查询词典 harmonic integral

Convex body; star body; polar body; inequality; extremum; i—th width integral of convex body; mixed width-integral of convex bodies; mixed chord-integrals of star bodies; affine surface area; mixed affine surface area; mixed projection body; mixed body; L_p-projection body; L_p-centroid body

基础科学，数学，几何、拓扑凸体；星体；极体；不等式；极值；凸体i-次宽度积分；凸体混合宽度积分；星体混合弦长积分；仿射表面积；混合仿射表面积；混合投影体；混合体； L_p-投影体； L_p-质心体

On the other hand, since the integral of solid angle can be calculated aforehand, we are left with only radial momentum integral for numerical calculations.

胶子场的基函数以横电、横磁、纵向三种模式出现，展开系数具有直观的物理意义。

Secondly, by applying inverse Fourier integral transform to the displacement, and uniting the constitutive and geometrical equations, the analytical expression of stress in Laplace domain were derived. Thirdly, by defining dislocation density functions, the Cauchy singular integral equations were obtained according to the boundary condition and interface connection conditions, and the problem was reduced to algebraic equations by Chebyshev orthogonal polynomial. Based the these, the unknown coefficient of the algebraic equations can be solved by Schmidt method. Finally, the time response of dynamic stress intensity factor and energy release rate are obtained by inverse Laplace transform.

首先，利用积分变换方法，推导出粘弹性层的控制方程组；其次，引入位错密度函数，并结合边界条件和界面连接条件，导出反映裂纹尖端奇异性的Cauchy型奇异积分方程组，然后，应用Chebyshev正交多项式化奇异积分方程组为代数方程组，并采用Schmidt方法对其数值求解，最后，经过Laplace逆变换，求得动态应力强度因子和能量释放率的时间响应。

With the publication of the Dai Wei Ji Shi Ji, a translation of Loomis' textbook Elements of Analytical Geometry and of the Differential and Integral Calculus (1851), in 1859, the differential and integral calculus was introduced into China.

19世纪后期是中国数学由传统向近现代转化的一个重要时期，微积分是近代数学乃至大部分自然科学的最基础的理论，这个理论是从1859年出版的译著《代微积拾级》中介绍到中国来的。

This paper makes use synthetically of series expansion and asymptotic expansion of complex argument Fresnel integral and the connections of the two expansions are found and analyzed. The computing of Fresnel integral in whole complex plane is so solved perfectly.

本文综合运用了复宗量菲涅耳积分的小宗量级数展开和大宗量渐近展开，并且找到了大宗量展开与小宗量展开的衔接部，圆满地解决了菲涅耳积分在整个复平面内的计算机计算问题。

In this thesis, we provide a simpler form of the axisymmetric boundary integral equation, and modify some aspects of the direct boundary integral method.

本论文给出了轴对称情形下边界积分方程的一个更简单的形式，并在若干方面改进了直接的边界积分算法。

We prove the fuzzy set-valued characteristicfunction of a compact Baire fuzzy set can be approached by fuzzy set-valuedcontinuous functions with fuzzy compact support sets,the integral of integrablesimple Baire fuzzy set-valued function can be approached not only by the integralsof integral simple fuzzy set-valued functions,but also by the integrals of fuzzy set-valued continuous function with fuzzy compact support sets.

定义了诱导空间上具有模糊紧支集的模糊集值连续函数，说明了它与分明的具有紧支集的连续函数的关系，证明了紧贝尔模糊集的模糊集值特征函数可以用具有模糊紧支集的连续函数列来逼近，可积简单贝尔模糊集值函数的积分可以用可积简单模糊集值函数的积分来逼近，还可以用具有模糊紧支集的模糊集值连续函数的积分来逼近。

In chapter 3, we study the Bihari type inequality of integral equation with retarded term, we consider the inequality of integral equation as follows:In this section we will get some new result about the inequality (3.1.1) on t_0,∞.

我们考虑了下面的积分方程不等式这节我们将得到不等式(3.1.1)在t_0，∞上的一些新结论，同时将给出一个反例，修正了文

Subsequently,Bihari\'s inequality is generalized to the equation with fractional integral kernel.With the help of the new inequality,we further weaken the condition on equations with special integral kernels,and obtain the corresponding results.

然后，将Bihari不等式推广至具有分式积分核的情形，利用新的不等式对具有特殊积分核的方程条件做了进一步减弱，建立了相应的存在唯一性和正则性结论。

Based on the boundary integral formula and natural boundary integral equation for the boundary value problems of biharmonic equation , the non-symmetrical banding solutions to the circular plate under thermal boundary conditions are gained by the Fourier series and convolution formulae.

根据双调和方程边值问题的边界积分公式和自然边界积分方程，利用傅立叶级数及卷积的几个公式，求得了相应变温边界条件下非对称载荷圆板的弯曲解，从实践上证明了此方法的可行性。

The teacher likes the honeymouthed little girl very much.

老师很喜欢这个嘴甜的小姑娘。

Mr. Notker Bien's interests are traveling, spending quality time with the family and long-distance-running.

诺特卡·柏恩先生热爱旅游，长跑，以及和家人一起共度美好时光。