In the forth chapter , a necessary and sufficient condition of the approximation by the partial sum of the generalized baskakov operators is discussed 第四章给出广义baskakov算子用其部分和来代替进行逼近的一个充分必要条件。
The relation between regressive independence and random independence is discussed , and several necessary and sufficient conditions are presented 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。
We proved that every closed maximal linear subspace in a banach space is strongly orthogonally complemented if and only if the space x is reflexive and strictly convex 摘要证明了闭的极大线性子空间是强正交可补的充分必要条件是，空间x是自反严格凸的。
In this paper , a sufficient and necessary condition is given to judge whether skolem functions can be eliminated from the extracted procedure or not , and the extracting method is shown 本文给出了是否能抽取出无skolem函数的程序的充分必要条件，同时给出了抽取算法。
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 摘要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。
By means of the associated digraph of matrices we obtain the necessary and sufficient conditions of whether irreducibly doubly diagonally dominant matrices belongs to non - singular m - matrices 借助于矩阵的伴随有向图得到了不可约双对角占优矩阵是否为非奇异m -矩阵的充分必要条件。
We obtain several necessary and sufficient conditions for every solution of the equations is oscillatory or tends to zero in every condition of the coefficient of neutral term 第一章讨论了带有强迫项的一阶变系数中立型微分方程在中立型系数的各种情形下其解振动或趋于零的充分必要条件。
If a and b are states conditions or events , then a is a necessary causal factor of b if and only if it is the case that if a had not occurred then b would not have occurred either 根本原因是可区分的，如下所示：如果a和b是状态或事件，那么a是b必要的因果要素的充分必要条件为，如果a没发生则b也不会发生。
Chapter three , we consider the forced first order difference equations with variable coefficients , and obtain some necessary and sufficient conditions for every solution of the equations is oscillatory or tends to zero 第三章建立了带有强迫项的一阶变系数中立型差分方程解振动或趋于零的充分必要条件。
And the general thoughts in which we can deal with the nonlinear integro - differential equations in banach space . chapter 2 fixed point theorems of concave ( convex ) operators and applications 在此基础上，我们证明了u _ o -凹增算子存在唯一正不动点的充分必要条件； - u _ o凸减算子存在唯一正不动点的充分条件。
