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- In this paper,we establish the Cauchy integral formula and Schwarz integral formula,and discuss the sufficiently and necessary condition of B-harmonic function on the hypersphere topological product domains. 建立了超球拓扑积上的Cauchy积分公式和Schwarz积分公式;并进一步讨论了超球拓扑积上B-调和函数的充要条件.
- Schwarz integral formula 8chwarz积分公式
- The integral formula of fog drip volitation distance and fog drip decelerated falling distance was solved by fourt... 算例表明,新方法计算简便、结果精确、易于编程用计算机计算、收敛速度快。
- The cauchy integral formula and cauchy integral theorem are discussed in this paper. 本文主要讨论双解析函数的 Cauchy积分公式 ,Cauchy积分定理等问题。
- When the present generally used Kirchhoff diffraction integral formula faces difficulties of limited condition,the former viewpoint is more accurate. 当目前通用的基耳霍夫衍射积分公式因限制条件不满足而碰到问题时，则以前种观点分析为准。
- The expression for radial wave function of a two dimensional harmonic oscillator is derived through an integral formula of general Lagurre function. 利用广义拉盖尔函数的一个积分公式,推导出二维各向同性谐振子的归一化径向波函数表达式。
- Based on the nonparaxial vector Rayleigh-Sommerfeld far-field diffraction integral formula, a vector expression for describing the far field of a semiconductor laser is proposed. 研究发现：在傍轴区域标量表达式不会引起太大的误差；
- Cauchy- Schwarz integral inequality Cauchy-Schwarz积分不等式
- The paper discussed the method which present the integral function by three-point interpolation , construction of trapezium integral formula and Simpson integral formula. The adaptive step size three-point interpolation integral algorithm is proposed. 本文利用三点插值函数近似表达被积函数,构造梯形求积公式和simpson求积公式,并在此基础上提出了一种快速数值积分的新算法,即自适应步长三点插值型数值积分算法。
- We shall show that the Euler characteristic form of E plays the roleof the Stiefel-Whitney characteristic form of M, and the integral formula of the Eulercharacteristic form of E is just the generalized Gauss-Bonnet formula. 我们同时指出:丛E的Euler示性式的积分公式正好是J.;Eells的广义Gauss-Bonnet公式。
- According to Poisson integral formula and the boundary velocity,the analytical calculating formula of inner circle values can be solved and afterwards the distribution of velocity and pressure is given and analyzed. 根据此公式及边界速度值;求得区域内速度及压力分布的解析表达式;并通过数值积分的方法进行求解;计算量小;所得速度及压力分布图曲线光滑.
- The Schwarz Integral on the Hypersphere Topological Product Domains 超球拓扑积域上的Schwarz积分
- Then the paper discusses the integration methods of it and elicit Cauchy integral formula by constructing an assistant function. 讨论了其上的积分方法,通过构造一个辅助函数,得出了Cauchy积分公式。
- This article illustrates by the specific examples that the integral formula of Gauss's law when having insulator is a macrocosm formula under a certain condition and it can't explain microcosm. 该文通过具体例子说明了有介质时的高斯定理的积分形式是在一定条件下的宏观表达式，它不能解释微观现象.
- In this paper,the varied factors restricting state of a linear multistep integration formula are stated briefly. 概述了制约线性多步积分公式轨道积分状态的多种因素；
- The Helmholtz integral formula shows that the acoustic pressure in an enclosed space can be treated as superimpose result of contribution of all boundary elements that act as sound sources. 由边界积分公式表明 ,封闭区域内某一点的声压可以看作由边界面上次级声源发出的声波在该点贡献的叠加。
- Based on the general Huygens-Fresnel diffraction integral formula, the focal switch effect of Hermite-cosine-Gaussian beams passing through an astigmatic lens is investigated in detail. 应用惠更斯-菲涅耳衍射积分公式,研究了厄米-余弦-高斯光束通过像散透镜后的焦开关现象。
- The Focusing property of flat-topped multi-Gaussian laser beam by lens with spherical aberration is discussed. on the basis of generalized Huygens-Fresnel Diffraction integral formula. 摘要利用广义惠更斯-菲涅耳衍射积分公式，研究了平顶多高斯光束通过球差透镜的聚焦特性。
- In the non-axis approach, the characters of the light spot of zone plate were investigated by using the Frensnel-Kirchhoff integrating formula. 摘要基于非傍轴近似下菲涅耳-基尔霍夫积分公式，讨论了波带片在离焦条件下的光斑特性。
- Multi-condimensional submanifold is a difficultly problem in the study, and this paper investigates the integration formula of centroaffine differential geometry of codimension 2. 高余维子流形是仿射微分几何中难于处理的问题，鉴此，主要研究在余维数为2的情况下，中心仿射微分几何的积分公式.
