查询词典 sufficient condition

And a sufficient and necessary condition of existence of place invariant for a class of Petri net is proved .

本文以Petri网作为离散事件系统的模型，对控制理论与方法进行了较深入的研究。

In terms of the invertibility of symmetric systems, a sufficient and necessary condition is set up directly on the original systems which avoids using the quotient systems and is some easier than those up to now.

对于对称系统的可逆性问题，还避开了商系统，直接在原系统上建立起一个充要条件，这个条件比现有的可逆性条件要简单。

The correlation between the degree of the polynomial and its irreducible factors is analyzed, and then a sufficient and necessary condition on judging whether a polynomial of arbitrary degree n over finite fields is irreducible or not is presented.

分析了多项式次数与其不可约因式之间的内在联系，给出了有限域上任意n次多项式是否为不可约多项式、本原多项式的一个充要条件。

To have at least one sheep constituted an irreducible minimum, a sufficient condition for the activity to occur.

至少要有一只羊构成不可减少的最小值，这是事件发生的充分条件。

We also introduce a new sufficient condition of the isochronous center.

给出了等时中心的一个新的充分条件。

In this paper a new necessary and sufficient condition of graphic isomorphism is proved which is stated as following: two graphs are isomorphic if and only if their subgraphs are isomorphic and the new vertices as well as their adjancy edges are corresponding with the property of isomorphism.

提出了一个新的判定图同构的充分必要条件，即在子图同构的前提下，根据新增顶点及相应关联边的关系，判断母图同构的充分必要条件。

A sufficient and necessary condition of an isothermal surface being a minimal surface is obtained.

除平面外没有其它二次多项式极小曲面，Enneper曲面是目前微分几何文献中唯一出现的三次参数多项式极小曲面，还没有出现高次多项式极小曲面的例子。

Fri particular, the Wittmann-type strong law of larg numbers for independent random variables is generalized to the case of NA random variables. We also present the sufficient and necessary condition of the laws of logarithm, and we extend Teicher-type strong law of the large numbers for sequence of NA random variables. Some of the laws of iterated logarithm of Teicher-type, Egorov-type arid Wittmann-type for sequence of NA random variables are obtained. Then we investigate the rate3f ionvergcll( fbr series of NA randonl variables, we obtain soIne results fbr tl1e Iaws of theiterated logarithttl, the laws of logarithm and decreasing order fOr the tail sum.Risk itllttlysis tlleory is a sigIlifica11t part of insurance InatheInatics.

Wittmann（1985a）关于实独立随机变量列的结果，并给出了NA列强大数律成立的若干条件，特别建立了一般NA列对数律成立的充分必要条件，在二阶矩存在的条件下完整的解决了一般NA列对数律的问题，中文摘要2而已有的一些NA列对数律的结果可以由它推出，给出了NA列的Teiclier型强大数律，表明lbiChCI·（1979）给出的实独立随机变量列的强大数律可以减弱其条件等；建立厂不问分布NA列的Teicfl仪；Egorov，Petrov型有界重对数律，以及加权同分布NA列的有界重对数律，进一步推广了NA列的Kolmogory有界重对数律等，特别对NA列建立了Wittm洲型有界重对数律，而其证明方法与独立情形有很大不同，同时通过反例表明在与独立场合类似的条件下，独立列的Wittmann有界重对数律不能完美的推广到NA歹小惰形；最后研究了NA随机变量级数的收敛速度，给出了尾和下降的阶；尾和的有界重对数律，及尾和对数律成立的充要条件等，并通过反例说明 NA随机变量级数与独立随机变量级数在收敛速度方面存在的差异。

Asimple necessary and sufficient condition for global controllability will bepresented. The analysis method is based on some basic facts in planartopology such as the Jordan curve Theorem, and in the geometric theoryof ordinary differential equations including the Poincare-Bendixson Theo-rem.

分析方法主要是基于平面拓扑中的一些基本事实，比如Jordan曲线定理，以及常微分方程几何理论中的几个基本定理，如Poincare-Bendixson定理，指标定理等。

Although this one still had obtained a few delectable result at the group of lacteal estate industry of budding condition, make the window that region economy grows, but the advantage of industrial group still comes out without sufficient play, the development way that group of lacteal estate industry changes is not clear still.

虽然这一个尚处在萌芽状态的乳业产业集群已经取得了一些可喜的成绩，成为区域经济发展的亮点，但是产业集群的优势还没有充分发挥出来，乳业产业集群化的发展道路还不明晰。

The small blue capacitor has very high chances to go fully shorted compare to electrolytic capacitor which is very rare.

小蓝电容器具有很高的机会去充分地缩短了比较电解电容器，这是非常罕见的。

In the Italian campaigns of 1513 and 1515, when the Swiss won the victories of Novara and Marignan, he acted as army chaplain.

在意大利的运动， 1513年和1515年，当瑞士赢得了胜利，诺瓦拉和marignan ，他担任军队的牧师。