Symmetrization in geometry
نویسندگان
چکیده
منابع مشابه
Symmetrization, convexity and applications
Based on permutation enumeration of the symmetric group and ‘generalized’ barycentric coordinates on arbitrary convex polytope, we develop a technique to obtain symmetrization procedures for functions that provide a unified framework to derive new Hermite-Hadamard type inequalities. We also present applications of our results to the Wright-convex functions with special emphasis on their key rol...
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Let’s first see how primitive covers were inadequate. Recall that a function class G is a primitive cover for a function class F at scale > 0 over some set S if: • G ⊆ F , • |G| <∞, and • for every f ∈ F there exists g ∈ G with supx∈S |g(x)− f(x)| ≤ . Last class, we gave a generalization bound for classes with primitive covers (basically, primitive covers give discretizations, and then we apply...
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Reasonable requirements of (a) physical invariance under particle permutation and (b) physical completeness of state descriptions [1], enable us to deduce a Symmetric Permutation Rule(SPR): that by taking care with our state descriptions, it is always possible to construct state vectors (or wave functions) that are purely symmetric under pure permutation for all particles, regardless of type di...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2017
ISSN: 0001-8708
DOI: 10.1016/j.aim.2016.10.003