解空间

This paper describes a computer-controlled stroboscopic interferometer system for measuring out-of-plane motions of MEMS structures with nanometer resolution.

基于计算机控制的频闪干涉测试系统，文中提出了一种时间轴和空间轴双向解包裹的干涉条纹分析方法，实现了MEMS器件离面运动参数的精确测量，并与微结构平面结构图像模板相结合，可以进行MEMS器件全视场运动的分析，达到了纳米级分辨力。

This method is derived from the solutions of equations of motion of substructure under given interface force conditions.

这方法是根据给定交界面力的子结构基本方程的解推导出来的，采用了一个子空间基向量矩阵及一个组合矩阵。

The critical buckling loads and buckling modes are described by eigenvalues and eigensolutions in symplectic space.

在辛几何空间中，将圆柱壳的临界屈曲载荷和屈曲模态归结为辛本征值和本征解问题。

A Hamiltonian system was constructed for the fundamental problem of the dynamic buckling ,thereby problems of critical loads and buckling modes were reduced to determinations of eigenvalues and eigensolutions in a symplectic space and a symplectic method was proposed.

针对有内压或外压的弹性圆柱壳在轴向冲击载荷耦合作用下的动态屈曲问题，构造哈密顿体系，在辛空间中将临界载荷和动态屈曲模态归结为辛本征值和本征解问题，从而形成一种辛方法。

The Fourier transfermation about the azimuthal angle and Hankeltransfermation about the radial dirction have been used to turn the basic dis-placement equatioons and constitutive equations under cylindrical coordinatesystem into a system of second order ordinary differential equations in thewavenumber domain,by use of the initial prarameter method to solve differ-ential equations.

利用关于方位角的Fourier变换及关于径向的Hankel变换，将柱坐标系下位移基本方程和本构方程转化为波数域内二阶常微分方程组，利用求解微分方程的初参数法，建立了介质层的传递矩阵，导出了层状弹性半空间在地表作用任意静荷载情形下的解析解。

Several important nonlinear equations of mathematical physics such as φ4 equation, Klein-Gordon equation, the approximate equations of sine-Gordon equation and sinhGordon equation, Landau-Ginzburg-Higgs equation, Duffing equation, nonlinear telegraph equation are the special cases of the nonlinear wave equation presented in this paper.

几个有重要应用的非线性数学物理方程，如矿方程，Klein-Gordon方程，Sine-Gordon方程，及Sinh-Gordon方程的近似，Landau-Ginzburg-Higgs方程，Duffing方程，非线性电报方程等都可作为该方程的特殊情形得到相应的显式精确解，这里方法也可推广到n+1维空间情形。

The first method used not only the row element but also the column element of covariance matrix to structure a toeplitz matrix; this process accomplishes the function of forward/backward spatial smoothing for multipath signals.

第一种改进的方法不但利用了阵列输出协方差矩阵的行元素，而且还利用了阵列输出协方差矩阵的列元素构造Toeplitz矩阵，实现了前、后向空间平滑解相干的功能。

A planar geometric spline, biarc spline, is generalized to a 3D geometric spline whose curvature and torsion are all constant.

给出基于非线性规划解的双圆柱螺线样条局部构造法，把平面几何样条——双圆弧样条推广到常曲率和常挠率的空间几何样条。

Complexity theory is the study of tractability by computer; some problems, although theoretically solvable by computer, are so expensive in terms of time or space that solving them is likely to remain practically unfeasible, even with rapid advance of computer hardware.

复杂性理论是研究tractability计算机；一些问题，虽然理论上可解的电脑，如此昂贵的在时间或空间，解决他们可能仍然几乎不可行的，即使有迅速发展的计算机硬件。

According to a semi-infinite truncated cone model, in Laplace space the approximate analytical solutions of the bottom surface of rigid circular plate and semi-infinite viscoelastic medium are obtained and the calculating model and formulae of seismic forces are presented.

根据半无限截头圆锥模型，在拉氏空间中获得刚性圆板底面与半无限弹性介质相互作用的近似分析解，提出了刚性圆板地震力计算模型及计算公式。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失