矩陣的階 的英文怎麼說
中文拼音 [jǔzhèndejiē]
矩陣的階
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
- 矩陣 : [數學] matrix; array
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Based upon virtual displacement method and the updated - lagrangian approach, stiffness matrices for two - dimensional elastic - plastic beam model in large displacement were proposed, in the derivation of which transverse stress was included because it was believed that part of the 2nd order effects of various stresses, which are in equilibrium with each other and with the external loads, will counteract each other and neglecting either part would possibly lead to incorrect results
利用虛位移原理和更新的拉格朗日方法,導出了大位移彈塑性梁單元剛度矩陣的顯式表達式,在剛度矩陣推導中引入了截面內非線性剪應力和橫向應力的影響,剛度矩陣通過了剛體檢驗。之所以要引入橫向應力的影響,是因為本文認為,保持平衡所需的所有應力,它們各自的二階效應會相互抵消,因此忽略其中的任何一項都可能導致不正確的結果。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。Properties of 2m 1 order generalized anti - centro - symmetric matrix
1階廣義中心對稱矩陣的性質Seafloor sediment classification using a neighborhood gray level co - occurrence matrix
基於鄰域灰階共生矩陣的海底沉積物分類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。The cable - strut tensile structures are the self - stress equilibrium systems composed by tensional cables and struts. in this paper, the basic concept of the structures was described. the analysis methods of the structural characteristics ( statically and kinematically determinate or indeterminate ) and the geometrical stability were presented. it is indicated that the cable - strut tensile structures are in stable equilibrium with first - order infinitesimal mechanisms. the ranks of equilibrium matrix were calculated by employing the singular value decomposition, and the independent modes of inextensional mechanisms and the states of self - stress were also obtained in the same way. this paper contains some typical examples which illustrate all of the main points of the work
索桿張力結構是指由張力索和壓桿組成的、具有預應力自平衡的新穎結構體系.本文詳細闡述這種結構的基本概念和結構特徵,討論結構靜動定體系特性和幾何穩定性判定分析方法,指出索桿張力結構應具有一階無窮小機構的幾何穩定體系.文中採用奇異值分解方法計算結構平衡矩陣的秩,並計算獨立機構位移模態和自應力模態.最後,對幾種典型的索桿張力結構進行了算例分析Order of a matrix
矩陣的階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。The connection matrix of a network is usually large and sparse. in this article, the auther brought forward a method to reduce the connection matrix order, which was help for saving operation time and space when it is stored in computer
通過引進矩陣運算元並藉助于矩陣的分塊運算,針對網路聯絡矩陣的稀疏性,提出一種含表決系統的網路聯絡矩陣的降階方法,節約了演算法的運行時間和存儲空間。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; 4Based 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。We studied the multimode coupling matrix of the key waveguide discontinuity, waveguide step, with the modal fields expansions in waveguides. and obtained the relations with the multimode coupling matrix, the generalized admittance matrices and the generalized scattering matrices. we have compiled some subroutines in fortran 95 programming language to compute the multimode coupling matrix, admittance matrices, scattering matrices and their operates with each other
並利用fortran95程序設計語言編寫了用來計算波導階梯的多模耦合矩陣、多模耦合矩陣與廣義導納矩陣的級聯、廣義導納矩陣之間的級聯以及廣義導納矩陣和廣義散射矩陣之間的互相換算等的矩形波導平面不連續性模式分析的子程序。And for geometrically split link, sharp integrality of the ohtsuki invariant is given. a new multiplicative group, braid array, is constructed through a series of basic changes in the second part, and we conclude that any tame knot or link can be represented by finite braid array
第二部分,由於辮子群與紐結理論的密切聯系,本文構造了一個類似於矩陣的乘法群? ?辮子陣群,並給出了它的一系列基本變換,且得到所有溫良紐結或環鏈都可由有限階辮子陣惟一表示。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。We researched the feasibility of the technique. realized the technique on tigersharc ts101 ez - kit system and got a preferable effect. resovled a problem of matrix inverse by selecting a inverse algorithm applied on low order and high density martrix
在工程實現中的一個關鍵問題即矩陣求逆的問題上,研究並選擇了一種低階高密度矩陣的求逆的工程演算法。For the difficulty of getting transition probability matrixes in various directions in markov chain models, the paper presents a method to figure out it, which makes getting transition probability matrixes of different neighborhood systems of markov chain models easier and more feasible
摘要針對在油氣儲層隨機模擬中馬爾可夫鏈模型的不同方向的轉移概率矩陣求取困難的問題,提出一種二維剖面中不同方向的轉移概率矩陣求取方法,這種方法的提出使得不同階次的各向同性和各向異性的鄰域系統的轉移概率矩陣的求取變得容易可行。Recently, clusters with distributed memory are popular for parallel computing systems, and mpi is the actual standard of message passing programming. therefore, the application of clusters based on mpi to computational electromagnetics is studied in this dissertation. the methods are mom based on the integral equation method in conjunction with the preconditioning technique to speed up the iterative solution and a matrix order reducing method, namely the characteristic basis function method ( cbfm )
目前,分散式內存的集群系統是并行計算系統的主流系統, mpi是消息傳遞編程實際上的標準,本文即研究了基於mpi的集群技術在計算電磁學中的應用,採用的方法主要是基於積分方程的矩量法,並結合了加速迭代的預條件技術以及一種矩陣降階方法? ? cbf方法。分享友人