Results 11 to 20 of about 273,916 (217)
, 2016 This is a survey article on the theory of fusion systems, a relatively new area of mathematics with connections to local finite group theory, algebraic topology, and modular representation theory.
Aschbacher, Michael, Oliver, Bob
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, 2021 The new computational paradigm of conceptual computation has been introduced in the research program of Artificial Mathematical Intelligence. We provide the explicit artificial generation (or conceptual computation) for the fundamental mathematical notion of topological groups.
Gomez-Ramirez, Danny A. J. +2 more
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, 2013 The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from applications in the physical sciences.
Robins, Vanessa
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Mathematical Models of Abstract Systems: Knowing abstract geometric forms [PDF]
, 2013 Scientists use models to know the world. It i susually assumed that mathematicians doing pure mathematics do not. Mathematicians doing pure mathematics prove theorems about mathematical entities like sets, numbers, geometric figures, spaces, etc., they ...
Marquis, Jean-Pierre
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Every metric space is separable in function realizability [PDF]
, 2019 We first show that in the function realizability topos every metric space is separable, and every object with decidable equality is countable. More generally, working with synthetic topology, every $T_0$-space is separable and every discrete space is ...
Bauer, Andrej, Swan, Andrew
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Continuous selections of multivalued mappings
, 2014 This survey covers in our opinion the most important results in the theory of continuous selections of multivalued mappings (approximately) from 2002 through 2012.
A. Askoy +100 more
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Stability of higher order singular points of Poisson manifolds and Lie algebroids [PDF]
, 2005 We study the stability of singular points for smooth Poisson structures as well as general Lie algebroids. We give sufficient conditions for stability lying on the first (not necessarily linear) approximation of the given Poisson structure or Lie ...
Dufour, Jean-Paul, Wade, Aissa
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Rough differential equations driven by signals in Besov spaces
, 2015 Rough differential equations are solved for signals in general Besov spaces unifying in particular the known results in H\"older and p-variation topology.
Prömel, David J., Trabs, Mathias
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Topological Integer Additive Set-Sequential Graphs
, 2015 Let $\mathbb{N}_0$ denote the set of all non-negative integers and $X$ be any non-empty subset of $\mathbb{N}_0$. Denote the power set of $X$ by $\mathcal{P}(X)$. An integer additive set-labeling (IASL) of a graph $G$ is an injective set-valued function $
Augustine, Germina +2 more
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Advanced Engineering Materials, EarlyView.In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart +3 more
wiley +1 more source