cucumber 发表于 2025-3-21 16:29:50

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剧本 发表于 2025-3-21 23:22:07

Media and New Capitalism in the Digital Agerecisely, given an absolutely continuous curve ., one can find a Borel time-dependent velocity field . : . such that . for .-a.e. . ∈ (.) and the continuity equation holds. Conversely, if . solve the continuity equation for some Borel velocity field . with ., then . is an absolutely continuous curve and . for .-a.e. . ∈ (.).

liaison 发表于 2025-3-22 01:57:14

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aggravate 发表于 2025-3-22 07:41:02

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世俗 发表于 2025-3-22 12:10:14

Personal, Social and Political Implications,Dirac mass). Kantorovich’s formulation . circumvents this problem (as .× . ∈ Г(.)). The existence of an optimal transpoplan, when . is l.s.c., is provided by (5.1.15) and by the tightness of Г(.) (this property is equivalent to the tightness of ., a property always guaranteed in Radon spaces).

Audiometry 发表于 2025-3-22 13:14:34

The Optimal Transportation ProblemDirac mass). Kantorovich’s formulation . circumvents this problem (as .× . ∈ Г(.)). The existence of an optimal transpoplan, when . is l.s.c., is provided by (5.1.15) and by the tightness of Г(.) (this property is equivalent to the tightness of ., a property always guaranteed in Radon spaces).

Audiometry 发表于 2025-3-22 18:23:08

Introductions made of two parts, the first one concerning gradient flows in metric spaces and the second one devoted to gradient flows in the .-Wasserstein space of probability measures on a separable Hilbert space . endowed with the Wasserstein . metric (we consider the .-Wasserstein distance, . ∈ (1, ∞), as w

Obstruction 发表于 2025-3-22 23:51:05

Curves and Gradients in Metric Spacesderivative of an absolutely continuous curve with values in . and the upper gradients of a functional defined in .. The related definitions are presented in the next two sections (a more detailed treatment of this topic can be found for instance in ); the last one deals with curves of maximal sl

担心 发表于 2025-3-23 04:29:39

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Corral 发表于 2025-3-23 06:56:27

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