查询词典 operator equation

The first conclusion infers the sufficient condition with the aid of thealgebra Riccati equation solution and the semi-group theory nature which the systemmay optimize;Next discussed when the system operator characteristic vector forms theRiesz base,causes control function concrete mathematical expression which its systemmay optimize;Finally summarized the system to be possible to optimize the researchnewest conclusion and the research forecast.

第一个结论借助代数Riccati方程的解及半群理论性质推导出系统可最优化；其次讨论了系统算子的特征向量形成Riesz基时，使其系统可最优化的控制函数的具体数学表达式；最后总结了系统可最优化研究的最新结论和研究展望。

On the convergence of Newton's method in Banach space〓 Let F be an operator mapping from a real or complex Banach space X to another one Y, the Newton iteration 〓(2) is used to find the approximative solution of the equation (1), where the derivative is meant in the Frechet sense.

一、Banach空间中Newton法的收敛性〓设F是由实的或复的Banach空间X到同型空间Y的算子，求解方程(1)的Newton迭代为〓，0，1…，(2)其中的导数指的是在Frechet意义下的。

The other one retrieves vertical velocity from the reflectivity using statistical algorithm and assimilates the vertical velocity taking Richardson's equation as observational operator. It is found that the vertical velo city derived by the former is usually too weak while the later gets the distinct three dimensional convective structure of meso-scale system with strong vertical velocity.

其一是采用Richardson方程通过水平风场、温度和气压来对垂直速度进行诊断，其二是利用统计方法由观测的反射率因子反演出垂直速度后，再采用Richardson方程作为观测算子对反演的垂直速度进行同化。

In chapter 3, the Bell CHSH operator is made from Fock states just similar to that Chen proposed in one of his papers and nonlocatily of pair cat states is calculated, then the master equation of the density matrix in phase damping model is given , from which the evolution of pair cat states in phase damping channel is given.

在真空热库中非定域性随时间演化逐渐减弱至消失。在第三章里，类似陈增兵文章里的方法用福克态构建了Bell CHSH算符，计算了对猫态的非定域度，之后给出相阻尼通道模型中密度算符的演化，研究了对猫态在相阻尼通道中随时间的演化特性。

Using 〓-theory in partial differential equation,I find out a sufficient condition on A,B,under which ican be extended to andreplaced by a self-adjoint operator.

利用偏微分方程中的〓理论，我对算子A和B找到了一个充分条件，在该条件下，i可以扩张成一个自共轭算子。

Moreover, it indicates that the error is reduced with the increase of the exponent number of the Asymptotic Boundary Conditions. In the third chapter, based on the Laplace equation, the limitation of the variation methods are deduced from the process proving the operator to be self-adjoint and positive definite.

针对二阶渐近边界条件中含有微分项的情况，第三章研究了基于变分的有限元方法对边界条件的限制，提出对所适用的边界条件的要求，从而说明针对二阶渐近边界条件问题可以采用迦辽金有限元方法。

We study on the controllability of parabolic systems with a nonlinear term involving the state and the gradient ,the null controllability property of a 1-d parabolic equation involving a fractional power of the Laplace operator ,null controllability of some systems of two parabolic equations with one control force ,and exact controllability of the parabolic system with bilinear control.

我们研究了含有状态和梯度的非线性的项抛物系统的能控性，含有拉普拉斯算子的分数阶的1-d抛物方程的零能控性，带有一个强控制的两个抛物方程的一些系统的零能控性和具有双线性控制抛物系统的精确能控性。

Named for Pierre-Simon Laplace, the equation states that the sum of the second partial derivatives (the Laplace operator, or Laplacian) of an unknown function is zero.

以法国数理学家拉普拉斯命名的这个方程式表述如下：一个未知函数的二级偏微商之和等于零。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了