associated function

Based on the fundamental formula and property of the theory of associated Legendre function,in the paper,the orthogonal properties of different levels and orders of associated Legendre functions p~k_n(x) and p~l_m(x) on the with weight ω(t)=(1-x~2)~(()~(k-l2)) are proved in detail.

根据连带勒让德函数的递推公式和基本性质,本文详细推导了不同阶次连带勒让德函数pkn(x)与plm(x)在闭区间[-1,1]上关于权函数ω(x)=(1-x2)k2-l的正交性。

This paper considers some properties of continuous functions.

该文讨论了周期连续函数的若干性质,刻画了一些函数集合之间的包含关系。

This article extends the zero-point theorem for continuous functions from a closed interval to other types of intervals,and a series of zero-point theorems for continuous functions on relevant intervals are obtained,so that the theory on the zero-point theorem can be applied in more general cases.

将闭区间上连续函数的零点定理扩展到其它区间上,得到若干个相应区间上连续函数的零点定理,从而使零点定理理论更完善、应用更广泛。

In this paper,Stancu-integral type operators are first constructed on simplexes,then discusseions on approximation to continuous functions are made.

本文首先构造了单纯形上积分型 Stancu算子 ,其次讨论了它对连续函数的逼近 。

discontinuous approximation

对不连续函数的近似解

About Property of Darboux Continuous Function

关于Darboux连续函数的性质

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

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

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

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

SEEP/W models these relationships as continuous functions.

SEEP/W采用连续函数模拟这种关系。

Not all continuous functions are differentiable.

不是所有的连续函数都是可微的。

The Existence of Extremes for Continuous Function in the Interval[a,+∞);

连续函数在[a，+∞)上最值的存在性

The function is continuously differentiable.

函数是连续可微分的。

piecewise continuous differentiable function

分段连续可微分函数

infinitely continuously derivable functio

无限次连续可微函数

On the Continual Function of Lipschitz in the Interval;

在区间上Lipschitz连续的函数

Several Necessary and Sufficient Conditions of the Demicontinuity and the Continuity of the Real Valued Function;

实函数半连续、连续的某些充要条件

On the Relationship between Continuity and Partial Continuity of Duality Function;

关于二元函数的连续与偏连续的关系

The angular part of a continuum wave function is, of course, a spherical harmonic.

连续谱波函数的角度部分当然是球谐函数。

The Limits and Continuities of Regarding Function of One Variable as Function of Two Variables;

视一元函数为二元函数时的极限与连续

The Calculate Formula about Several Density Functions of Continuous Type Random Variable Function;

连续型随机变量函数的密度函数的计算公式