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 the first explosion 首次爆发(3)首次爆发(3)
 首次爆发
 For(Q,π) Doob process X=｛x(t),t<σ｝ with σ as its lifespan,author studies how long it will live after the first explosion. 对于寿命为 σ的 ( Q,π) Doob过程 X={ x( t) ,t<σ} ,研究它首次爆发后还能存活多久 . 短句来源 Author concludes the following results:the distribution of lifetime after the first explosion,the expected lifetime after explosion,and the probability of explosion wihch means the end of life. 求出了它首次爆发后至寿终的存活时间分布、平均存活时间和首次爆发就寿终的概率 短句来源 In this paper, author has made a further study of [1,2] such properties for a conserrative and nonregular Markov chains in single exit case, which can be expressed by the properties of the first hit and the first explosion. 我们将[1,2]性质进行了推广,对于保守单流出非规则的Markov链,研究了该过程首次爆发后关于有界集合B的反复击中以及反复爆发的若干性质. 特别地,该过程爆发后反复击中的性质可以通过爆发后首次击中的性质来表述. 短句来源
 首次爆发
 For(Q,π) Doob process X=｛x(t),t<σ｝ with σ as its lifespan,author studies how long it will live after the first explosion. 对于寿命为 σ的 ( Q,π) Doob过程 X={ x( t) ,t<σ} ,研究它首次爆发后还能存活多久 . 短句来源 Author concludes the following results:the distribution of lifetime after the first explosion,the expected lifetime after explosion,and the probability of explosion wihch means the end of life. 求出了它首次爆发后至寿终的存活时间分布、平均存活时间和首次爆发就寿终的概率 短句来源 In this paper, author has made a further study of [1,2] such properties for a conserrative and nonregular Markov chains in single exit case, which can be expressed by the properties of the first hit and the first explosion. 我们将[1,2]性质进行了推广,对于保守单流出非规则的Markov链,研究了该过程首次爆发后关于有界集合B的反复击中以及反复爆发的若干性质. 特别地,该过程爆发后反复击中的性质可以通过爆发后首次击中的性质来表述. 短句来源
 “the first explosion”译为未确定词的双语例句
 Some Properties of Repeated Hits After the First Explosion of a Conservative and Nonregular Markov Chains in Single Exit Case 保守单流出非规则Markov链爆发后反复击中的若干性质 短句来源 In this article, author has made a further study of the properties of such process, which depends strongly on the construction of the process after the first explosion time. 我们对单流出B型Q过程进行了更深入的研究 ,得到了如下重要性质 ,这些性质都强烈地依赖于过程爆发后的构造 . 短句来源

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 the first explosion
 The pipeline contained a potentially explosive mixture of air and hydrocarbons when part of the plug fell to the line below, and, on impact, the spark or combustion caused by the impact initiated the first explosion in the piping system. The first explosion may be followed by another one several hours later, which manifests itself in the floral chamber of the inflorescence and is under strict photoperiodic control. For a set , reserving the trajectories before the first explosion time τ and decomposing the trajectories after τ for X according to we obtain a new birth and death process . The properties of repeated hits after first explosion may be expressed by the properties of the first hit after the first explosion. The first explosion occurred on June 23, before the uplift was clear. 更多
 For(Q,π) Doob process X=｛x(t),t<σ｝ with σ as its lifespan,author studies how long it will live after the first explosion.Author concludes the following results:the distribution of lifetime after the first explosion,the expected lifetime after explosion,and the probability of explosion wihch means the end of life. 对于寿命为 σ的 ( Q,π) Doob过程 X={ x( t) ,t<σ} ,研究它首次爆发后还能存活多久 .求出了它首次爆发后至寿终的存活时间分布、平均存活时间和首次爆发就寿终的概率 The Q process of B type in single exit case is a very important kind of Markov process in theory and practice, its Martin exit boundary B e is a single-point set ｛b｝. Professor Yang Xiangqun has constructed all Q process satisfying the backward equations in single exit case in document [1]. Such a process is defined by a row vector α0, constant C or C*!″, and a harmonic entrance family ｛(λ),λ>0｝. By studying the birth and death process, Professor Yang Xiangqun has followed some properties of the distribution... The Q process of B type in single exit case is a very important kind of Markov process in theory and practice, its Martin exit boundary B e is a single-point set ｛b｝. Professor Yang Xiangqun has constructed all Q process satisfying the backward equations in single exit case in document [1]. Such a process is defined by a row vector α0, constant C or C*!″, and a harmonic entrance family ｛(λ),λ>0｝. By studying the birth and death process, Professor Yang Xiangqun has followed some properties of the distribution of lifetime after explosion for this process, and calculated expected lifetime after explosion in document [3]. We study the expected staying and lifespan of Q process of B type in single exit case after explosion in [4]. In this article, author has made a further study of the properties of such process, which depends strongly on the construction of the process after the first explosion time. The main results are calculated as follows: ① The probability of explosion which means the end of life. ② The distribution of lifetime from explosion to the end of life (the Laplace transforms). ③ The distribution of lifespan and the distribution of lifespan on passing exit point b (the Lapalace trans-forms). 单流出B型Q过程是一类在理论和实际上很重要的Markov过程 ,它的Martin流出边界Be 是单点集 {b} .杨向群教授在文 [1]中 ,解决了单流出时B型Q过程的构造问题 .此类过程由一个行矢量α 0 ,常数C′或C′以及一个行协调解族 { η(λ) ,λ >0 }完全决定 .在文 [3]中 ,对有爆发的生灭过程 ,杨向群教授得到了生灭过程爆发后的存活时间分布、平均存活时间等许多性质 .在此基础上 ,在文 [4 ]中研究了单流出B型Q过程爆发后的期望停留与寿命 .我们对单流出B型Q过程进行了更深入的研究 ,得到了如下重要性质 ,这些性质都强烈地依赖于过程爆发后的构造 .①求出了过程爆发马上就灭亡的概率 .②求出了过程爆发后的存活时间分布 (Laplace变换形式 ) .③求出了过程寿命的分布以及经过流出点b的过程寿命的分布 (Laplace变换形式 ) On studying the Markov process, the properties of first hitting and last exit are of special importance. In this paper, author has made a further study of [1,2] such properties for a conserrative and nonregular Markov chains in single exit case, which can be expressed by the properties of the first hit and the first explosion. 在Markov过程的研究中,首中与末离具有特殊重要的意义.我们将[1,2]性质进行了推广,对于保守单流出非规则的Markov链,研究了该过程首次爆发后关于有界集合B的反复击中以及反复爆发的若干性质.特别地,该过程爆发后反复击中的性质可以通过爆发后首次击中的性质来表述.
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