积分上限函数是一元函数微分学的基本概念。
Integral upper limit function is a basic concept in function differential calculus.
实验测试结果表明，该算法对一元函数和多元函数都有很好的效果。
Simulation test illustrates that the presented algorithm is efficient for both one-variable functions and multi-variable functions.
一元函数微积分学是高等数学的基础，直接影响学生数学素养的培养。
As the base of high mathematics, differential and integral calculus for function of one variable has the direct influence on the training of students mathematics attainment.
本文给出了一元函数Cauchy微分中值定理在多元函数中的推广。
This paper gives an extending of Cauchy's mean-value theorem on functions of several variables.
二元函数的极限远比一元函数的极限复杂，但它们之间又有密切的联系。
Limit of function of two variables is more complex than that of one variable.
本文将一元函数的罗尔定理推广到多元函数中，并给出了一个简洁、颖的证明。
In this paper, the Rolle's theorem of a variadle function is extended to multiple-variable functions. The paper, then, gives a new and simple proof.
并根据数学分析中一元函数和多元函数的极限的相关知识，在理论上证明了该指标的有效性。
According to unary function limit and multivariate function limit of mathematical Analysis, the validity of the index Vnew is proved in theory.
给出了一元函数在区间上一致连续的一个等价条件，并运用它证明了一些函数的一致连续性。
AN equivalent condition of function's consistent continuity is proved. Application of it in several examples is showed.
利用多元函数极值的定义和偏导数的定义公式证明二元函数与一元函数在某点取得极值的关系。
This article use the diverse function extremum and the local derivative's definition formula to prove the relation between extremum obtained by the two function and the dollar function at some point.
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。
This course consists of several major parts, such as Functions, Limits and Continuity, The Derivative, Integration and Ordinary Differential Equation.
将一元函数和二元函数极值的部分判别方法推广到多元函数极值的判别，提出了判定多元函数极值的几个方法。
The extreme conditions for the monovariate functions were applied to the multivariate functions and then an effective method to decide the extreme values for the multivariate functions was presented.
在一元函数广义导数定义的基础上，提出了多元函数广义偏导数的概念，相应地建立了广义偏导数的运算规则，获得了有关的一些性质。
Concept and operation rules of generalized partial derivative of multivariate function are given basis on generalized derivative of single variable function in this paper.
在一元函数广义导数定义的基础上，提出了多元函数广义偏导数的概念，相应地建立了广义偏导数的运算规则，获得了有关的一些性质。
Concept and operation rules of generalized partial derivative of multivariate function are given basis on generalized derivative of single variable function in this paper.
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