hermite polynomial 中文意思是什麼
hermite polynomial
解釋
埃爾米特多項式- hermite : 埃爾米特
- 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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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。 -
By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one - dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. therefore the relationships between energy levels and wave functions of one - dimensional harmonic oscillator and hydrogen atom are found. through the coordinates transform, the relationships between energy levels and wave functions of two - dimensional harmonic oscillator and hydrogen atom are found
首先綜述了諧振子與氫原子的基本理論的研究現狀，並在此基礎上對諧振子與氫原子的關系展開了研究，通過厄密特方程與拉蓋爾方程的相互轉化，將一維諧振子與一維氫原子的本徵值方程轉化為相同形式的方程，從而比較得出它們能量及波函數間的關系，並通過坐標變換將直角坐標系下二維氫原子的本徵值方程轉化成與曲線坐標系下二維諧振子的本徵值方程相同的形式，從而得出二維氫原子與二維諧振子的能量及波函數的關系。 -
A mathematic model of reactor, steam generator, pressurizer is developed based on characteristic of pwr coolant system. for reactor, the point reactor kinetics equation with six - group delayed neutrons is used and influence of coolant ' s and fuel ' s temperature is considered, conduction model of one dimension and single - channel model is used in thermal and hydraulic calculation, third - order hermite polynomial is used to solve the point reactor kinetics equation
對于反應堆，在物理計算中採用了帶有六組緩發中子的點堆方程，同時考慮了多普勒效應及冷卻劑溫度效應對反應性的影響；在熱工水力計算中採用了一維的熱傳導模型與單通道模型；在求解點堆方程中採用了hermite插值的方法，克服了點堆方程的剛性問題。 -
The polynomial factors in the harmonic-oscillator wave functions are called hermite polynomials after a french mathematician.
諧振子波函數的多項式因子隨一法國數學家之名而叫做厄米多項式。 -
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。
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