This paper mainly presents the problem for the continuity of function of several variables,and introduces some new methods to verify the continuity for multivariate functions.
本文主要讨论了多元函数的连续性问题,介绍了几种判定多元函数连续性的方法。
On the Original Functional Continuity of Sectional-continuous Function and Its Application
关于分段连续函数的原函数的连续性及其应用
A Talk on Maximum and Continuity of Function;
比较法在数学教学中的运用——从“函数的极限”与“函数的连续性”谈起
About Property of Darboux Continuous Function
关于Darboux连续函数的性质
On the Comparison of Identical Continuity and Absolute Continuity of the Function;
函数的一致连续性与绝对连续性比较研究
Research on several qualities of equidegree continuous function and generalised equidegree continuous function;
关于等度连续函数和广义等度连续函数的几个性质的研究
Some Sufficient Condition on Monotonicity and Differentiaability of Continuous Function;
连续函数单调性与可导性的充分条件
The Uniform(R)Integrability of A Sequence of Equicontinuous Function;
等度连续的函数列的一致(R)可积性
The Existence of Extremes for Continuous Function in the Interval[a,+∞);
连续函数在[a，+∞)上最值的存在性
Applications of the mean value theorem for continual function;
连续函数介值性定理的两个有趣应用
Discussions on Medium Issues of Continuous Function;
关于连续函数介值性问题的若干讨论
The Continuity of Free Boundary to the p-Laplacian Equation with Nonlinear Source
具源函数的p-Laplacian发展方程边界连续性
About decision theory of function′s uniformly continuous
关于可导函数一致连续性的判定定理
The function is continuously differentiable.
函数是连续可微分的。
discontinuous approximation
对不连续函数的近似解
On the Continual Function of Lipschitz in the Interval;
在区间上Lipschitz连续的函数
The Continuation Problem of Continuous Function and Uniformly Continuous Function in Sets;
集上的连续函数及一致连续函数的延拓问题
Algebraic Criteria for Positive Realness of Discrete Transfer Function and Finite Frequency Positive Realness of Continuous Transfer Function
离散传递函数正实性与连续传递函数有限频率正实性的代数判据
The Relationships between Prequasiinvex Functions and Semi-Continuous Functions
预拟不变凸函数与半连续函数的关系