منابع مشابه
A New Minimum Principle for Lagrangian Mechanics
We present a novel variational view at Lagrangian mechanics based on the minimization of weighted inertia-energy functionals on trajectories. In particular, we introduce a family of parameter-dependent global-in-time minimization problems whose respective minimizers converge to solutions of the system of Lagrange’s equations. The interest in this approach is that of reformulating Lagrangian dyn...
متن کاملPontryagin's Minimum Principle for Fuzzy Optimal Control Problems
The objective of this article is to derive the necessary optimality conditions, known as Pontryagin's minimum principle, for fuzzy optimal control problems based on the concepts of differentiability and integrability of a fuzzy mapping that may be parameterized by the left and right-hand functions of its $alpha$-level sets.
متن کاملMinimum Tenacity of Toroidal graphs
The tenacity of a graph G, T(G), is dened by T(G) = min{[|S|+τ(G-S)]/[ω(G-S)]}, where the minimum is taken over all vertex cutsets S of G. We dene τ(G - S) to be the number of the vertices in the largest component of the graph G - S, and ω(G - S) be the number of components of G - S.In this paper a lower bound for the tenacity T(G) of a graph with genus γ(G) is obtained using the graph's connec...
متن کاملA minimum relative entropy principle for AGI
In this paper the principle of minimum relative entropy (PMRE) is proposed as a fundamental principle and idea that can be used in the field of AGI. It is shown to have a very strong mathematical foundation, that it is even more fundamental then Bayes rule or MaxEnt alone and that it can be related to neuroscience. Hierarchical structures, hierarchies in timescales and learning and generating s...
متن کاملA Minimum Principle for Structural Stability*
where A, B are arbitrary real constants, and a is an arbitrary complex number. It is readily confirmed by direct computation that the constants A, B, and a give rise to an arbitrary, uniform hydrostatic stress-field in the image domain R*. The constant k, on the other hand, affects merely the scale of the image stress-distribution. We may therefore put A = B = a = Q, k = 1. This completes the p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2019
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2019.v27.n4.a4