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.
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。
A discussion of the relations between continuity, partial derivative, directional derivative and differentiability of binary function is helpful for us to study binary function.
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。
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.
最后，在恰当的假设条件下，获得了弱扰动映射的二阶邻接导数的上半连续和下半连续性。
Finally, under suitable assumptions, we obtain the upper semicontinuity and the lower semicontinuity of second-order adjacent derivatives for the weak perturbation maps.
本文指出前苏联学者布洛欣采夫由几率流密度的连续性论证波函数及其一阶导数的连续性中有不妥之处。
The paper will point out that there was a fault in deducing the continuity of probability current density through the continuity of wave function and first order devirative by a scholar of Soviet.
首先，我们建立了集值映射二阶相依导数和二阶邻接导数的连续性和闭性。
Firstly, we establish continuity and closedness of second-order contingent derivatives and second-order adjacent derivatives for set-valued maps.
多元函数的连续性，偏导数，方向导数及可微性之间的关系。
The Relation between the Continuity, the Partial Derivatives, the Directional Derivatives and the Differentiability of a Function.
本文在泛灰函数的极限概念基础上，进一步讨论了泛灰函数极限的运算及运算性质，为讨论泛灰函数的连续性以及泛灰函数的导数奠定了基础。
Some definitions of four fundamental operations of grey number and grey function are given in this paper, also we have given the whiting method of grey function.
本文在泛灰函数的极限概念基础上，进一步讨论了泛灰函数极限的运算及运算性质，为讨论泛灰函数的连续性以及泛灰函数的导数奠定了基础。
Some definitions of four fundamental operations of grey number and grey function are given in this paper, also we have given the whiting method of grey function.
应用推荐