查询词典 structure equations

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。

In this paper, we deal with the existence of periodic solutions of sublinear Liénard differential equations and Duffing differential equations with singularity.

本文研究次线性Liénard方程和具有奇异性Duffing方程周期解的存在性。

The equations of dynamics for the balance are established by Kane's method, from which derives the characteristic equation of natural frequency by means of linearization of dynamic equations, and the six natural frequencies being developed according to the theory of vibration. The law of the six natural frequencies varying with mass of the upper platform and the stiffness of the elastic element are presented,and the Finite Element Method is employed to testify the validity of theoretical results.

基于 Kane 方法研究天平的动力学及模态，通过线性化动力学方程建立天平的固有频率方程，依据振动理论推导出并联天平的六阶固有频率及其对应的振型，同时研究了天平的六阶固有频率随敏感单元刚度系数及上平台质量的变化规律，并用有限元法验证理论计算结果的正确性。

The first kind is 0-equation model. It only includes mass and momentum conservation equations. Great progresses have been made in improving this model. It has successfully been applied to many natural rivers with complicated boundary geometry. The second kind is κ-ε model. The κ equation and ε equation are needed, besides mass and momentum conservation equations. Many researchers have studied the depth-averaged mathematical models of turbulence in recent years. However, the models were used mostly in regular artificial canals or natural water areas with simple boundaries.

对于宽浅型河流，采用深度平均法进行流场计算时，用得较多的有两类模型：一类是不增加任何脉动量的偏微分方程的模型，这类模型已在适体坐标下运用得较多且较成功；另一类是κ-ε二方程模型，它是近几十年来广泛应用的一类湍流模型，并发展了许多具体的形式，但大多数只对顺直河道进行了研究，对弯曲较大的河道研究不多，本文运用适体坐标，采用正交交错网格及非正交交错网格，把此模型运用到了弯曲较大的河段及具有汇流的河段，取得了较大的成功。

Aim at the shortage of vertically additive method by which we can't discuss forced oscillations of systems of partial functional differential equations,we directly use the oscillatory definition,Green's formula and boundary condition of homogeneous Neumann to change the oscillatory problem of solutions to a class of systems of quasilinear parabolic equations of neutral type into the problem of which functional differential inequality haven't eventually positive solution.

针对垂直相加法无法讨论泛函偏微分方程组的强迫振动性的不足，直接利用振动的定义、Green公式以及齐次Neumann边界条件把中立型抛物微分方程组的振动问题转化为泛函微分不等式不存在最终正解的问题，然后利用最终正解的定义及上下极限得到了在齐次Neumann边界条件下判别其所有解振动或全振动的充分条件。

The difference equations and the perfectly matched layer absorbing boundary condition equations in the non-inertial frame are given.

将时域有限差分方法用于非惯性坐标系下光子晶体理论研究，给出了非惯性坐标系下的差分方程和理想匹配层边界条件。

You'll be in trouble it you don't watch out .

如果你不注意，你会有麻烦的。

Shaped like a biconvex lens.Of, relating to, or having the form of a hyperbola.

双曲线的属于双曲线的，与之有关的，或有双曲线形状的