本徵值方程 的英文怎麼說

中文拼音 [běnzhǐzhífāngchéng]
本徵值方程 英文
eigenvalue equation
  • 本 : i 名詞1 （草木的莖或根）stem or root of plants 2 （事物的根源）foundation; origin; basis 3 （本錢...
  • 徵 : 名詞[音樂] （古代五音之一 相當于簡譜的「5」） a note of the ancient chinese five tone scale corre...
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  1. The modified method of characteristics with adjusted advection based on weno interpolation for nonlinear convection - diffusion equation

    對流擴散方程的基於加權本質非振蕩插值的調整對流的修正特徵差分解法
  2. The article stated here will give some remarks to the following equation in two cases : for the case > 0, the equation expresses the eigenvalue of the laplacian while for the case = 0, it is the existence of nontriv - ial bounded harmonic functions on complete noncompact manifolds

    本文中我們主要分兩種情況來討論了關于laplace運算元的方程： u + u = 0 ， r ~ + { 0 }對應於0 ，是riemann流形上laplace運算元的特徵值問題，而對應于= 0則是完備非緊流形上非平凡的有界調和函數的存在性問題。
  3. It also roundly researched the solution of the helmholtz equation in the circumrotating ellipsoidal coordinates, and discussed how to calculate the solution of the electro - magnetic field in the circumrotating ellipsoidal coordinates using special functions, and researched circumrotating ellipsoidal cavity ’ s latent value and quality parameter using arithmetic simulation, finally we compared the ellipsoidal cavity with the spheriform cavity. the main content of this thesis are as following : 1. calculated the distribution of the electro - magnetic field inside the ellipsoidal cavity based on maxwell equations and boundary conditions, and confirmed the syntonic mode inside the ellipsoidal cavity using arithmetic methods

    本文從maxwell方程及其邊界條件求解出橢球腔內的電磁場分佈，較為全面的研究了旋轉橢球坐標系下赫姆霍茲方程的解的問題，討論了用特殊函數來求解旋轉橢球坐標系下電磁場的解，並通過數值模擬研究了旋轉橢球諧振腔的本徵值和品質因數，並和球形諧振腔做了比較，主要內容為: 1 .用maxwell方程及其邊界條件求解出橢球腔內的電磁場分佈，並且分析了橢球腔內的諧振模式。
  4. For the mesoscopic metal ring system in external magnetic field, supposing the system has a symmetry under translation in charge space, the quantum current and the quantum energy spectrum in mesoscopic metal ring are given by solving thire eigenvalue equations ; and the quantum fluctuations of the current and the energy have been calculated by the character of the minimum shift operator

    摘要針對處于外磁場中的介觀金屬環系統，假設在電荷空間中具有變換的對稱性，通過求解本徵值方程給出系統的量子電流、能譜關系；利用最小平移算符的性質等，計算介觀金屬環中電流和能量的量子漲落。
  5. For one - dimensional mesoscopic metal rings system in external magnetic field, supposing the system has a symmetry under translation in charge space, the quantum current relation in mesoscopic metal rings is given by solving the eigenvalue equation of the current, the property of quantum current have been investigated and analysed

    摘要針對處于外磁場中的一維介觀環系統，假設在電荷空間中具有變換的對稱性，通過求解電流算符的本徵值方程，給出系統中的量子電流關系，分析和研究一維介觀金屬環中量子電流的性質。
  6. The roots of the characteristic equations are known as eigenvalues, or characteristic values.

    特徵方程之根稱為本徵值或特徵值。
  7. Eigenvalue problems for fractional differential equations

    一類分數階微分方程的本徵值問題
  8. Algebraic method to the eigenvalue problem for the schrodinger equation with cornell potential

    勢下薛定諤方程本徵值問題的代數解法
  9. Aim at the above problem, this article obtained following creative results : 1. base on the keno - iv code, - keff iteration model has been constructed in this thesis

    在蒙特卡羅程序keno -的基礎上，建立了- k _ （ eff ）迭代計算模型，從原理和方法上解決了本徵值問題的計算。
  10. At the same time in terms of su ( 1, 1 ) algebra, the eigenequations of two and three - dimensional harmonic oscillator and hydrogen atom with inverse square potential are conversed into the same equations in form. then the relationships between energy levels and wave functions of them are found

    同時本文利用su （ 1 ， 1 ）代數將二維、三維情況下的諧振子同加了反平方勢的氫原子分別表示成具有相同形式的兩算符下的本徵值方程，從而得出他們的能量對應關系。
  11. 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。
  12. Ordinary differential equation, first order differential equations, 2nd order differential equations, power series solution of differential equation, laplace transform, fourier series and transform, matrix, eigen value problem, partial differential equation

    常微分方程式、一階微分方程式、二階微分方程式、微分方程式級數解、拉氏轉換、復利葉級數與轉換、矩陣、本徵值問題、偏微分程式。
  13. Based on the theory of analogy of structural mechanics and optimal control, the optimal induced norm - 2 of state feedback h control is shown to be the fundamental rayleigh quotient eigenvalue in structural vibration or euler stability problems

    根據結構力學與最優控制的模擬理論，指出狀態反饋h控制黎卡提方程中的最優參數2 ，實質上就是結構振動或穩定理論中的瑞利商最小本徵值。
  14. Abstract : based on the theory of analogy of structural mechanics and optimal control, the optimal induced norm - 2 of state feedback h control is shown to be the fundamental rayleigh quotient eigenvalue in structural vibration or euler stability problems

    文摘:根據結構力學與最優控制的模擬理論，指出狀態反饋h控制黎卡提方程中的最優參數2 ，實質上就是結構振動或穩定理論中的瑞利商最小本徵值。
  15. Then, use galerkin principle to put the stability equation in order for the special function the mathieu standard form, and utilize the boundary of the mathieu solves ’ steady area and unsteady area, namely special relationships of and, draw the discrimination equation of losing the magnetoelastic steady critical state

    然後，應用galerkin原理將穩定性方程整理為特殊函數馬丟方程的標準形式，並利用馬丟方程的穩定解區域與非穩定解區域的分界，即系數和的本徵值關系得出了磁彈性最低失穩臨界狀態的判別方程。
  16. 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。
  17. A new approach, the multipole theory ( mt ) method, is briefly described for analysis of waveguide eigenvalue problems. the essential concept is to represent the solution of the waveguide partial differential equation by the generalized mt formula of 2 - d helmholtz equation. the applied rules and the procedure of the mt method are also introduced. by calculating and analyzing some engineering problems, it is shown that the mt method is an effective approach for analysis of waveguide eigenvalue problems

    本文利用多極理論分析波導本徵值問題.給出用多極理論分析波導本徵值問題的使用規則和實施方法.實例計算結果表明，用多極理論分析波導本徵值問題，不僅具有較高的計算精度，而且可以很方便地應用於波導工程問題的設計與計算，多極理論是一種有效的波導本徵值分析方法
  18. In this thesis, the solution of kolmogorov backward differential equations in birth and death process theory has been proved to be well - posedness by using the theories and methods of linear operator co semigroup in functional analysis. and the existence of superior eigenvalue of the coefficient matrix of the equations has been studied by using the theories of positive operator and conjugate operator

    論文主要用泛函分析中的線性運算元c _ 0半群理論研究生滅過程理論中柯爾莫哥洛夫向後微分方程組解的適定性，及用正運算元和共軛運算元的理論和一些結論研究了該方程組系數矩陣運算元的占優本徵值的存在性問題。
  19. In order to solve those problems, this article adopts the energy method to analyze the stability of the major frame of steel arch gate to make up the weakness in the current standards and found the calculating models of the stability of the whole major frame of the steel arch gate. it also presents the general formula for calculating the eigenvalue and the precise equation of the calculating the length coefficient of the steel arch gate frame by using the energy method and choosing the proper experiment function

    本文主要採用能量法對弧形鋼閘門主框架線彈性穩定性進行分析與研究，建立單柱概化弧形鋼閘門主框架整體穩定的計算模型，並通過選擇合適試解函數，應用能量法給出特徵值方程及弧門框架穩定性計算長度系數精確解的公式，提出一個基於該模型方便工程設計的實用計算公式。
  20. In fact, the bearing with finite width are widely used in rotational machinery. but the calculation of oil - film force of this kind of bearing needs a large mount of time, and analytical method is powerless to this problem. considering of above reasons, this paper leads into averageing natural value method that can meet the requirment of engineering

    鑒于工程中廣泛使用有限寬軸承，而對于這種軸承的油膜力的計算，採用數值方法計算工作量很大，而解析法又無能為力的情況，本文引入了一種適用於工程精度要求的平均本徵值法。
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