number theory 中文意思是什麼

number theory 解釋
數論
  • number : n 1 數；數字；〈pl 〉算術。2 （汽車等的）號碼；第…，第…卷，第…期〈通常略作 No （復數 Nos ），用於...
  • theory : n. 1. 理論，學理，原理。2. 學說，論說 （opp. hypothesis）。3. 推測，揣度。4. 〈口語〉見解，意見。
  1. Our goal in this paper will be to review jiang ' s achievements from his disproof of rh to his establishment of the new number theory

    本文的目的是審視蔣（春暄）的成就，自他否定黎曼假設開始，到他創立的新數論。
  2. Not only does go - space provide rich examples, but also go - space buildes a bridge between general topology and related mathem atics branches, such as lattics theory, domain theory, graph theory, real number theory, etc. thus it is very important in theory and reality to study go - space

    在go -空間中，不僅給一般拓撲學提供了精彩豐富的例證，而且架設了一般拓撲學和相關數學分支的橋梁，如格論、 domain理論、圖論及實數理論等等。
  3. German mathematician and astronomer known for his contributions to algebra, differential geometry, probability theory, and number theory

    高斯，卡爾?弗雷德里希1777 - 1855德國數學家和天文學家，因其對代數、微積分幾何、或然率理論和數字理論的貢獻而為人稱道
  4. Some packing cutting related results on number theory

    問題有關的數論結果
  5. The application of number theory in cryptography

    數論在密碼學中的應用
  6. Perfection of the solution to an elementary number theory example

    一道初等數論例題解法的完善
  7. In this paper, the author primarily introduces how elliptic curves have been applied to public key cryptography from algebra and number theory, analyzes the advantage and security of ecc. the work the author has done is : ( 1 ) study the arithmetic of ecc on the encryption / decryption, digital signature and key exchange schemes and analyze their security performance ; ( 2 ) propose a new id - based group signature with existed id - based digital signature and discuss its application in digital cash ; ( 3 ) realize the electronic auction system and key authentication system with ecc

    作者所作的主要工作有： （ 1 ）研究了基於大素數域上的橢圓曲線密碼在加密解密、密鑰交換、數字簽名等方面的密碼協議並分析了每種協議的安全性能； （ 2 ）在現有基於身份的數字簽名方案的基礎上提出了基於身份的群簽名系統並討論了群簽名在數字現金中的應用； （ 3 ）給出了橢圓曲線密碼在電子拍賣系統、密鑰認證系統方面的實現方案。
  8. 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。
  9. A number theory function and its 8 - th power means value formula

    一個數論函數的八次均值的計算
  10. Markov chains are special random process. renently, professor liu wen, who first invented the analysis method in solving large number theory, connected it and markov chains and got some limit properties about one - order markov chains

    劉文教授在大數定律的研究中把首創的分析方法和馬氏鏈結合起來，得出一系列有關一重馬氏鏈的極限結果，本論文繼續並拓廣這方面的研究，相應於一重馬氏鏈，二重馬氏鏈也有其相應的極限性質。
  11. The thesis tried to solve the problem of hanoi tower as that of number theory

    摘要梵塔問題本質上是一個數論問題。
  12. Number theory, an approach through history from hammurapi to legendre

    數論，從漢默拉比到勒讓德的歷史的方法
  13. I would like also to congratulate professor jiang for the simply monumental work he has done in this monograph, work that, to my best knowledge, has no prioroccurrence in the history of number theory in regard to joint novelty, dimension, diversification, articulation and implications

    我願對于蔣教授在這部專著中完成的簡直不朽的的工作表示祝賀，他的這種工作，據我所知，在數論歷史上將新穎、尺度、多樣化、清晰度與含意綜合在一起方面，以前從來沒有出現過。
  14. Qualitative estimation method of equipment life cycle cost based on unascertained number theory

    基於未確知數理論的裝備全壽命費用定性估算方法
  15. This paper has made some analyses, discussions and researches on " low starting point and high qualities " math teaching mode and course building, based on the teaching practices and researches of elementary number theory, and the significance, principles, teaching objectives, teaching requirements and teaching features in the curricular building researches

    本文以《初等數論》的教學、教研為例，在課程建設探索的意義、原則、教學目標、教學要求和教學特點以及具體的建設措施等方面，對「低起點，高素質」的高專數學教學模式和課程建設進行一定的分析、討論和探索。
  16. Asymmetric - key cryptography, which we will discuss in chapter 10, is based on some topics in number theory, including theories related to primes, factorization of composites into primes, modular exponentiation and logarithm, quadratic residues, and the chinese remainder theorem

    我們將在第十章中討論非對稱密鑰密碼學，非對稱密鑰密碼學基於一些數論的論題，這些論題與素數、把復合數分解為素數的因數分解、模指數與模對數、二次剩餘和中國剩餘定理有關。
  17. By the age of 19 gauss had discovered for himself and proved a remarkable theorem in number theory known as the law of quadratic reciprocity

    高斯十九歲已經獨立地發現並證明了數理定理? ?二次互反律。
  18. Some problems related to both combinatorics and number theory

    組合數學與數論間的一些交叉問題初探
  19. In the area of pure mathematics, topics include number theory, abstract algebra, real and complex analysis, functional analysis, differential geometry, topology, and differential equations

    在純數學的范疇，可供選讀的科目包括數論、抽象代數、實和復分析、泛函分析、微分幾何、拓撲學及微分方程理論等。
  20. Although its independence and development were late more relative to some other antique mathematical course such as analytics, algebra, euclidean geometry and number theory, through over one hundred years, especially the vivid development from the 1940s to the 1970s, general topology are getting increasingly mature and perfect

    雖然它的獨立與發展相對于其他一些古老的數學學科如分析學，代數學，歐氏幾何學和數論要晚了許多，但經過一百多年，特別是20世紀40年代到70年代的蓬勃發展，一般拓撲學日趨成熟與完善。
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