矩陣的階數 的英文怎麼說
中文拼音 [jǔzhèndejiēshǔ]
矩陣的階數
英文
order of a matrix- 矩 : 名詞1. (畫直角或正方形、矩形用的曲尺) carpenter's square; square2. (法度; 規則) rules; regulations 3. [物理學] moment
- 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
- 階 : 名詞1. (臺階) steps; stairs 2. (等級) rank 3. [醫學] (耳蝸的三個螺旋管的任一個) scala 4. [數學] order 5. [地質學] stage
- 數 : 數副詞(屢次) frequently; repeatedly
- 矩陣 : [數學] matrix; array
-
The equations of workspace boundary surfaces for double - octahedron variable geometry truss pmts are derived based on surface analysis method. the projection and section curve grapha of workspace boundary surfaces for double - octahe
推導出了zrps ztps型及m 3tps型並聯機床運動學分析的一階和二階影響系數矩陣,得到了其運動學模型。The elements of the reduced - jacobian matrix are functions of some parameters of the system. for example, effective short ratio, power base ratio, coupling impedance and load flow of the system. for single - infeed hvdc system with a parallel ac line, computer simulations using power system analysis software package ( psasp ) were performed
用一種簡單的方法可以求得降階雅可比矩陣,由於降階雅可比矩陣的元素都是交直流混合系統中一些參數的代數函數,如有效短路比、功率基準比、連接阻抗和系統潮流等,因此,矩陣的特徵值也與這些參數相關。Using the perturbation transfer matrix method as well as the tested data in the laboratory, the 1st and 2nd order perturbed identification of dynamic parameters of the rotor of a boiler pump is made
摘要利用攝動傳遞矩陣法,結合實驗室的試驗,對某電站鍋爐給水泵轉子的動力學參數進行了一階和二階攝動識別。In the present paper, we consider the problems of the conjugacy classes of the torsion matrices of order p or 2p in gln ( f ] and sln ( f ), and we determine the formula of the number of the conjugacy classes in gln ( f ] and sln ( f ] completely
本文給出了p階與2p階幺冪矩陣在gl _ n ( f )和sl _ n ( f )共軛作用下的共軛類個數的遞推計算公式。3. to enrich this model, the paper give out a moment function form of the optimal decomposition - coordination methodology. 4
初步提出了灌區水資源優化調配分解? ?協調遞階模型的矩陣函西安理工大學工程碩士專業學位論文數形式,這使得模型的內容更加豐富化。3. puts forward matrix function form of the decomposition - coordination step model for water resource ' s optimal distribution in this thesis. it makes the model more prolific
3 、初步提出了灌區水資源優化調度分解?協調遞階模型的矩陣函數形式,這使得模型的內容更加豐富化。It exploits the structured of the hessian matrix of the objective function sufficiently. an attractive property of the structured bfgs method is its local superlinear / quadratic convergence property for the nonzero / zero residual problems. the local convergence of the structured bfgs method has been well established
它們充分利用了目標函數的hesse矩陣的結構以提高演算法的效率,該演算法的顯著優點是對于零殘量問題具有二階收斂性而對于非零殘量問題具有超線性收斂性。Using a different method from [ 1 ], we extend the result in [ 1 ] in two ways : the order of the matrices is extended from 2 to that of arbitrary, the base field of the matrices is extended from q to any linerable fields of characteristic not 2
摘要用與[ 1 ]不同的方法,把文[ 1 ]的結論作兩方面的推廣,其一是把矩陣的階數從2推廣到任意,其二是把有理數域推廣到任意特徵不是2的可線性化的域。Compared with the traditional methods of window functions and remez optimal algorithm, the optimum algorithm, the optimum design method in the paper need not compute inverse matrix, thus overcoming the difficulty to compute high - order inverse matrix in remez optimal design method
與傳統的窗口函數法和雷米茲優化設計方法相比,其優化設計方法不需要計算矩陣的逆,因而克服了雷米茲優化設計方法求高階矩陣逆的困難。Based on the multi - scale representation theory, we present a reduced order model for the solving of the inverse problem. also the relative error covariance matrix is used to analyze the performance of models with different orders ; 4
基於小波多尺度表示理論給出逆問題求解的多尺度降階模型,同時用相對誤差協方差矩陣對階數不同的降階模型的估計精度進行分析; 4The paper is built as follows. in chap 1, we introduce the applied context of the minimal norm least square solutions for vandermonde matrix first. the fast algorithm of the minimal norm least square solutions for vandermonde matrix with mxn order and its transpose are presented later through constructing vtv ( or wt ) and seeking their inverses
本文的結構如下:第一章先給出了vandermonde方程組的極小范數最小二乘解的一些實際應用背景,然後通過構造方陣v ~ tv (或vv ~ t )並求其逆矩陣導出了求以m n階vandermonde矩陣及其轉置,以及m n階跳行vandermonde矩陣為系數陣的線性方程組極小范數最小二乘解的快速演算法。Based on the properties of bisymmetric matrices, a class of constrained inverse eigenproblem and associated approximation problem for bisymmetric matrices were essentially decomposed into the same kind of subproblems for real symmetric matrices with smaller dimensions, and the solutions of the two problems were obtained by applying the conclusions of real symmetric matrices
摘要根據雙對稱矩陣的性質,將雙對稱矩陣的一類約束逆特徵值問題及其逼近問題分解成具有較小階數的實對稱矩陣的同類子問題,然後利用實對稱矩陣的結果導出雙對稱矩陣的這兩個問題的解。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。We discuss the connection between the accuracy of approximate matrix and the degree of interpolating polynomials and study the method of estimating the accuracy of the numerical solution
我們討論了近似矩陣的精度與插值多項式的階數的關系,討論了近似解的精度的估計方法。Firstly, a new joint filterbank precoders and decision feedback equalizers structure is proposed, and the corresponding optimization result based on the maximal mutual information criterion is derived. secondly, the concept of dt canonical model is proposed, which is very suitable for the task of blind signal processing based on the second - order statistical of the observations. thirdly, the methods of blind equalization and identification of the tv dispersive channels are researched systematically based on the proposed dt canonical model, and a subspace blind identification algorithm of the time - invariant channel matrix is developed
本文創新性的成果在於:提出了預編碼-判決反饋聯合均衡系統結構,並從理論推導得出了對應的最大互信息量最優化設計結果;首次提出了時變色散通道的離散正則模型概念,該模型適宜於利用觀察數據的二階統計量進行盲信號處理;基於離散正則模型對時變色散通道進行了系統的盲均衡和盲辨識方法研究,提出了對時不變通道矩陣的子空間盲辨識演算法;針對誤差傳播效應問題,提出了可以消除誤差傳播效應的兩級盲辨識演算法;提出了基於離散正則模型的直接盲均衡演算法;提出了基於特徵恢復思想的神經網路直接自適應盲均衡演算法。3 ) give the reduct algorithm and improved algorithm based on discernibility matrices. 4 ) give the algorithm of rules. 5 ) in this thesis, by using rs theory in the synthesis of combinational logic function, we can get minimal expression of logic function ; if by using rs theory in the rough control of boiler, we can get rough control rules
對於前人提出的差別矩陣和差別函數的概念和定義,將其應用於信息系統中,用差別函數得到了最小約簡,然後,通過研究差別矩陣和差別函數的構造過程,提出了對差別矩陣降階和消元的策略,實例證明是有效的,起到了化簡差別矩陣和差別函數的目的; 4First, according to the orthonormal quality and the rational choice of working point of the sonar array three shafts frame, the structure of the models is predigested preliminarily ; secondly, according to the quality indexes and the coupling quality between frames, relatively small quantum is neglected. so the complex non - linear coupling models of the sonar array are predigested farther ; lastly, considering the characteristic of the model coefficient matrix, the methods of the low rank polynomial approach and the error simulation are introduced. so the models are predigested again
首先從聲納基陣框架結構的正交性和工作點的合理選擇出發,使模型的結構得以簡化;其次根據系統性能指標及框架間耦合性強弱,忽略相對小量,對聲納基陣復雜的非線性耦合模型進一步簡化;最後考慮模型系數矩陣的特點,運用低階多項式逼近和誤差模擬的方法,實現了對模型的再次降階簡化處理。And use relative fitting error to measure statistical data non - uniform error ; then introduce the method systematically of using the fuzzy comprehensive evaluation method to carry on the overall superior test of the government statistical data quality. includes the establishment of step level appraisal target system, target weight determination, calculates the factor weight in various levels, uniform test of judgment matrix, and built up the final fuzzy comprehensive evaluation model of the government statistical data quality according to the above - mentioned standard ; finally selects the partial main social economy total quantity target from chinese statistics yearbook 2003 to carry on the real diagnosis analysis : ( 1 ) confirm these social economy total quantity targets using the description statistics and the k - s inspection method to obey the lognormal normal distribution. ( 2 ) according to the two levels of inspection methods which this article proposed to carry on accuracy and the overall superior test for these social economy total quantity targets
本文首先從統計數據及質量的涵義出發,全面系統的介紹了統計數據質量的概念;其次,從研究統計數據的分佈規律入手,對統計數據準確性檢驗問題進行了探討,利用對數正態分佈檢驗對反映研究對象規模大小的統計數據的質量及異常數據進行定量檢查和識別,並利用相對擬合誤差計量統計數據的非一致性誤差;接著系統介紹了利用模糊綜合評價方法對政府統計數據質量進行整體優度檢驗的思路,具體包括建立遞階層次的評價指標體系,指標權重的確定,計算各層次中因素的權重,判斷矩陣的一致性檢驗,並根據上述標準建立了最終的政府統計數據質量模糊綜合評價模型;然後通過從2003年中國統計年鑒資料中選取部分主要的社會經濟總量指標進行實證分析: ( 1 )利用描述統計和k - s檢驗法來驗證這些社會經濟總量指標服從對數正態分佈的規律; ( 2 )按照本文提出的二級檢驗法來對這些社會經濟總量指標進行準確性和整體優度檢驗,從而達到綜合評價政府統計數據質量的目的;最後對這種二級檢驗法的優點和不足進行小結,提出今後應該努力改進的方向。A method of application positive definite matrix to distinguish minimax value of bidifferentiable function
一種用矩陣的正定性判別二階可微函數極值的方法The authors discuss the statistical distributions of multiple - input multiple - output mimo channels over flat rayleigh fading via the order statistics analysis. simplified expressions are derived for expectations of the vector energies when the column or row number is equal to 1 and 2, which is followed by the upper and lower bounds when the antenna number at one side approaches infinite
以順序統計量分析rayleigh平坦衰落mimo通道矩陣各向量能量的分佈特徵,給出其各階矩公式以及列行數為1和2時行列向量的能量期望值的簡潔表達式,並由此推導出通道矩陣的單邊維數趨于無窮時行和列向量能量期望值的上下界。分享友人