polynomial approximation 中文意思是什麼
polynomial approximation
解釋
多項式近似法- polynomial : adj. 1. 【動、植】多詞學名的。2. 【數學】多項式的。n. 1. 【動、植】多詞學名。 2. 【數學】多項式。
- approximation : n. 1. 接近；近似。2. 【數學】近似值。3. 概算，略計。
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We compare the approximation of an analytic function f by its taylor polynomial and its poisson partial sum with the same number of terms and illustrate that for functions with limit zero at infinity and for bounded functions the poisson expansion provides a better approximation to the function than the taylor expansion
在第三章中，介紹了rb曲線與poisson曲線的概念以及基本的幾何性質，指出了poisson基函數與有理bernstein基函數之間存在的關系，並且將解析函數的taylor逼近與poisson逼近進行比較。實例表明，對于在無窮遠處極限為0的函數以及有界函數， poisson逼近比taylor逼近效果要好。 -
A new osculatory rational interpolation kernel function is established, which is different from the classical linear interpolation kernel functions. generally, it is a more accurate approximation for the ideal interpolation function than other linear polynomial interpolants functions. simulation results are also presented to demonstrate the superior performance of this new interpolation kernel function
本文構造了一個全新的圖像插值核函數?自適應切觸有理插值核函數，同現有的線性插值核函數相比，其空域特性和頻域特性均最接近合肥工業大學博士論文理想插值核函數sinc函數。 -
In theory of approximations, the classic methods of polynomial approximation for rational expression are various interpolations and operator approximations, such as lagrange interpolation, hermite interpolation and bernstein polynomial approximation
在逼近論中，用多項式逼近有理式的經典的方法是各種插值與運算元逼近方法，如lagrange插值、 hermite插值和bernstein多項式逼近等。 -
Interval polynomial curves approximation of offset curves
曲線的光順 -
This article describes the development process of surrogate models and introduces some experiment design methods and approximation approaches that can be used for a mdo surrogate model, they are full factorial experiment design, orthogonal experiment design, uniform experiment design, central - composite experiment design, and polynomial response surface method, kriging method, radial basis function method and artificial neural network
為此本文中分別介紹了正交試驗，均勻試驗以及中心復合試驗等幾種試驗設計方法，以及多項式響應面， kriging ，和徑向基函數等幾種數學近似方法。並且通過構造描述機翼展向升力分佈的代理模型，對上述幾種方法作了對比分析。 -
The parametric speed of the curve is firstly approximated by the bezier polynomial which takes the lengths of control polygon ' s edges of the direction curve of normal as bezier coordinates. then the corresponding geometric offset approximation algorithm is given. moreover, an offset approximation with high precision is obtained by degree elevation of the direction curve of normal
首先利用以法矢方向曲線的控制多邊形邊長為b zier縱標的b zier多項式來逼近曲線的參數速度，給出了相應的幾何等距逼近演算法，進一步結合法矢方向曲線的升階獲得了高精度逼近 -
In the third chapter, interval polynomial approximation of rational curves is introduced
第三章主要介紹了有理曲線的區間多項式逼近。 -
However, due to the complex of computation and the need of the design, sometime we need to use polynomial approximation for a rational curves and surfaces
然而由於計算的復雜性和設計的需要，有時我們還需要用多項式函數來逼近有理曲線和曲面。 -
In this paper, we survey the development of polynomial approximation of rational curves ( surfaces ) and state the knowledge of interval curves ( surfaces ) in the first chapter
本論文中，第一章首先介紹了有理曲線曲面的多項式逼近研究工作的發展情況和區間曲線曲面一些相關知識。 -
The image inverse filtering with polynomial approximation and the image recovery in spatially variant systems
用多項式近似的圖象逆濾波及空間移變系統圖象的恢復 -
In the final chapter, we discuss interval polynomial approximation of rational surfaces. firstly, we briefly state the interval - surface approximation based on the taylor expansion, and later, we give out a better interval - surface approximation based on the optimization method, which is also the main work of this paper
第四章主要介紹了有理曲面的區間多項式的逼近，首先簡單介紹了基於泰勒展開來做的區間曲面逼近，後面是本文的主要工作，我們基於優化方法得到了更好的區間曲面逼近，它也是本文的重要部分。 -
Polynomial approximation method of canopy track for powered supports
液壓支架梁端軌跡的多項式逼近方法 -
Variable parameter gradient estimation algorithm with local polynomial approximation
一類時變系統參數跟蹤估計 -
Best polynomial approximation
最佳多項式逼近 -
Uniqueness of analytic functions in weighted hardy space and weighted exponential polynomial approximation in many variables
空間中解析函數的唯一性及多元指數多項式的加權逼近 -
Up to now, most of the known upper bounds are asymptotic, and there is no polynomial approximation algorithm except, cor planar graphs which have a 2 - approximation algorithm
由於該問題的難度較大，近年來許多學者致力於研究其多項式可解的情形及上下界的確定。遺憾的是，到目前為止，仍未發現有效演算法。 -
Firstly, a weak formulation of this problem is derived. the existence, uniqueness and regularity of its solution are discussed. next, the mixed legendre - hermite polynomial approximation in non - isotropic sobolev space is proposed
首先，我們在第二章中討論無窮帶狀區域上熱傳導方程的弱形式及其解的存在性，唯一性和正則性，這種弱形式適合於數值計算。 -
By orthogonal polynomial approximation method, we first reduce the random system into its deterministic equivalent one, so the response problem of a random system can be transformed into that of a deterministic system
有關上述gegenbauer多項式方法在隨機振動問題中的應用，現有文獻中尚未見報道。上述三種方法都可以用於求解隨機結構的演變隨機均方響應問題。 -
Then the unified approach can be applied to it to acquire the ensemble random evolutionary response. since the normal probability density function ( pdf ) may lead to instability of some sample systems when the random parameters taking sufficiently small negative values, an arch - like pdf and a more adaptable - pdf, together with the matching chebyshev polynomial approximation and gegenbauer polynomial approximation, are suggested. numerical examples show that the suggested methods are effective
相比較而言，隨機模擬法的結果無疑是最可靠的，但是它的計算量嫌大；隨機攝動法的計算量遠小於隨機模擬法，但是它要求隨機攝動量必須是一個小量；正交展開法的計算精度好於隨機攝動法，其得到結果與隨機模擬法得到的結果幾乎吻合，其計算量略多於隨機攝動法，但與隨機模擬法相比要少的多，不過計算前的準備工作較費時。 -
It is said that the stochastic perturbation method basically could not fulfil the requirement of dynamical random response problems. however, so far in the dissipative systems, this is not the case. thirdly, the unified approach is combined with the orthogonal polynomial approximation
3 ）將統一解法，與正交多項式逼近方法結合起來，指出文獻中流傳的採用正態pdf來描述隨機結構參數的缺陷，並先後提出了拱形概率密度與更具有一般性的? pdf模型，並分別與chebyshev多項式逼近、 gegenbauer多項式逼近相配合，構成了一套具有廣泛適應性的解法。
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