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