翻訳と辞書 Words near each other ・ Kolombangara leaf warbler ・ Kolombangara monarch ・ Kolombangara white-eye ・ Kolombari ・ Kolombatovic's goby ・ Kolombatovic's long-eared bat ・ Kolomenskaya (Moscow Metro) ・ Kolomenskoye ・ Kolomensky ・ Kolomensky (inhabited locality) ・ Kolomensky District ・ Kolmogorov backward equations (diffusion) ・ Kolmogorov complexity ・ Kolmogorov continuity theorem ・ Kolmogorov equations ・ Kolmogorov equations (Markov jump process) ・ Kolmogorov extension theorem ・ Kolmogorov integral ・ Kolmogorov microscales ・ Kolmogorov space ・ Kolmogorov structure function ・ Kolmogorov's criterion ・ Kolmogorov's inequality ・ Kolmogorov's theorem ・ Kolmogorov's three-series theorem ・ Kolmogorov's two-series theorem ・ Kolmogorov's zero–one law ・ Kolmogorov–Arnold representation theorem ・ Kolmogorov–Arnold–Moser theorem ・ Kolmogorov–Smirnov test Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Kolmogorov equations (Markov jump process) ： ウィキペディア英語版 Kolmogorov equations (Markov jump process) In the context of a continuous-time Markov process, the Kolmogorov equations, including Kolmogorov forward equations and Kolmogorov backward equations, are a pair of systems of differential equations that describe the time-evolution of the probability $P(x,s;y,t)$, where $x,\; y\; \backslash in\; \backslash Omega$ (the state space) and $t\; >\; s$ are the final and initial time respectively. ==The equations== For the case of enumerable state space we put $i,j$ in place of $x,\; y$. Kolmogorov forward equations read : $\backslash frac(s;t)\; =\; \backslash sum\_k\; P\_(s;t)\; A\_(t)$ while Kolmogorov backward equations are : $\backslash frac(s;t)\; =\; -\backslash sum\_k\; A\_(s)\; P\_(s;t)$ The functions $P\_(s;t)$ are continuous and differentiable in both time arguments. They represent the probability that the system that was in state $i$ at time $s$ jumps to state $j$ at some later time $t\; >\; s$. The continuous quantities $A\_(t)$ satisfy : ■ウィキペディアで「Kolmogorov equations (Markov jump process)」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.