Results 21 to 30 of about 461,075 (111)
Mathematics embodied: Merleau-Ponty on geometry and algebra as fields of motor enaction [PDF]
, 2022 Jan Halák
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Non-Archimedean Geometry and Physics on Adelic Spaces [PDF]
arXiv, 2003 This is a brief review article of various applications of non-Archimedean geometry, p-adic numbers and adeles in modern mathematical physics.
arxiv
Potentials versus Geometry [PDF]
arXiv, 2021 We discuss some equivalence relations between the non-relativistic quantum mechanics for particles subjected to potentials and for particles moving freely on background geometries. In particular, we illustrate how selected geometries can be used to regularize singular potentials.
arxiv
Essential Killing fields of parabolic geometries
, 2013 We study vector fields generating a local flow by automorphisms of a parabolic geometry with higher order fixed points. We develop general tools extending the techniques of [1], [2], and [3].
Melnick, Karin, Čap, Andreas
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Integrable geometry and Soliton equations in 2+1 dimensions [PDF]
arXiv, 1998 Some aspects of the connection between differential geometry and multidimensional soliton equations are discussed.
arxiv
Jets and connections in commutative and noncommutative geometry [PDF]
arXiv, 1999 It is emphasized that equivalent definitions of connections on modules over commutative rings are not so in noncommutative geometry.
arxiv
arXiv, 2020 Lecture notes written for a one-semester course in mathematical relativity aimed at mathematics and physics students. Not meant as an introduction to general relativity, but rather as a complementary, more advanced text.
arxiv
Preservice Elementary Mathematics Teachers' Geometric and Algebraic Proof Process with Dynamic Geometry Software [PDF]
, 2013 Dynamic Geometry Software (DGS) has recently been used in mathematics courses. It helps students understand the mathematical concepts and methods easily and “provides an environment in which students can experiment freely, hence they can easily check ...
Sema İPEK, Oylum AKKUŞ İSPİR
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Instantons: topological aspects [PDF]
Enclyclopedia of Mathematical Physics vol. 2 (2006) 44-50, 2005 Short survey to be published at the Encyclopedia of Mathematical Physics.
arxiv
Ibadan Lectures on Toric Varieties
, 2017 Toric varieties are perhaps the most accessible class of algebraic varieties. They often arise as varieties parameterized by monomials, and their structure may be completely understood through objects from geometric combinatorics.
Sottile, Frank
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