查询词典 dimensional equation

The equation of lattice vibration of one-dimensional monatomic lattice and the equation of longitudinal vibration of a uniform bar are discussed.

一维单原子链晶格振动与均匀杆自由纵振动的运动方程在数学上存在内在的联系。

Then we get atwo-dimensional wave equation. By numerical simulation of the wave equation using

再利用差分方法对这个波动方程进行数值模拟，得到史瓦西小黑洞的电磁场拟正则模，并对其特性及相应的物理意义进行了深入的分析和研究。

Carleman不等式及其在最优控制问题中的应用.Optimal control theory of distributed parameter systems mainly includes: Pontryagin's maximum principle; controllability; Hamilton-Jacobi equation (i.e., dynamic programming equation); time optimal control, etc.In this dissertation, we establish Pontryagin's maximum principle of optimal control problems governed by some nonlinear differential equations (parabolic differential equations, elliptic differential equations and 3-dimensional Navier-Stokes equations), which in particular could have local solut...

在这篇博士论文中，我们建立了非线性微分方程(包括抛物型微分方程，椭圆型微分方程以及3维Navier-Stokes方程)最优控制问题的庞特里雅金最大值原理，特别地，这些方程可能只有局部解或存在多解(我们称这样的系统为非适定系统，相应的最优控制问题为非适定最优控制问题)，以及适定的非线性发展方程最优控制问题的庞特里雅金最大值原理；我们研究了phase-field系统的时间最优控制问题以及Boussinesq系统的局部内可控性。

Since the governing equations for atmosphere movement can be reduced to a convective equation, so, to verify the validity of SFEBS, the propagation of one dimensional wave packet and shock governed by convective equation are simulated and compared with the boundary scheme that is based on the idea of Taylor series expansion.

因为大气运动的控制方程简化后可以归结为一个对流方程，所以作为边界格式之间的比较和检验，在一维情况下用对流方程和数值模拟中具有代表性的波包和激波作为算例，将其与传统的基于Taylor展开思想构造的边界条件进行了比较。

The growth relationship between spectrum parameter and fetch were studied, from which three parameters and overshot phenomenon that appears during wind wave spectra developing were tested, and an equation describing the growth of three-parameter spectra with wind wave was obtained With the equation, the spectra of wind waves were obtained at zero-dimensional fetches of 300, 500, 2000, 5500, 10000, and 15000, and the overshot was described more clearly. However, the overshot does not exist in the whole process of wind wave spectrum development as stated previously by Hasselmann, but in the early stage of the development only, extenuates with wave growth and then disappears when the wave fully grows.

基于已得到的谱参量随风区的变化关系，对三参量风浪频谱以及风浪频谱成长过程中存在的&超射&现象作深入的研究，得到三参量风浪频谱随风区的成长关系：在此基础上，得到无因次风区：300、500、2000、5500、10000、15000下，风浪频谱的谱线，从而直观地描述了风浪频谱成长过程中的&超射&现象，并认为在风浪频谱的成长过程中确实存在着&超射&现象，但是该现象并不如Hasselmann等提出的理论中阐述的那样存在于风浪频谱成长的全过程，而是仅存在于风浪频谱成长的初期。

Based on an unstructured grid, finite-volume coastal ocean model, the complete three-dimensional fine-solution equation group of shallow-sea tide is adopted to calculate the tide in Qinzhou Bay. The equation group consists of tide-control equations and obturating turbulence equations.

基于采用不规则三角网格和有限体积方法的FVCOM模式，建立钦州湾三维潮流数值模型来重现钦州湾的潮位和潮流变化状况。

We deduce the basic differential equation of light spreading in photonic crystal and the theory of one dimensional optical transfer matrix from the Maxwell's equation in chapter Ⅱ.

第二章从麦克斯韦方程出发，推导了光在光子晶体中传播的基本微分方程和一维光学传输矩阵理论。

We addressed the solutions of the collision-less plasma Vlasov-Poisson system, involving Vlasov equation coupled with Poison equation, in quasi-neutral limit. The two asymptotic-preserving particle-in-cell methods were developed and applied to a model of one-dimensional, periodic perturbation plasma.

针对准中性无碰撞等离子体的Vlasov方程及与其相耦合的求解电势的Poisson方程所组成的Vlasov-Poisson系统，提出了两种渐近保持PIC算法，并将其运用到一维周期性波动等离子体模型上。

In order to widen the scope of application of the equation, a thermodynamical enthalpy potential equation of the LHSS equation was derived according to the thermodynamical relation of universality of the enthalpy, and it has been used for calculating the process of adiabatic throttle.

为拓宽该方程的适用范围，文章从热焓的普适性热动力学关系出发，推导了该方程的热力学焓差方程式，并把它应用于绝热节流计算过程。

Because of error by dispersing albinism differential equation, the response of difference equation is changed relative to differential equation.

由于离散化引入了误差导致白化微分方程和差分方程的响应发生了变化。

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？