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asymptotic expression     
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  渐近表示
     Asymptotic Expression of Kernel Functions for Neumann-Bessel Series and Approximation of a Class by its Fejer Sums
     Neumann-Bessel级数的核函数的渐近表示及其Fejer和的类逼近(英文)
短句来源
     For Neumann-Bessel series we give a precise asymptotic expression of kernel functions,then discuss the rate of convergence of its partial sums and approximation of a class by its Fejer sums.
     先给出Neumann -Bessel级数的核函数的精确的渐近表示 ,然后讨论该级数的部分和的收敛速度及其Fejer和的类逼近问题 .
短句来源
     Giving the asymptotic expression of quantity C_n(δ_n)=sup{F_n(f,x) f(x)||/ω(f,δ_n):f∈C_(2π),f≠const}:where F_n is operators and {δ} is any positive sequence of numbertending to z ero,asymptotic expr ession of approximation constantwere obtained
     给出C_(2π)空间中算子相对于连续模(f,δ_n)的最佳逼近常数的渐近表示
短句来源
     Asymptotic Expression and Extrapolation of Tension Spline Collocation for Two-point Boundary Value Problem of Second-order Linear Ordinary Differential Equation
     二阶线性常微分方程张力样条配置解的渐近表示及其外推
短句来源
     Asymptotic Expression for Best Approximation Constant of Operators
     Fejér算子最佳逼近常数的渐近表示
短句来源
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  渐近表达式
     By using the technique of transforming generating function, we have calculated the escape probability of random walk on the Y1Ba2Cu3O7 lattice and have obtained its asymptotic expression in the weak coupling limit.
     本文中利用变换生成函数的技术计算了在Y_1Ba_2Cu_3O_7晶格上无规行走的逃逸几率,得到了弱耦合极限下的渐近表达式,推算了Y_1Ba_2Cu_3O_7的维度与Cu-O层间的耦合参量的关系,并得到从低维到三维的渡越(crossover)。
短句来源
     ForA-B=O(1)a si mple asymptotic expression is obtained for the critical ratio of the inner radius to the outer radiuswith the mode number large enough.
     在大模数情形下,对于A-B=O(1),得到了球壳内、外径比的分支临界值的渐近表达式
短句来源
     In this paper we gave an asymptotic expression of the kernel funetion for the conjugate Neumann-Bessel series, its precision attained to O (), and then using this expression, dismped its rate of convergence.
     给出共轭Neumann-Bessel级数的核函数的渐近表达式,它的精度达到O(),然后利用这个表达式,讨论了该级数的收敛速度.
短句来源
     Firstly, we obtained a simple asymptotic expression for the critical ratio of the inner radius to the outer radius, with the mode number used a large parameter.
     在大模数情形下,对于A-B=O(1) ,得到了球壳内外径临界比的简单渐近表达式
短句来源
     Based on the asymptotic expression for M_A,the procedure forfinding the maximum heat generation rate is also suggested.
     本文还根据M_A的渐近表达式提出了求取最大放热速度的具体方法。
短句来源
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  渐近式
     THE ASYMPTOTIC EXPRESSION OF THE SOLUTION OF THE CAUCHY PROBLEM FOR A HIGHER ORDER LINEAR ORDINARY DIFFERENTIAL EQUATION
     高阶线性常微分方程柯西问题解的渐近式
短句来源
     Asymptotic Expression of the Solution of General Boundary Value Problem for Higher Order Elliptic Equation with Perturbation Both in Boundary and in Operator
     边界和算子双摄动的高阶椭圆型方程一般边值问题解的渐近式
短句来源
     Asymptotic Expression of Solution of Cauchy's Problem for a Forth Order Linear Ordinary Differential Equation with Singularity
     具有奇性的四阶线性常微分方程柯西问题解的渐近式
短句来源
     In this paper using the method of "The Two-Variable Expansion Procedure", we again discuss construction of asymptotic expression of solution of general boundary value problem for higher order elliptic equation containing two-parameter, which boundary condition is more general than [ 1 ].
     本文用“两变量展开程序”的方法重新研究方程带两个小参数的高阶椭圆型方程一般边值问题解的渐近式的构造,这个问题的边值条件比文[l]更一般。
短句来源
     This paper studies the asymptotic expression of solution of Cauchy's problem for a forth order equation when the limit equation has singularity.
     本文研究当极限方程有奇性时四阶线性常微分方程的柯西问题解的渐近式
短句来源
更多       
  渐近表示.
     Giving the asymptotic expression of quantity C_n(δ_n)=sup{F_n(f,x) f(x)||/ω(f,δ_n):f∈C_(2π),f≠const}:where F_n is operators and {δ} is any positive sequence of numbertending to z ero,asymptotic expr ession of approximation constantwere obtained
     给出C_(2π)空间中算子相对于连续模(f,δ_n)的最佳逼近常数的渐近表示.
短句来源

 

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      asymptotic expression
    The theory of singular perturbations is used to a find a two-term asymptotic expression for the film thickness h0.
          
    The Washburn equation [1] can be used as an intermediate asymptotic expression in such cases.
          
    A second-order asymptotic expression for the profile of a capillary-gravity wave traveling over the charged surface of an ideal incompressible fluid is calculated analytically.
          
    In the finite case, we obtain an asymptotic expression, asn → ∞, for the number of matrices with zero permanent.
          
    This estimate implies an asymptotic expression for the solution indicating the presence of a track behind the body.
          
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    The diffracted field of a sound pulse source in a moving stratified medium, in which a shadow zone may be formed, has been studied theoretically. The fundamental equation is reduced to an inhomogeneous linear differential equation of second order by a mixed integral transform, and the solution is expanded into a series of normal modes. Following the method developed by Friedlander, asymptotic expressions of eigen value and eigen functions are derived from Langer's asymptotic solutions. The approximate...

    The diffracted field of a sound pulse source in a moving stratified medium, in which a shadow zone may be formed, has been studied theoretically. The fundamental equation is reduced to an inhomogeneous linear differential equation of second order by a mixed integral transform, and the solution is expanded into a series of normal modes. Following the method developed by Friedlander, asymptotic expressions of eigen value and eigen functions are derived from Langer's asymptotic solutions. The approximate formula of the field near the diffracted front is obtained for the observing points far inside the shadow boundary. Based on this formula, the establishing process and the attenuation with horizontal distance of field are discussed respectively. These relations are strongly dependent upon the boundary condition and the situations of source and receiver.

    本文研究了作定常无旋运动的分层介质中形成影区条件下一δ型脉冲点声源的衍射场.用混合积分变换将运动介质声学基本方程化为一非齐次线性二阶常微分方程,并将它的解展开成各阶简正波之迭加;运用Friedlander所发展的方法由Langer渐近解求出本征值和各本征函数的渐近表式;对于深入影区边界之内的观察点得到了波前附近场的渐近表式.根据这一表式讨论了场随时间的建立过程和随水平距离的衰减关系.这些关系强烈地依赖于边界条件以及声源和接收点是否位于界面上这一情况.

    This paper is concerned with the probability distribution, denoted by NG, of the sum of two independent variables which have a normal distribution and a gamma distribution respectively. The exact and asymptotic expressions for NG distributon and its moments are given. The truncated distribution and asymptotic distribution of NG extremes are also presented. Its applications, such as wave statistics, the statistical distribution of the maxima of a normal random function, the estimation of the mean,...

    This paper is concerned with the probability distribution, denoted by NG, of the sum of two independent variables which have a normal distribution and a gamma distribution respectively. The exact and asymptotic expressions for NG distributon and its moments are given. The truncated distribution and asymptotic distribution of NG extremes are also presented. Its applications, such as wave statistics, the statistical distribution of the maxima of a normal random function, the estimation of the mean, and quantiles of a normal sample are discussed.

    本文给出分别服从正态分布和伽玛分布的两个相互独立随机变量之和的分布(记为NG分布)及其统计特征精确表达式、渐近式、截尾分布、样本极值统计特征.并说明其在海浪统计、正态平稳随机过程、正态总体样本均值及分位数检验等问题的若干应用.

    In this paper based on [ 1 ] and [2] we study the singular perturbation of general boundary value problem for higher order elliptic equation with perturbation both in boundary and in operator, so as to establish the asymptotic expression involving two parameters. Thus derive the iterative process of finding the asymptotic solution and give out the estimation of the remainder term, we extend and improve the previously published papers.

    本文在文[1]和[2]的基础上研究边界和算子双摄动的高阶椭圆型方程一般边值问题的奇摄动,建立含两参数的渐近解表达式,导出求渐近解的迭代过程,给出余项估计,改进和拓广了前文的工作

     
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