陣的譜 的英文怎麼說

中文拼音 [zhèndepǔ]
陣的譜 英文
spectrum of a matrix
  • 陣 : Ⅰ名詞1 （作戰隊伍的行列或組合方式） battle array [formation]: 布陣 deploy the troops in battle fo...
  • 的 : 4次方是 The fourth power of 2 is direction
  • 譜 : Ⅰ名詞[書面語]1 （按類別或系統編成的書或冊子等） table; chart; register 2 （指導練習的格式或圖形）...
  1. The inconsistent excitation can be decomposed into a series of irregular incident waves in terms of the spectral decomposition scheme of the hermitian matrix, with which the coherency function of the ground motions under the inconsistent excitation can be obtained numerical results are given to show its stability and rationality

    該方法將隨機輸入下的波動分析問題轉換為多個虛擬激勵下的確定性波動分析組合問題，從而可以方便地獲得場地波動觀測量之間的譜密度矩陣，進而計算給出工程場地的地震動相干函數本文還用數值模擬的辦法對所提出方法的合理性和穩定性進行了探討。
  2. The spectral analysis of non - orthogonal functions cannot be obtained by orthogonal integration method. only the spectral analysis of some particular non - orthogonal functions can be realized by integral transformation. thus, the concept of reflection matrix is proposed and the mirror symmetry of spectral analysis for non - orthogonal function is revealed. any element functions whose reflection matrix can be obtained possesses its inverse element function. the spectral vector corresponding to an element function possesses its inverse spectral vector corresponding to the inverse element function. by reflection matrix the mapping relation of element function pair and spectral vector pair can be established. spectral analysis of non - orthogonal functions can be obtained with this symmetry by using the integration method as in the case of orthogonal functions, instead of calculating the inverse matrix as usual. so a convenient and practical method for spectral analysis of non - orthogonal functions is offered

    非正交函數不能利用正交積分來實現譜分解.僅有某些特殊的非正交函數可以通過積分變換實現譜分解.本文提出了反射陣的概念，揭示了非正交函數譜分析的鏡像對稱性.任何能夠建立起反射陣的元函數存在著它的逆元函數，並且任何基於該元函數的譜向量同時也存在著基於逆元函數的逆譜向量.元函數對與譜向量對通過反射陣建立映射關系.利用這種對稱性，非正交函數可以象正交函數一樣使用積分方法獲得譜分解結果，而不必使用求解逆陣的方法，從而為非正交函數的譜分解提供了便捷、實用的方法
  3. For the given sample points, and matrix formed by covariance function with sample points as parameters, when the number of sample points approaches infinite, it is proven that this matrix spectrum will approach the spectral approach theorem for positive - definite kernel of integral equation

    對給定的樣本點，由樣本點為變量的協方差函數構成的矩陣，當樣本點個數趨于無窮大時，證明此矩陣譜逼近於積分方程正定核的譜逼近定理。
  4. Based on the propagation law of the cross - spectral density function in the space - frequency domain, the properties of polychromatic vector gsm beams through a paraxial optical abcd system are studied. the analytical propagation expressions for the cross - spectral density matrix of vector gsm beams passing through a paraxial optical abcd system are derived, which permits us to study the propagation properties of vector gsm beams, including the propagation - induced polarization changes, effect of the spectrum bandwidth and irradiance distributions in a unique way. there are some applications of the theoretical results

    基於空間一頻率域中交叉譜密度函數的傳輸理論，研究了多色矢量gsm光束通過abcd光學系統傳輸時偏振特性的變化規律，首次推出了矢量高斯一謝爾模刑fgsm ）光束通過近軸abcd光學系統交叉譜密度矩陣的傳輸公式，並對矢量gsm光束傳輸中偏振的變化、譜寬的影響和強度的分佈等進行了統一研究。
  5. Spectrum interpolation method of discrete system matrix

    離散系統矩陣的頻譜插值法
  6. It was found that the simple triangular shape distribution would cause " two - peaked " energy distribution near the threshold energy, which must affect the group transfer matrix

    閾能處三角形能譜分佈的近似描述，導致產生了群散射矩陣的「雙峰」現象，而閾能處矩形能譜分佈使平均次級中子能量（
  7. On the spectral completion of operator partialmatrices

    一類缺項運算元矩陣的譜補問題
  8. The mutual coupling between elements is expressed in terms of the normalized impedance matrix of the uniform linear array, the concise expressions for the optimized weight of the lms algorithm and the signal - to - interference - plus - noise ratio are given. the effect of mutual coupling on the performance of the sinr is illustrated with two examples, a method for compensating the mutual coupling is present, the compensation effect of this method is verified by example

    用譜分析法，把陣元問的互耦用陣列的歸一化阻抗矩陣來描述，推導了均勻線陣的最佳權矢量及信號干擾噪聲比的表達式，模擬計算了互耦對自適應天線陣列的信號干擾噪聲比的影響，給出了一種校正互耦的方法，數值模擬了校正的效果。
  9. Using matrix theory, we present a sharp upper bound on the spectral radius of digraphs and strongly connected diagraphs

    摘要利用矩陣理論，給出了簡單有向圖的譜半徑可達上界和強連通有向圖的譜半徑上界。
  10. A important result is the one - orde r expression of ar ( p ) yt = dyt - 1 + e, from paralleling a high - order differential equation transformation into a one - order differential equation system, the one - order expression exposes that the ar ( p ) is only a certain more - multivariable power series process and, if a process is described as an ar ( p ), the sufficient and necessary condition is the spectrum norm a of the coefficient matrix d less than one. simplification of ar ( p ) not only brings about orthogonal f ( h ) but also provides global foretelling formula

    作者用高階微分方程化一階微分方程組的方法，獲得多元弱平穩序列p階自回歸模型的一步滑動平均表達式，證明了ar （ p ）的是一個更高維的冪級數的線性過程，從而，說明了ar （ p ）關于序列依概率成立的充要條件是：該模型更高維的冪級數的線性過程的表達式中系數矩陣d的譜范數1 。
  11. In the first part, we study three kinds of pre - conditioners - - block - triangular preconditioner, constraint preconditioner and block - diagonal preconditioner respective1y and fast iterative so1vers for indefinite 2 by 2 b1ock linear systems with zero ( 2, 2 ) block. the spectrum and form of eigenvalues of each preconditioned nlatrix are presented. all of the three kinds of preconditioned linear systems are so1ved by gmres ( 20 ) and theii efficiencies are cornpared

    在第一部分中，我們研究了三種不同的預條件矩陣一塊三角預條件矩陣、約束預條件矩陣和塊對角預條件矩陣作用到2 2塊線性系統（其中右下角塊為零）以後的快速迭代解法，給出了預條件作用后系統的特徵值的譜和形式，比較了三種不同預條件作用后採用cmres （ 20 ）方法求解的有效性。
  12. The spectral radius of laplacian matrices of graphs

    矩陣的譜半徑
  13. Using the theories of probability, algebra and number theory comprehensively, we investigate a class of boolean functions with three - valued walsh spectrum in the first part of this dissertation : the properties of the extended semi - bent functions, which are constructed from any two bent functions, are studied, followed by the structure characteristics of the boolean functions satisfying propagation criterion with respect to all but two vectors ; the definition and cryptographic properties of k - order quasi - bent functions are proposed whose walsh spectrum takes on only three values. some sufficient and necessary conditions are offered to decide whether a boolean function is a k - order quasi - bent function ; a special method is presented to construct the k - order quasi - bent functions, whose cryptographic properties are explored by the matrix method, which is different from the method of walsh spectrum and that of autocorrelation of boolean functions ; the application of this kind of boolean functions in the fields of stream cipher, communications and block ciphers is discussed, which shows the great importance of the fc - order quasi - bent functions ; some methodology are proposed to construct the k - order quasi - bent functions, including the complete construction by using the characteristic matrices of boolean functions, and the recursive method by two known k - order quasi - bent functions we further extend our investigation to the ring zp, where p is a prime, and the similar results are presented as far as the p - valued quasi - generalized - bent functions are considered

    本文首先綜合運用概率論、代數學、數論等基礎學科的理論知識，並以頻譜理論作為主要研究工具，對一類譜值分佈相對均勻的函數? ?廣半bent函數、 k階擬bent函數和p值k階擬廣義bent函數進行了系統、深入的研究，給出了廣半bent函數定義，並探討了廣半bent函數的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的定義及等價判別條件；討論了k階擬bent函數和p值k階擬廣義bent函數與部分bent函數和p值廣義部分bent函數的關系，探討了它們的密碼學性質；給出了k階擬bent函數和p值k階擬廣義bent函數的典型構造方法，並將對k階擬bent函數的密碼性質的研究轉化到對一類特殊的矩陣的研究上；利用布爾函數的特徵矩陣原則上給出了k階擬bent函數的一種完全構造方法，還給出了從已有的p值k階擬廣義bent函數出發，遞歸構造變元個數更多的p值k階擬廣義bent函數的方法；初步探討了k階擬bent函數在序列密碼、分組密碼以及通信中的應用；給出了一類布爾函數walsh譜的分解式，並利用這類布爾函數的walsh譜分解式給出了一類近似穩定的布爾函數的構造，特殊情形下為k階擬bent函數；利用代數數論的知識考察了p值k階擬廣義bent函數的譜特徵，並給出了k階擬廣義bent函數與所有仿射函數的符合率特徵等等。
  14. Fortunately, we can solve this problem by using ap ( alternating projection ) algorithm, by this way ; the computational load can reduce dramatically. doa estimation is mostly research base on linear array, because of the limitation of linear, it can estimate the azimuth only ; solid array can estimate the azimuth and elevation, in this paper, the solid array is used for doa estimation ; when the signal sources are uncorrelated, the music algorithm is chosen, using mdl / aic algorithm, we attain the signal number of sources

    本文採用立體六元陣進行測向，在非相干信號源條件下，採用music演算法進行doa估計，採用基於信息論原理mdl準則或者aic準則判斷信號源數目，通過對陣列流形的研究，指出基於圓陣的陣列流形具有的某種對稱性，利用該對稱性來降低運算量，並且通過對演算法的研究，提出用維數較小的信號子空間或噪聲子空間來計算空間譜，進一步減小music演算法運算量。
  15. Through the i 、 q component of ipix radar sea clutter data " s histogram analyses and by skewness and kurtosis computed, it is been shown that sea clutter amplitude is not rayleigh distribution ; through the comparison of amplitude histogram and distributed models with the same parameters, it is been shown that hh polarization clutter is lognormal distribution, whereas vv polarization is k - distribution ; at the same time the correlation function and power spectrum density are been analyzed, at last the correlation compound k - distribution stochastic sequences whose covariance matrix is been given are been generated through sirp algorithm

    文中先介紹了海雜波幅度的有關模型，通過對ipix雷達海雜波數據的i 、 q分量的直方圖以及傾斜度和峰度進行了分析和計算，證明了海雜波幅度不服從瑞利分佈;使用幅度直方圖和相同參數下的各種分佈模型進行比較，得出hh極化符合對數正態分佈，而vv極化服從k -分佈的結論;同時對海雜波的相關函數和功率譜進行了分析，最後使用sirp演算法產生了給定協方差矩陣的相關復合k -分佈隨機序列。
  16. Spectral analysis of the matrices over quaternionic sfield

    四元數矩陣的譜分析
  17. In this paper, we consider the optimal parameter vector a of the modified incomplete gauss _ seidel method ( migs ). we prove that the spectral radius function of the iterative matrix t of migs with parameter vector is strictly monotonic decreasing with respect to a satisfying 0 e if the classical gauss _ seidel method converges for a z _ matrix. some properties of the left and right eigenvectors corresponding to the largest eigenvalue in modulus are given, too. these results are useful to find an optimal parameter for migs

    目前主要的方法有兩類：一是充分利用所給矩陣a的特點，採用適當的主元素選取策略，使分解出的因子盡可能地保持稀疏性；二是迭代法。對于第二種方法，迭代矩陣的選取具有決定作用。只有選取的迭代矩陣的譜半徑小於1才能保證迭代法收斂。
  18. Instead, there needs to store only the original coefficient matrix, some auxiliary matrices for the preconditioner and several vectors in the iteration methods. further, the core of the iteration is the matrix - vector multiplication and the solution of the auxiliary equations corresponding to the preconditioner. if the solution of the auxiliaries spend not very much, the computational cost in each iteration step will be very cheap, due to the fact that the sparsity of the matrix can be exploited sufficiently

    與直接法相比，迭代法只需存儲原系數矩陣、對應于預處理的幾個輔助矩陣與少量幾個向量，且迭代中除求解輔助線性方程組外，其餘的計算主要是稀疏矩陣與向量乘積，從而能充分利用稀疏性減少計算量，但迭代法的收斂速度一般與系數矩陣的譜分佈有關。
  19. Block h - matrices and spectrum of block matrices

    矩陣與塊矩陣的譜
  20. With the spectral theory of matrices, three sufficient algebraic criteria have been developed for the above multiple - delay linear difference systems. the key of the criteria is to verify that the sum of the spectrum or norm of system matrices is less than 1

    藉助矩陣的譜理論，獲得了上述多時滯線性差分系統的充分代數準則，其核心是判定系統矩陣的譜或范數之和小於1 。
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