展开

Analytic solutions of post-Newton metric component were got by series expansion in oblate ellipsoid coordinate system.

对由后牛顿效应产生的度规分量利用椭球坐标系及级数展开求得解析解。

We give the reconstruction of series expansion in lattice-invariant spaces and prove that the improved A-P iterative algorithm is valid in the common shift-invariant spaces. Under adding proper conditions, the improved algorithm holds in the lattice-invariant spaces too.

我们给出了在格不变空间中的级数展开重构，并证明了在一般的平移不变空间中的改进A-P迭代算法也是可行的，说明了在适当增加条件时此改进A-P迭代算法在格不变空间中也是成立的。

Neumann series expansion in Monte-Carlo finite element is used to find the stress of fiber winded composite structures with stochastic factor; Structure reliability formula are then given by Monte-Carlo comparison method and Tsai-Hill failure criteria.

将纽曼级数展开的蒙特卡罗随机有限元应用于具有随机因素的纤维缠绕结构的应力求解；然后利用蒙特卡罗直接比较法和蔡希尔失效判据给出该结构的可靠性算式。

The time-domain response of the induced currents on a scattering object irradiated by a plane wave with a Gaussian pulse in time is expanded as an associate Hermite series in this paper. Using the isomorphism of the associate Hermite function and its Fourier transform, the frequency-domain information can be obtained similarly to the time-domain expansion. According to the corresponding relation between time-domain analysis and frequency-domain analysis, and using the early-time response and the low-frequency information of the induced currents, the non-known coefficients in the expansion series can be decided. The entire responses of the induced currents on the scattering object in both time and frequency domains can be obtained at one time by simultaneous extrapolation computation using both the early-time response and the low-frequency information of the induced currents.

摘要首先根据散射体在高斯脉冲平面波激励下感应电流的能量几乎全部集中在时间轴和频率轴上的有限范围内，该文将时域响应展开为系数待定的连带Hermite级数的叠加，并根据连带Hermite函数的傅里叶变换的自反性，得到与时域响应形式类似的频域响应；然后利用时域方法和频域方法分别计算散射体上感应电流的早时响应和低频信息；最后经过时域和频域联合外推计算，由早时响应和低频信息确定时域和频域响应的待定系数，从而获得了整个时域和频域的完全响应。

Based on expansion of ODF in series of Generalized Spherical Harmonics by Bunge, we design programming in Orientation Distribution Function for polycrystal which contained five thousands crystals based on increment arithmetic of Voronoi. Geometrical data information, ODF of every crystal in polycrysal are imported to Open Graphics Library to draw, that means we implement visualization of ODF for every crystal in polycrystal.

主要针对具有立方结构的多晶体材料，采用Bunge级数展开法模型计算取向分布函数的理论模型，利用C语言在VC++环境下对ODF值进行了计算，并以Voronoi增量算法为基础生成包含有5000个晶粒的多晶体材料各晶粒的几何数据信息，与计算得到的ODF值一起导入OpenGL进行可视化处理，直观显示了多晶体材料中ODF值在各晶粒内的分布。

For the long composite cylindrical panels, including the influences of the transverse shear deformation, rotatory inertia and initial geometric imperfections, the nonlinear dynamic equations of the long composite cylindrical panels were derived from Hamilton's philosophy. The nonlinear partial differential equations were transformed to ordinary differential equations by expansion in series and solved numerically by fourthorder Runge-Kutta method.

针对含初始几何缺陷的复合材料圆柱曲板，考虑横向剪切变形、转动惯量、初始几何缺陷以及非扁壳等诸多因素，利用Hamilton原理导出复合材料长圆柱曲板的非线性动力方程；用级数展开把非线性偏微分方程组转化为二阶常微分方程组，并由四阶Runge-Kutta方法数值求解。

In view of the third purpose, time series method is applied, by means of Sylvester Expansion Theorem, this paper improves an algorithm of constructional analysis of l...

本文基于建模目的3，应用时间序列方法，依据Sylvester展开定理提出一种线性系统结构分析的算法，并给出线性系统的一个简易定阶法。

By means of the expansion theorem, the displacement is expressed as the summation of the first several exact modal vectors.

考虑前若干阶线性振动模态，使用展开定理，将索的位移表示成共轭的模态函数的级数和。

In this essay, the author discusses the topic by giving his profound and incisive expatiation concerning various aspects.

作者从不同的侧面对此主题展开深刻而精辟的论述。

It begins with the critique of positivism, and analyzes the reason of collapse of the positivism, which bring about the decline of experientialism.

从对实证主义的批判的角度展开，分析实证主义崩溃的原因，以致逻辑实证主义最终走向衰落，从而导致了经验主义的衰落。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了