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In this paper, we consider the properties of so_called N_analytic functions , integral formula of Cauchy type and the problem of Riemann boundary value.

研究了N 解析函数的性质、Cauchy型积分公式及相应的Riemann边值问题,然后将其结果应用到一类奇异微分—积分复方程的可解性理论中,建立了其特征方程解的积分表示式

Using a perturbation method, these linearized equations are solved for a composite sphere with the charge densities of the rigid core surface and of the surface layer as the small perturbation parameters. Analytical expressions for the settling velocity and electrophoretic mobility of the composite sphere in closed form have been obtained from a balance among its hydrodynamic, electrostatic, and/or gravitational forces.

以复合粒子之固体核心表面的电荷密度和多孔性表面层内的固定电荷密度为二个微小扰动参数,应用正规微扰法来求解这些已线性化之主导方程式,再藉平衡作用於复合粒子的重力、静电力和流体阻力等三种力后,可得到带电球形复合粒子的沉降速度及电泳可动度的解析形式表示式

And the G〓 interpolated closed surface are obtained which are pieced by triangular Bezier patches with ovder 4K+1 in most case.

因而克服了以往方法中的不足之处,使得生成的闭曲面具有所用的曲面片个数少,表示式简单统一的优点。

A complete boundary integral formulation for incompressible Navier Stokes equations with time discretization by operator splitting is developed by using the fundamental solutions of the Helmhotz operator equation with different orders.

利用不同阶次的Helmhotz算子方程的基本解,建立了时间离散不可压缩Navier-Stokes方程的完全边界积分表示式

The reason lies in that the conventional representations of PWL functions concern with too many parameters occurring in the function expressions and the domain partitions respectively, which result in the redundance of the parameters in the case of the continuity condition considered.

分片线性模型得不到广泛和系统应用的主要原因是传统的分片线性函数表示式涉及太多的参数,包括定义域及定义域每一部分上函数的定义;当考虑连续性条件时冗余是显然。

An expression of space-time correlation function of scattered fields is established by this method.

借助于此法,本文建立了散射场的空间-时间相关函数的表示式

And essential features of four dimensional lattice are illustrated qualitatively.

从假想的一维、二维调制结构出发,推导出高维晶胞的表示式,进而建立了四维空间点阵,并定性地说明了四维空间点阵的特

Of a logarithm, the non-negative fractional part of the represent ''.

对于对数而言,一个对数表示式中的非负的小数部分。

Of a logarithm, the non-negative fractional part of the represent ation of a logarithm.

对于对数而言,一个对数表示式中的非负的小数部分。

First, we transform the form of the original total energy and prove the existence of the ground state energy.

而此篇文章的结果主要参考至[2]。我们先转换原本能量的表示式,并且证明了基态能量的存在性。

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