查询词典 conditional equation

Moreover, existence of analytic solutions for a linear iterative equation with variable coefficients is given by reducing to an auxiliary equation and using Schauders fixed point theorem.

此外，、本章还使用Sehauder不动点定理，通过建立辅助方程，研究了变系数的线性型迭代方程解析解的存在性。

Firstly, using strategy of introducing associated auxiliary equation to a givenpartial differential equation without admitting Lagrangian, we make the extendedequations possess a variational principle. Based on this, the concepts of extendedconservation law and extended symmetry to given partial differential equationare put forwarded.

首先，我们给出了引入伴随方程扩充原方程的策略，使给定偏微分方程的扩充方程组具有对应泛函，即称为Lagrange系统的方法，以此为基础提出了作为偏微分方程传统守恒律和对称概念的一种推广—偏微分方程扩充对称和扩充守恒律的概念；其次，先给出以得到的Lagrange系统为基础，利用N？

Rational Difference Equation; Global Attractively; Global Asymptotical Stability; Subsequence; Auxiliary equation

基础科学，数学，数学分析有理差分方程；全局吸引性；全局渐近稳定性；半环；辅助方程

Although the Preissman scheme of KP equation is multisymplectic, it took too efforts to realize, Hence we elimate the auxiliary variable by a trivial computation and obtained the multisymplectic forty-five points scheme of KP equation. And then, we test this forty-five points scheme on soliton and solitary waves over long time intervals, the numerical results shows the propagation and interact of soliton and solitary waves.

但是在实际的数值实验中，由于需要计算共轭动量的值，Preissman格式需要占用的计算内存比较大，计算时间比较长，因此我们在数值格式中消去共轭动量，最后得到与多辛Preissman格式等价的一个多辛45点格式，我们用这个格式进行了数值实验，数值实验结果很好地显示了孤立子和孤立波的传播与碰撞。

Firstly, based on natural gradient and nonlinear principal component analysis, a matrix equation is obtained by block recursive updating,and then the matrix equation is solved using QR factorization and back substitution to obtain the optimal separating matrix.

此外，结合自然梯度和非线性主分量分析提出了一种块递归的盲源分离方法，构造出按块递归更新的矩阵方程，然后用QR分解和回代法求解该矩阵方程得到最优分离矩阵。

Firstly, based on natural gradient and nonlinear principle component analysis, a matrix equation is obtained by block recursive updating, and then the matrix equation is solved by using QR factorization and back substitution to obtain the optimal separating matrix.

首先基于自然梯度和非线性主分量分析，构造出按块递归更新的矩阵方程，然后用QR分解和回代法逐块求解该矩阵方程得到最优分离矩阵。

In part 2, we study the properties of the solution z of backward stochastic differential equation and backward doubly stochastic differential equation.

第二部分分别研究了倒向随机微分方程和倒向重随机微分方程中解z的性质。

Huang and Lin proposed the weak solution concept for Backward Stochastic Differential Equation This paper based on the predecessor's work , gives the weak solution concept for Backward Stochastic Differential Equation with continuous martingale,uses the Girsanov transformation, obtains its weak solution of the existence of a necessary and sufficient conditions, and on this basis obtains its weak solution of the existence of sufficient conditions,these sufficient conditions weakened the drifting coefficient which requested in the existence uniqueness of strong solution to satisfy the Lipschitz condition the request.

本文在前人研究的基础上，给出由连续鞅驱动的倒向随机微分方程弱解的概念，利用Girsanov变换，得到其弱解存在的存在的一个充分必要条件，并在此基础上得到了其弱解存在的一些充分条件，这些充分条件减弱了在强解的存在唯一性中要求的漂移系数满足Lipschitz条件的要求。

Mathematical derivation and classical application of continuity equation and Bernoulli equation are given in flow measurement.

文章介绍了流体力学理论如何和流量计量结合，给出连续性方程和伯努利方程在流量上的推导和经典的应用。

Control equation, boundary condition and Bernoulli equation are derived in blade-attached system.

在匹配渐近展开法分析中引入一假想速度位，导出固连坐标系中的控制方程、边界条件和Bernoulli方程。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。