Results 11 to 20 of about 1,009,647 (137)
Anomaly constraints and string/F-theory geometry in 6D quantum gravity
Quantum anomalies, determined by the Atiyah-Singer index theorem, place strong constraints on the space of quantum gravity theories in six dimensions with minimal supersymmetry.
Taylor, Washington
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Mathematical Modeling of Group Concurrency in Game Theory
The approach to an estimation of results of group "competitions" of intellectual agents is described. Petri-Markov models group "competition" are analyzed. Expressions for the determination of the probability density distribution and the participants or groups of participants win or lose "competition" are given.
A.N. Ivutin, E.V. Larkin, A.S. Novikov
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Poincaré and the idea of a group [PDF]
In many different fields of mathematics and physics Poincaré found many uses for the idea of a group, but not for group theory. He used the idea in his work on automorphic functions, in number theory, in his epistemology, Lie theory (on the so-called ...
Gray, Jeremy
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Associated to any manifold equipped with a closed form of degree >1 is an `L-infinity algebra of observables' which acts as a higher/homotopy analog of the Poisson algebra of functions on a symplectic manifold.
Callies, Martin +3 more
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Formalization of the fundamental group in untyped set theory using auto2
We present a new framework for formalizing mathematics in untyped set theory using auto2. Using this framework, we formalize in Isabelle/FOL the entire chain of development from the axioms of set theory to the definition of the fundamental group for an ...
A Kornilowicz +5 more
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Negotiation of meaning in outside of the classroom group assignments: accounting for the how to understand the what of future mathematics teachers' learning [PDF]
In this paper we illustrate how Wenger’s theory of social learning can be used to account for phenomena of future teachers change in settings that are not usually studied, namely group work that future teachers do as they work on class assignments ...
González, María José +2 more
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Rigid abelian groups and the probabilistic method
The construction of torsion-free abelian groups with prescribed endomorphism rings starting with Corner's seminal work is a well-studied subject in the theory of abelian groups.
Braun, Gábor, Pokutta, Sebastian
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Group theory and biomolecular conformation: I. Mathematical and computational models [PDF]
Biological macromolecules, and the complexes that they form, can be described in a variety of ways ranging from quantum mechanical and atomic chemical models, to coarser grained models of secondary structure and domains, to continuum models. At each of these levels, group theory can be used to describe both geometric symmetries and conformational ...
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Finite simple groups are the building blocks of finite symmetry. The effort to classify them precipitated the discovery of new examples, including the monster, and six pariah groups which do not belong to any of the natural families, and are not involved
Duncan, John F. R. +2 more
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Topological Entropy and Algebraic Entropy for group endomorphisms [PDF]
The notion of entropy appears in many fields and this paper is a survey about entropies in several branches of Mathematics. We are mainly concerned with the topological and the algebraic entropy in the context of continuous endomorphisms of locally ...
Bruno, Anna Giordano, Dikranjan, Dikran
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