条件方程

In this paper the effects of scanning truncation error, scanning position error, random amplitude and phase error, and multiple-reflection error in near-field antenna measurement are analyzed; error equations and the uncertainty of measurement are obtained through computer simulation; compensated techniques for reducing the effects of measurement errors in near-field antenna measurement are presented and the formula and arithmetic of phaseless near-field techniques are derived.

本文从解析法和数值仿真两个角度深入分析口面天线近场测量中扫描面截断误差、扫描面位置误差、随机幅相误差、多次反射误差等误差源对天线远场特性测量精度的影响，一方面从理论上给出相应的误差方程，另一方面建立误差分析模型，通过计算机模拟，得到不同误差条件下测量结果的不确定度，并介绍了减小这些误差的修正方法，推导无相位近场测量的公式和算法。

Element-free Galerkin Method is a effective method for solving partial differential equations with the help of shape functions coming from moving least squares approximation. It is well-suited to problems involving large deformation and crack propagation etc on which Finite Element Method can not be used easily. But EFGM is computationally expensive and it is hard to impose the essential boundary condition. Coupling the EFGM and FEM can fetch up the defect of EFGM and improve the efficiency highly.

无网格伽辽金法是基于移动最小二乘法的一种用来求解偏微分方程非常有效的方法，在处理诸如高度大变形、裂纹动态扩展等有限元法较难解决的问题时有其独特的优势，但是存在处理边界条件复杂，计算量大的不足，将无网格法同有限元耦合可以解决这些缺点，极大的提高计算效率。

In this paper, the important thing is analysis the function of the pipe umbrella in excavating period.

隧道开挖过程中管棚的作用机理分析是本文的重点，在分析了国内外的研究成果的基础上，提出了管棚的受力模式，并推导出管棚受力条件下的挠度方程。

Undoubtedly,it is of great importance to establish the existence and uniqueness under weaker conditions.

如果能在更弱的条件下建立随机方程的解的存在唯一性，无疑具有重大的理论意义。

Some sufficient conditions of the existence and uniqueness of the periodic solutions are obtained.

研究了一阶非线性泛函微分方程的周期解，得到了周期解存在唯一的一些充分条件，推广和改进了已有的结果。

An explicit finite difference scheme is constructed to simulate Baldwin-Barth one-equation turbulence model. By using Von Neumann analysis method, its stability condition is obtained.

在非结构网格上构造格心显式格式求解Baldwin-Barth-方程湍流模型，并运用Von Neumann稳定性分析方法，给出〓格式稳定性条件。

During most of the drying stage, the inner temperature of the castock basically remained around 70℃.An exponential decay equation can be used to simulate the dynamic drying process of the high moisture MSW.

在白菜茎整个干燥过程中，其内部的温度基本上维持在70℃左右；指数衰减方程能够较好地体现焚烧炉条件下高水分垃圾的干燥规律。

The far field sound pressure levels of the cylindrical shell and spherical shell excited by an exterior point load are measured, and a good agreement between the theoretical results and the test results shows that the theoretical method and corresponding results in this dissertation are correct.

主要研究内容：(1)建立了考虑流固耦合作用并在流体流动条件下部分充液或者部分浸没圆柱壳体运动方程，应用波数域法和传递矩阵法得到了该类壳体振动响应的径向波数域速度，进而应用平稳相位法得到了该类壳体辐射声场的预估理论模型。

The method of multiple scales was used to solve the Duffing equation, the solutions were used to analyze qualitatively the effect of boundary conditions, ratio of damp, external excitation, and ratio of inner radius to outer radius on the second-harmonic resonance of an annular thin plate.

用多尺度方法求此振动控制方程的3次超谐共振解和1/3亚谐共振解，并且定性地探讨边界条件、内外半径比、激振力和阻尼对环形薄圆板在这两种次谐共振下的动态响应。

Otherwise, We gavethe factorization method and the characteristic value method for solving thenonlinear operator equations, when the uniqueness of the solution is not satisfied.

当唯一解的条件不满足情况时，给出了方程求解的因式分解法和特征值法。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新