class of algebra 中文意思是什麼

class of algebra 解釋
代數類
  • class : n 1 階級;社會等級。2 學級；班級，年級，級，班；組；（有組織的）講習班；〈美國〉同年畢業班；【軍事...
  • of : OF ＝Old French 古法語。
  • algebra : n. 代數學。
  1. Simply connected algebra of representation - finite have been thoroughly studied, since bongartz and gabrie studied it. but the knowledge of simply connected algebra with representation - infinite type is very poor, only some special class of it was carefully invesitigated

    有限維代數的單連通性與覆蓋理論的關系十分密切，自bongartz和gabriel開始對有限表示型單連通代數研究以來，單連通代數在有限表示型的情形得到了徹底的討論。
  2. We prove that m has property ( p ) if and only if ( 11 ) let m be as in ( 10 ) then m and every weakly closed subspace including m have proverty ( p ) if and only if for any t b ( h }, there exist x, y h. such that ( 12 ) let a be a completely distributive subspace lattice algebra acting on a hilbert space, then the rank one subalgebra of a is dense in a if and only if, the weak closures of the first and the second preannihilators of a in the space of all trace class operators are reflexive

    一弱閉運算元空間，稱州具有性質（ p ） ，如果州中秩一運算元生成的子空間在期中a一弱稠密.我們證得:川具有性質（ p ） ，等價于州: = { t丁扭） : tx任[州上習， z任火} . （ ll ）設川如（ l0 ）所述，則川以及包含川的每個a一弱閉子空間都具有性質（ p ） ，當且僅當，對任意t任側喲，都存在x ， ，任火使得t一x y州
  3. 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。
  4. Using them, we divided the necklace words into 5 classes, namely : a, b, c, d and e. we also discuss a natural involution of necklace lie algebra. in section 1. 3, taking the advantage of the classification by the index arrays, pointed out the space spanned by class a, b, c respect ! vivety are subalgebras of nq

    2節中，我們對項鏈字引入左右指標數組，利用它們把項鏈李代數n _ q的基分成了a ， b ， c ， d ， e5類。我們還討論了由重箭圖自然自同構導出的李代數的一個自然的對合。在1
  5. In this paper we discuss the hopf structure of a class of skew group algebras, characterize some properties of an important skew group algebra

    本文討論了一類斜群代數的hopf結構，刻劃了一個重要的斜群代數的某些性質，得到的主要結果如下：命題1
  6. 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。
  7. We first present the decomposition of finite rank operators and trace class operators in a weakly closed nest algebra algn - module. secondly, the same question for finite rank operators in the preanm ' hilator of an atomic boolean lattice algebra is considered. ( 6 ) let n be a nest on a hilbert space h. and u be any weakly closed algn - module

    在第三章中，我們首先討論了弱閉套代數模中的有限秩運算元和跡類運算元的「保跡范數可加性分解」問題，然後研究了原子boolean格代數的預零化子中的有限秩運算元，得到（ 6 ）設n是hilbert空間h中的一個套， u是任一弱閉algn -模。
  8. The assignments will have both theoretical and computational questions. the preferred language of this class ( and of numerical linear algebra, in general ) is matlab ?

    作業含理論的問題，同時也有使用電腦來解答的問題。本課程建議採用的語言（也是一般數值線性代數所採用的語言）是matlab ? 。
  9. In the fifth chapter, we use the the methods of function theory establised a class of analytic reproducing kernel space, we call it a generalized arveson space. we study the relationship of these space, and obtain some intersting results, we also defined toeplitz c * - algebra on the generalized areveson space, obtain some results of toeplitz c * - algebra on the generalized areveson space

    在第五章中，我們利用函數論的方法建立了更廣泛的一類解析的再生核空間，稱之為廣義arveson空間，討論了它的一些關系，並得到了一些有趣的結果。還定義了廣義arveson空間上的toeplitzc * -代數，建立了廣義arveson空間上的toeplitzc * -代數的一些性質。
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