条件方程

Based on the regression equation between influencing factors and response value,the optimum fermentation c...

根据影响因素与响应值之间的回归方程得最佳发酵条件。

Applying the triangular element to the stationary Stokes equation, we obtain error analysis and optimal convergent order of approximation solution.

对于各向异性三角形元和各向异性四面体元，我们分别讨论了它们的各向异性插值，将它们应用于定常Stokes方程，我们研究了有限元空间不满足散度条件的各向异性非协调有限元解法，同样得到了逼近解的误差分析和最优收敛阶。

Paraxial approximation absorption boundary condition based on acoustic wave equation can obtain better absorption results by increasing paraxial approximation order of Taylor series. However, this kind of operation will increase the complexity of difference computation, and result in instability of computation process.

基于声波波动方程的旁轴近似吸收边界条件可以通过提高泰勒级数展开的旁轴近似阶数获得更好的吸收效果，但这样不仅增加了差分计算的复杂性，同时还导致计算过程不稳定。

Basing on the equivalent Maxwell's equations, the dissertation presented derivation of quasi-perfectly matched layers absorbing boundary conditions in general orthogonal coordinates.

本文从等效的Maxwell方程近似推导了广义正交坐标系的准完善匹配层吸收边界条件。

In this paper, a general, strain-consistent, third-order displacement field of shells is proposed. On this basis, the nonlinear theory of composite laminated shells including third-order transverse shear deformation and rotary inertia is developed. Hamilton's variational principle is used to derive the nonlinear static and dynamic governing differential equations and the corresponding boundary conditions of composite laminated anisotropic general shells under the orthogonal curvilinear coordinates. And the form of spherical shells is degenerated.

本文提出了一种最普遍的应变协调、三阶壳体位移场，在此基础上建立了考虑三阶横向剪切变形和旋转惯性的复合材料层合壳体非线性理论，用Hamilton变分原理导出了复合材料层合各向异性任意壳体在正交曲线坐标系下的非线性静、动力控制微分方程和相应的边界条件，并将其蜕化为球壳形式。

The orthogonal expansion of the solution of the rotating disk motion equation is analyzed, and the stability of the system that includes the controller and the dynamics of sensor and actuator are analyzed.

本文通过对旋转圆盘运动方程解的正交级数展开的分析，由此在考虑控制器、作动器和传感器的动态特性情况下，分析了旋转圆盘振动主动控制系统的稳定性，指出了系统失稳的条件。

The computer simulations show the validity of the new method. The orthogonal expansion of the solution of the rotating disk motion equation is analyzed, and the stability of the system that includes the controller and the dynamics of sensor and actuator are analyzed.

本文通过对旋转圆盘运动方程解的正交级数展开的分析，由此在考虑控制器﹑作动器和传感器的动态特性情况下，分析了旋转圆盘振动主动控制系统的稳定性，指出了系统失稳的条件。

Summary In this paper, a brief history review of works on the theory of electromagnetic flowmeters is given. A method named'Alternative iteraction method for approaching real boundaries'is presented to solve Laplace's equation with mixed boundary conditions in electromagnetic flowmeters. The orthogonal expansion is used to analyze weight vectors and flow distribition effects on the sensitivity of the flowmeters.

本文在总结和分析了前人在电磁流量计变送器方面的理论研究成果后，首次提出了"交替迭代逼近边界"的方法求解电磁流量计理论研究中遇到的Laplace方程的混合边界条件问题；采用正交函数展开的方法研究权函数以及被测流体速度分布不规则对仪表输出的影响；采用保角变换的方法首次求解出电磁流量计偏心环域上的权函数。

The numerical techniques developed here, including the high accuracy method of using expansions in orthogonal functions in normal direction and the effective algebraic mapping to deal with the problem of infinite region, can raise the calculation precision and the convergence velocity greatly.

文中所发展的方法，如，在法向上采用高精度的高阶谱方法和对无限区域数值问题的更为有效的代数变换处理等，提高了计算精度和收敛速度；同时，通过预估校正迭代法，使抛物化稳定性方程中重要的正规化条件得到满足，保证了数值计算的稳定。

Based on the wave equations established in general coordinate system for orthorhombic anisotropy media, this paper di...

在建立一般观测坐标系下正交各向异性介质波动方程的基础上，着重讨论了相应的伪谱法波场数值计算的稳定性条件，进而用伪谱法实现了正交各向异性介质弹性波场的正演模拟，获得了很好的模拟效果

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。