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The functional by variational calculus leads to a set of elliptic partial differential equations,in particular,Poisson equations,which is possibly solved by numerical methods.

利用变分法可以从这个二次误差指标函数导出一组椭圆形偏微分方程泊松方程，这类方程有相当成熟的数值解法。

The variational problems of the complete functional in calculus of variations are studied deperding on the arbitrary arguments,arbitrary multivariable functions and arbitrary-order partial derivatives of multivariable functions.

研究变分法中依赖于任意个自变量、任意个多元函数和任意阶多元函数偏导数的完全泛函的变分问题；提出并证明了完全泛函的变分问题的定理，采用偏微分算子，给出了完全欧拉方程组。

We look concept lattice as data structure to implement concept hierarchy on, and thus study how to implement basic rough set operations on concept lattice and use them as basic tools to solve complete or partial functional dependence.

我们将概念格视为实现概念层次的数据结构，研究了如何在概念格上实现粗糙集合基本运算，并将这些运算作为依据规则集合求解完全或部分函数依赖的基本工具。

Going up at present net of fur seal dog (of Http://www.shdog.net) trade board piece release information to be able to be buckled take partial integral.

现在在上海狗狗网(http：//www.shdog.net )的交易板块发布信息都会扣取部分积分。

Furuncle swollen partial available sulfur ointment ichthyol external application.

疖肿局部可用硫磺鱼石脂软膏外敷。

DTA results that: ash was sintered far below the fusion point, the partial fusion is one of the main factors that caused the ash deposition.

差热分析表明：在远低于灰熔点的温度条件下，灰渣内部已经有一部分矿物发生了烧结，这些局部的熔融是引起矿物质颗粒相互粘连的原因之一。

A quantitative analysis for dynamic stability of a set of superconducting partial torus in a fusion reactor under a pulse current over a stationary current is given.

对于聚变反应堆中超导载流磁体在稳态电流基础上受到脉冲电流影响时的动力稳定性给出了定量分析方法。

The partial melting experiments of gabbro from Hanshan were carried out at various pressures from 1.5 to 3.0GPa and temperatures from 900 to 1400℃,using a YJ-3000t press fitting with a wedge-type cubic anvil for all experiments.

利用天然含水辉长岩在1.5-3.0GPa， 900℃？1440℃条件下进行了高温高压部分熔融实验，系统地分析了辉长岩部分熔融后实验产物的岩石学、矿物学、地球化学特征。

The partial differential equations are discretized to the ordinary differential equations using the Galerkin approach.

利用 Galerkin法离散偏微分方程，得到两个自由度非线性控制方程，并且利用多尺度法得到了平均方程。

The linearized partial differential equation of motion is derived based on Euler-Bernoulli beam theory, and reduced to a set of coupled Hill's equations by using Galerkin's method.

首先根据欧拉梁理论建立偏微分运动方程，利用迦辽金法转化偏微分方程为周期变系数常微分方程。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。