Alon , n . , et al . " scale sensitive dimensions , uniform convergence , and learnability . " ? symposium on foundation of computer science ( 1993 ) 该文给出了对于实值函数与分布无关的一致收敛性的充分必要条件。
Based on differential geometry theory , sufficient and necessary conditions are derived for the existence of the state feedback control laws 基于微分几何理论，给出该状态反馈控制规律存在的充分必要条件。
A necessary and sufficient condition for the existence of positive solutions of a class of singular boundary value problems of higher order differential equations 一类高阶奇异边值问题正解存在的充分必要条件
Thus , market competition and intellectual property rights protection are sufficient and necessary for national innovation system 可见，市场竞争环境与知识产权保护是国家创新体系得以运行和循环的充分必要条件。
In chapter 6 we obtain the necessary and sufficient conditions for triangles to fit in squares and for triangles to fit in rectangles 在第6章中我们给出了三角形可嵌入正方形和三角形可嵌入矩形的充分必要条件
Is studied . some necessary and sufficient conditions for the existence of a positive definite solution of this equation are derived 有对称正定解的两个充分必要条件，它们在算法设计和理论分析上可能有一定的用途。
In this paper , we study the transitive properties of bipartite tournaments and tournaments , and give the sufficient and necessary conditions of them 摘要研究了二部竞赛图和竞赛图的传递性，给出了它的充分必要条件。
Therefore , some necessary and sufficient conditions for the stability of the perturbed systems subject to the robust performance are proposed 从而得到扰动系统在满足一定稳定指标约束条件下，系统稳定的充分必要条件。
For a p _ series induced from some one - step numerical method , the sufficient and necessary conditions of pseudo - symplectic order q are presented 对于一个单步数值方法所对应的p - series ，给出了其具有拟辛阶q的充分必要条件。
In the second section , we will present a ring - theoretical proof for the necessary and sufficient condition for a [ d ] to be simple , as an associative algebra 第二节给出了a [ d ]作为结合代数是单的充分必要条件的一个环论的证明。
