definition of algebra 中文意思是什麼

definition of algebra 解釋
代數的定義
  • definition : n. 1. 限定。2. 定義，界說。3. 明確。4. （透鏡的）明晰度。5. （收音機的）清晰度。6. （印花）輪廓。
  • of : OF ＝Old French 古法語。
  • algebra : n. 代數學。
  1. 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。
  2. This paper discusses the polygon medial axis definition of gis and calculation geometry, and their main distinguishing feature, pointes out that the polygon medial axis should be the locu of the equal - distance points to two or more edges of the polygon ; analyzes the relevant different algorithm and cases in practice, and proposes the geometry means in theory relatively rigid and widely meeting the requirements in practice - dotted pair rank method and the map algebra polygon medial axis method, utilizes them to offer several polygon medial axis calculation examples

    摘要比較了當前國內外gis中和計算幾何中關于多邊形中軸的定義，討論了它們的主要特點，指出多邊形中軸應是到兩個以上邊距離相等點的軌跡，並據此分析了相應的各種演算法和實際應用場合，提出了理論上較為嚴密、能夠廣泛滿足實際應用需要的幾何方法點對序列法和地圖代數多邊形中軸法。
  3. The definition of work suggests a third process of vector algebra, namely, scalar multiplication of two vectors.

    功的定義用到矢量代數的第三種運算，即兩個矢量的標積。
  4. 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
  5. 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。
  6. The second part builds a new algebra syetem rl, which in the definition of bl - algebra gets rid of the stronger condition and studies the properties of rl - algebra. in the same time, using rl - algebra as the true - value field this paper builds a more extentively formal deductive system of fuzzy prepositional calculus - - - - - - logic system rl. obtains a series of theorems, and studies the completeness of rl logic

    第二部分：在以bl邏輯為背景的bl代數的定義中去掉限制性較強的條件a b = a （ a b ） ，建立了一種新的代數系統rl ，並進一步研究了rl代數類的性質；以rl代數為賦值域建立了一種更為廣泛的模糊命題演算的形式系統? ?剩餘格值邏輯系統rl ，得到了一系列定理，同時研究了邏輯系統rl的（弱）完備性
  7. In the third part, this paper studies the mp filters of mtl algebras from many respects. it gives the definition of maximal mp filters, provides the equivalent condition of maximal mp filters, depicts the structure of the subalgebras of mtl algebras, discusses locally finite mtl algebras ; studies the boolean filters of mtl algebras, proves if f is a boolean filters of m which is an mtl algebra, then m / - f is a boolean algebra and discusses local mtl algebras

    第三章：從多方面研究了mtl代數的mp濾子，給出mtl代數極大mp濾子的定義；找出了是mtl代數極大mp濾子的等價條件；對mtl代數的子代數給予刻劃；還討論了局部有限mtl代數；研究了mtl代數的布爾濾子；證明了當f是mtl代數m的布爾濾子時， m f是布爾代數；還討論了局部mtl代數。
  8. We present the definition of schubert submodules and what m. e. hall has done. chapter 2 is preliminaries. we cite some relevant lemmas to introduce the properties of w, which is an element in weyl group of a lie algebra

    第二節是概念和背景知識，主要是給出一些本文用到的概念及符號，以及一些本文用到的與w的性質相關的引理；並著重介紹引理2
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