查询词典 integral criterion

What is discussed in this paper is on the applications of the integral upper limit function in proving the equality, proving the inequality, calculating the repeated integral , the theorem of integratl mean value , prove the theorem of differention mean value .

给出了积分上限函数在证明等式和不等式、算累次积分、明微分中值定理和积分中值定理中的应用。

The phase anomaly zones are investigated on the basis of the integral theorem of Helmholtz and Kirchhoff in terms of the Kirchhoff′s boundary conditions and the physical meaning of the integral for the diverging and converging spherical waves.

从波动方程出发，在基尔霍夫边界条件下，根据积分的物理意义，简明地研究了发散和汇聚球面波的相奇异区域分布。结果表明，除了汇聚的球面波焦点区域存在相奇异现象外，焦点以外的区域及对发散的球面波同样存在相奇异现象。

The integral solutions for waves are obtained by means of integral transform.

运用积分变换法得到了波动的积分解。

To do that,the integral definition of vector magnetic potential and the Lorentz gauge is used to expand the integral equation of the PEEC model.

为此它以矢量磁位的积分表达式和洛仑兹规范代替了矢量磁位和标量电位的积分表达式，对积分方程进行展开。

In fact, we can allow patterns of the form , where is an integral vector, so that the direction of the step is determined by forming an integral combination of the columns of B. The special cases

事实上，我们可用的模式，这里是一个整数向量，因此步进方向由组成B的列的整数组合决定。Céa和Polak研究的特殊情况可简单地选择B为I和而得到。

This dissertation focuses on the vector stochastic integral and its applicationsto mathematical finance. We first conduct a comprehensive study on VSI and provide aneconomical justification on the question of why VSI is more suitable than the component-wise stochastic integral for mathematical finance.

本论文以向量随机积分为主线，首先较为系统地研究了向量随机积分，给出了在金融数学中使用向量随机积分较之使用按分量的随机积分更合理的经济学解释。

Firstly, by using the vector integral theory and boundary conditions of the electromagnetic filed, the boundary problem of two electromagnetic fields in the upper half space and lower half space is transformed into two vector integral equations just related to the topography interface, i.e.

提出了一种用边界元法计算频率域人工源三维地形电磁场的数值模拟方法。

The fact that the integral variable of the inverse transform appears in the denominator of integrand reduces resolution of the numeral integral and blocks the application of them.

为此构造了一种新型的连续小波变换，不论对积分变量如何剖分，任何一种数值积分方法都具有高分辨特性，且积分变量不出现在被积函数的分母上，进而给出了相应的数值解法。

One method is the singularity transferring method for calculating integral value containing O(1/R) singularity in its integrand［1］.The other singularity is removed first and the integral contribution of this small area is proved to be zero.

另一种方法是为解决O(1/R2)高阶奇异积分的数值计算问题的，它是通过排除一包含奇点的有限小块，而这一小块区域对积分的贡献为零，从而使积分方程在整个积分域变得数值可积。

Firstly,on the basis of the generalized fuzzy integral,which is defined by nonnegative measurable functions. Through introducing T-norm operator,we extend the integrand functions to the fuzzy valued function and give the definition of so-called T-fuzzy valued integral.

首先，在针对非负可测函数所定义的广义模糊积分的基础上，通过引入T—模算子，将被积函数推广到取值于模糊数的模糊值函数，给出了所谓的T—模糊值积分定义，获得了这种积分的一些基本性质。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。