查询词典 conditional equation

In the fourth chapter, we build the model of coefficient on one dimension partial differential equation and adopt finite element method to discrete partial differential equation and in the fifth chapter, we employ GP to identify and build the model of right-side function and adopt over-relaxation or alternating direction implicit method to solute difference equation.

在求解这些偏微分方程连续系数反演或右端连一一一~武卫1里鱼立二大一至」夔里匕崖匕位止透二立一一一一续函数的适应值评价中，我们都采用H'一范数正则化来解决连续参数的识别问题。

The bilinear form of BBM equation has known, so we can similiarly get the bilinear form of associated DGH equation, then we can get the bilinear form of DGH equation and 1-soliton by a approciate method.

BBM方程的双线性已知，通过恰当的设法可以类似得到关联DGH方程的双线性形式，即得到了DGH方程的双线性形式，并由此得到了DGH方程的1—孤子解。

This paper, considers conservative equation with periodic boundary value problem, and construct a difference scheme, Uses the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, proves that the scheme converges uniformly to the solution of differential equation with order one.

研究守恒型奇振动方程的周期边界问题，构造一个差分格式，利用分解解的奇性项的方法，结合问题的渐近展开，证明所构造的差分格式为一阶一致收敛。

It is a global convergence method, so it can avoid the drawback of the Newton method. The main idea is to perturb the TV-norm functional term of the Euler-Lagrange equation so large that it can be solved by the Newton method when the observed image is an initial value, and we regard this equation as an auxiliary equation.

它的主要思想是将Euler-Lagrange方程中TV-范数做一个足够大的扰动，得到一个能用以观测图像z为初值的牛顿法求解的辅助方程，通过构造同伦方程将辅助方程和Euler-Lagrange方程联系起来。

By using the solutions of a new auxiliary elliptic equation,a direct algebraic method is proposed to construct the exact solutions of some nonlinear evolution equations.The main difference between this method and previous auxiliary elliptic equation methods is that the balance order becomes smaller after using the new auxiliary elliptic equation.Therefore,the derived algebraic equations are greatly simplified.

利用一个新的辅助椭圆方程将求解非线性发展方程精确解的问题转化为一个代数方程组进行求解，与已有的辅助椭圆方程法的主要不同是，应用这一新的辅助椭圆方程后降低了平衡次数，减少了所得的代数方程组的个数和方程的项数，从而大大地简化了代数方程组的求解。

Combined KdV equation; Generalized KdV equation; Reduction-order method; Auxiliary differential equation technique; Solitarywave solutions; Periodic solutions; Solitons; Algebraic travelling wave solutions; Physical structures

基础科学，数学，数学分析KdV-mKdV方程；广义KdV方程；降阶法；辅助微分方程；孤波解；周期解；孤子解；代数行波解；物理结构

By means of variable substitution, it is found that the differential equation of motion is a Bessel equation. Based on the equation, responses of elastic displacement, velocity, acceleration of skip and cable tension close to sheave were deduced.

通过变量代换，发现箕斗运动微分方程是可求解的Bessel方程，从而得到了装载过程中箕斗的弹性位移、速度、加速度和天轮处钢丝绳的张力的解析表达式。

ABSTRACT For an infinite soft ferromagnetic elastic crack material, the controlling equation for the plane problem is derived based on the linear theory of Pao and Yeh. Then it is reduced to a biharmonic equation combined with a harmonic equation.

对处于面内磁场中的含穿透裂纹无限大软铁磁弹性体，本文基于Pao和Yeh的磁弹性耦合线性化理论，通过推导，把问题的控制方程表示成一个重调和方程和一个调和方程，而得到问题的复势解。

By transforming the interlace series type linear differential equation with coefficient containing binomial coefficients and arrangement number into the linear differential equation of successive integral,the theory and method for solving this kind of equation are determined.

通过把系数含有二项式系数与排列数的交错级数型线性微分方程化为可逐次积分的线性微分方程，找出了求这类方程通解的方法与理论，把所得定理给出了严格的证明，并通过实例介绍了它的应用。

The binomial deliverability equation can only be used to describe the high velocity non-Darcy filtering flow. For low permeability fracturing gas wells, due to low permeable property and high flow conductivity of the formation, the filtering flow laws of the formation are different from those before fracturing, and binomial deliverability equation can not be used for the flow condition of gas wells, therefore, new equation is needed.

二项式产能方程只能描述高速非达西渗流，对于低渗压裂气井，地层的低渗透性和裂缝的高导流能力使得其渗流规律已经和压裂前大不一样，二项式产能方程已无法描述气井的生产状况，必须建立新的方程。

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。