这是一个重要的前提，也是充分必要条件。
It is the main precondition. It is both sufficient and prerequisite condition.
结果经过研究得出了框架冗余的充分必要条件。
Results Necessary and sufficient conditions for a frame to be redundant are given.
讨论了全对称实矩阵是全正定矩阵的几个充分必要条件。
Some sufficient and necessary conditions of the full symmetric real matrix is full definite matrix are discussed.
本文给出无穷维半线性系统能控的充分必要条件及其应用。
In this paper, the necessary and sufficient conditions of controllability on a infinite dimensional semilinear system are given.
本文用二维随机游动方法得到了其稳定性的充分必要条件。
In this paper, we obtain the sufficient and necessary condition for the stability by two-dimensional random walk approach.
给出了其在矩形区域上局部能达和局部能控的充分必要条件。
The sufficient and necessary conditions for local reachability and local controllability in the rectangle are presented.
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。
In this paper, We give a necessary and sufficient condition that closed decomposable operator, is strongly decomposable.
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。
This paper first gives out definition of receipt-freeness, and prove necessary and sufficient condition of receipt-freeness.
给出了一个判定齐次线性方程组存在全非零解的充分必要条件。
We present a necessary and sufficient conditions of homogeneous linearity equations existing all-nonzero solution.
给出了NESAC网结构活判定的充分必要条件以及它们的证明。
Moreover, proves the sufficient and necessary conditions of deciding if NESAC nets is the structural liveness.
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。
A necessary and sufficient condition of the existence of prime model is proved.
本文论述了机构中存在虚约束的充分必要条件及虚约束的判定准则。
The paper discusses the criterion for deciding virtual constraint and the sufficient and necessary conditions for the constraint existing in mechanisms.
基于解的充分必要条件，讨论了一类变量变分不等式的神经网络方法。
Neural networks for solving a class of variant variational inequalities are studied under the necessary and sufficient conditions of the solution.
本文给出了度量空间中某些同胚非扩张映射不动点存在的充分必要条件。
In this paper, some results on fixed points of homeomorphic maps in metric Spaces have been obtained.
首先根据特征值判据，给出单乘性区间线性系统鲁棒稳定性的充分必要条件。
Firstly, according to eigenvalue criterion, the robust stability necessary and sufficient conditions of single-multiplication interval linear systems are given.
借助于变量代换，求解几类线性微分方程，并得到了几个求解的充分必要条件。
With variable substitution, several kinds of linear differential equations are solved and several sufficient and necessary conditions are obtained.
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。
The paper presents a necessary and sufficient condition for topological dynamical system to be topologically conjugate with a generalized symbolic dynamical system.
利用向量比较原理，得到了确定非线性电路平衡点全局渐近稳定的充分必要条件。
The sufficient and necessary conditions for the global asymptotic stability of the equilibrium point of the nonlinear circuits are obtained by vector comparison method.
在第二个问题中，我们给出了在离散的情形下，指数族势函数严凸的充分必要条件。
In the second we give the necessary and sufficient conditions for strict convexity of power function of exponential family in the discrete case.
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。
In this paper, some necessary and sufficient condition about the equivalence of two column vector groups has been discussed.
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。
It is obtained that a necessary and sufficient condition for a closed fuzzy set to be a convex fuzzy set.
对状态反馈等四种典型问题和输出反馈控制问题，给出了控制器存在的充分必要条件。
The sufficient and necessary conditions of existing appropriate controllers are given for special problems, such as state-feedback control and dynamical output feedback control problem.
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。
Based on Darboux theory, this paper discussed the integrability of the Riemann Integral and provides a necessary and sufficient condition for integrability.
结论建立正确的测试方法和正确的测试结果表示法是正确评价测试对象的充分必要条件。
Conclusion the establishments of accurate testing methods and accurate expressions of testing results were the sufficient and essential conditions for accurate evaluation on testing objectives.
研究超图的控制集和完美控制集并给出超图的控制集和完美控制集存在的充分必要条件。
The domination sets and perfect domination sets in hypergraphs are researched, and the conditions of sufficient and necessary of domination sets and perfect domination sets are given.
本文讨论了回归独立性与随机独立性之间的关系，得到了两者等价的几个充分必要条件。
The relation between regressive independence and random independence is discussed, and several necessary and sufficient conditions are presented.
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 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 section, we also establish a necessary and sufficient condition for the algorithm of the mixed scheduling.
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