algebra of matrix 中文意思是什麼
algebra of matrix
解釋
矩陣代數-
Matrix proofs of several theorems in linear algebra are given
摘要給出了線性代數中幾個定理的矩陣證法。 -
A rectangular array of elements, arranged in rows and columns, that may be manipulated according to the rules of matrix algebra
由橫排成行、縱排成列的元素組成的一種矩形陣列，可按矩陣代數規則對其進行運算。 -
The aim of this paper is to given an explicit description of the derivations and automor phisms of a matrix algebra over a commutative ring with identity
摘要決定了含幺可換環上一類矩陣代數的所有導子和所有自同構。 -
Modern control theory has arisen with the advent of high - speed digital computers and characterized by the state variable concept with emphasis on matrix algebra and with analysis and design principally in the time domain
現代控制理論是隨著高速數字計算機的出現而產生的，主要特點是使用狀態變量的概念並強調矩陣代數和主要在時間域進行分析和設計。 -
In this paper we first give the definition of a type of block upper triangular matrix algebras and then characterize linear surjective maps that preserve rank one from one block upper triangular matrix algebra of this type to another
本文的主要結果是確定了一類分塊上三角矩陣代數的保持秩一的線性滿射。本文首先定義了一類分塊上三角矩陣代數（ c ） ，然後確定了保持秩一的線性滿射。 -
Using matlab and its add - ons simulink, through establishing simulation maths model, the paper integrates open chain vector equation ( describing motion restriction ), numerical value simulation ( computing velocity and displacement while given acceleration ) and matrix algebra, etc. to accomplish dynamic simulation for the robot and verifies the results for kinematics of the robot using analysis method, and it establishes foundation for following study for the robot such as kinetics, control, etc
利用matlab及其附加軟體simulink ，通過建立模擬數學模型，綜合開環矢量方程（描述運動約束） 、數值模擬（在加速度已知時計算速度和位移） 、以及矩陣代數等來完成機器人動態模擬，對所研究的機器人運動學分析結果進行驗證，結果基本一致，為機器人的后續研究，如動力學，控制等奠定基礎。 -
A sufficient and necessary condition for determining singularity of a block circulant matrix over a quaternion division algebra over a field is given, and two algorithms for the inverse of a nonsingular block circulant matrix over the quaternion division algebra are presented
?給出了域上的塊循環矩陣可逆性的充要條件及其逆矩陣的演算法。 ?給出了四元素可除代數上的塊循環矩陣可逆性的充要條件及其逆矩陣的兩種演算法。 -
According to the principle of generation of prime number through boolean algebra logic operation and phase angle matrix analysis of the periodic function it comes out that any even number larger than 4 can be expressed as the sum of two prime numbers ， i. e. “ 1 + 1 ” is tenable, and thereby finishes demonstration of the validity of goldbach ' s conjecture
根據素數的形成機理，從布爾代數的邏輯運算和周期函數的相角矩陣分析，都得出了大於4的任何偶數都可表示成兩個素數之和即「 1 + 1 」成立，從而完成了哥德巴赫猜想成立的論證。 -
For the integrable model, after reviewed the construction of one important integrable model, the 1 - d su ( n ) hubbard model, we constructed the tetrahedral zamolodchikov algebra, then proved the r - matrix of the model satifies the yang - baxter equation
對可積模型，在回顧了一種重要的可積模型- 1維su （ n ） hubbard模型的構造后，我們給出了該模型的tetrahedralzamolodchikov代數，並用此代數證明了該模型r -矩陣所滿足的楊- baxter方程。 -
According to the partitions of strongly connected subclass, class and calculation of framwork matrix in the interpretive structural modeling ( ism for short ) processes, using bpsm and analyzing object to be modeled, the paper firstly analyses the system modeling objects, and then determines an viable structural model for enterprise internet marketing processes through system analysis, algebra analysis and system modeling theory
本文根據系統分析、代數分析和系統建模理論，應用業務流程結構化建模技術與方法，分析系統建模對象，通過解釋結構建模（ ism ）過程中的強連通子集劃分、級別劃分和骨架矩陣的計算，為企業網上營銷過程確定了一個合適的結構模型。 -
The traditional methods are to solve the linear algebra equations directly, based on matrix factorization such as lu decomposition. with this kind of methods, the " true " solution can be derived if there is no consideration of the round error
解線性代數方程組的傳統方法是利用lu分解等直接求解，雖然傳統方法具有理論上直接得到真解的優點，但當系數矩陣條件數很大時，存在嚴重的穩定性問題。 -
Algorithms for the minimal polynomial and the inverse of a given block symmetric circulant matrix over a group algebra of a finite group over a field are presented. and a method of determining singularity of this block symmetric circulant matrix is given
?給出了求域上有限群的群代數上的塊循環矩陣的極小多項式的演算法，西安電子科技大學博士學位論文:多項式代數及其應用奇異性判別法及其逆矩陣的求法 -
The definition of a mixed block matrix is given, and an algorithm for the inverse of a given mixed block matrix over a group algebra of a finite group over a field is presented, and a method of determining singularity of this mixed block matrix is given
?給出了域上有限群的群代數上的塊對稱循環矩陣的奇異性判別法及其逆矩陣求法. ，定義了域上有限群的群代數上的混合塊矩陣，並給出了它的可逆性的判別法及其逆矩陣的求法 -
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。 -
Polynomial lie suhalgebras of the inifinite matrix lie algebra
無限矩陣李代數的多項式李子代數 -
( 1 ) r - rnatrix, new involutive system and involutive solutions of bargman constraint flow of generalized dirac hierarchy are found ; ( 2 ) higher - order constraint conditions and integrabie constraint flows of guo ' s hierarchy and their lax representations and r - matrix axe given ; ( 3 ) it is shown that first constraint flow of dirac hierarchy is separability and its separation equation is presented. in chapter 8, we propose a new implicitly loop algebra. new lax integrabie couplings of the famous tc hierarchy are obtained by using the new spectral problem in thi
第七章討論了高階約束流、對合系統、 r -矩陣和變量分離性： （ 1 ）給出了一個廣義dirac族的bargman約束流的r -矩陣，一個新的對合系統和解的對合表示； （ 2 ）給出了與guo族有關的高階約束條件及其可積的約束流（ hamilton系統） ，及其lax表示和r -矩陣； （ 3 ）證明了dirac族的第一約束流的可分離性，並且給出了它的分離方大連理工大學博工學位論文程 -
Basic linear algebra in matlab ?. vector and matrix addition and multiplication. solving sets of linear equations using matrices
使用matlab軟體中的基礎線性代數、向量和陣列的加法與乘法，以及使用陣列解決多組線性方程式。 -
Approaches to the blooean matrix and ei algebra representation of concepts
代數表示與布爾矩陣表示的研究 -
So the third … the algebra way of looking the problem is the matrix form, in using a matrix that i ' ll call it a
所以第三…用代數的方法審視這個問題是使用我稱之為a的矩陣表示的矩陣表格。 -
The basic properties of matrix subalgebra were investiaged, the matrix subalgebra was generated by a single matrix, all maximal ideals were classified, the necessary and sufficient conditions for the subalgebra to be semisimple algebra were given
摘要研究了由一個矩陣生成的拒陣子代數的基本性質，給出了其極大理想的完全分類及這類子代數是半單代數的充要條件。
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