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laguerre函数
相关语句
  laguerre function
    A increment-type predictive control algorithm of multi-variable systems based on laguerre function approximate model
    基于Laguerre 函数近似模型的多变量系统增量型预测控制的算法
短句来源
    Multi-Variable General Predictive Self-adaptive Control Based on Laguerre Function Model
    基于Laguerre函数模型的多变量广义预测自适应控制
短句来源
    In this paper,we propose a united weighted Landaus type inequality for classical orthogonal polynomials Q_n(x),Q_n(x) can be Hermite function H_n(x),generalized Laguerre function L~((s))_n(x)(s>-1),or Jacobi function P~((α,β))_n(x)(α,β>-1).
    对于一类经典的正交多项式Qn(x):这个多项式可以是Hermite函数Hn(x),也可以是广义的Laguerre函数L(ns)(x)(s>-1),或者是Jacobi多项式P(nα,)β(x)(α,β>-1),给出了统一的加权Landau s型不等式;
短句来源
    This article discusses increment-type multi-step predictive and multi-step control algorithm of multi-variable systems of Laguerre function approximate model, and completes the simulation. The result shows this algorithm has fairly good control quality.
    探讨了基于Laguerre函数近似模型的多变量系统的增量型多步预测、多步控制算法 ,并进行了仿真 ,结果表明该算法具有较好的控制性能
短句来源
    Through the analysis of Laguerre function model structure,which is an approximate control object system,the multi variable general predictive self adaptive control is applied to the model. The model unities the identification of the model's middle parameters and the model's predictive output, and overcomes the localization that the predictive control , based on the parameter model,needs to know system's time delay and order. It is a valuable control method and adapts to the industry object of this model.
    通过对Laguerre函数模型结构的分析 ,把多变量广义预测自适应控制方法应用于该模型中 ,利用Laguerre函数模型近似控制对象系统结构 ,将模型中间参量的辨识和模型的预测输出有效的统一了起来 ,克服了单纯基于参数化模型预测控制通常需要已知系统的时延和阶次的局限 ,为适合该类模型的工业对象应用提供一种有参考价值的控制方法。
短句来源
  laguerre functions
    We first introduce the Gauss-type interpolations using a new family of generalized Laguerre functions, and establish the basic approximation results.
    首先,我们介绍了广义Laguerre多项式逼近的一些基本结果。 在第三章,我们建立了广义Laguerre函数插值逼近的一些基本结果。
短句来源
    Firstly, we recall some basic properties of generalized Laguerre polynomials and establish some basic approximation results of generalized Laguerre functions.
    首先,我们在第二章中简要介绍了广义Laguerre多项式和广义Laguerre函数的一些基本性质,同时建立了广义Laguerre函数逼近的一些基本结果。
短句来源
  “laguerre函数”译为未确定词的双语例句
    A multiplier theorem for special Hermite expansions is proved by using Littlewood-Paley theory and the estimate of the related kernel. As a consequence, some multiplier theorems for Hermite expansions and Laguerre expansions is given.
    本文通过建立与特殊 Hermite展开相对应的 Littlewood-Paley分解和相关的扭曲卷积核的 L2估计,得到特殊 Hermite展开的乘子定理,作为该结果的应用,给出了 Hermite函数及Laguerre函数展开的乘子定理.
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  laguerre function
The Laguerre function and the radial Coulomb wave function are defined by their recursion relations.
      
An addition theorem for the Laguerre function is re-derived using these techniques.
      
The characteristics of the principal modes and the multi-input threshold device can be derived from Laguerre function expansions of the computed first- and second-order Volterra kernels when the system is stimulated with a randomly varying input.
      
The new function is a generalization of the q-Laguerre function and the Stieltjes-Wigert function.
      
Finally, limq→1Anα((1 - q)x, -β, 1;q) gives Ln(α,β)(x,q), which is a β-modification of the ordinary Laguerre function.
      
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  laguerre functions
Laguerre functions are used as a basis in expanding the total wave function of the problem being considered.
      
The timedomain unknown coefficient is approximated by using an orthonormal basis function set that is derived from the Laguerre functions.
      
Using these Laguerre functions it is possible to evaluate the time derivatives in an analytic fashion.
      
The corresponding potential is supposed to be an arbitrary superposition of Laguerre functions.
      
We consider three systems of Laguerre functions and their corresponding heat diffusion semigroups.
      
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For the two-partical Boltzmann hierarchy,we consider only such distribution functions which can be expanded in Laguerre function series.By solving the moment equations system,an equilibrium solution for two-partical Boltzmann hierarchy is obtained.It is also shown that this equilibrium solution is valid for gen- eral molecular interaction.

在这篇文章,我们考虑分布函数可展成Laguerre函数的两粒子Boltzmann方程系.我们首先对于Maxwell分子,利用解矩方程组的方法,求得了两粒子Boltzmann方程系的平衡解.结果表明,我们得到的平衡解对非Maxwell分子模型也有效,同时我们证明了分布函数可展成La-suerre函数的两粒子Boltzmann方程系的平衡解只有实的或复的平均Maxwell分布.

A multiplier theorem for special Hermite expansions is proved by using Littlewood-Paley theory and the estimate of the related kernel. As a consequence, some multiplier theorems for Hermite expansions and Laguerre expansions is given.

本文通过建立与特殊 Hermite展开相对应的 Littlewood-Paley分解和相关的扭曲卷积核的 L2估计,得到特殊 Hermite展开的乘子定理,作为该结果的应用,给出了 Hermite函数及Laguerre函数展开的乘子定理.

This article discusses increment-type multi-step predictive and multi-step control algorithm of multi-variable systems of Laguerre function approximate model, and completes the simulation. The result shows this algorithm has fairly good control quality.

探讨了基于Laguerre函数近似模型的多变量系统的增量型多步预测、多步控制算法 ,并进行了仿真 ,结果表明该算法具有较好的控制性能

 
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