منابع مشابه
Minmax via Differential Inclusion
The asymptotic behavior of the solution of a differential inclusion provides a simple proof of a minmax theorem.
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Differential inclusions represent an important generalization of differential equations. The solution to a DI is a reachable set, instead of a single trajectory. These concepts are well known in control theory, but not yet exploited in the field of modeling and simulation. The main applications may be related to the uncertainty in dynamic systems. The solving procedure for differential inclusio...
متن کاملFunction template std : : minmax and / or algorithm std : : minmax _ element
This proposal adds a function template (std::minmax) and / or an algorithm (std::minmax_element) to the header , both of which are implicitly present (by two separate calls to std::min and std::max, or std::min_element and std::max_element), but admit a better implementation if the two calls are combined into one. Both additions can be considered independently, although they are stro...
متن کاملSet Partitioning via Inclusion-Exclusion
Given a set N with n elements and a family F of subsets, we show how to partition N into k such subsets in 2nnO(1) time. We also consider variations of this problem where the subsets may overlap or are weighted, and we solve the decision, counting, summation, and optimisation versions of these problems. Our algorithms are based on the principle of inclusion–exclusion and the zeta transform. In ...
متن کاملThe Euler Equations as a Differential Inclusion
In this paper we propose a new point of view on weak solutions of the Euler equations, describing the motion of an ideal incompressible fluid in R with n ≥ 2. We give a reformulation of the Euler equations as a differential inclusion, and in this way we obtain transparent proofs of several celebrated results of V. Scheffer and A. Shnirelman concerning the non-uniqueness of weak solutions and th...
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2005
ISSN: 1556-5068
DOI: 10.2139/ssrn.711141