equivalent equation

We first set up a equivalent variational equation for the initial-boundary value problem of the Cahn-Hilliard equation ( 1),( 2),( 3).

本文首先对cahn一Hiiliard方程之初边值问题（l），（2），（3）建立了与之等价的变分形式.证明了如果。

Generally, it is hard to realize constant velocity control by means of closed-loop control based on motor steady equivalent equation.

一般基于电机稳态等效方程的闭环控制很难实现恒线速运行控制。

While the reaching condition was initialization the equivalent control equation of axial-radial variable structure control and sliding motion equation were given.

在满足滑模存在条件下给出轴向径向变结构等效控制方程及滑模运动微分方程，并作了初步实验探讨。

A-φ method was used for eddy current field analysis, and based on magnetic circuit analysis and Faraday law of electromagnetic induction, coupled field-circuit equation was derived, which was expressed by magnetic vector potential A and the parameters of the equivalent circuit.

采用复矢量磁位-复标量位（A-φ）法计算涡流场，同时基于磁场分析和法拉第电磁感应定律得出了矢量磁位（A）与等效电路参数的耦合方程。

Also the three bending moment equivalent equation of multispan multidiameter beam and its equivalent equation of deflection curve are reasoned out, according to the relationship among deflection of simple beam, relative deflection and rotating angle of the cross area of support base.

其次利用简支梁挠度，相对挠度及支座截面转角的关系，推导并建立阶梯连续梁的三弯矩等效方程及其挠曲线等效方程。

The models include the equation of ion continuity, momentum equation, Poisson equation and equivalent circuit equation, through which the relationship can be determined between insulated substrate surface potential, charge density and sheath thickness.

模型包括离子连续性方程、动量方程和泊松方程，特别是提出了可以自洽地决定绝缘基板表面电势、表面电荷密度和鞘层厚度关系的等效电路方程。

Axis symmetrical radial vibration of a thin annular plate with tapered section plane is studied and the equivalent circuit is derived by using electromechanical analogy method. Based on the circuit, the resonant frequency equation are obtained.

基于机电类比原理，给出了锥形剖面薄圆环形聚能器的轴对称径向振动等效电路，由等效电路得出了其径向共振频率方程。

Figure out the chemical reaction equation of Procaine Hydrochloride with sodium nitrite and the equivalent relationship.

写出亚硝酸钠滴定盐酸普鲁卡因的滴定反应式并计算滴定度?

Assuming no slippage occurred on the interface between pile and soil, an equivalent equation of displacement coordination is obtained to constitute a new method calculating settlement of single pile.

在假定桩土接触面不产生滑移的条件下，确定在桩基础沉降过程中与能量守恒定律等效的位移协调方程，并在此基础上建立了一种新的单桩沉降计算方法。

From plane polar coordinates, drive the equivalent schrodinger equation electronic transport in semicircular quantum wire, compare with one dimensional free electronic motion, see that the equation have a effective potential.

在平面极坐标系下，导出电子在半圆型量子线中运动的等效薛定谔方程，与一维自由电子运动的不同之处，方程中含有一有效势Veff。

A global sliding model variable structure control approach and a sort of hierarchical switching scheme used with equivalent equation are proposed for a class of multi-input systems.

在多输入系统控制中提出了全程滑模变结构控制方案和利用等效滑模方程进行的递阶滑模变结构控制方案。

It proves that the analytical equation is equivalent to the parametric equation under certain condition.

证明了在一定条件下解析方程与参数方程两种形式的等价性.

Chapter 4 studies the linear Schrodinger equations with initial boundary value conditions, we get its equivalent integral equation by taking the Laplace transform with respect to the variable t, then we prove that its solution is Turing computable.

第四章对带有初边界值条件的线性薛定谔方程，通过作关于t的Laplace变换得到等价的积分方程，证明了方程的解算子是图灵可计算的。

Pipe cooling is a common used temperature control measure for concrete dam. Equivalent heat equation conduction is a practical method in which equivalent adiabatic temperature rise is approximately estimated by integral transformation.

水管冷却是混凝土坝施工中普遍采用的温控措施，目前实用的计算方法是等效热传导方程，方程中的等效绝热温升通常是由积分变换法获得的近似解析解。

Taking the axial bearing as an example of switch function, the slide mode obeys the index rule incline to origin. From this, an equivalent control equation can be concluded.

以轴向为例取切换函数，滑动模态按指数律趋向原点，推导出了等效控制方程。

This paper derives the formulae of maximum conditional probability density estimation used for extended control network suitable for one, and sum up composition method of the equivalent normal equation and the coefficient matrix of unknowns.

本文作者从整体平差原理出发，推导了Qx^′2奇异时扩建网的极大条件密度估计公式，总结了等价法方程和参数协因数阵的组成规律。

The Simplified Equivalent Equation for a Spinning Missile with a Pair of Control Surfaces

一字舵旋转弹简化等效方程

Figure out the chemical reaction equation of Quinidine Sulfate perchloric acid and the equivalent relationship.

硫酸奎尼丁的滴定反应式并计算滴定度?

By the theoretic model the calculation formula of magnetic flux was simplified, which combined the equivalent circuit equation with magnetic flux expression.

利用此模型，得出了AMFCG中简易磁通表达式，并将等效电路方程与磁通表示结合起来。

Considered the diffusion of liquid in the cylinder wall, an equivalent constitutive equation of osteon in the longitudinal direction was obtained.

并考虑了液体在筒壁内的扩散，从而得到了骨单元沿轴向的等效本构方程。

The method first analyzes the characteristics of the background noise in the radiation images, and then assumes first-order Gaussian color noise to define the equivalent observation equation.

该方法分析了辐射图像背景噪声的特征，在合理假设其为一阶Gaussian有色噪声的基础上改写了图像的观测方程；

The method of equivalent specific heat was adopted during the discretization of the non-linear equation of conduction.

相变导热方程采用了显热容法进行分析处理。

Equivalent equation of heat conduction in mass concrete considering the effect of pipe cooling

考虑水管冷却效果的混凝土等效热传导方程

Based on the conceptions of equivalent macroscopic permeability and susceptibility, the relation between the magnetic field of sample model and the magnetic field of the non-magnetic building is discovered by using the forward and inverse calculation of magnetostatic integral equation method.

基于等效宏观磁导率和磁化率的概念，利用静磁场积分方程法的正演计算和反演计算技术，找出了试验模块磁场测量值与非磁性建筑物空间整体磁场之间的关系。

The equivalent equation was obtained.

得到了这个方程的等价方程。

Figure out the chemical reaction equation of Quinidine Sulfate with perchloric acid and the equivalent relationship.

写出高氯酸滴定硫酸奎尼丁的滴定反应式并计算滴定度?

The mathematic model of SMPS for stable thermal field is built. And the equivalent functional equation is obtained by using the variation theory.

本文首先根据传热学理论，分析开关电源的散热途径，建立开关电源稳态热场的数学模型，并应用变分原理得到其等价的泛函形式。

By solving the equivalent equation, the methods to construct symmetric correlation immune functions with higher order and to enumerate symmetric correlation immune functions with order one were presented. The lower bound of enumeration of symmetric correlation immune functions with order one was also given in two cases.

通过求解等价方程，提供了高阶相关免疫对称函数的构造方法和一阶相关免疫对称函数的计数方法，并在2种情形下给出了n元一阶相关免疫对称函数的计数下界。

Forces can be visualized as momentum currents, for Newton ′ s Second Law is equivalent to the continuity equation for momentum in integral form.

牛顿第二定律实质上是动量连续性方程的积分形式，因而，力可以被理解为动量流。

In this paper we first turn any asymmetric system-level fault model which under the comparison into an equivalent equation ( or equationset).

本文首次把基于比较的非对称系统级故障模型等价地转换为一个方程（或方程组）。