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调和     
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  harmonic
    Some Results on Harmonic Map between Riemann-Finsler Manifolds
    Riemann-Finsler几何中的调和映射及有关问题
短句来源
    Soliton Theory of Harmonic Maps and Isometric Immersions and Their Darboux Transformations
    调和映射与等距浸入的孤立子理论及其Darboux变换
短句来源
    Some Problems on Finsler Geometry and L~2 Harmonic Forms
    关于Finsler几何及L~2调和形式的某些问题
短句来源
    Submanifolds with Constant Scalar Curvature and the Harmonic Function of Finsler Manifold
    关于常数数量曲率的子流形和Finsler流形上的调和函数
短句来源
    USE OF HARMONIC INTEGRAL KERNEL TO SOLVE DIRICHLET PROBLEM IN TWO DIMENSIONS
    利用调和积分核求解二维狄氏问题
短句来源
更多       
  biharmonic
    THE BOUNDARY INTEGRAL EQUATION METHOD FOR SOLVING THE DIRICHLET PROBLEM OF A BIHARMONIC EQUATION
    用边界积分方程法解平面双调和方程的Dirichlet问题
短句来源
    Hybrid Finite Element Method for Biharmonic Equation and Its Application to Thin Plate Problems
    双调和方程的杂交元法及其在薄板问题中的应用
短句来源
    Generalized Biharmonic Spline Interpolations throughout a Circle
    园域上广义双调和样条函数插值
短句来源
    The Generalized Difference Method Based on Adini's Element for Biharmonic Equation
    解双调和问题的基于Adini元的广义差分法
短句来源
    Entire Solutions of A Class of Semilinear Biharmonic Equations
    一类半线性双调和方程的整体解
短句来源
更多       
  the harmonic
    Submanifolds with Constant Scalar Curvature and the Harmonic Function of Finsler Manifold
    关于常数数量曲率的子流形和Finsler流形上的调和函数
短句来源
    On the Harmonic Functions in the Half-Plane
    半平面内调和函数的积分表示及其应用
短句来源
    The Harmonic Continuation Problem on A Local Sphere-An Application of The Fast Fourier Transform
    局部球面片上的调和延拓问题——快速Fourier变换的一个应用
短句来源
    On the Harmonic and Killing Vector Fields in a Submanifold of Quasi-constant Curvature Space
    关于拟常曲率空间子流形的调和与Killing向量场
短句来源
    THE HARMONIC MAPS FROM RIEMANIAN MANIFOLD INTO PSEUDO RIEMANNIAN MANIFOLD (Ⅰ)
    黎曼流形到伪黎曼流形的调和映照(Ⅰ)
短句来源
更多       
  harmonic sequence
    REPRESENT FINITE POSITIVE RATIONAL NUMBERS BY CONVERGENCE SUBSEQUENCE OF HARMONIC SEQUENCE NUMBERS
    利用调和数列的收敛子列表示有限正有理数
短句来源
    By studying some inequalities about harmonic sequence, We get the following: Theorem 1 Suppose M is a compact Riemann surface with genus g. If f: M→CP~1 is harmonic with deg f≠1. g, then f must be ± holomorphic.
    通过对关于调和序列的一些不等式的研究,我们得出以下的: 定理1.1:设M是严格为g的紧致黎曼曲面,若f:M→CP~1是调和的,且degf≠1-g,则f必是全纯或反全纯的。
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      harmonic
    Lichtenstein in the caseu =(n, ?) or(n?), we prove that ?(q).ζ1/2 is non zero for all harmonic polynomialsq ∈S() \ {0}.
          
    Coordinates on Schubert cells, Kostant's harmonic forms, and the Bruhat Poisson structure onG/B
          
    For the flag manifoldX=G/B of a complex semi-simple Lie groupG, we make connections between the Kostant harmonic forms onG/B and the geometry of the Bruhat Poisson structure.
          
    We show that on each Schubert cell, the corresponding Kostant harmonic form can be described using only data coming from the Bruhat Poisson structure.
          
    We study boundary value problems for the time-harmonic form of the Maxwell equations, as well as for other related systems of equations, on arbitrary Lipschitz domains in the three-dimensional Euclidean space.
          
    更多          
      biharmonic
    Using the representation of the system of Stokes equations in terms of the stream function in a region including a single periodic element, we obtain a boundary-value problem for the biharmonic operator.
          
    Plane-parallel vortex systems in a viscous incompressible fluid in channels with parallel walls and in a corner with no-slip conditions on the walls are investigated on the basis of exact solutions of the biharmonic equation.
          
    A computer-based laser system for the selective diagnostics of hydrogen in gas mixtures based on the coherent anti-Stokes Raman scattering (CARS) method using biharmonic pumping on the basis of stimulated Raman scattering (SRS) is developed.
          
    It is proved that a function which is biharmonic in a half-strip and satisfies homogeneous Dirichlet conditions at the base of the strip oscillates.
          
    Zero radius interaction for the biharmonic and polyharmonic equations
          
    更多          
      the harmonic
    and study some properties of the harmonic measure.
          
    The random rolling differential equation was solved in the time domain by applying the harmonic acceleration method and by synthetically considering the instantaneous state of ships and the narrowband wave energy spectrum.
          
    Comparing the frequencies and amplitudes of the harmonic component of these functions allowed us to estimate the accuracy of measurements made by the QSAM system in the low-frequency range.
          
    By means of the method of integral equations [1] the problem is reduced to an infinite system of singular integral equations for the harmonic components of the oscillations in the distribution of the unknown aerodynamic load on the blades.
          
    It is shown that for a fairly large amplitude of the harmonic and a particular choice of wave number and Reynolds number the interacting waves are synchronized.
          
    更多          
      harmonic sequence
    Cyclic properties of the harmonic sequence of surfaces inCPn
          
    Stephen Wassell replies to the question posed by geometer Marcus the Marinite: if one can define arithmetic and geometric sequences, can one define a harmonic sequence?
          
    In our approach, the blocking effect is avoided by setting the template length as a constant and a divisor of the base of the harmonic sequence.
          
    The voice enters with a chord-derived melody over, what we are coming to expect, a descending harmonic sequence on the circle of fifths.
          
    The execution periods of all the tasks being considered are selected as a harmonic sequence.
          


    The wave eguation for the motion of an electron in the static field of lithium atom is solved by numerical method for electron energy up to 340 volts. The wave functions found in this papor are required in the calculation of collision probabilities. The zero, first and second order phases of the wave functions are plotted against the k values for the incident electrons, the distortions are much greater in the field of the lithium atom than in the field of helium atom. The first and second order phases, which...

    The wave eguation for the motion of an electron in the static field of lithium atom is solved by numerical method for electron energy up to 340 volts. The wave functions found in this papor are required in the calculation of collision probabilities. The zero, first and second order phases of the wave functions are plotted against the k values for the incident electrons, the distortions are much greater in the field of the lithium atom than in the field of helium atom. The first and second order phases, which were practically negligible in the field of helium atom, are much greater in the field of lithium atom, and are comparable with the zero order phases at the higher velocities.

    本文用数字计算法算出了电子在正常态锂原子场中运动的畸变波函数,电子的投射能量由零算到340伏特.同时也算出了电子波的前三次调和项的位相移动一速度曲线.

    In this notes the author has generalized the results of K. Yano about the harmonic and Killing vector fields in Compact orientable Riemannian spaces with boundary by means of Stokes' and Green's theorem.

    本文目的是引用作者创用的方法将K.Yano关于具有边界的可定向黎曼流形上的调和和Killing向量场的结果加以推广,显然这个方法也可应用到调和张量场和Killing张量场的情形,这将在另文讨论.

    The purpose of this Work is to develop a method for solving the boundary value problem of the exact theory of water waves. The boundary value problem of mixed type of harmonic functions with unknown and non-linear boundary conditions has been reduced to the boundary value problem of mixed type of harmonic functions with known and all-linear boundary conditions. The present metnod has been applied to finding first-order approximate solutions for two different sets of boundary conditlons, and the results obtained...

    The purpose of this Work is to develop a method for solving the boundary value problem of the exact theory of water waves. The boundary value problem of mixed type of harmonic functions with unknown and non-linear boundary conditions has been reduced to the boundary value problem of mixed type of harmonic functions with known and all-linear boundary conditions. The present metnod has been applied to finding first-order approximate solutions for two different sets of boundary conditlons, and the results obtained are in agreement with that obtained by Pohle and by Penney and Thornhill.

    本文提出解水波准确理论初值问题的一个方法,将原来的求解存在于未知区域并有非线性边界条件的调和函数的混边值问题化为逐次求解一个在已知区域上另有线性边界条件的调和函数混合边值问题,并就两种情况——水(?)渍决而引起的水的运动和被支持在水平面上的开始为静正并成半圆柱形的水的运动——得到了一级近似解,在这两种情况下所得的结果分别与Poble及Penney和Thornhill所得的结果一致。

     
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