近似展開式 的英文怎麼說
中文拼音 [jìnsìzhǎnkāishì]
近似展開式
英文
approximate expansion-
By introducing proper stretchy variable and constructing boundary layer function, it concludes n - order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved
通過引進適當的伸長變量,構造邊界層函數,得到了解的n階近似值,並利用微分不等式理論證明了解的漸近展開式的一致有效性。Following is our main work and important conclusions : ( 1 ) the question of energy spectrum hardening. we used the klein - nishina ' s differential scatter formula, meanwhile utilize the thaler progression to spread out, and neglected the high - power, and then we deduced a theoretical formula of correction of energy spectrum hardening
其主要工作和結論如下: ( 1 )對x射線能譜硬化問題,把klein - nishina微分散射方程,利用泰勒級數展開,在忽略高次項的情形下,近似地推導出了能譜硬化修正公式。The main results achieved in this thesis can be summarized as follows : 1. by means of the fourier series expansion, an approximate analytical propagation equation of flattened gaussian beams ( fgbs ) passing through an apertured paraxial abcd optical system is derived, and illustrated with numerical examples, when the transmissivity of the aperture is t ( x ) = cos ( x )
用傅立葉級數展開法研究了平頂高斯光束通過有光闌限制的近軸abcd光學系統的傳輸特性,導出了光闌透射率為t ( x ) = cos ( x )時的近似解析傳輸公式,硬邊光闌的情況可作為= 0的特例得到。In recent years, the derivative forms and the similar forms of eso have been proposed in some companies in china
近年來,股票期權制度的衍生形式和類似形式已經在我國企業中開始試點,並正經歷著由點到面的推廣和發展過程。In this paper, we expand eigenvalue of poisson equation using bilinear element, by the formulation of the error expanition, we can conclude that it is a upper bound. and by two numerical example, we computer the approximate eigenvalue of poisson equation in square and l - shape domains, then we analyses the approximate eigenvalue. we also extraplate the error expansion and enhance the accuracy of the eigenvalue form the second order to the forth order
本論文對poisson方程的特徵值採用雙線性元進行展開,得到了誤差展開式,通過誤差展開式,我們能得到特徵值是上界。通過數值算例,計算方形與l形區域上的poisson方程的近似特徵值,並對數據進行分析,驗證了理論的正確性,然後通過對誤差展開式外推,收斂級數可以從二階提高到四階,得到了高精度的解。We expand the eigenvalue of possion equation using wilson nonconforming element. by the formulation of the error expanition, we can not conclude whether it is a upper bound or a lowr bound. but we guess it is a lower bound, and by two numerical example, we find thatwe are right. we also extraplate the error expansion and enhance the accuracy of the eigenvalue from second order to third order
通過數值算例,計算方行與l行區域上的poisson方程的近似特徵值,並對數據進行分析,驗證了我們的推測是正確的,然後通過對誤差展開式外推,收斂階數可以從二階提高到三階,得到了高精度的解。Under appropriate assumptions, the existence of solution is proved by means of the theory of differential inequalities and the uniformly valid asymptotic expansion for arbitrary nthorder is obtained
在適當的條件下,利用微分不等式理論證明?解的存在性,得到?解的任意階近似的一致有效漸近展開式。Abstract : based on the basic concept of the revolving shell, the equation of the middle surface generatrix of the approximate ellipsoid portion of the ellipsoidal head is derived, the unwrapped area and the unwrapped diameter of the ellipsoidal head are calculated, the result is compared with that of derived from the real ellipsoid and that of calculated from the empirical equation, relative chart and code are given out, which could be used by manufactures for reference
文摘:根據回轉殼體的基本概念,推導了橢圓封頭的近似橢圓殼部分的中面母線方程,據此推導計算了橢圓封頭的展開面積及展開圓直徑,並根據橢圓殼幾何形狀推導的結果與經驗公式所得結果進行了比較,給出了有關圖表及計算程序,可供製造單位參考使用。Chapter 5 directly sets out from the green formulae of velocity potential due to the existence of lifting force, adopts an approximate kutta condition and firstly calculates the maneuvering hydrodynamics of a wigley ship with an attack angle using the present method of b spline
由於有升力的存在,第5章直接從速度勢格林公式出發,並採用了一種近似的kutta條件,首次採用b樣條邊界元方法對作斜航船武漢理} _人學博十學位論文體的操縱水動力開展了數值計豹( 3 ) by means of expanding the aperture function into a finite sum of complex gaussian functions, the propagation of fgbs through a paraxial optical abcd system with hard - edged aperture is studied, and the approximate closed - form equations of apertured fgbs are obtained for the first time. the results obtained by using the approximate closed - form equation and collins formula are compared, and the condition under which the approximate closed - form equation is applicable is analyzed
( 3 )利用光闌函數的復高斯函數展開法對截斷平頂高斯光束的傳輸作了研究,首次得到了截斷平頂高斯光束在近軸abcd光學系統中傳輸時的近似解析傳輸公式,通過比較用近似傳物公式和colhns公式直接數值積分所得的結果,得出了近似公式的適用范圍。分享友人