查询词典 derived equation

In the algorithm, the conditional linear state equation is first inserted into the measurement equation, which fuses the linear state process noise and the original measurement noise, whereafter the GHF is used to estimate the nonlinear states. Then the estimated means of the nonlinear states are inserted into the linear state equation and the original measurement equation to estimate the linear states by the KF. Moreover, in order to improve the accuracy of the estimates, the estimated variances of the nonlinear states are fed back to modify the estimations of the linear states using the KF.

算法将模型中的条件线性状态方程代入观测方程，并融合线性状态的过程噪声和观测噪声，由GHF获得非线性状态的估计；再将非线性状态的估计均值代入线性状态方程与观测方程，由KF获得线性状态的估计；获得的非线性状态估计方差还用于修正由KF估计的线性状态，以提高精度。

In the Gaussian sum filter-Kalman filter algorithm, the conditional linear state equation is first inserted into the measurement equation, which fuses the linear State process noise and the original measurement noise. And the GSF is applied to the new measurement and nonlinear state equations to estimate the nonlinear states. Then the estimations of the nonlinear states are inserted into the linear state equation and the original measurement equation to estimate the linear states by the KF.

算法将模型中的条件线性状态方程代入观测方程，并融合线性状态的过程噪声和观测噪声，再与非线性状态方程联立，由高斯和滤波器(Gaussian sum filter， GSF)获得非线性状态的估计；然后将估计值代入线性状态方程与观测方程，由卡尔受滤波器(Kalman Filter， KF)获得线性状态的估计。

The governing equations include the continuity equation, the momentum equation, the energy equation and the humidity conservation equation.

控制方程包括连续方程、动量方程、能量方程和水气守恒方程。

But it is a hard task to solve this equation, one reason is that the TV-norm is nondifferentiable when |▽_u|= 0, so we cant apply a linearizationtechnique such as the Newton method. The other reason is that the Euler-Lagrange equation has a highly nonlinear term. The Newton method for such equation is known to have a very small domain of convergence, and it is very difficult to make sure that the initial value such as the observed image belongs to this domain. So the Newton method is not an ideal method for solving this equation.

但是求解它比较困难，主要是因为TV-范数在|▽u|=0处不可微，不能用诸如牛顿法之类的方法将其线性化；且Euler-Lagrange方程含有一个高度非线性的项，牛顿法只有局部收敛性，对于高度非线性问题它的收敛域很小，因此难以保证所取的初始点在它的收敛域内，故一般不用牛顿法直接求解。

The relation between difference equation and differential equation is studied by analyzing the mechanism in building grey models, and a "bridge" is set up between difference equation and differential equation by sampling theorem and state transition matrix.

通过对灰色系统模型建模机理进行深入剖析，利用采样定理和状态转移矩阵在差分方程和微分方程之间架起一座桥梁，通过算例仿真实验证明了该算法的有效性。

In the numericalstudy, three-dimensional elastodynamics equations and Morison equation are applied tosimulate the time histories of dynamic response of submarine pipelines suspended over flatbeds sucessfully. The three-dimensional interaction of pipeline and internal flow isnumerically simulated by applying the iterative computation to the fluid-structure interfacesand using the elastodynamic equation and the incompressible fluid N-S equation andcontinuity equation.

在数值研究方面，本文利用三维弹性动力学方程，结合莫里森方程，较好地模拟了规则波浪作用下近壁悬跨弹性海底管线动力响应过程，结合不可压缩流体N-S方程和连续方程，进行管线及其内部流体的三维流固耦合数值计算，基于数值计算结果探讨内流管线系统的动力特性和管内流体特征。

The model mainly includes: the continuity equation of the fracturing fluid flowing in the fracture, pressure drop equation, fracture width equation and height equation.

该模型主要包括：压裂液在缝中流动的连续性方程、压降方程、裂缝宽度方程和及高度方程。

Studying from dynamic hydraulics, in consideration of the friction impact, differential equation of motion and equation of continuity have been established, from which transient velocity equation and pressure fluctuation equation describing viscous fluid micro-vibration inside of a string have been deduced out.

从动态水力学的角度出发，建立了考虑摩擦力影响的流体运动微分方程和连续性方程，得到了具有粘滞性流体在管柱内微振动时的瞬态速度和压力波动方程。

The traffic momentum differential equation and Euler's equation for the ramp junction is founded by means of differential calculus in this paper,the traffic momentum differential coupled equation is solved by characteristic curve method,two groups of characteristic curves and corresponding related equation in high speedstates and low speedstates are presented.

采用特征线法对运动微分方程组进行分析求解，在高速低密度区和低速高密度区分别得到了两组特征线和对应的特征关系式。

This dissertation is devoted to a very important equation system among differential equation systems------quasi-linear equation system, as is a important topic of equation system(especially when discussed shock wave solution), Often appear in such research fields as Hydrokinetics, the semiconductor establishes in physical theory ,Chemical reaction theory , project, Biology , Communication and Ecology etc.

中文摘要：本论文主要研究了微分方程中的一类很重要的方程组——拟线性方程组，它是微分方程的一个重要的课题，常常出现在流体动力学、半导体设置的物理理论、化学反应理论、工程、生物、通信和生态等研究领域中。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。