eigenvalue equation 中文意思是什麼

eigenvalue equation 解釋
本徵值方程
  • eigenvalue : n. 【數學】特徵值，固有值。
  • equation : n. 1. 平衡，均衡；平均，相等。2. 【數學】方程式，等式。3. 【天文學】（時）差；均分，等分。4. 【化學】反應式。
  1. 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。
  2. Eigenvalue problem for a nonlinear differential equation on a measure chain

    測度鏈上非線性微分方程的特徵值問題
  3. New numerical method to solve eigenvalue equation of surface wave

    計算表面波特徵方程的一種新的數值方法
  4. The first order weakly - guiding approximation for the eigenvalue equation of hybrid modes in a step - index optical fiber

    階躍光纖中混合模式特徵方程的一階弱導近似
  5. Then use the finite element method to analyse the dielectric loaded resonant cavity, and get the generalized eigenvalue equation ax = k02bx, in matrix b includes the unknown r

    然後採用有限元分析的方法來分析介質加載諧振腔，並得到待求廣義特徵方程ax = k02bx ，其中b中含有未知數r 。
  6. According to eigenvalue equation ( general formula ) of the energy method of the plane steel frame structure stability, and considering the restriction of the end of the column of the main steel frame and function of deflection curve gained from the differential balance equation general resolution, we get the equation for calculating the length coefficient of the main frame structure stability of the steel arch gate and the resolutions are also given

    根據平面剛架穩定性能量法特徵值方程（通式） ，考慮弧形鋼閘門主框架柱的柱端約束的特殊情況，求出撓曲線函數（試解函數）通解，得到弧形鋼閘門主框架柱穩定性計算長度系數方程。其中弧門主框架主橫梁式形框架的臨界荷載比較現行規范推薦的有限元法簡單方便、結果精確及物理概念明確等優點。
  7. 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。
  8. The simplified geometric nonlinear theory is used in post - buckling analysis. galerkin method is employed to derive the eigenvalue equation of the shell containing initia l geometrical imperfections. the buckling critical load is get. the program for calculating the buckling critical load is developed and the numerical example is given.

    採用簡化的幾何非線性理論，進行了后屈曲分析，應用galerkin法推導得到了含有初始幾何缺陷的編織復合材料圓柱殼的屈曲特徵方程，得到了臨界荷載的計算公式，編制了相應的計算機程序，並給出了具體算例，得到了一些有益的結論。
  9. 4. with visco - elastic boundary of soil considered, the eigenvalue equation in frequency domain of soil dynamic equilibrium equation falls into a complex transcendental equation. in course of seeking its solution, based on argument principle and contour integral, with the aid of matlab, two numerical algorithm combined with the corresponding procedures for solving transcendental equations in a complex plane is developed by the author

    4 、由於考慮了土體的粘彈性支承邊界條件，使得其動力平衡方程在頻域內的固有值方程為一復數超越方程，為了求解該方程，筆者基於幅角原理和閉合曲線積分，結合matlab ，提出了復平面上超越方程的兩種數值解法，並編制了相應的程序。
  10. 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
  11. Tp was the eigenvalue of logistic equation. the dre differences among plants could be well differentiated by tp

    拐點是邏輯方程的一個特徵值，對離體枝的脫水速率具有較好的鑒別能力。
  12. 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。
  13. In this paper, we convert the complex third order eigenvalue problems into the real third order eigenvalue problems. then, based on the euler - lagrange equation and legendre transformation, a reasonable jacobi - ostrogredsky coordinate system have been found, then using nonlinear method, the lax pairs of the real bargrnann and neumann system are nonlinearized, so as to be a new finite - dimensional integrable hamilton system in the liouville sense is generated. moreover, the involutive representations of the solution for the evolution equations are obtained

    本文將復的三階特徵值問題轉化為實的三階特徵值問題，利用euler - lagrange方程和legendre變換，找到一組合理的實的jacobi - ostrogredsky坐標系，從而找到與之相關的實化系統，再利用曹策問教授的非線性化方法，分別將三階特徵值問題及相應的lax對進行非線性化，從而得到bargmann勢和neumann勢約束系統，並證明它們是liouville意義下的完全可積系統，進而給出了bargmann系統和neumann系統的對合解。
  14. Considering the fuzziness of some boundary conditions enviroment media, and especially some loads in the engineering structure analysis, we go further into the computation based on the dynamic problem of fuzzy finite element ( ffe ), study further and systematically the analysis and solution. the principle of fuzzy minimum potential energy is established, and the balance equation of fuzzy finite element is reasoned by making fuzzy variation. at the same time, the dynamic balance equation of stochastic by making stochastic variation ， also the fuzzy stochastic dynamic balance equation is deduced. based the theory that the degree of the fuzziness and probability can be measured, in the other word, by using the concept of fuzzy entropy and entropy, pure fuzzy dynamic structure is given through transforming the probability to fuzziness. for the fuzzy parameter can be regarded as a fuzzy vector with dimensions, the structure ' s eigenvalue, by the theory of small parameter

    建立了模糊瞬時最小勢能原理，運用模糊變分原理導出了模糊有限元動力平衡方程；同時，利用隨機變分原理導出了動力問題的隨機有限元方程，同時得到了模糊隨機動力問題的有限元平衡方程。根據模糊度和概率度可以度量的原理，即利用模糊熵和概率熵的概念，把結構的隨機性等效地轉化為結構的模糊性，得到純粹模糊性的動力結構。把結構所具有的模糊參數看作一個維的模糊向量，利用小參數攝動原理，把結構的特徵值，特徵向量和位移都在模糊向量的均值處進行泰勒展開，得到一組遞歸方程，即可以求得結構的模糊特徵值，特徵向量和模糊位移。
  15. The numerical method to solve the equation for spatial amplification theory is described in detail. deduced first - order system equations from spatial instability theory and its eigenvalue problem are solved and neutral lines varied with mach numbers are given

    運用穩定性理論的空間放大理論，建立穩定性方程，得到一個六元一階方程組，然後求解該一階系統，計算並得到不同馬赫數下的中性穩定曲線，基於此得到不同馬赫數下流場的臨界失穩點和穩定區域。
  16. 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。
  17. In chapter 3, the non - linear equation was linearized with the jacobi matrix, and then the linearized equation was transformed into fixed frame to analyze the stability problem with eigenvalue method ( on - ground or hovering ) or floquet theory ( forward flight ). meanwhile, the equation was perturbed by sweep frequency excitation from steady state to get transit decay of lag response which was then transformed into fixed frame with a numerical fourier coordination transformation ( fct ). the fixed frame response along with the body response was analyzed via an fft to determine modal frequencies

    然後，在穩態響應的基礎上利用雅各比矩陣對非線性方程進行了線化，線化后的方程利用多槳葉坐標變換轉換到固定系下后，利用直接特徵值分析（地面、懸停）或floquet理論（前飛）對系統進行了穩定性分析;同時，對系統進行了瞬態響應分析;在系統達到穩態的基礎上進行掃頻激勵，用fft變換求得系統頻率，進而用移動矩形窗方法分析得到系統的阻尼。
  18. 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。
  19. Three eigenvalue problems associated with the same isospectral evolution equation are proposed. the corresponding nonlinearized eigenvalue problems and their relations are studied by the reduction procedure

    摘要通過約化理論，研究了對應于同一離散孤立子方程族的三個離散特徵值問題的非線性化特徵值問題以及它們之間的關系。
  20. The condition under which the dirac operator is self - adjoint is discussed under the general linear boundary condition between the interval of two points. for the expansion theorem of non - self - adjoint dirac operator, it is unable to use the method of integral equation. but under the linear boundary condition and unlocal boundary condition, the eigenvalue expansion problems of non - self - adjoint operator can still be discussed by using the residue method

    對于非自伴dirac運算元的特徵展開定理已無法應用積分方程的方法，本文仍用留數方法對一個兩點非自伴邊界條件和一個非局部邊界條件下產生的非自伴運算元的特徵展開問題進行了討論，分別得到了它們的特徵展開定理。
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