polynomial expansion 中文意思是什麼

polynomial expansion 解釋
多項式展開
  • 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。
  • expansion : n 1 張開，伸展。2 擴大；擴建；展開；發展。3 廣袤，遼闊。4 擴張物，擴大部分。5 （講題等的）詳述，...
  1. 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。
  2. The obtained results in the paper are as follows : ( 1 ) the expansion of fourier series of orthogonal trigonometric polynomial for conditional mathematical expectation and function of random variable ; ( 2 ) the best approximation of trigonometric polynomial about another random variable for function of a random variable ; ( 3 ) the best approximation order of trigonometric polynomial for function of random variable

    摘要獲得了如下結果： （ 1 ）條件數學期望及隨機變量函數的三角多項式級數表達； （ 2 ）一個隨機變量關于另一個隨機變量的三角多項式的最佳逼近； （ 3 ）隨機變量函數被隨機變量三角多項式最佳逼近的階。
  3. 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。
  4. From the exact expression of the field, we obtain a multipole polynomial expansion, and under the paraxial condition we furthermore obtain the approximate expression. the loffe trap, consisting of two coils with parallel currents and four straight conductors with currents in alternating directions, is one of the most important traps. we specially study the field structure of it by using both the exact expression and a multipole polynomial expansion that facilitates studies of classical or quantum orbits. if the region near the origin is of interest, we may obtain a simple expression of the field and this configuration may be called idealized loffe trap

    若只討論阱中的近原點區域時，阱中的磁場可以呈現出一種簡潔的形式，人們把它稱為理想ioffe阱。磁矩反平行於磁場的中性粒子在阱中與磁場發生相互作用，藉助相互作用勢，可以獲得粒子在阱中的經典運動方程。在一定的近似條件下，我們可以採用逐次近似的方法，使方程簡化，其中三個分量式中關于z的方程比較容易求解，而關于x 、 y的方程則演化為我們熟悉的馬丟方程的形式。
  5. As further expansion of the cubic a - b - spline interpolation curves, in order to raise the continuity of the curves even, the author has defined the blending functions of corresponding degrees, constructed the adjustable interpolation curves of degree 5 and degree 6 with polynomial blending functions of degree 5 ( 3 - b ) and degree 6 ( 3 - b ) respectively. they are c3 and c4 continuous separately

    作為三次- b樣條插值曲線的進一步擴展，也為了提高插值曲線的連續性，作者定義了相應次數的奇異調配函數，同時利用三b五次、三b六次調配函數分別構造了五次和六次參數可調的插值曲線，它們分別是c ~ 3和c ~ 4連續的。
  6. Four special capacity expansion problem of undirected network were discussed and the responsible strongly polynomial algorithm was get

    討論了無向網路容量擴充的4種特殊問題，給出了相應的強多項式演算法
分享友人
分享到 Line

分享到臉書