查询词典 integrable function

In the proof,sufficient conditions are proved mainly by properties of K function and continuity of Lyapunov function:in necessary proof,we separately structure Lyapunov functions which satisfy the conditions of the theorems, such that the results establish.

在定理的证明中充分性主要利用K类函数严格单调递增和Lyapunov函数的连续性；必要性的证明中，分别构造Lyapunov函数，满足定理的条件，使得定理的结论成立。

This article is mainly discussed the relation between some important concepts and conclusions about the Limit of Sequence, the Limit, Continuity ,Differentiability, Integrability of Function, the Infinite Series , and the Limit, Continuity, Derivativeness,Differentiability of Multivariable Function ,as well as the Multiple Integral, and Integral with parameter .

本文对数列极限，一元函数的极限、连续性、可微性、可积性，无穷级数，多元函数的极限、连续性、可导性、可微性以及重积分，参变量积分中的一些重要概念和结论之间的关系进行了一些探讨，每一个问题都作了适当说明或举出反例，并对一些相关的内容进行了讨论，得到若干结果。

This function is a kind of orthonormal function, and it can approximate almost any curve in quadratic continuous integral space, thus it enhances the generalization ability of the SVM.

该核函数不仅具有平移正交性，而且可以以其正交性逼近二次可积空间上的任意曲线，从而提升了支持向量机的泛化性能。

In this article the usual method of determining the distribution density of function of one-dimensional continuous random variable——distribution function method.

本文给出了求一维连续型随机变量函数分布密度的一般方法：分布函数法，并用分布函数法对现有文献中的计算公式进行了理论探讨，对现有的定理进行修正拓展，扩大了应用范围。

In our work, a new continuous thermodynamics method for petroleum fraction phase equilibrium calculation has been proposed, in which true boiling point distillation curves for petroleum fractions were considered to be a continuous distribution function and the distribution variable was TBP temperature, and at the same time, a spline method was used in the distribution function calculation.

在以上工作的基础上，建立了具有普遍实用性的常压塔精馏计算的数学模型，并对多个工业装置进行了实际的模拟，模拟结果与装置的实际情况符合良好，在预测塔的抽出温度，抽出产品的性质，以及各个侧线产品收率等方面都得到满意的结果。

If mark the probability density function of continuous random variable X and continuous random variable leave each other, then when,there is , there is inverse function of .

Theorem 如果将连续型随机变量和连续型随机变量的概率密度函数分别记为，则时有：，这里是的反函数。

Normal distribution in statistics is based on the probability density function in the form of representation, and set up a continuous random variable X, the probability density function f has the form of Figure 1, where a, b are constants and were known as the average value and standard deviation,π, e, respectively pi and natural constants, claimed that X subject to parameters a, b of the normal distribution.

正态分布在统计学中是以概率密度函数的形式表述的，设连续型随机变量X的概率密度函数f有图1中的形式，其中a、b为常数，分别被称为平均值和标准差，π、e 分别为圆周率和自然常数，则称X服从参数为a，b的正态分布。

In this paper, we present a nonmonotone line search model algorithm for the nonsmooth composite minimization problems minhf(x, where each f: Rn→Rn is a locally Lipschitzian function, and h: Rn→R is a continuously differentiable convex function.

1引言考虑下面的复合极小化问题minF=hf(x，(1 。1)二〔丫其中f：R"一R"是局部Lipschitz函数，h：Rn一R是下有界的连续可微的凸函数。对于问题(l 。1)，QIL、袁亚湘和孙文瑜等z1一

Take the method of "subarea" and "conjunction" to segment the whole request model to three parts. Making use of boundary continuousness between medium and lining structure at stress and displacement, construct a wave function that can satisfy the stress boundary condition at horizontal surface by the scattering of SH-waves in circular part. And then, availing of the wave function, conjoin the circular part into the semi-circular hollow space at common boundary. The problem can be reduced to solve the question that can only meet the condition of "conjunction". Finally, the solution of the problem can be summarized to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.

采用"分区"与"契合"的方法，将整个求解区域分割成三部分，利用介质与衬砌结构在边界上的应力、位移的连续性，构造一个可以自动满足水平界面上应力边界条件的圆域对SH波散射的波函数；再利用这一波函数将圆域与半圆形凹陷半空间的"公共边界"进行"契合"，将问题简化成对一个只需满足'契合'边界条件的散射问题的求解；最终归结为对一组无穷代数方程组的求解问题，利用截断有限项的方法对其进行计算。

The third part has tried to analyze the universality and diversity in syntacticdistributions among Shi Shi, Bu Shi , Shi Bu Shi , statement adverbs and descriptionadverbs. Pointing out the function doubleness (embody the statement and description)derive from the semantic doubleness (embody the meanings of "Chang Chang and PinPin),The three words bridge the function of statement adverbs and descriptionadverbs,the part also points out that the "Shi Shi "shoud be divided into "Shi Shi1"whichexpresses continuousness and"Shi Shi2 which expresses repeatlity.

第三章对"时时"、"不时"、"时不时"同判断类频率副词与描写类频率副词分别进行了句法分布上的比较分析，指出这三个词功能的双重性来源于它们语义的双重性(既有"常"类副词的意义，又用"频"类副词的意义)，指出了它们在频率副词系统中所起到的桥梁作用；并对"时时"作了表延续义的"时时_1 "和表重复义的"时时_2 "的区分。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样