conjugacy of maximal abelian diagonalizable subalgebras in extended affine Lie algebras Uladzimir Yahorau Department of Mathematics, University of Ottawa Rings and Algebras mathscidoc:1701.01009 Arkiv for Matematik, 1-11, 2015.2 [ Download ] [ 2017-01-08 20:34:06 uploaded by ar...
CommonCrawl
Monoid ring In abstract algebra, a monoid ring is a ring constructed from a ring and a monoid, just as a group ring is constructed from a ring and a group. Definition Let R be a ring and let G be a monoid. The monoid ring or monoid algebra of G over R, denoted R[G] or RG, is the set of formal sums $\sum _{g\in G}r_{...
Wikipedia
A community intervention to reduce alcohol consumption and drunkenness among adolescents in Sweden: a quasi-experiment Robert Svensson ORCID: orcid.org/0000-0002-6080-27801, Björn Johnson2 & Karl Kronkvist1 Several studies have examined the effect of community interventions on youth alcohol consumption, and the results...
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Cross Validated is a question and answer site for people interested in statistics, machine learning, data analysis, data mining, and data visualization. It only takes a minute to sign up. Hypothesis testing via separate inference for each group and then combining Suppose there are two groups, A and B, and we are intere...
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Surgery on Herman rings of the standard Blaschke family Linking curves, sutured manifolds and the Ambrose conjecture for generic 3-manifolds January 2018, 38(1): 43-62. doi: 10.3934/dcds.2018002 Stability and bifurcation on predator-prey systems with nonlocal prey competition Shanshan Chen 1,2, and Jianshe Yu 1,, Schoo...
CommonCrawl
\begin{document} \title{Counterexamples to the List Square Coloring Conjecture} \begin{abstract} The square $G^2$ of a graph $G$ is the graph defined on $V(G)$ such that two vertices $u$ and $v$ are adjacent in $G^2$ if the distance between $u$ and $v$ in $G$ is at most 2. Let $\chi(H)$ and $\chi_l(H)$ be the chrom...
arXiv
Phase-field models on graphs Phase-field models on graphs are a discrete analogue to phase-field models, defined on a graph. They are used in image analysis (for feature identification) and for the segmentation of social networks. Graph Ginzburg–Landau functional For a graph with vertices V and edge weights $\omega ...
Wikipedia
Self-adjoint In mathematics, and more specifically in abstract algebra, an element x of a *-algebra is self-adjoint if $x^{*}=x$. A self-adjoint element is also Hermitian, though the reverse doesn't necessarily hold. A collection C of elements of a star-algebra is self-adjoint if it is closed under the involution ope...
Wikipedia
Dietary selenium intake based on the Chinese Food Pagoda: the influence of dietary patterns on selenium intake Jing Wang1,2, Linsheng Yang1,2, Hairong Li1,2, Yonghua Li1 & Binggan Wei1 Selenium (Se) is essential for humans, with many critical roles in physiological and pathophysiological processes. Fish, eggs and meats...
CommonCrawl
\begin{document} \maketitle \begin{abstract} We present an algorithm that computes the Lempel-Ziv decomposition in $O(n(\log\sigma + \log\log n))$ time and $n\log\sigma + \epsilon n$ bits of space, where $\epsilon$ is a constant rational parameter, $n$ is the length of the input string, and $\sigma$ is the alphabet s...
arXiv
Article Info. Molecules and Cells Pages.428-435 Korean Society for Molecular and Cellular Biology (한국분자세포생물학회) Membrane Topology of Helix 0 of the Epsin N-terminal Homology Domain Kweon, Dae-Hyuk (Department of Genetic Engineering, Faculty of Life Science and Technology, Sungkyunkwan University) ; Shin, Yeon-Kyun (Depa...
CommonCrawl
Heinrich Guggenheimer Heinrich Walter Guggenheimer (July 21, 1924 – March 4, 2021) was a German-born Swiss-American[1] mathematician who has contributed to knowledge in differential geometry, topology, algebraic geometry, and convexity. He has also contributed volumes on Jewish sacred literature. Guggenheimer was bor...
Wikipedia
# Linear programming and its applications in optimization Linear programming (LP) is a mathematical optimization technique that deals with optimization problems of the form: $$\text{minimize } \quad \mathbf{c}^T \mathbf{x}$$ $$\text{subject to } \quad \mathbf{A} \mathbf{x} \leq \mathbf{b}$$ $$\mathbf{x} \geq \mat...
Textbooks
\begin{document} \title{Convergence of local supermartingales and Novikov-Kazamaki type conditions for processes with jumps\thanks{We thank Tilmann Bl\"ummel, Pavel Chigansky, Sam Cohen, Christoph Czichowsky, Freddy Delbaen, Moritz D\"umbgen, Hardy Hulley, Jan Kallsen, Ioannis Karatzas, Kostas Kardaras, Kasper Larsen...
arXiv
Learning beyond the Brick and Mortar: A Review of Prospects and Challenges of E-learning Innovation Lamin B. Ceesay Subject: Social Sciences, Education Studies Keywords: e-learning; information technology services; e-learning adoption; e-learning diffusion; systematic review; bibliometric analysis Increased proliferati...
CommonCrawl
We are making some changes to CLU-IN. If you have any feedback or questions, please contact us. Privacy policy | Latest updates Contaminated Site Clean-Up Information Contaminated Site Clean-Up Ecological Land Use Measurement and Monitoring Technologies for the 21st Century Business Planning and Funding Connect | Remed...
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Radical symbol In mathematics, the radical symbol, radical sign, root symbol, radix, or surd is a symbol for the square root or higher-order root of a number. The square root of a number x is written as ${\sqrt {11}},$ while the nth root of x is written as ${\sqrt[{n}]{x}}.$ It is also used for other meanings in m...
Wikipedia
FoDS Home On adaptive estimation for dynamic Bernoulli bandits June 2019, 1(2): 227-247. doi: 10.3934/fods.2019010 EmT: Locating empty territories of homology group generators in a dataset Xin Xu , and Jessi Cisewski-Kehe Department of Statistics and Data Science, Yale University, New Haven, CT 06511, USA * Correspondi...
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Research | Open | Published: 25 February 2019 Mohamed Iadh Ayari1, Zead Mustafa2 & Mohammed Mahmoud Jaradat2 Fixed Point Theory and Applicationsvolume 2019, Article number: 7 (2019) | Download Citation The primary objective of this paper is the study of the generalization of some results given by Basha (Numer. Funct. A...
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What's in a face? The role of facial features in ratings of dominance, threat, and stereotypicality Heather Kleider-Offutt ORCID: orcid.org/0000-0001-8002-10791, Ashley M. Meacham1, Lee Branum-Martin1 & Megan Capodanno1 Faces judged as stereotypically Black are perceived negatively relative to less stereotypical faces....
CommonCrawl
Mini Physics O Lvl Formula List Definitions List Practice MCQs A Lvl Short Question & Answer About Mini Physics Home O Level Work, Energy & Power Worked Examples for Work Worked Examples for Work January 19, 2020 January 16, 2020 by Mini Physics Show/Hide Sub-topics (Work, Energy & Power | O Level) Case Study 1: Energy...
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\begin{document} \title{Global regularity for a slightly supercritical hyperdissipative Navier--Stokes system} \begin{abstract} We prove global existence of smooth solutions for a slightly supercritical hyperdissipative Navier--Stokes under the optimal condition on the correction to the dissipation. This pro...
arXiv
\begin{document} \title[Menger algebras of $n$-place functions] {Menger algebras of $n$-place functions} \author{Wies{\l}aw A. Dudek} \address{Institute of Mathematics and Computer Science\\ Wroc{\l}aw University of Technology\\ Wybrze\.ze Wyspia\'nskiego 27 \\ 50-370 Wroc{\l}aw, Polan...
arXiv
Anniversaries (Ukrainian) Yurii Dmitrievich Sokolov (on his 100th birthday) Gorbachuk M. L., Luchka A. Y., Mitropolskiy Yu. A., Samoilenko A. M. Ukr. Mat. Zh. - 1996νmber=6. - 48, № 11. - pp. 1443-1445 Chronicles (Ukrainian) Just people of the world Zukhovitskii S. I. Article (Russian) On the optimal rate of convergenc...
CommonCrawl
\begin{document} \title{Stability of Vortex Solutions to an Extended Navier-Stokes System \thanks{ The authors thank the AMS Math Research Communities program (NSF grant DMS 1007980) where this research was initiated, and Center for Nonlinear Analysis (NSF Grants No. DMS-0405343 and DMS-0635983) where part of th...
arXiv
\begin{definition}[Definition:Line at Infinity] Let $\LL$ be a straight line embedded in a cartesian plane $\CC$ given in homogeneous Cartesian coordinates by the equation: :$l X + m Y + n Z = 0$ Let $l = m = 0$. Then from Intersection of Straight Line in Homogeneous Cartesian Coordinates with Axes, $\LL$ intersects bo...
ProofWiki
Free body diagram¶ Marcos Duarte Figures from De motu animalium by Giovanni Alfonso Borelli (1608-1679), the father of biomechanics, depicting a static analysis of forces acting on the human body. In the mechanical modelling of an inanimate or living system, composed by one or more bodies (bodies as units that are mech...
CommonCrawl
Data-driven prediction of COVID-19 cases in Germany for decision making Lukas Refisch1,2 na1, Fabian Lorenz1,3 na1, Torsten Riedlinger4, Hannes Taubenböck4,5, Martina Fischer6, Linus Grabenhenrich6,7, Martin Wolkewitz1, Harald Binder1,8 & Clemens Kreutz1,3,8 The COVID-19 pandemic has led to a high interest in mathemati...
CommonCrawl
\begin{document} \title{Sensitivity Analysis of the Maximum Matching Problem} \begin{abstract} We consider the \emph{sensitivity} of algorithms for the maximum matching problem against edge and vertex modifications. When an algorithm $A$ for the maximum matching problem is deterministic, the sensitivity of $A$ on ...
arXiv
\begin{document} \title{Multivariate Nonparametric Estimation of the Pickands Dependence Function using Bernstein Polynomials} \author{ G. Marcon, S. A. Padoan, P. Naveau, P. Muliere and J. Segers \footnote{Marcon is Post-doc at university of Pavia, Italy, E-mail: giulia.marcon@phd.unibocconi.it. Muliere and Padoan w...
arXiv
AnkPlex: algorithmic structure for refinement of near-native ankyrin-protein docking Tanchanok Wisitponchai1,2, Watshara Shoombuatong3, Vannajan Sanghiran Lee4,5, Kuntida Kitidee2,6 & Chatchai Tayapiwatana1,2 Computational analysis of protein-protein interaction provided the crucial information to increase the binding ...
CommonCrawl
Only show content I have access to (14) Physics and Astronomy (13) Materials Research (7) Statistics and Probability (4) Parasitology (26) Scottish Journal of Theology (11) MRS Online Proceedings Library Archive (6) The British Journal of Psychiatry (6) Weed Technology (6) Epidemiology & Infection (3) Psychological Med...
CommonCrawl
RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB Kiselev, Denis Dmitrievich Total publications: 20 (20) in MathSciNet: 15 (15) in zbMATH: 15 (15) in Web of Science: 14 (14) in Scopus: 20 (20) Cited articles: 15 Citations in Math-Net.Ru: 39 Citations in Web of Science: 5 Citations ...
CommonCrawl
Gaze behavior during visuomotor tracking with complex hand-cursor dynamics James Mathew; J. Randall Flanagan; Frederic R. Danion James Mathew Aix-Marseille Université, CNRS, Institut de Neurosciences de la Timone, Marseille, France Current affiliation: Institute of Neuroscience, Institute of Communication & Information...
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the open journal for quantum science Perspectives & editorials Outreach: Leaps! For authors of Views Characterization of solvable spin models via graph invariants Adrian Chapman and Steven T. Flammia Centre for Engineered Quantum Systems, School of Physics, The University of Sydney, Sydney, Australia Published: 2020-06...
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Péter Pál Pálfy Péter Pál Pálfy (Debrecen, 23 August 1955) is a Hungarian mathematician, working in algebra, more precisely in group theory and universal algebra. Between 2006 and 2018 he served as the director of the Alfréd Rényi Institute of Mathematics.[1] Career Pálfy graduated from Eötvös University, Budapest i...
Wikipedia
\begin{document} \maketitle \begin{abstract} We prove some de Rham theorems on bounded subanalytic submanifolds of $\R^n$ (not necessarily compact). We show that the $L^1$ cohomology of such a submanifold is isomorphic to its singular homology. In the case where the closure of the underlying manifold has only is...
arXiv
Tetsuji Shioda Tetsuji Shioda (塩田 徹治) is a Japanese mathematician who introduced Shioda modular surfaces and who used Mordell–Weil lattices to give examples of dense sphere packings. He was an invited speaker at the ICM in 1990. References • Home page of Tetsuji Shioda • Tetsuji Shioda at the Mathematics Genealo...
Wikipedia
Treating differentials as fractions Earlier in our tutorials, we discussed the treatment of differentials like $dx$ and $dy$, and whether you could simply manipulate the differentials as you would ordinary numbers. From a rigorous sense, separating differentials should not be done until you can develop the theory of ho...
CommonCrawl
Home 1 › NTC Thermistor 2 › NTC Thermistor 3 What are NTC Thermistors? NTC stands for "Negative Temperature Coefficient". NTC thermistors are resistors with a negative temperature coefficient, which means that the resistance decreases with increasing temperature. They are primarily used as resistive temperature sensors...
CommonCrawl
Ruth I. Michler Memorial Prize The Ruth I. Michler Memorial Prize is an annual prize in mathematics, awarded by the Association for Women in Mathematics to honor outstanding research by a female mathematician who has recently earned tenure. The prize funds the winner to spend a semester as a visiting faculty member at...
Wikipedia
Let $a$ and $b$ be the roots of $x^2 - 4x + 5 = 0.$ Compute \[a^3 + a^4 b^2 + a^2 b^4 + b^3.\] by Vieta's formulas, $a + b = 4$ and $ab = 5.$ Then \begin{align*} a^3 + b^3 &= (a + b)(a^2 - ab + b^2) \\ &= (a + b)(a^2 + 2ab + b^2 - 3ab) \\ &= (a + b)((a + b)^2 - 3ab) \\ &= 4 \cdot (4^2 - 3 \cdot 5) \\ &= 4, \end{alig...
Math Dataset
10 Jan Singular Matrix Pencils and the QZ Algorithm, Update 5 Jan Singular Matrix Pencils and the QZ Algorithm 9 Dec Color Cube Meets Rubik's Cube 23 Oct Christian Reinsch, Roland Bulirsch, and the SVD 21 Oct An Interactive Version of colorcubes 141History 27Precision 85People 39Eigenvalues 87Numerical Analysis 42Algor...
CommonCrawl
Find the sum of the slope and $y$-intercept of the line through the points $(7,8)$ and $(9,0)$. The slope of the line through $(7,8)$ and $(9,0)$ is $\frac{8-0}{7-9}=\frac{8}{-2}=-4$. Thus, the line has equation $y=-4x+b$ for some $b$. Since $B(9,0)$ lies on this line, we have $0=-4(9)+b $, so $b=36$. Hence, the eq...
Math Dataset
The crown-root morphology of central incisors in different skeletal malocclusions assessed with cone-beam computed tomography Xiao-ming Wang1, Ling-zhi Ma2, Jing Wang3 & Hui Xue4 To determine the discrepancy of crown-root morphology of central incisors among different types of skeletal malocclusion using cone-beam comp...
CommonCrawl
Article | Open | Published: 29 August 2017 Electronic properties of (Sb;Bi)2Te3 colloidal heterostructured nanoplates down to the single particle level Wasim J. Mir1,2 na1, Alexandre Assouline3 na1, Clément Livache1,3, Bertille Martinez1, Nicolas Goubet1,3, Xiang Zhen Xu3, Gilles Patriarche4, Sandrine Ithurria3, Hervé ...
CommonCrawl
Regional patterns and trends of hearing loss in England: evidence from the English longitudinal study of ageing (ELSA) and implications for health policy Dialechti Tsimpida ORCID: orcid.org/0000-0002-3709-56511, Evangelos Kontopantelis2, Darren M. Ashcroft3 & Maria Panagioti3 Hearing loss (HL) is a significant public h...
CommonCrawl
Maoberry (Antidesma bunius) ameliorates oxidative stress and inflammation in cardiac tissues of rats fed a high-fat diet Arunwan Udomkasemsab1, Chattraya Ngamlerst2, Poom Adisakwattana3, Amornrat Aroonnual1, Rungsunn Tungtrongchitr1 and Pattaneeya Prangthip1Email authorView ORCID ID profile BMC Complementary and Altern...
CommonCrawl
\begin{document} \runningauthor{Bartels, Stensbo-Smidt, Moreno-Mu\~noz, Boomsma, Frellsen, Hauberg} \twocolumn[ \aistatstitle{Adaptive Cholesky Gaussian Processes} \aistatsauthor{Simon Bartels \And Kristoffer Stensbo-Smidt \And Pablo Moreno-Mu\~noz} \aistatsaddress{University of Copenhagen \And Technical Uni...
arXiv
BMC Plant Biology Dynamics of gene expression associated with arsenic uptake and transport in rice during the whole growth period Dandan Pan1,2,3,4, Jicai Yi5, Fangbai Li2, Xiaomin Li1,4, Chuanping Liu2, Weijian Wu2 & Tingting Tao2,6 BMC Plant Biology volume 20, Article number: 133 (2020) Cite this article Genes associ...
CommonCrawl
Vision 2030 and reducing the stigma of vocational and technical training among Saudi Arabian students Abdulaziz Salem Aldossari1 Empirical Research in Vocational Education and Training volume 12, Article number: 3 (2020) Cite this article Technical and vocational education and training (TVET) plays a critical role in d...
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Bifurcation of the critical crossing cycle in a planar piecewise smooth system with two zones DCDS-B Home Integrability and bifurcation of a three-dimensional circuit differential system doi: 10.3934/dcdsb.2021118 Online First articles are published articles within a journal that have not yet been assigned to a formal ...
CommonCrawl
What is the largest integer $n$ such that $$(1 + 2 + 3 + \cdots+ n)^2 < 1^3 + 2^3 + \cdots+ 7^3?$$ Recall that $$(1 + 2 + 3 + \ldots + n)^2 = 1^3 + 2^3 + 3^3 +\ldots + n^3.$$ Thus we have that for $n\geq 7$, $(1 + 2 + 3 + \ldots + n)^2 = 1^3 + 2^3 + 3^3 +\ldots + n^3 \geq 1^3 + 2^3 +\ldots + 7^3$, while $(1 + 2 + 3 ...
Math Dataset
A soccer team has $22$ available players. A fixed set of $11$ players starts the game, while the other $11$ are available as substitutes. During the game, the coach may make as many as $3$ substitutions, where any one of the $11$ players in the game is replaced by one of the substitutes. No player removed from the game...
Math Dataset
Doubling time and half-life of exponential growth and decay Due date: Sept. 25, 2020, 11:59 p.m. A population of sea lions is decreasing at a rate of 5% per year. If the population continues to decline at this rate, to what fraction of the original population size will the population decline after 10 years? (Keep at le...
CommonCrawl
Thermodynamics and economic feasibility of acetone production from syngas using the thermophilic production host Moorella thermoacetica Stephanie Redl ORCID: orcid.org/0000-0002-7297-43791, Sumesh Sukumara1, Tom Ploeger2, Liang Wu2, Torbjørn Ølshøj Jensen1, Alex Toftgaard Nielsen1 & Henk Noorman2,3 Biotechnology for Bi...
CommonCrawl
Volume 20, Number 3 (2014), 1372-1403. Approximating class approach for empirical processes of dependent sequences indexed by functions Herold Dehling, Olivier Durieu, and Marco Tusche More by Herold Dehling More by Olivier Durieu More by Marco Tusche Full-text: Open access Enhanced PDF (336 KB) Article info and citati...
CommonCrawl
Markov chains on a measurable state space A Markov chain on a measurable state space is a discrete-time-homogeneous Markov chain with a measurable space as state space. History The definition of Markov chains has evolved during the 20th century. In 1953 the term Markov chain was used for stochastic processes with di...
Wikipedia
How to deliver materials necessary for terraforming? A lifeless moon of a gas giant (which orbits a K-type star [4200K] at about 0.7 AU) is chosen to become home to a space colony. Colonists plan to transform it from a barren rock into a garden of Eden. Since this moon lacks water, nitrogen, and $CO_2$, they need to be...
CommonCrawl
\begin{definition}[Definition:Conjugate Symmetric Mapping] Let $\C$ be the field of complex numbers. Let $\F$ be a subfield of $\C$. Let $V$ be a vector space over $\F$ Let $\innerprod \cdot \cdot: V \times V \to \mathbb F$ be a mapping. Then $\innerprod \cdot \cdot: V \times V \to \mathbb F$ is '''conjugate symmetric'...
ProofWiki
Stokes' theorem questions and answers Use Stokes' Theorem to evaluate \int_CF \space dr , where C is oriented counterclockwise as... Use Stokes' Theorem to evaluate {eq}\int_CF \space dr {/eq}, where C is oriented counterclockwise as viewed from above. {eq}F(x, y, z) = (x + y^2)i + (y + z^2)j + (z + x^2)k {/eq}, C is t...
CommonCrawl
Pure and Applied Geophysics January 2015 , Volume 172, Issue 1, pp 23–31 | Cite as The Negative Binomial Distribution as a Renewal Model for the Recurrence of Large Earthquakes Alejandro Tejedor Javier B. Gómez Amalio F. Pacheco The negative binomial distribution is presented as the waiting time distribution of a cycli...
CommonCrawl
\begin{definition}[Definition:Relative Semantic Equivalence/Term] Let $\FF$ be a theory in the language of predicate logic. Let $\tau_1, \tau_2$ be terms. Then $\tau_1$ and $\tau_2$ are '''semantically equivalent with respect to $\FF$''' {{iff}}: :$\map {\operatorname{val}_\AA} {\tau_1} \sqbrk \sigma = \map {\operatorn...
ProofWiki
Methodology article Identifying GPCR-drug interaction based on wordbook learning from sequences Pu Wang1, Xiaotong Huang1, Wangren Qiu2 & Xuan Xiao ORCID: orcid.org/0000-0003-1016-75442 BMC Bioinformatics volume 21, Article number: 150 (2020) Cite this article G protein-coupled receptors (GPCRs) mediate a variety of im...
CommonCrawl
Feed-forward regulation adaptively evolves via dynamics rather than topology when there is intrinsic noise Kun Xiong ORCID: orcid.org/0000-0003-1431-65861, Alex K. Lancaster ORCID: orcid.org/0000-0002-0002-92632, Mark L. Siegal ORCID: orcid.org/0000-0001-6930-29883 & Joanna Masel ORCID: orcid.org/0000-0002-7398-21274 N...
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Nexus Network Journal Remarks on the Surface Area and Equality Conditions in Regular Forms. Part I: Triangular Prisms Ahmed A. Elkhateeb First Online: 06 March 2014 This work presents four mathematical remarks concluded from the mathematical analysis for the interrelationships between the dependent and independent vari...
CommonCrawl
International Journal of Concrete Structures and Materials Investigation of the Deformation and Failure Characteristics of High-Strength Concrete in Dynamic Splitting Tests Xudong Chen ORCID: orcid.org/0000-0003-0534-69271, Jin Wu1, Kai Shang1, Yingjie Ning2 & Lihui Bai2 International Journal of Concrete Structures and...
CommonCrawl
\begin{document} \newtheorem{theorem}{Theorem}[section] \newtheorem{proposition}[theorem]{Proposition} \newtheorem{lemma}[theorem]{Lemma} \newtheorem{claim}[theorem]{Claim} \newtheorem{corollary}[theorem]{Corollary} \theoremstyle{definition} \newtheorem{definition}[theorem]{Definition} \newtheorem{definition-sort-o...
arXiv
\begin{document} \title{An analytic function approach to weak mutually unbiased bases} \author{T. Olupitan, C. Lei, A. Vourdas\\ Department of Computing\\University of Bradford\\ Bradford BD7 1DP, UK} \begin{abstract} Quantum systems with variables in ${\mathbb Z}(d)$ are considered, and three different structures are...
arXiv
A Property of Equiangular Polygons A Mathematical Droodle Created with GeoGebra (Note: the side lines of the depicted polygon which is initially regular can be dragged by thick points. The side lines always remain parallel to their original position. The operation therefore affects the side lengths but preserves the an...
CommonCrawl
Integer factorization In number theory, integer factorization is the decomposition, when possible, of a positive integer into a product of smaller integers. If the factors are further restricted to be prime numbers, the process is called prime factorization, and includes the test whether the given integer is prime (in...
Wikipedia
# Representation of Markov decision processes A Markov decision process is defined by the following components: - States: A finite set of states $S = \{s_1, s_2, ..., s_N\}$ representing all possible states in the system. - Actions: A finite set of actions $A = \{a_1, a_2, ..., a_M\}$ representing all possible acti...
Textbooks
Isothermal coordinates In mathematics, specifically in differential geometry, isothermal coordinates on a Riemannian manifold are local coordinates where the metric is conformal to the Euclidean metric. This means that in isothermal coordinates, the Riemannian metric locally has the form $g=\varphi (dx_{1}^{2}+\cdots...
Wikipedia
\begin{document} \title{$F$-rationality of the ring of modular invariants} \footnote[0] {2010 \textit{Mathematics Subject Classification}. Primary 13A50, 13A35. Key Words and Phrases. $F$-rational, $F$-regular, dual $F$-signature, Frobenius limit. } \begin{abstract} Using the description of the Frobenius l...
arXiv
Golden rectangle In geometry, a golden rectangle is a rectangle whose side lengths are in the golden ratio, $1:{\tfrac {1+{\sqrt {5}}}{2}}$, which is $1:\varphi $ (the Greek letter phi), where $\varphi $ is approximately 1.618. Golden rectangles exhibit a special form of self-similarity: All rectangles created by add...
Wikipedia
Stability analysis of traveling wave solutions for lattice reaction-diffusion equations DCDS-B Home The effect of noise intensity on parabolic equations May 2020, 25(5): 1729-1755. doi: 10.3934/dcdsb.2019249 A gradient-type algorithm for constrained optimization with application to microstructure optimization Cristian ...
CommonCrawl
\begin{document} \begin{frontmatter} \title {A Family of Multistep Methods with Zero Phase-Lag and Derivatives for the Numerical Integration of Oscillatory ODEs} \author[UoP]{Z. A. Anastassi} \ead{zackanas@uop.gr} \author[UoP]{D. S. Vlachos} \ead{dvlachos@uop.gr} \author[UoP]{T. E. Simos\fnref{simos}} \fntext[simo...
arXiv
It is a well-established heuristic that most orbits for Bianchi 8 and Bianchi 9 cosmologies are at late times well approximated by a sequence of Bianchi 2 orbits. I will use this heuristic to construct an approximate Poincare-map $\Phi_0$ and will show that this map approximates the actual return-map in the C^0-norm. S...
CommonCrawl
# Boundary value problems and their solution using finite difference methods Finite difference methods are a class of numerical methods used to approximate the solution of differential equations. They are based on the idea of discretizing the domain and approximating the derivatives using finite differences. Cons...
Textbooks
\begin{document} \title{Nontautological Bielliptic Cycles} \begin{abstract} Let $[\overline{\mathcal{B}}_{2,0,20}]$ and $[\mathcal{B}_{2,0,20}]$ be the classes of the loci of stable resp. smooth bielliptic curves with~$20$ marked points where the bielliptic involution acts on the marked points as the permutation $(1\...
arXiv
Lone divider The lone divider procedure is a procedure for proportional cake-cutting. It involves a heterogenous and divisible resource, such as a birthday cake, and n partners with different preferences over different parts of the cake. It allows the n people to divide the cake among them such that each person receiv...
Wikipedia
Human Development Index World map by quartiles of Human Development Index in 2011. Data unavailable The Human Development Index (HDI) is a composite statistic used to rank countries by level of "human development" and separate "very high human development", "high human development", "medium human development", and "low...
CommonCrawl
Associated bundle In mathematics, the theory of fiber bundles with a structure group $G$ (a topological group) allows an operation of creating an associated bundle, in which the typical fiber of a bundle changes from $F_{1}$ to $F_{2}$, which are both topological spaces with a group action of $G$. For a fiber bundle F...
Wikipedia
\begin{document} \title{Computing Minimum Time Paths With Bounded Acceleration} \begin{abstract} Solving for the minimum time bounded acceleration trajectory with prescribed position and velocity at endpoints is a highly nonlinear problem. The methods and bounds developed in this paper distinguish when there is a c...
arXiv
For how many positive integers $n$ does $1+2+\cdots+n$ evenly divide $6n$? Because \[ 1 + 2 + \cdots + n = \frac{n(n+1)}{2}, \]$1+2+ \cdots + n$ divides the positive integer $6n$ if and only if \[ \frac{6n}{n(n+1)/2} = \frac{12}{n+1}\ \text{is an integer.} \]There are $\boxed{5}$ such positive values of $n$, namely, ...
Math Dataset
A generalized method for encoding and decoding run-length-limited binary sequences IEEE Transactions on Information Theory 29(5):751 - 754 DOI:10.1109/TIT.1983.1056728 Project: rll codes G.F.M. Beenker Kees Schouhamer Immink Turing Machines Inc Many modulation systems used in magnetic and optical recording are based on...
CommonCrawl
\begin{document} \title{Nilpotent aspherical Sasakian manifolds} \begin{abstract} We show that every compact aspherical Sasakian manifold with nilpotent fundamental group is diffeomorphic to a Heisenberg nilmanifold. \end{abstract} \section{Introduction} The interaction between topological constraints and geometric st...
arXiv
Is normality testing 'essentially useless'? A former colleague once argued to me as follows: We usually apply normality tests to the results of processes that, under the null, generate random variables that are only asymptotically or nearly normal (with the 'asymptotically' part dependent on some quantity which we cann...
CommonCrawl
Jonathan Mboyo Esole Jonathan Mboyo Esole (born February 24, 1977) is an associate professor of mathematics at Northeastern University. He works on the geometry of string theory. Jonathan Mboyo Esole Esole in 2018 Born24 February 1977 (1977-02-24) (age 46) Alma materFree University of Brussels University of Cambridge...
Wikipedia
\begin{document} \title{Spectrally Accurate Causality Enforcement using SVD-based Fourier Continuations for High Speed Digital Interconnects} \author{Lyudmyla~L.~Barannyk,~\IEEEmembership{Member,~IEEE,} Hazem~A.~Aboutaleb, Aicha~Elshabini,~\IEEEmembership{Fellow, IEEE \& Fellow, IMAPS,} and~Fred~D.~B...
arXiv
\begin{definition}[Definition:Local Ring/Noncommutative/Definition 2] Let $R$ be a ring with unity. $R$ is a '''local ring''' {{iff}} it has a unique maximal right ideal. \end{definition}
ProofWiki
\begin{definition}[Definition:Bilinear Space] Let $\mathbb K$ be a field. A '''bilinear space''' over $\mathbb K$ is a pair $\left({V, f}\right)$ where: :$V$ be a vector space over $\mathbb K$ of finite dimension $n > 0$ :$f$ is a bilinear form on $V$. \end{definition}
ProofWiki
Measurement of forward Z → e+e− production at √s = 8 TeV R. Aaij, B. Adeva, M. Adinolfi, A. Affolder, Z. Ajaltouni, S. Akar, J. Albrecht, F. Alessio, M. Alexander, S. Ali, G. Alkhazov, P. Alvarez Cartelle, A. A. Alves, S. Amato, S. Amerio, Y. Amhis, L. An, L. Anderlini, J. Anderson, M. AndreottiJ. E. Andrews, R. B. App...
CommonCrawl
Abstract: Often a "classification problem" can be regarded as an equivalence relation on a standard Borel space (i.e., a Polish space equipped just with its σ-algebra of Borel sets). For instance, the classification problem for countable linear orders (on $\omega$) corresponds to the isomorphism equivalence relation on...
CommonCrawl
Shor's algorithm Shor's algorithm is a quantum algorithm for finding the prime factors of an integer. It was developed in 1994 by the American mathematician Peter Shor.[1][2] It is one of the few known quantum algorithms with compelling potential applications and strong evidence of superpolynomial speedup compared to ...
Wikipedia
german gothic script utworzone przez | Gru 2, 2020 | Uncategorized | 0 komentarzy 1. A3 Office Paper 3. Other small letters have analogous forms. MS Gothic font family. Schwabacher typefaces dominated in Germany from about 1480 to 1530, and the style continued in use occasionally until the 20th century. Graphic fonts A...
CommonCrawl
The Egyptian Heart Journal The optimal diagnostic strategies for patient with coronary artery diseases and stable chest pain syndrome: a cost-effectiveness analysis Parvin Jafari1, Reza Goudarzi ORCID: orcid.org/0000-0003-4399-34982, Mohammadreza Amiresmaeili3 & Hamidreza Rashidinejad4 The Egyptian Heart Journal volume...
CommonCrawl
A normal divided by the $\sqrt{\chi^2(s)/s}$ gives you a t-distribution — proof let $Z \sim N(0,1)$ and $W \sim \chi^2(s)$. If $Z$ and $W$ are independently distributed then the variable $Y = \frac{Z}{\sqrt{W/s}}$ follows a $t$ distribution with degrees of freedom $s$. I am looking for a proof of this fact, a reference...
CommonCrawl
Second-order cone programming A second-order cone program (SOCP) is a convex optimization problem of the form minimize $\ f^{T}x\ $ subject to $\lVert A_{i}x+b_{i}\rVert _{2}\leq c_{i}^{T}x+d_{i},\quad i=1,\dots ,m$ $Fx=g\ $ where the problem parameters are $f\in \mathbb {R} ^{n},\ A_{i}\in \mathbb {R} ^{{n_{i}}\tim...
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