erythema 发表于 2025-3-23 10:18:47

Jörg Schüttrumpf,Matthias Germert], , , , , , , , , , . Our notations are closer to . The variational theory of geodesics is used in an essential way. Its exposition may be found in the books , . Comparison theorems are developed in part in , , , [BiC

下船 发表于 2025-3-23 16:43:47

Anti-atherosclerotic activity1,The area F and the length L of any plane domain with rectifiable boundary satisfy the inequality . the equality sign holds only in the case of a circle.

河流 发表于 2025-3-23 18:07:31

Pharmacological Models in Dermatology,To every pair of non-empty sets ., . ⊂ ℝ. their (vector) Minkowski . is defined by . + . = {. + .: . ∈ ., . ∈ .}. If ., . are compact sets (i.e. bounded closed sets), then . is compact. In this case each of the sets ., ., . necessarily has a volume (its Lebesgue measure). Denote these volumes by .(.), .(.), .(.).

清洗 发表于 2025-3-23 23:09:21

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无价值 发表于 2025-3-24 02:24:40

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明确 发表于 2025-3-24 07:29:07

The Brunn-Minkowski Inequality and the Classical Isoperimetric Inequality,To every pair of non-empty sets ., . ⊂ ℝ. their (vector) Minkowski . is defined by . + . = {. + .: . ∈ ., . ∈ .}. If ., . are compact sets (i.e. bounded closed sets), then . is compact. In this case each of the sets ., ., . necessarily has a volume (its Lebesgue measure). Denote these volumes by .(.), .(.), .(.).

去才蔑视 发表于 2025-3-24 12:59:44

Mixed Volumes,As before, . denotes the vector sum (Minkowski sum) of the subsets . and . of Euclidean space ℝ., while . = {.: . ∈ .} is the result of the homothety of . with coefficient .. In this chapter (except for Addendum 2), we consider only non-empty convex compact subsets of the space ℝ., often without saying it explicitly.

随意 发表于 2025-3-24 17:54:10

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领带 发表于 2025-3-24 22:03:17

,Immersions in ℝn,curvatures of (., .) with respect to the normal .., i.e. the eigenvalues of .(..). The vector.(the sum being taken over . from 1 to n − m) does not depend on the choice of orthonormed basis {..} in .. This vector . is said to be the . of the .-dimensional surface (., .) at the point . ∈ . and its norm.is the ..

Explicate 发表于 2025-3-25 01:20:03

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查看完整版本: Titlebook: Geometric Inequalities; Yuriĭ Dmitrievich Burago,Viktor Abramovich Zalgall Book 1988 Springer-Verlag Berlin Heidelberg 1988 Mean curvature