查询词典 integrand

The continuity of integrand on closed interval is the important condition for the validity of Newton-Leibniz formula .

被积函数在闭区间上连续是牛顿-莱布尼兹公式成立的重要条件，通过削弱该条件使牛顿-莱布尼兹公式的应用范围得到了推广，并举例说明。

The Monte Carlo integration that the domain of integration is curved or complex connected curved polyhedron and the integrand has singular points is discussed in this chapter.where G is the domain of integration that is the curved polyhedron, and X P,where G, G,(i = 1,2,...s) is the domain of integration thatis the curved polyhedron,Chapter 3 Deals with the computer simulation on the multiple random current and LIFO multiple service desks mixed queuing system modles in discrete event system.

Z，为。厂的奇异点，且、训方」 SZ；。G一U乓，：一'，2，第三章讨论了多随机顾客流且后进先出的先有Ul个服务台并联，然后有 V个服务台串联，最后有UZ个服务台并联的串并联混合和先有 Vl个服务台串联，然后有U个服务台并联，最后有VZ个服务台串联的串并联混合多服务台排队系统模型的计算机模拟。

According to the variation, features of the integrand, the values of peaks and troughs are taken out and formed a slowly convergent series, and the repeated averaging scheme is performed to calculate the limit rapidly and accurately.

根据被积函数的变化特点，将波峰和波谷值抽取出来组成慢收敛序列，利用重复平均法快速而准确地求出其极限值。

According to the variation, features of the integrand, the value s of peaks and troughs are taken out and formed a slowly convergent series, and the repeated averaging scheme is performed to calculate the limit rapidly and accurately.

根据被积函数的变化特点，将波峰和波谷值抽取出来组成慢收敛序列，利用重复平均法快速而准确地求出其极限值。

The maximum principle of the optimal control for the stochastic systems described by Zakaj stochastic partial sifferential equationis proved by approximately minimum point theorem of E. Ekeland. The convexity and compactness of the set of control values is not assumed, and it is not necessary for the maximum principle about differentiability in control variables included in drift term of the stoch astic system and the integrand in index functional, and costate process satisfies the stochastic partial ...

在不假便定控制变量取值的集合是凸的和紧的，不要求随机系统的漂移项和指标泛函的被积函数关于控制变量具有可微性的情况下，用E，Ekeland的近似极小点定理证明了Zakai随机偏微分方程描述的随机系统的最优控制的最大值原理，和用很简洁的方法证明了协态过程满足一个随机偏微分方程。

The paper introduces the method of calculating double integral with symmetry,and then puts forward a calculating method by rebuilding integrand and domain of integration reasonably.

本文还介绍了如何利用对称性来计算二重积分，并提出了通过适当改造被积函数和积分区域以利用对称性来简化计算的方法。

Property 2 The constant factor in the integrand function can be taken out of the double integral, that is ,if k is a constant.

性质 2 被积函数前面的常数因子可以提到积分号前面，即，若k为常数。

In order to solve the problem,We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential manifold. The travel time are expressed as polynomials of the horizontal offset between the two points, and the single-square-root operator in frequency-wavenumber domain are expressed as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddle-point method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量(地面点到地下相点的水平距离)的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

In order to solve the problem, We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddlepoint method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量（地面点到地下相点的水平距离）的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

In order to avoid the singularity in the integration, the integrand was expressed to be sum of complex exponential terms by using discrete complex image method. With generalized pencil of function method introduced, the number, location and intensity of images were obtained without extracting the quasi-static and surface wave terms in the integrand, which makes DCIM more efficient for multi-layered media.

为了避免积分中的奇异性，利用离散复镜像法将积分核用复镜像的指数求和式表示，引入广义函数束方法，可以在不提取积分核中表面波项的条件下，采用数值方法提取准静态项，给出复镜像点的数目、位置和强度，使得该方法在多层介质情况下对格林函数的计算更为有效。

He is intelligent, passionate, and a fun guy to hang around with.

他聪明、热情，而且是个相处起来很有趣的人。

First-rate method is to send a person to do mastication technically to digest these stuffs.

最佳的办法是派一个人专门干咀嚼消化这些东西。