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Metric Properties of the Fuzzy Sphere
The fuzzy sphere, as a quantum metric space, carries a sequence of metrics which we describe in detail. We show that the Bloch coherent states, with these spectral distances, form a sequence of metric spaces that converge to the round sphere in the high-spin limit. It is common practice in several fields to "approximate: a manifold with a finite or countable subset of its points. A typical example in particle physics is the study of quantum...
26 p pdu 25/09/2012 152 1
Từ khóa: Mathematical Physics, High Energy Physics, lý thuyết vật lý năng lượng cao, Operator algebras, quantum physics, vật lý lượng tử
WILD QUOTIENT SURFACE SINGULARITIES WHOSE DUAL GRAPHS ARE NOT STAR-SHAPED
We obtain some results that answer certain questions of Lorenzini on wild quotient singularities in dimension two. Using Kato’s theory of log structures and log regularity, we prove that the dual graph of exceptional curves on the resolution of singularities contains at least one node. Furthermore, we show that diagonal quotients for Hermitian curves by analogues of Heisenberg groups lead to examples of wild quotient singularities where the...
35 p pdu 25/09/2012 120 1
Từ khóa: Algebraic geometry, mathematics, geometry, hình học đại số, toán học, algebraic number theory, real algebraic geometry.
Differential Equations For Dummies
Steven Holzner is an award-winning author of science, math, and technical books. He got his training in differential equations at MIT and at Cornell University, where he got his PhD. He has been on the faculty at both MIT and Cornell University, and has written such bestsellers as Physics For Dummies and Physics Workbook For Dummies.
363 p pdu 20/04/2012 100 1
Từ khóa: mathematics, linear algebra, trigonometry equations, algebra, combinatorial mathematics curriculum, mathematics materials
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