查询词典 operator equation

Poisson's equation:In space where the source density is ρ, the Laplacian of a : potential U is 2 U = 4πρK, where is the operator del and K is a constant (gravitational constant in case of mass and gravitational potential).

泊松方程：在源密度为ρ的空间中，位场 U 的拉普拉斯算子为： U = 4πρK，。在米-千克其中为 del 算子，K 为常数(质量的万有引力常数和重力势)秒单位制中应去掉常数 4π。

In this paper, a new approach, which is based on simulated annealing algorithm for solving a class of diffusion equation of parameter operator identification of inverse problem, is presented.

文章给出了利用模拟退火算法求解一类扩散方程的参数算子识别反问题的一种新方法。

The asymptotic estimations of solution of initial value problem are obtained for Dirac equation by use of the transformation matrix operator in this thesis.

本文运用平移算子，得到了Dirac方程初值问题解的渐近估计。构造了一个整函数ω，其零点集合与具有一般两点边界条件的Dirac特征值问题的特征值集合重合。

The finite dimension approximating solution for initial-boundary value problem of coupling nonlinear system of hyperbolic equation is constructed by orthogonal basis of characteristic value sequence of the Laplace operator in the Dirichlet boundary conditions.

以Laplace算子在Dirichlet条件下的特徵值序列为正交基底构造耦合非线性双曲型方程组初边值问题的有限维近似逼近解，证明该逼近解的一致收敛性。

As an application, the completeness of the eigenfunction system of the infinite dimensional Hamiltonian operator corresponding to a wave equation is given.

作为应用，还给出了波动方程导出的无穷维Hamilton算子特征函数系的完备性。

The model has been generalized to the condition with dissipation, which is an effective work of mine, and the evolution equation of the density operator is present.

此外，我的一个有效工作是还把该模型推广到有环境耗散情形，引入系统密度矩阵的演化动力学方程。

Thirdly, on the base of the existent error estimate of elliptical Galerkin projection operator, obtain semi-discrete and complete-discrete error estimates betwent EFG solution and exact solution of parabolic partial differential equation. Semi-discrete error estimate show that the rank of r is accordance with the approximation rank of subspace S_h. Complete-discrete error estimates show that it not only have relation with radius r of domain of influence, but also have relation with the step length of time variable and the way of discrete.Lastly, give typical examples and draw up procedures of MATLAB.

再次，在"椭圆Galerkin投影"算子的误差估计的基础上，对用EFG法解抛物型偏微分方程的EFG解与精确解之间作了半离散和全离散的误差估计，半离散的误差估计表明所给出的误差界限关于r的阶是与子空间S_h的逼近阶相一致的，全离散的误差估计表明所产生的误差不但与影响域半径r有关，而且与离散时间变量的步长τ及其离散方式有关。

Multivalued maximal monotone operator; Multivalued stochastic differential equation; Explicit solutions; Limit theorem; Denjoy's continuity; Non-Lipschitz coefficient; Large deviations

基础科学，数学，概率论、数理统计多值极大单调算子；多值随机微分方程；显式解；极限定理； Denjoy连续性；非Lipschitz系数；大偏差原理

The operator splitting/finite element method with unstructured triangular grids are used to solve the general gas lubrication equation and the perturbation method is adopted to analysis the stability of the coupling system of air film and slider.

论文的计算结果表明算子分裂法能有效克服高轴承数下数值解的振荡问题，可得到合理的气体压强分布和气浮力。

In this paper,using inverse differential operator and its linear property,we present the particular solution of n-th order general inhomogeneous linear ordinary differential equation with constant coefficient.

利用逆微分算子及其线性性质，给出了求n阶常系数线性一般非齐次项微分方程特解公式。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。