查询词典 dependent equations

In the second part, we study the solution of some matrix equations in field theory and module theory,i.e., it is determined whether matrix equations have solutions in a field.

第二部分我们是通过代数的域论和模论来研究矩阵方程的解的问题，即判断一个矩阵方程在在域上是否有解。

The theory of maximal monotone operator is one of the most importance successes in the area of nonlinear analysis. It provides a powerful general framework for the study of nonlinear partial differential equations, nonlinear integral equations, control theory, optimization. Practically, it has be applied abroad in physics, economics and engineering.

极大单调算子理论是非线性分析领域的有效工具之一，已被广泛应用于非线性偏微分方程、非线性积分方程、控制论、最优化理论等学科，在物理学、经济学、工程学等应用学科也有着广泛的应用。

By means of the qualitative theory and method of delay differential equations, the weak conditions for the bound-edness of the system are obtained. By use of differential mean value theorem and computational techniques on delay differential equations, we show that the system is globally asymptotically stable under condition for the boundedness.

用时滞泛函微分方程的定性理论得到了系统有界的较弱的条件，并运用微分中值定理及有关时滞微分方程的计算技巧，我们获得了在系统有界这样弱的条件下就能保证系统全局渐近稳定的结论。

The fix point of solutions and the derivatives of solutions of comples meromorphic function coefficents higher order of comples homogeneous linear differenliad equations are studied,and get two results of fixed point of homogeneous higher order linear differenliad equations with Meromorphic Function Coefficents,the results obtained generalize the related results of some authors.

研究了复域线性微分方程的解及其解的导数的不动点与超级问题，得到了亚纯函数系数的齐次线性微分方程的解及其解的导数的不动点的一个结果，所得结果推广了一些相关结果。

Singular integral equations with complex translations on smooth closed curve are discussed if equations satisfy regularity condition. And the solutions are obtained by the method of regularization.

在正则型的假设下，讨论了封闭曲线带复平移的奇异积分方程，并利用正则化方法得到方程解的表达式，所得结论补充了带平移的奇异积分方程的理论。

The second chapter discussed the definition and nature of dashes inverse A in generalized inverse as well as its application in compatible linear equations. The third chapter discussed the definition and calculation of the minimum norm inverse A in generalized inverse, as well as the Minimal Norm Solution of its compatible linear equations Ax = b.

前言从引进广义逆矩阵的定义着手，介绍了它的历史概况以及发展的背景及其意义；第1章从广义逆的发展历程讨论由Moore-Penrose方程确定的各种广义逆的定义；第2章讨论广义逆中的减号逆A 的定义及性质以及在相容线性方程组的应用；第3章讨论广义逆中的最小范数逆A 的定义及计算以及它与相容线性方程组Ax=b的极小范数解。

The basic equations of centrifugal pump on steady and unsteady process were educed based on theory of momentum and moment in order to analyze the transient hydrodynamic performance of centrifugal pump. The equations were used to describe the influence of accelerating rotation of impeller and accelerating motion of fluid on hydrodynamic performance.

为了对离心泵快速开启过程的瞬态效应进行分析，根据动量矩定理分别推导转速稳定和不稳定时的离心式水泵基本方程式，给出了叶轮旋转加速和流体加速对性能影响的数学描述方程，为进一步理论分析和数值计算打下基础，并结合一台快速启动的混流泵进行实例分析。

In both the cases we provide necessary conditions for any linear multistep method applied to delay differential equations and neutral delay differential equations to be τ(0)-stable and Nτ(0)-stable respectively.

针对这两种情况，分别给出了线性多步方法关于延迟微分方程τ（0）-稳定及中立型延迟微分方程Nτ（0）-稳定的必要条件。

Duffing equations and Liénard equations are two classical mathematical models in nonlinear oscillations, and have been studied ex...

Duffing方程和Liénard方程是非线性振动中的两类经典的方程，也是人们研究的最多、结果非常丰富的方程。

Duffing equations and Liénard equations are two classical mathematical models in nonlinear oscillations, and have been studied extensively.

Duffing方程和Liénard方程是非线性振动中的两类经典的方程，也是人们研究的最多、结果非常丰富的方程。

Yet, Edith says, there was always money in the bank.

但是Edith说，她的银行户口里面总是有钱。

We have created a series of files that resolve this problem--one for each day of the 40 days of purpose.

我们制作一系列的档案去解决这问题---一个为标竿40天中的每一天。