chebyshev polynomial 中文意思是什麼

chebyshev polynomial 解釋
車比雪夫多項式
  • chebyshev : 貝雪夫
  • 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。
  1. The output power of the one - seven power divider was accorded with the coefficient of the chebyshev polynomial. the output phase of the divider was almost the same

    七路不等分功分器輸出的電流幅度按7次切比雪夫多項式系數分佈，各口輸出相位基本一致。
  2. First of all, the algorithm base on the boundary problem of helmholtz equation and finite - difference technique, calculate the field in “ cold ” cavity and disperse the helmholtz equation, as a result of the formula : ax = x. secondly, according to the eigenvalue of matrix theory and applied iterative methods, eigenmode adopt a numerical approach which allows the improved chebyshev polynomial iteration which based on the power method to extract the isolated eigenmode in the spectrum. finally, we resolve the problem of compatibility in software and insert the eigenmode module into the chipic which will have the function of eigenmode analysis

    具體的說: （ 1 ）首先以電磁理論中的亥姆霍茲方程的邊值問題理論和計算電磁學中的有限差分法為基礎，計算冷腔中的場分佈並離散亥姆霍茲方程，得到標準的本徵值問題: ax = x ; （ 2 ）然後根據矩陣理論中的eigenvalue問題和數值計算中的迭代方法，採用改進后的chebyshev多項式，在power迭代法的基礎上對ax = x進行多項式迭代，實現對頻譜中孤立本徵模的萃取; （ 3 ）最後將用fortran語言編制的eigenmode模塊加入到chipic軟體中，解決了eigenmode模塊與chipic主代碼的兼容問題，從而實現了chipic軟體的模式分析功能。
  3. Sum of the absolute value of chebyshev polynomial coefficients and its properties

    契貝謝夫多項式系數的絕對值和及其性質
  4. 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。
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