等價陣 的英文怎麼說
中文拼音 [děngjiàzhèn]
等價陣
英文
equivalent matrix-
In this thesis, we study some open problems and conjectures about the linear complementarity problem. it consists of the next three aspects : firstly, we study murthys " open problem whether the augmented matrix is a q0 - matrix for an arbitary square matrix a, provide an affirmable answer to this problem, obtain the augmented matrix of a sufficient matrix is a sufficient matrix and prove the graves algorithm can be used to solve linear complementarity problem with bisymmetry po - matrices ; secondly, we study murthys " conjecture about positive semidefinite matrices and provide some sufficient conditions such that a matrix is a positive semidefinite matrix, we also study pang ' s conjecture, obtain two conditions when r0 - matrices and q - matrices are equivelent and some properties about e0 q - matrices ; lastly, we give a counterexample to prove danao ' s conjecture that if a is a po - matrix, a e " a p1 * is false, point out some mistakes of murthys in [ 20 ], obtain when n = 2 or 3, a e " a p1 *, i. e. the condition of theorem 3. 2 of [ 25 ] that a p0 can be deleted and obtain a e " a is an almost e - matrix if a is a co - matrix or column sufficient matrix
本文分為三個部分，主要研究了線性互補問題的幾個相關的公開問題以及猜想： （ 1 ）研究了murthy等在[ 2 ]中提出的公開問題，即對任意的矩陣a ，其擴充矩陣是否為q _ 0 -矩陣，給出了肯定的回答，得到充分矩陣的擴充矩陣是充分矩陣，並討論了graves演算法，證明了若a是雙對稱的p _ 0 -矩陣時， lcp （ q ， a ）可由graves演算法給出； （ 2 ）研究了murthy等在[ 6 ]中提出關於半正定矩陣的猜想，給出了半正定矩陣的一些充分條件，並研究了pang ~ -猜想，得到了只r _ 0 -矩陣與q -矩陣的二個等價條件，以及e _ 0 q -矩陣的一些性質； （ 3 ）研究了danao在[ 25 ]中提出的danao猜想，即，若a為p _ 0 -矩陣，則，我們給出了反例證明了此猜想當n 4時不成立，指出了murthy等在[ 20 ]中的一些錯誤，得到n = 2 ， 3時，即[ 25 ]中定理3 . 2中a p _ 0的條件可以去掉。The invariant ( v ( a ), [ 1a ] ) that we used for unital case is the semigroup of murry - von neumann equivalence classes of projections in matrices over c * - algebras together with the class of the unit
我們用來分類的不變量（ v （ a ） ， [ 1 _ a ] ） （有單位元的情況）是a的矩陣代數中所有投影的murry - vonneumann等價類所成的半群及單位元所在的等價類。With those above, an essential explanation to the simplicity of the representation of rijndael s - box is given, and a direct proof to the equivalence between any two coordinate functions of rijndael s - box is provided, with the equivalence described by only one matrix of order eight over gf ( 28 ). 5
利用這三種方法計算出的域元素分量表達式，解釋了rijndael演算法s盒代數表達式復雜度低的本質原因；給出rijndael演算法s盒分量函數間等價關系的一種直接的證明方法，並用一個八階gf （ 2 ~ 8 ）矩陣完全刻劃這種等價關系。In this paper, we shall give the structure of solutions of eigen equation of a matrix over a distributive lattice and characterize convergence of powers of a matrix over a distributive lattice in terms of the eigen sets
給出分配格上矩陣的本徵方程的解的結構，利用本徵方程的解集給出了矩陣冪收斂的一個等價刻劃By the studying of coincident information in the gray judgment matrix, and by using some graph ' s essential theories, this issue brings forward the concepts of estimating coincidence, coincidence, equivalence gray judgment matrix, gray - weight vector, ect. it also gives out and proves several sufficiency and necessary conditions of the gray judgment matrix existing estimating coincidence or coincidence, and gives out a calculation of judging the gray judgment matrix having estimating coincidence or not, furthermore, we can get the equivalence coincidence gray judgment matrix in its field through this calculation
本文通過對灰色判斷矩陣中的一致性信息的研究，利用圖的一些基本理論，提出了灰色判斷矩陣的擬一致性、一致性、等價灰色判斷矩陣、灰色相對權重等概念，給出並證明了灰色判斷矩陣具有擬一致性或一致性的幾個充分必要條件；同時，給出判斷灰色判斷矩陣是否具有擬一致性的一種演算法，而且通過這個演算法可以求出該灰色判斷矩陣的等價一致性灰色判斷矩陣。Then we give the necessary and sufficient condition under which the optimally weighted ls estimate is identical to thu conditional mean of the parameter given input and observation, i. e., the optimally weighted ls estimate could be optimal nonlinear estimate in the minimum variance sense
在方差陣可逆的條件下，我們發現最優加權最小二乘估計優于線性最小方差估計，進而得到了其與最小方差估計（即條件均值估計）等價的充要條件。3 the concept of equivalence matrix, which expresses equivalence relation in rough set information system, is introduced ; the relations between equivalence matrix and equivalence classes are discussed. the algorithms for data cleaning and rules extraction in knowledge system based on matrix computation are proposed and their complexity of computation is analyzed
3 、在等價矩陣概念的基礎上，分析了粗糙集知識系統中等價劃分與等價摘要矩陣的關系，採用等價矩陣來表示粗糙集的等價關系，提出了一種對數據庫知識系統進行數據清洗以及從中提取決策規則的矩陣演算法，分析了該演算法的計算復雜性。( 2 ) a new method, which can be used to diagnose steam turbine generator - set ' s multiple faults, is brought out. this method, which is based on fuzzy clustering analyze theory, puts standard fault samples and the checked samples together as classified samples and draw a conclusion by using transfer closure based on fuzzy equivalence matrix
（ 2 ）運用模糊聚類分析理論，將標準故障樣本和侍檢數據一起作為分類樣本，利用基於模糊等價矩陣的傳遞閉包法，提出了一種用於汽輪發電機組多故障診斷的新方法。In chapter four, the importance of anti - jamming performance of communication system evaluation is explained firstly. next three fuzzy cluster algorithms such as fuzzy equivalent matrix ( fem ) and fuzzy - c means ( fcm ) methods are proposed for evaluation of anti - jamming communication system. on the bases of fuzzy cluster, the fuzzy pattern recognition application is introduced in communication system
第四章則採用模糊聚類的方法對通信系統的綜合抗干擾性能進行了評估，介紹了包括模糊等價矩陣、模糊c -均值聚類等三種模糊聚類方法的基本原理，在模糊聚類的基礎上，討論了模糊識別在通信中的應用，進一步建立了抗干擾的指標體系。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。In the first part, depending on three or more images, the main research work are listed as follows : ( l ) using svd decomposition to realize projective reconstruction ; ( 2 ) realizing camera self - calibration by solving kruppa ' s equation ; ( s ) recovering euclidean reconstruction from projective reconstruction. depending on only two images, the main researches are : ( l ) making out infinite plane homography matrix by using scene structure information, then recovering affine reconstruction from projective reconstruction ; ( 2 ) making out the absolute conic images by using scene structure information, and then recovering euclidean reconstruction from projective reconstruction
在第一部分中，針對三幅及三幅以上的圖像，主要研究：利用矩陣奇異值分解（ svd ）實現射影重構，通過求解kruppa方程實現攝像機自標定，由射影重構恢復歐氏重構；針對只有兩幅圖像的情況，主要研究：利用場景結構信息求解無窮遠平面的單應矩陣，由射影重構恢復仿射重構，利用場景結構信息求解絕對二次曲線的像（等價于標定攝像機） ，由仿射重構恢復歐氏重構。For the general multivariate linear model, in this paper, the necessary and sufficient condition for admissibility of the linear estimator for sx in the class of linear estimator under different criteria is gained
摘要對於一般未知方差多元線性模型，討論了共同均值矩陣參數的可估函數sx的線性估計在線性估計類中的可容許性問題，證明了在本文所給的不同優良準則下可容許性是等價的，並得到了它們的充要條件。Parts 3 ( chapter4 ) the more precision characterization of the star, left - star, right - star and the minus partial orderings are given respectively, and new necessary and sufficient conditions of ep and hermmite and normal matrices are obtained using the characterization. certain classes of matrices are indicated for which the star, left - star, right - star and minus partial orderings, or some of them, are equivalent
（ 3 ）給出了矩陣的*序、左*序、右*序和減序的更為精細的等價刻畫，從而得到了ep矩陣、指標為1的矩陣、 hermmite矩陣和正規矩陣新的等價刻畫，由此研究一些特殊矩陣類*序、左*序、右*序和減序之間的一致性。The relation between the star and minus partial orderings of the normal matrices and its squares is discussed by using the singular value decomposition of a pair of normal matrices, some sufficient and necessary conditions for the equivalence between the star and minus partial ordering of the normal matrices and its squares are given, furthermore the relation between the star partial ordering of the general matrices and its squares are obtained
摘要本文利用正規矩陣對的奇異值分解，研究正規矩陣及其平方矩陣的星型序和減序之間的關系，給出了正規矩陣及其平方矩陣的星型序等價和減序等價的充要條件，並得到了一般矩陣及其平方矩陣的星型序的一些關系。In part two, the focus is on the stabilizability and detectablity of 2 - d singular systems. necessary and sufficient conditions for stabilizability and detectablity of 2 - d singular systems are obtained respectively, and the relationship between bibo stability and internal stability is discussed based on this conditions. the observer design procedures are also provided
在能穩性和能檢測性部分，用頻域研究方法，分別給出了2 - d奇異系統能穩、能檢測的兩個等價條件，一個是能穩、能檢測的秩判別條件，另一個為bezout恆等式存在穩定的有理函數矩陣解。The enumeration of equivalence class of 3 - nilpotent matrices
冪零矩陣的相似等價類的計數All [ 54, 27, 10 ] binary self - dual codes with an automorphism of order 7 are enumerated, and up to equivalence, there are 533 such codes
摘要給出了有7階自同構的二元自對偶編碼[ 54 ， 27 ， 10 ]的生成矩陣，並且證明了在等價情況下，總共有533種這樣的編碼。Firstly, wall ’ s transfer matrix is deduced by laplace transformation based on 3r2c thermal network model. secondly, frequency response of transfer matrix is calculated. thirdly, we make the frequency response of transfer matrix of stimulation model equate the theoretical frequency response of wall transient heat conduction by applying appropriate identification algorithm, from which we can obtain every polynomial ’ s coefficient of model transfer function, then each parameter of resistance and capacitance is calculated by appropriate optimization algorithm
首先，根據模擬熱流網路模型用拉普拉斯變換推出墻體的傳遞矩陣;然後，計算傳遞矩陣的頻率響應;最後，採用頻域回歸方法求出模型傳遞函數各次項的系數，進而通過一定的優化演算法確定模型的各個熱阻、熱容參數，使通過模型建立的多項式s -傳遞函數與墻體瞬時傳熱的理論超越s -傳遞函數完全等價。A proof that any row - column - finite infinite matrix over a sfield is normal equivalent with an unique classical form is given
摘要證明了除環上每個行列有限的無限方陣必與唯一的正則範式正則等價。Corank and normal equivolent of infinite matrices over a sfield are difined, and a proof that any row - column - finite infinite matrix over a sfield is existence and unique is given
摘要定義了除環上無限方陣的余秩和正則等價，證明了除環上每個行列有限的無限方陣的余秩存在且唯一。分享友人