查询词典 conditional equation

First the three-dimensional Hailmuhz equation of magnetotelluric field is split into two 2D equations which could be changed into 1D equation by Fourier transformation method. The two zootomic coefficients of the equation are found out by the derivation of vertical component of electromagnetic field being sufficient the equation and the boundary condition. The resolution of 1D equation can be confirmed.

首先将大地电磁场满足的三维亥姆霍兹方程降维分裂成两个二维响应方程，然后对每一个二维方程进行傅里叶变换，使二维方程变为一维方程，通过大地电磁场垂向方向的导数在地面上所满足的边界条件，确定外推方程中的两个待定系数，从而得到一维外推方程的解。

Then the stationary joint probability density, the conditional reliability function, the mean first-passage time of the optimally controlled system are obtained from solving the reduced FPK equation, the backward Kolmogorov equation and the Pontryagin equation, respectively of fully averaged systems.

求解与之相应的Fokker-Planck-Kolmogorov方程得最优控制系统的联合概率密度，进而求得最优控制系统的平均幅值；求解与之相应的后向Kolmogorov方程得最优控制系统的条件可靠性函数，进而求得首次穿越时间的条件概率密度；求解与之相应的Pontryagin方程得最优控制系统的平均首次穿越时间。

Then the FPK equation governing the joint probability density of amplitude and phase, the backward Kolmogorov equation governing the conditional reliability function, and the Pontryagin equation governing the mean first passage time are established, respectively.

随机微分方程。在此基础上，建立联合概率密度满足的Fokker-Planck-Kolmogorov方程、条件可靠性函数满足的后向Kolmogorov方程以及平均首次穿越时间满足的Pontryagin方程，分别求解这些方程得到联合概率密度、条件可靠性函数以及平均首次穿越时间。

It is shown that including current trading volume in the conditional variance equation of EGARCH model dramatically reduces the persistence of the conditional variance, meaning that the current trading volume is a good proxy variab...

在EGARCH模型条件方差方程中加入当前交易量可以显著降低条件方差波动的持续性，表明当前交易量可以代表引起收益率 ARCH效应的新信息。

The paper aimed at resolving the question of side value of Laplace equation and Poisson equation in plane angular domain by using integral equation of the solution of mathematic physics equation.

旨在利用数学物理方程解的积分公式，去解决平面角形区域内Laplace方程和Poisson方程的边值问题，而其关键在于构造相应域内的格林函数。

Chapter 9: We report a large quantity of numerical experiments of 13 different algebraic multigrid algorithms for solving the Poisson equation, anisotropic equation, equation with cross-derivative terms, general matrix problems with large off-diagonal positive entries, biharmonic equation, Toeplity matrix, elasticity systems, finite element discretization of the Laplacian and even 3D problems. Particular attention is focused on asymptotic convergence factors and CPU-time consumed. Numerical results for many different types of practical problems demonstrate the efficiency and robustness of the proposed algebraic multigrid methods.

第九章：在各种代数多重网格算法的基础上，进行了大量的数值试验，具体给出了十三种不同的代数多重网格方法求解泊松方程，各向异性方程，带混合导数项的方程，带有大的非对角正元素的一般矩阵问题，重调和方程，托普利兹矩阵，弹性力学方程组，拉普拉斯算子的有限元离散，甚至三维问题的较为丰富的数值结果，重点关注它们的渐近收敛因子和所需的CPU时间，来源于不同类型问题的计算结果既为代数多重网格理论分析和算法的改进提供了很实用的资料，同时也证实了本文给出的代数多重网格算法的效绩和稳健性。

This model consists mainly of four kinds of simple line equations such as water level equation,velocity equation,auxiliary equation and initial equation.

该模型主要由水位方程、速率方程、辅助方程和初值方程这4种方程组成，它们都是一些简单的线性方程。

The paper draws linear unusual differential equation a_0y~(n+a_1y~(n-1+…+a_(n-1)y′+α_ny=∑mi=0k_iδ~(i from the practical problems in the engineering field of electronic technology,circuit analysis,mechanics of materials,mechanical design and civil architecture,discusses the dependence of the solution of the equation on that of homogeneous,gives the algorithm of the equation,and draws the general algorithm of semi-odd number rank unusual Bessel differential equation.

在电子技术、电路分析、材料力学、机械设计和土木建筑等工程技术领域中，常会遇到一类非齐次项为奇异函数的广义线性微分方程，本文给出这类奇异微分方程的解对齐次解的依赖性，从而得出这类奇异微分方程的解法，求出了半奇数阶奇异Bessel微分方程的通解。如下列应用问题中的微分方

In this paper, some especial higher power equation be enumerated, just like Binomial equation or Reciprocal equation, for people can't fine common extract roots formula about five and above power equation.

摘要基于五次或五次以上方程没有一般通用的求根公式，本文列举了一些特殊的高次方程的解法。你知道它的英文吗？

In this paper, some especial higher power equation be enumerated, just like Binomial equation or Reciprocal equation , for people cannot fine common extract roots formula about five and above power equation .

摘要基于五次或五次以上方程没有一般通用的求根公式，本文列举了一些特殊的高次方程的解法。

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。