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。
A discussion of the relations between continuity, partial derivative, directional derivative and differentiability of binary function is helpful for us to study binary function.
探讨二元函数的连续性、偏导数、方向导数以及可微性之间的关系，有助于我们对二元函数的学习。
As to their applications, the continuity and uniformly continuity of derivative mapping are characterized by the two new notions of differentiability.
作为应用，我们证明了这两个新的可微性概念分别给出了导映象的连续性和均匀连续性的特征刻划。
This course consists of several major parts, such as Functions, Limits and Continuity, The Derivative, Integration and Ordinary Differential Equation.
课程内容包括函数、极限与连续、一元函数微分学、一元函数积分学和常微分方程等几大板块。
Continuity on first derivative of wave function is discussed by means of several instances of finite and infinite transitions of potential function and hereby continuity conditions is pinpointed.
结合势函数有限跃变和无限跃变的几种实例，讨论波函数一阶导数在势函数跃变处的连续性问题，从而进一步明确连续性条件。
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.
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。
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