查询词典 dependent equations

In this work, the equations describing circular Gaussian beams propagating inside absorptive Keer medium have been derived from nonlinear paraxial equation. Based on the equations, an evolution equation of beam waist lias been obtained.

本文从非线性近轴波方程出发，导出了在吸收克尔介质中具有二次位相因子的圆对称高斯光束的传输方程，得到了光束束腰的演化方程。

Content: By learning this course, students should grasp the elementary solution of first order differential equation, the structure theory of linear differential equation or system of linear differential equations and the solution of constant coefficient differential equation or system of constant coefficient differential equations.

主要内容：通过对本课程学习，使学生掌握一阶微分方程的初等解法、线性微分方程的结构理论和常系数方程的解法，对微分方程初值问题的一些基础理论有一定的了解，对

The principle of method,experimental conditions,regression equations and linear equations are discussed.

讨论了方法原理、实验条件，建立了回归方程和线性方程组。

The proposed scheme is developed using the local coordinate system based PML splitting equations and integral approaches of the PML equations under a discretization of triangular grid cells.

本方法的核心是建立局部坐标系下的分裂方程和基于积分近似的微分方程弱形式。

The equations of electromagnetic field are invariant with respect to the Lorentz transformation and the mechanical equations are invariant with respect to the classical transformation.

电磁场方程对于洛伦兹转换是不变的，而力学方程对于经典转换是不变的。

The observational equations have been derived using the three methods above which are based on high-low SST and low-low SST observational data respectively, at the same time, the shortages and merits of these three methods are analyzed. 3The problem of gravity field recovery can be attributed to the solution of over determined system of equations.

本文分别以高低卫卫跟踪和低低卫卫跟踪观测数据为基础，导出了基于上述三种方法的观测方程，并分析了它们的优缺点。3重力场恢复最终归结为超定线性方程组的求解问题。

In the low-low satellite to satellite gravity mission, the intersatellite range and range-rate data are the observable values, while the intersatellite acceleration can be derived from the range-rate through digital differential. Using acceleration data, people can avoid solving the variation equations of the satellite motion and simplify the observation equations. But on the other side, the digital differential will amplify the observation noises and finally affect the solved geopotential accuracy.

低低卫星跟踪卫星的观测量是两低轨卫星的星间距离或星间速度，星间加速度由星间速度通过数值微分导出，用星间加速度作为观测量可以避免解算卫星运动的变分方程，简化观测方程的建立，但数值微分会使观测噪声放大，从而影响重力位的解算精度。

One simple fluid model, magnetohydrodynamics , treats the plasma as a single fluid governed by a combination of Maxwell's equations and the Navier Stokes equations .

一个简单的流体模型，磁流体，把血浆作为一个单一的流体管理相结合的麦克斯韦方程组和 N - S方程。

In order to get the stress analytic solution, the stress equations are deduced with conformal mapping method and residue theorem, the defaults of equations in the reference are corrected. This method overthrows the obstacle in the engineering stress calculation for the flat receptacle with conformal mapping.

为了建立有实际意义的扁挤压筒应力解析解，本文结合单连体复变函数保角映射法和留数定理推导出受内压力作用的扁挤压筒的应力求解公式，更正了国外文献中相应公式的错误，开发了受内压扁挤压筒的应力计算程序，实现了应力计算的程序化。

Schrodinger equations are important equations in the mathematical physics,they de-scribe many phenomena of p...

〓方程是数学物理中的一类非常重要的方程，它解释很多物理现象。

We stopped by the old fashion ice cream parlor Manhattan Beach Creamery for some refreshment. The "No Shoes, No Shirt, No Problem" sign on the wall epitomizes the beach lifestyle.

我们去商店区的一家老式冰淇淋店坐坐，墙上挂著「没鞋，没上衣，没问题」的牌子完全捕捉了海滩生活的随性及风格。

"If therefore", argues Bellarmine we can offer our prayers and our satisfactions in behalf of those detained in purgatory, because we are members of the great body of Christ, why may not the Vicar of Christ apply to the same souls the superabundant satisfaction of Christ and his saints--of which he is the dispenser?

" "因此，如果"，认为贝拉明（德indulgentiis ，十四）"我们可以提供我们的祈祷和我们满意的代表那些被拘留在炼狱，因为我们是成员的伟大基督的奥体，为什麼可能不是牧师基督适用於同样的灵魂满意的过剩是耶稣和他的圣人-他是在配药？