函数的积分

The boundary element simulation method for the interaction of oblique linear waves with long prismatic floating ocean structures with arbitrary cross section is investigated by using the second kind modified Bessel function. The singular integral method in a constant or linear element and the open boundary treatment are proposed.

采用第二类变形Bessel函数对斜向线性入射波与任意截面形状的长棱柱型浮式海洋结构物的相互作用问题进行了边界元法模拟，给出了常数元和线性元的奇异积分处理方法以及开边界的处理方式。

In Chapter 2, by means of the integral theory, a number of reciprocal series involving binomial coefficients have been established and some results related to binomial coefficients have been extended.

本章利用定积分的方法和常见的发生函数，结合一些运算技巧，建立了一些与二项式系数的倒数有关的恒等式。

By using the mathematical method of curve integrals,it derives the mathematical formula to calculate the cross-section ductile coefficient of RC ring section member.

从钢筋混凝土正截面承载力计算时的基本假定出发，建立了环形截面上各种应力图形的函数表达式，利用曲线积分的数学方法，推导出计算钢筋混凝土环形截面构件截面延性系数的数学公式。

The foundations theory of wavelet analysis are introduced, including integral wavelet transform , discrete wavelet transform , wavelet frames theory and its decomposition and reconstruction, multiresolution analysis theory and direct sum decomposition of L〓 space and reconstruction of functions based on multiresolution analysis theory.

介绍了小波分析理论的核心内容，包括积分小波变换、离散小波变换、小波框架理论以及小波框架的分解与重构、多分辨分析理论以及基于MRAT的L〓空间的分解与函数重构算法。

By introducing the generatingfunction method,the integrability of FDIHS is proved,which is thesimplest way we know so far.

通过引入母函数方法，较简洁地证明了系统的可积性，包括守恒积分族的对合性与独立性，其中关于对合性的证明是迄今为止最为简洁的证明。

Based on Born approximationmethod and the local principles of wave function in inhomogeneous medium and theray theory and the integral equation theory,this dissertation researches the theory andsimulation of the inversion method of large perturbational medium parameters andbreaks through the approximation condition of the small perturbational parametersand the weak scattering in traditional inversion method.

本文在Born近似方法的基础之上，基于非均匀介质中波函数局部理论和射线理论及积分方程等理论方法，对大扰动参数反演方法的理论和数值模拟进行了研究，突破了传统反演方法要求的参数小扰动和弱散射条件。

On the basis of DSC curves of B/KNO_3 igniter powder,the apparent activation energy E of thermal decomposition is calculated with Kissinger′s methods and the probable mechanism function is available from master plot method.

利用差示扫描量热法得到B/KNO3的热分解曲线，用K iss inger方程估算了B/KNO3的表观活化能，用标准作图法得到最可几热分解机理函数，再用积分法求得不同升温速率下热分解的动力学参数活化能E和指前因子A。

Based on the displacement function solution for plane issue in elastic mechanics, the common solutions of interface stress and displacement in multilayer coatings system are deduced by Fourier transformation, so that an effective and simple algorithm to calculate interface stress of coatings is obtained.

基于弹性力学平面问题的位移函数解法，运用Fourier积分变换推导了多层涂层体系界面应力及位移分量的一般解，得到一种高效、简便的涂层界面应力计算方法。

Based on the displacement function solution for plane issue in elastic mechanics, the common solutions of interface stress and displacement in multilayer coating s system are deduced by Fourier transformation, so that an effective and simple algorithm to calculate interface stress of coatings is obtained.

基于弹性力学平面问题的位移函数解法，运用Fourier积分变换推导了多层涂层体系界面应力及位移分量的一般解，得到一种高效、简便的涂层界面应力计算方法。

This paper adopts the trapezoidal asympotic formula, and provides a novel formulation deduced for the functions, which takes the influence of the singularities into account, like Romberg method.

通过推导该类函数积分的梯形公式的渐进估计式，得到了考虑奇点影响的外推算法－类Romberg算法。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。