We consider the CONGEST model on a network with n nodes, m edges, diameter D, and integer costs capacities bounded by $${{\,\textrm{poly}\,}}n$$ . In this paper, we show how to find an exact solution minimum cost flow problem in $$n^{1/2+o(1)}(\sqrt{n}+D)$$ rounds, improving state of art algorithm running time $$m^{3/7+o(1)}(\sqrt{n}D^{1/4}+D)$$ [16], which only holds for special case unit capa...

Dans cet article, nous étudions l’équation des ondes stochastique en dimensions d≤3, dirigée par un bruit gaussien W˙ qui ne dépend pas du temps. On suppose que soit le est blanc, la fonction de covariance satisfait une propriété d’échelle similaire au noyau Riesz. La solution interprétée dans sens Skorohod utilisant calcul Malliavin. obtient comportement asymptotique exact p-ième moment lorsqu...

This paper presents new exact 3-D (three-dimensional) elasticity closed-form solutions for out-of-plane free vibration of thick rectangular single layered FG (functionally graded) plates and thick rectangular homogeneous plate coated by a functionally graded layer with simply supported boundary conditions. It is assumed that the plate is on a Winkler-Pasternak elastic foundation and elasticity ...

In this article, we show the existence of certain exact sequences with respect to two homology theories, called d-homology and extended d-homology. We present sufficient conditions for the existence of long exact extended d- homology sequence. Also we give some illustrative examples.

in this article, we show the existence of certain exact sequences with respect to two homology theories, called d-homology and extended d-homology. we present sufficient conditions for the existence of long exact extended d- homology sequence. also we give some illustrative examples.