Finally, the necessary and sufficient condition is shown for similarity and consimilarity of matrices over quaternion field.
同时得到一些关于四元数矩阵的性质，以及体上矩阵相似和合相似的充要条件。
The necessary and sufficient condition for the steady-state output controllability of linear time-invariant systems is presented.
对线性定常单变量系统常值稳态输出的可控性问题进行讨论。
The quadratic curve is the necessary and sufficient condition of the noncentral curve as well as the equation's representative form.
二次曲线为非中心曲线的充要条件及方程表示形式。
This paper gives the definition of P-hereditary ring and discusses the necessary and sufficient condition about the submodule closure of cyclic module.
本文给出p—遗传环的定义及循环模的子模闭的充要条件。
The paper gives the necessary and sufficient condition of self-dual graphs, all of self-dual graphs can be structured with this necessary and sufficient codition.
给出自对偶图的充要条件，并利用此充要条件，能构造出所有自对偶图。
The necessary and sufficient condition of recurrent and ergodic properties are proved first in chapter 3, and under that condition we get the stationary distribution.
本文在第三章给出了常返和遍历的充要条件，在此条件下由平稳分布的定义得出了平稳分布的发生函数。
Using this extended quadratic optimization theorem, the necessary and sufficient condition for the existence of stable quadratic optimal closed-loop system is obtained.
利用这个推广的二次最优定理，得到了存在稳定的二次最优闭环系统的充要条件。
In this paper, the concept of strong acute cone is introduced, and the necessary and sufficient condition for existing such cone in a infinite dimensional space is obtained.
本文提出了强锐角锥的概念，并就无限维空间证明了一个凸锥为强锐角锥的必要充分条件。
This paper studies the necessary and sufficient condition of uniformly convergent difference scheme for the elliptic-parabolic partial differential equation with a small parameter.
本文研究小参数椭圆-抛物偏微分方程一致收敛差分格式的充要条件。
Based on the equivalent covering, the necessary and sufficient condition for different covering to generate the same positive-negative region covering generalized rough sets is given.
通过引进覆盖等价的概念，给出了给定论域上任意集在不同覆盖下具有相同正负域覆盖广义粗集的充要条件。
In this paper, We prove that the orthogonal condition to solve the uniform asymptotic solution of second order linear P. D. E in periodic region is the necessary and sufficient condition.
本文证明了求解周期区域上的二阶线性偏微分方程的一致有效渐近解的正交条件是充分和必要的。
The author discusses a class of general of singular boundary value problems by using the first integral method, and the necessary and sufficient condition of positive solutions was obtained.
运用首次积分法讨论了较广泛的一类常微分方程边值问题，得到了正解存在的充要条件。
This paper puts forward the theorem dealing with the necessary and sufficient condition of the regular solution to the rational interpolation. The theorem is simple to prove and convenient to use.
本文给出了关于有理插值正则解的充要条件的一个定理，其证明是简单的，作为判别法则使用亦是方便的。
So it's a sufficient condition for an argument being valid that there is no possible situation where the premises are true and the conclusion false. And that's a necessary condition too.
所以这对于论点有效性是充分条件，没有可能前提为真，结论为假，这是必要条件。
The sufficient and necessary condition of possession justice is the both justice of acquirement and transfer.
持有正义的充要条件是获取与转让同时是正义的。
Necessary and sufficient condition for existence of the controller is established, and complete parametric representations of the controller are presented.
建立了该控制方案存在的充要条件，并给出了该控制方案的完全参数表示。
Based on this, the sufficient and necessary condition under which a set of GD-Constrai NTS is a minimal cover is given.
在此基础上，给出了一个GD -约束集成为最小覆盖的充要条件。
The sufficient and necessary condition of controllability and reachability of a class of linear switching systems which has the same systematic matrix and different input matrixes is given.
给出一类线性切换系统能控性、能达性的充分必要条件，此类系统的特征是具有相同的系统矩阵和不同的输入矩阵。
Based on Darboux theory, this paper discussed the integrability of the Riemann Integral and provides a necessary and sufficient condition for integrability.
文章利用达布和理论，讨论了黎曼积分的可积性问题，给出了一个可积的充分必要条件。
In this section, we also establish a necessary and sufficient condition for the algorithm of the mixed scheduling.
在这一部分里，我们同样得到了一个任务集可以用混合调度算法调度的一个充分必要条件。
Then, the latter necessary and sufficient condition is generalized to the case for the two different point ranges of degenerate second order curve.
然后，再将非退化二阶曲线到自身的双射为对合的充要条件推广到退化二阶曲线两相异点列的情形。
In this paper, some necessary and sufficient condition about the equivalence of two column vector groups has been discussed.
本文论述了两列向量组等价的一些充分必要条件，并应用泛函分析的理论进行分析。
By the singular integral equation theory we obtain the resolvable sufficient and necessary condition and the formula of counting index for the problem.
同时利用带位的奇异积分方程理论得到了这一问题可解的主要条件及指数计算公式。
In this paper, we get the diameter of three kind of self-complementary and then give a necessary and sufficient condition from matrix adjacency when the diameter is 2 or 3.
本文给出了三种类型的自补图关于直径方面的结果，并从自补图的邻接矩阵给出了自补图直径为2或3的一个充要条件。
The question as to whether binarity is a necessary and sufficient condition to produce barium star is addressed.
讨论了双星是否是产生钡星的必要和充分条件，因为已知道的钡星系统全是双星。
In this short poper, the regularizability of descriptor decentralized systems is studied and a necessary and sufficient condition is given.
本文主要研究了广义分散控制系统的正则性，并给出了可以正则化的一个充要条件。
Moreover, a judgement condition for live and bound WAC net system is given, and the sufficient and necessary condition for WAC net liveness monotonicity is shown.
同时，提出了活的有界的WAC网系统的判定条件，进而给出了WAC网活性满足单调性的充分必要条件。
Moreover, a judgement condition for live and bound WAC net system is given, and the sufficient and necessary condition for WAC net liveness monotonicity is shown.
同时，提出了活的有界的WAC网系统的判定条件，进而给出了WAC网活性满足单调性的充分必要条件。
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