associated polynomial 中文意思是什麼
associated polynomial
解釋
伴隨多項式- associated : adj. 1. 聯合的。2. 聯想的。
- 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。
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The addition formula of spherical harmonics function of degree n and order 1 is derived using the relations between coordinate varieties after coordinate rotating and the property of the associated legendre polynomial. the relations among the magnetic vector potential, the modified magnetic vector potential and the second - order vector potential ( sovp ) are shown going forward one by one. it is explained that the solutions of electromagnetic fields in different coordinate systems can be transformed and an example having analytical solution is given
利用坐標旋轉后球坐標變量間的關系和連帶勒讓德多項式的性質推導得到了n次1階球諧函數的加法公式；以遞進的方式說明磁矢量位、修正磁矢量位與二階矢量位的關系，寫出了引入二階矢量位的過程；以時諧場矢量邊值問題為例，闡明了不同坐標系下電磁場解的相互轉化原理，給出了一個解析解的轉化例子；在球坐標下，引入了較球矢量波函數更普遍的兩類矢量函數，給出了其在球面上的正交關系。 -
We can find a polynomial model of a time series in case its associated matrix is not diagonal and not of full rank by using the transformations of the exponential and the logarithm
對于不能對角和不滿秩的時間序列矩陣，運用指數對數的可逆變換及相關的列變換化為滿秩可對角的時間序列矩陣，從而找到代數多項式模型。 -
Three special subspaces of ect spline space : polynomial space, the algebraic trigonometric spline space and hyperbolic spline space are investigated in detail. the generalized p lya polynomials, associated with the three subspaces, are calculated. both of boehm algorithm and oslo algorithm for the ect b spline curves of order 4 over the three special subspaces are displayed
三、在多項式樣條空間、代數三角樣條空間和代數雙曲樣條空間這三個具體的ect空間上，給出了相應典範ect組和廣義p lya多項式的計算和顯示表示，展示了幾個低階ectb樣條曲線各種插入節點演算法的求解全過程 -
A curved beam element is proposed for the elastic and elasto - plastic large - displacement analysis of thin - walled curved beams based on the new developed nonlinear theory. using polynomial displacement functions, the proposed element includes the second order effect associated with geometric and material nonlinearities
基於新的曲梁非線性理論，提出了一種以多項式作為位移模式，可以同時考慮幾何和材料非線性的薄壁曲梁單元，用於曲梁的彈性和彈塑性問題分析，並編制了相應的有限元程序。
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