查询词典 abel equation

Using the continuity method, we will obtain a theorem of existence of solutions to the equation on 4-dimensional compact Riemannian Manifolds.Finally, we will consider a kind of Kazdan-Warner type equation on compact complex manifolds.

作为上述工作的补充，我们讨论了规范固定Yang-Mills方程，并用连续性方法得到了一个在四维紧致黎曼流形上解的存在性定理。

On the basis of Navier-Stoks equation and continuity equation, the SOLA-VOF method was adapted to calculate the field of velocity and pressure in fluid in this program. According to the inertia and continuity of fluid, a new velocity boundary conditions of free surface for 3dimensional fluid flow simulation had been developed. By the new method, any velocity condition occupied on the free surface of the fliud flow could be treated reasonably.

以流体的动量守恒方程和连续性方程为基础，采用SOLA-VOF方法，结合首次提出的流体惯性原理与连续性原理相结合的自由表面速度边界条件处理方法，研制出了流场数值模拟程序。

Two dimensions mathematics model is set up by continuous equation and Ergun equation to discuss gas flow character.

并利用连续性方程和Ergun方程建立气体等温流动的二维数学模型，对不同气体流量等条件下的特性进行了研究和探讨。

First,the planar waveguide models for Rotman lens and its feed lines which incorporate the dispersion effect with frequencies are set up.Then the aperture electric fields at lens ports are expanded by appropriate waveguide mode functions and substituted into the contour integral equation.The multimode scattering matrix of the lens can be acquired by solving the contour integral equation by using Galerkin method.

首先建立了考虑色散效应的透镜的等效平板波导模型，然后选择适当的波导模式函数展开透镜端口上的场，并利用Galerkin法求解其边缘上电场满足的轮廓积分方程即可得到透镜的多模式散射参数。

A integral equation formulation is derived based on modified Green's operator with norm less or equal to one. The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程，由于满足压缩映射条件，该积分方程在任意参数条件下总是迭代收敛的。

First, we derive the Slant operational matrix of integration and set up Slant conversion table, then we could solve the differential equation and the partial differential equation easily.

首先，推导出 Slant 转换的积分运算矩阵，然后建 Slant 转换表，之后我们就能轻地求解微分方程和偏微分方程的问题。

In the present paper,we first investigate the following initial-boundary valueproblem of parabolic Monge-Ampere equation〓 in 〓(1)〓 on 〓(2)where Ω is a bounded convex domain in 〓 denotes the parabolic boundaryof Q,and second give a preliminary probe into the initial value problem of aspecial kind of parabolic Monge-Ampere equation which comes from the theoryof optimal investment in mathematical finance.

本文首先讨论如下抛物型Mongc-Ampère方程的第一初边值问题〓（1）〓（2）其中〓为〓中的有界凸区域，〓为Q的抛物边界，然后针对一种在数学金融学的最优投资理论中导出的特殊形式的抛物型Monge-Ampère方程的初值问题进行了初步的探讨。

By decomposing the problem system into an extended saturated soil system and a virtual pile system, through the strain compatibility condition between the extended saturated soil system and the virtual system at an arbitrary depth z along the pile, and combined the Laplace transform and its convolution, a Fredholm intergral equation of the second kind of the single pile in saturated layered transversely isotropic soils is established. The axial force and diaplacement of the pile are obtained by solving the Fredholm intergral equation.

将求解体系看作是饱和土体和虚拟桩的叠加，利用沿桩身任意一点z处饱和地基与虚拟桩的应变协调，并结合Laplace变换及其卷积性质，建立了饱和成层横观各向同性地基中竖向受荷单桩问题的第二类Fredhlom积分方程，对该积分方程进行求解可得桩的真实轴力、位移。

Aimed to the differential equation in form of convolution and the functional presented by M. E. Gurtin, the matrix operator which includes the differential equation and the boundary condition is proved self-adjoint, furthermore a general variational principles in form of convolution and the preparation theorem are given and proved.

针对M.E.Gurtin提出的含卷积运算的抛物型偏微分方程及其对应的泛函，运用泛函势算子理论，从理论上证明了含卷积运算的抛物型偏微分方程及其边界条件所对应的矩阵算子有势，进而给出并证明了具有普适意义的含卷积运算的变分定理及预备定理。

Based on the wave equation of longitudinal vibration of variable cross-session rod, the frequency equation and parameter formula of cosine horn are educed, the cosine horn with same frequency and different area ratio is designed by using Matlab language.

根据变截面杆纵向振动的波动方程，推导了余弦形变幅杆的频率方程和重要参数的计算公式。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。