查询词典 structure equations

Combining Huangkun's equations and the Maxwell equations for electromagnetic field, we obtain the dispersion relations of polaritons with the effect of nonlinear interactions included.

与这支色散关系相对应，在该频率域的入射电磁波的反射系数R＜1而形成一定的透射窗口，这是个有意义的结果。

Then the fundamental equations for plate/shell bi-nonlinear finite element model were set up with layered finite method. the fundamental geometric nonlinearity equations for the unbonded prestressed tendon and double spring element were proposed, and the double spring element was used to simulate the interaction of unbonded prestressed tendon and deviator.

最后，针对配置体外CFRP预应力筋混凝土梁的受力特性，对各规范和规程中的裂缝计算公式进行了相应的修正，建立了适用于配置体外CFRP预应力筋混凝土箱梁和T梁短期和长期裂缝宽度的计算公式。

Based on dynamic equilibrium equations of three-dimensional elasticity, a state equation was established for orthotropic foundation plates using double Fourier series, in which no assumption about stress or displacement modes was made. Analytical solutions and frequency equations of unified formulas were presented for thin and thick laminated foundation plates.

从三维弹性力学动力平衡方程入手，抛弃应力或位移模式的人为假定，利用Fourier双重级数，建立了正交各向异性地基板的状态方程，并分别给出了地基上任意层厚薄板静力问题的统一解析式和动力问题的频率方程。

The dynamical processes of nutrient release were described correctly by Elovich equation S(subscript t=a+blnt, double constant equation InS(subscript t=a+hlnt and parabola diffuse equationS(subscript t=a+bt^0.5 and nutrient release rate could be described by parameter b of all equations.

结果表明，20℃恒温模擬条件下缓释复合肥氮、磷、钾养分缓释性能较佳，3种养分释放的动力学过程可用Elovich方程S=a+blnt、双常数方程InS1=a+blnt和抛物线扩散方程S=a+bt^0.5表征，各方程参数b值均可用於描述缓释复合肥氮、磷、钾养分释放速率。

This paper is devoted to solving linear saddle point problems, Specifically, We consider nonsymmetric systems, written as usual in block form, where the upper left block is an invertible linear operator with positive definite symmetric part. Such saddle point problems arise, for example, in certain finite element and finite difference discretizations of NavierStokes equations, Oseen equations, and mixed finite element discretization of second order convection-diffusion problems.

中文题名求解鞍点问题的迭代方法副题名外文题名论文作者冯丽红导师曹志浩教授学科专业计算数学研究领域\研究方向学位级别博士学位授予单位复旦大学学位授予日期2002 论文页码总数87页关键词鞍点问题迭代方法网格离散线性方程组馆藏号BSLW /2003 /O241 /15 论文针对鞍点问题的求解分析了一些典型的快速算法。

The general forms of the conservation of momentum, t emperature and potential vorticity of coastal ocean are obtained in the xz pla ne for the nonlinear ocean circulation of Boussinesq fluid, and a elliptic type partial differential equations of second order are derived. Solution of the part ial differential equations are obtained under the conditions that the fluid move s along the topography.

在考虑了陆架地形后，在垂直海岸的xz剖面上，对Boussinesq流体的非线性海洋运动方程求得了总动量守恒、温度守恒和位势涡度守恒的普适形式，进而得到流函数所满足的椭圆型二阶偏微分方程，在给定流体沿地形运动的条件下，算出问题的解。

According to the construction constituted and the drive principles, the formation methods of the theoretical tooth shape and the practical tooth profile for hypocycloid and epicycloid are studied, and the right-angle coordinate equations and the complex number vector equations are deduced respectively.

根据摆线钢球行星传动的结构组成原理和啮合传动原理，研究了构成钢球摆线槽端面啮合副的内、外摆线理论齿形和实际齿廓的形成方法，并分别推导出内外摆线理论齿形和实际齿廓的直角坐标方程和复数矢量方程。

The last time when the valves open and close the boundary condition equation and heating systems in the other boundary condition equations, one-dimensional unsteady flow equations of motion and the joint solution of continuity equation, we can find the non-dimensional opening when the valve changes, heating system to calculate changes in surface pressure.

上回阀启闭时的边界条件方程与供热系统中的其它边界条件方程、一维不定常流动的运动方程和连续方程联解，就可以求出当止回阀无量纲开度变化时，供热系统各计算截面压力的变化情况。

In the method, the equation of vorticity is simplified and combined with the definitions of vorticity and divergence , and then restrained by the equation of continuity to set the system of retrieval equations. Three-dimensional wind vector, vorticity and divergence can be got by solving the system of equations. Preliminary test has proved that it is feasible.

该方法从动力学角度出发，将柱坐标中的垂直涡度方程适当简化后，联系涡度散度的定义式，再以大气连续方程作约束，得到一个反演方程组，求解方程组就可得到不同高度层上的三维风场以及涡度、散度，初步检验证明其是可行的。

Finally, to understand and reproduce the results of numerical simulations, we propose a phenomenological noise driven equations describing evolutions of macroscopic variables under the assumption of local energy equipartition and the fluctuation-dissipation theorem. The numerical results of the stochastic equations and those of numerical results from the original Hamiltonian dynamics coincide with each other very well.

最后，为了理解和重现数值模拟的结果，我们通过局域能量均分假设和涨落耗散定理，建立了一个由噪声驱动的宏观变量演化的唯象动力学方程。

If you were not , and OS X just booted normally, have no fear.

如果你没有，和OS X刚刚启动通常，没有恐惧。

I only want to preserve our all .

我只想保存好我们的一切