A necessary and sufficient condition of the existence of prime model is proved.
研究了主型的有关性质，证明了一个素模型存在的充分必要条件。
In this paper we give a necessary and sufficient condition on diagonalization matrix.
本文给出矩阵可对角化的一个充要条件。
In this note, a necessary and sufficient condition of diagonalization for square matrix is considering.
方阵是否可以对角化，是矩阵的一条很重要的性质。
It is obtained that a necessary and sufficient condition for a closed fuzzy set to be a convex fuzzy set.
引入线性拓扑空间中的凸闭模糊集概念，得到闭模糊集是凸模糊集的充分必要条件。
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。
A necessary and sufficient condition for an ideal of an integral table algebra being self-orthogonal is obtained.
本文给出了整表代数的单边理想是自正交理想的必要充分条件。
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。
In this paper, We give a necessary and sufficient condition that closed decomposable operator, is strongly decomposable.
本文给出了封闭可分解算子是强可分解的一个充分必要条件。
A necessary and sufficient condition for an inner set space with three critical sets which can be weighted is also given.
给出了具有三个临界集的内集空间可以赋权的一个充分和必要条件。
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。
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。
This paper first gives out definition of receipt-freeness, and prove necessary and sufficient condition of receipt-freeness.
给出无收据性的定义，并证明满足无收据性的充分必要条件。
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。
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。
This article was to offer necessary and sufficient condition and application of conjugate differentiable complex function in complex system.
给出了复形式的复变函数的共轭可微性充要条件的证明及其重要应用。
For global consistency judgment problem in AHP, a necessary and sufficient condition that the satisfy global consistency is true was provided.
针对层次分析法（AHP）中下层存在不满足满意一致性条件判断矩阵的整体一致性判别问题，提出了具有满意一致性的充要条件。
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 the paper, it has discussed the action of a phase on necessary and sufficient Condition of coherent state to remain its state on the time evolution.
本文讨论了相位因子对相干态在时间演化中保持不变的充要条件所造成的影响。
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。
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 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。
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 paper presents a necessary and sufficient condition for topological dynamical system to be topologically conjugate with a generalized symbolic dynamical system.
本文证明了，拓扑动力系统与广义符号动力系统拓扑共轭的一个充分必要条件。
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, 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。
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。
The exchangeable necessary and sufficient condition is given for a class upper triangular matrixes, and out of it, we have got a simple method of obtaining inverse matrixes.
给出了一类上三角形矩阵可交换的充要条件，并由此得到了求其逆矩阵的一种简便方法。
A necessary and sufficient condition for nonlinear systems to achieve optimal regulator is given by using the return difference condition and completion of the squares argument.
利用返回差条件，借助配方方法讨论非线性系统达到最优调节所必须满足的充要条件。
A necessary and sufficient condition for nonlinear systems to achieve optimal regulator is given by using the return difference condition and completion of the squares argument.
利用返回差条件，借助配方方法讨论非线性系统达到最优调节所必须满足的充要条件。
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