这是一个，由电场e确定的偏微分方程。
It is a partial differential equation satisfied by the electric field e.
为什么我们偏爱偏微分呢？
采用交替方向隐式算法求解偏微分方程。
The partial differential equation is solved by Alternating Direction Implicit algorithm.
流形上各种算子(如偏微分算子)的研究。
Study of all kinds of operators (such as partial differentia operators) on manifolds.
偏微分方程在科学和工程上有着广泛的应用。
Partial differential equation is widely used in problems of science and engineering.
总的来讲，所有你想解决的问题，都可以用偏微分方程来做。
Basically, to every problem you might want to consider there is a partial differential equation to solve.
这将是对偏微分方程数值分析方法的新的重要尝试。
This is a important attempt for the numerical analysis methods of PDEs.
最后，给出了上述问题在偏微分方程方面的一个应用。
At last, an application of this problem in partial differential equation is also discussed.
这个是符号化的向量算子，其中它的分量是偏微分算子。
That was this symbolic vector operator in which the components are the partial derivative operators.
研究了偏微分扩散方程在医学超声图像去噪中的应用。
Partial differential diffusion equation is used to remove the noise of medical ultrasonic image.
偏微分方程在图像处理中的应用是一个比较新的课题。
The use of Partial Differential Equations in image processing is a new research topic.
类似的方法还可以用在其它类型的偏微分方程数值解中。
Similar method may be applied in other types of partial differential equations.
再说明一下，这是关于这两个向量场，多少有点奇怪的偏微分方程。
And just to tell you again that is a strange partial differential equation relating these two vector fields.
建立了具泛函变元的拟线性偏微分系统解振动的充分条件。
Sufficient conditions are established for the oscillation of systems of second order partial differential equations with functional arguments.
采用图像相加、偏微分、邻域平均等方法来消除图像噪声；
It includes the following aspects:adopting the Partial Differential Equation and Neighborhood Average smoothing methods to reduce image noises.
那么对于dA，我们必须谨慎地使用乘法法则，或用偏微分。
Well, then, dA, so we had to use the product rule carefully, or we use the partials.
本文利用构造凸包络的方法，给出了该定理偏微分上的证明。
This paper uses the method of establishing the convex envelope, giving a proof in Partial Differential Equation.
区域分解算法是在并行机上求解偏微分方程数值解的一种方法。
The domain decomposition is a numerically approximating solution to partial differential equations on parallel computers.
将偏微分控制方程化为三次代数方程，获得结构内力的精确解。
After partial differential equations was changed into cubic algebraic equation, accurate solution of the structure was able to be obtained.
加州理工学院也纷纷发表自己的偏微分方程研究的一些优秀的信息。
CalTech have also published some excellent information on their own PDE research.
你什么有效的偏微分方程做的是不断掀起一小负责高科技金属管内爆炸。
What you're effectively doing with a PDE is repeatedly setting off a small charge of hi-explosive inside a metal tube.
计算灵敏度指标需要计算偏微分，存在一定的困难，且比较适合用解析法。
But it is difficult to calculate sensitivity indices because of calculating derivative, and it is fit to use analytical method to calculate sensitivity indices.
分别对满足偏微分不等式和在一定匹配条件下的系统讨论无源化控制问题。
Passivation control problem is discussed under Hamilton Jacobi Issacs(HJI) inequality and matching conditions, respectively.
根据一阶拟线性偏微分方程组的特征理论，讨论内弹道两相流方程组的类型。
Following the theory on characteristics of first order quasi-linear partial differential equations, classification of the balance equations for two-phase flow in interior ballistics is discussed.
然后，可以用微分关系,或受约束的偏微分来表示,曲线的切向量，就是这样了。
Then actually there are ways you can use basically differentials and constrained partials to figure out what the tangent vector to the curve is and so on.
我们还发现，这个偏微分出现在了，内能的偏微分，定义式中，它也就是热容。
We have discovered that this partial derivative that appears in the definition, the abstract definition of the differential for internal energy, is just equal to the constant volume heat capacity.
由此得出了判别重特征线性偏微分算子亚椭园性和局部可解性的若干充分条件。
From this, we obtain some sufficient conditions for hypoellipticity and local solvability of those operators.
通过系统的动能和势能表达式，应用哈密尔顿原理，可获得主导偏微分运动方程。
The energy app roach (Hamilton's principle) is employed to obtain the governing partial differential equation of motion from the expressions of potential and kinetic energies of the system.
本文讨论了一类含奇异系数双曲偏微分方程柯西问题解的可微性与低阶项之间的关系。
The relationship between the differentiability of solution of Cauchy problem of weak—hyperbolic differential equationand its lower term is studied in this paper.
本文讨论了一类含奇异系数双曲偏微分方程柯西问题解的可微性与低阶项之间的关系。
The relationship between the differentiability of solution of Cauchy problem of weak—hyperbolic differential equationand its lower term is studied in this paper.
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