证明了相应的连续性定理 ，逼近定理 ，计算能力定理等。
The related continuity, function approximation ability and computational capability theorems are proved…
由质点运动连续性公理导得力的连续性定理及关于质点运动轨迹的三个定理。
We can derive one theorem of the continuity of a force and three theorems about the trajectory of a particle with the particle-motion-continuity axiom.
应用闭区间连续函数性质和实数连续性定理，给出证明广义中值定理的一个新思路。
Closed interval continuous function and continuity theorem of real number apply to a novel demonstration of general theorem of the mean.
利用重合度的连续性定理，研究了一类多种群脉冲混合系统正周期解的存在性，得到了该系统存在正周期解的充分判据。
The study on the mixed system of meat - ISP showed a new type of protein was formed at about 60C with the interaction between the two proteins.
用致密性定理统一证明其它实数连续性基本定理。
Proves the other real number continuity fundamental theorems uniformly by the compact theorem.
讨论泰勒中值定理中中值点的连续性及可导性问题，给出泰勒中值定理中中值点连续及可导的充分条件，同时给出计算其导数的公式。
The continuity and derivative of the intermediate point in the Taylor mean value theorem are discussed, and some of their sufficient conditions are presented.
在2—距离空间中减弱映射的连续性条件下，给出了扩张映射的不动点定理及扩张映射对的公共不动点定理。
The fixed point theorems for expansion mappings and the common fixed point theorem for a pair of mappings are given in 2 metric spaces under the condition of weakening mappings continuance.
方法根据中心极限定理和连续性校正原理，给出一次近似法和校正一次近似法计算总体率可信区间的公式。
Methods Based on central limit theorem and continuity correction principal , the formula of once approximate method and its continuity correction formula were derived.
得到了分[数]指数空间一算子的强连续性和最优控制的存在性定理。
We give strong continuity of an operator connected with fractional power space and obtain existence of optimal controls.
讨论了积分中值定理中间点的单调性、连续性、可导性，给出了一组充分条件，并证明了三个相关定理。
The continuity and derivative of the intermediate point in the Taylor mean value theorem are discussed, and some of their sufficient conditions are presented.
讨论了积分中值定理中间点的单调性、连续性、可导性，给出了一组充分条件，并证明了三个相关定理。
The continuity and derivative of the intermediate point in the Taylor mean value theorem are discussed, and some of their sufficient conditions are presented.
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