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標(biāo)題: Titlebook: Number Theory in Science and Communication; With Applications in Manfred R. Schroeder Book 19841st edition Springer-Verlag Berlin Heidelber [打印本頁]

作者: 貪吃的人    時(shí)間: 2025-3-21 19:41
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作者: 刪減    時(shí)間: 2025-3-21 20:28
Book 19841st editione immemorial to be the very paradigm of pure (some would say useless) mathematics. In fact, the Chinese characters for mathematics are Number Science. "Mathematics is the queen of sciences - and number theory is the queen of mathematics," according to Carl Friedrich Gauss, the lifelong Wunderkind, w
作者: Accord    時(shí)間: 2025-3-22 00:44
Linear Congruencesual? Obviously, being 25 hours late is as good (or bad) as being only 1 hour late. In other words, in a . event an extra day, or even several, makes no difference. The mathematics that deals with this kind of situation is called ., because only remainders . a given integer matter.
作者: Audiometry    時(shí)間: 2025-3-22 06:08
Diophantine Equationsmathematical schooling. Ironically, though, Diophantine equations play an ever-increasing role in modern applications, not to mention the fact that some Diophantine problems, especially the unsolvable ones, have stimulated an enormous amount of mathematical thinking, advancing the subject of number theory in a way that few other stimuli have.
作者: Ambiguous    時(shí)間: 2025-3-22 10:51

作者: 主動脈    時(shí)間: 2025-3-22 16:32

作者: fatuity    時(shí)間: 2025-3-22 17:05
Primitive Rootsgon. These same concepts also allow us to see why the decimal fraction of 1/7 has a period of length 6, while the decimal fraction for 1/11 has a period of only 2. And why does 1/99007599, written as a binary fraction, have a period of nearly 50 million 0’s and l’s? We shall see!
作者: Thyroid-Gland    時(shí)間: 2025-3-23 00:10
Pseudoprimes, Poker and Remote Coin Tossing makes sense to define and, as we do in this chapter, discuss such odd entities as pseudoprimes, absolute (or universal) pseudoprimes and strong pseudoprimes. When talking about extremely large numbers, pseudoprimality is sometimes the only evidence we can go by.
作者: Seminar    時(shí)間: 2025-3-23 04:02

作者: stratum-corneum    時(shí)間: 2025-3-23 07:37
search groups and special topics courses (8-10 students), for 1st or 2nd year graduate level courses in Thermal Properties of Solids, special topics courses in Thermal Conductivity, Superconductors and Magnetic Materials, and to researchers in Thermoelectrics, Thermal Barrier Materials and Solid State Physics. .978-1-4419-3444-4978-0-387-26017-4
作者: unstable-angina    時(shí)間: 2025-3-23 12:46

作者: Mawkish    時(shí)間: 2025-3-23 15:43

作者: 他姓手中拿著    時(shí)間: 2025-3-23 21:58
Manfred R. Schroedersearch groups and special topics courses (8-10 students), for 1st or 2nd year graduate level courses in Thermal Properties of Solids, special topics courses in Thermal Conductivity, Superconductors and Magnetic Materials, and to researchers in Thermoelectrics, Thermal Barrier Materials and Solid State Physics. .978-1-4419-3444-4978-0-387-26017-4
作者: 隨意    時(shí)間: 2025-3-23 22:58

作者: NORM    時(shí)間: 2025-3-24 04:27

作者: 難聽的聲音    時(shí)間: 2025-3-24 10:15
The Prime Distributionnd divisibility [4.1], and we shall make ample use of the probabilistic approach throughout this book to gain an intuitive understanding of numerous numbertheoretic relationships. For a formal treatment of probability in number theory see [4.2].
作者: 孤僻    時(shí)間: 2025-3-24 11:46

作者: STIT    時(shí)間: 2025-3-24 17:27
0720-678X and complex number- whose first names virtually exude unsavory involvement with the complex realities of everyday life! Yet, as we shall see in this book, the theory of integers can provide totally unexpected answers to real-world problems. In fact, discrete mathematics is ta king on an ever more important r978-3-662-02395-2Series ISSN 0720-678X
作者: Allure    時(shí)間: 2025-3-24 20:10

作者: atopic-rhinitis    時(shí)間: 2025-3-25 00:28

作者: 偏離    時(shí)間: 2025-3-25 04:51
Primesds counter-intuitive and, in fact, it isn’t true, as Euclid demonstrated a long time ago. Actually, he did it without demonstrating any primes — he just showed that assuming a finite number of primes leads to a neat contradiction.
作者: ear-canal    時(shí)間: 2025-3-25 10:46

作者: 胖人手藝好    時(shí)間: 2025-3-25 12:29

作者: generic    時(shí)間: 2025-3-25 16:41

作者: adj憂郁的    時(shí)間: 2025-3-25 20:36
Quadratic Congruencesnication tasks as certified receipts, remote signing of contracts, and coin tossing — or playing poker over the telephone (discussed in Chap. 19). Finally, quadratic congruences are needed in the definition of pseudoprimes, which were once almost as important as actual primes in digital encryption (see Chap. 19).
作者: 閃光你我    時(shí)間: 2025-3-26 02:20
IntroductionHermann Minkowski, being more modest than Kronecker, once said “The primary source (Urquell) of all of mathematics are the integers.” Today, integer arithmetic is important in a wide spectrum of human activities and natural phenomena amenable to mathematic analysis.
作者: 財(cái)政    時(shí)間: 2025-3-26 08:08
The Natural NumbersHere we encounter such basic concepts as ., ., and ., and we learn the very fundamental fact that the composites can be represented in a . way as a product of primes.
作者: 轎車    時(shí)間: 2025-3-26 12:06

作者: Dignant    時(shí)間: 2025-3-26 13:40

作者: Congregate    時(shí)間: 2025-3-26 20:33
Knapsack EncryptionAs a diversion we return in this chapter to another (once) promising public-key encryption scheme using a trap-door function: . It, too, is based on residue arithmetic, but uses multiplication rather than exponentiation, making it easier to instrument and theoretically more transparent.
作者: obtuse    時(shí)間: 2025-3-26 21:14
Quadratic ResiduesHere we will acquaint ourselves with the fundamentals of . and some of their applications, and learn how to solve . (or perhaps see when there is no solution).
作者: AVOW    時(shí)間: 2025-3-27 02:36
Springer-Verlag Berlin Heidelberg 1984
作者: Daily-Value    時(shí)間: 2025-3-27 07:18

作者: 人工制品    時(shí)間: 2025-3-27 11:14
al conduction community.Highlights new and emerging material.It has?been almost thirty years since the publication of a book that is entirely dedicated to the theory, description, characterization and measurement of the thermal conductivity of solids. The recent discovery of new materials which poss
作者: lymphedema    時(shí)間: 2025-3-27 16:36
Manfred R. Schroederal conduction community.Highlights new and emerging material.It has?been almost thirty years since the publication of a book that is entirely dedicated to the theory, description, characterization and measurement of the thermal conductivity of solids. The recent discovery of new materials which poss
作者: Innovative    時(shí)間: 2025-3-27 18:45
Manfred R. Schroederal conduction community.Highlights new and emerging material.It has?been almost thirty years since the publication of a book that is entirely dedicated to the theory, description, characterization and measurement of the thermal conductivity of solids. The recent discovery of new materials which poss
作者: averse    時(shí)間: 2025-3-28 00:52
Manfred R. Schroederal conduction community.Highlights new and emerging material.It has?been almost thirty years since the publication of a book that is entirely dedicated to the theory, description, characterization and measurement of the thermal conductivity of solids. The recent discovery of new materials which poss
作者: Spinal-Tap    時(shí)間: 2025-3-28 02:23
Manfred R. Schroederal conduction community.Highlights new and emerging material.It has?been almost thirty years since the publication of a book that is entirely dedicated to the theory, description, characterization and measurement of the thermal conductivity of solids. The recent discovery of new materials which poss
作者: 從容    時(shí)間: 2025-3-28 09:30
Manfred R. Schroederal conduction community.Highlights new and emerging material.It has?been almost thirty years since the publication of a book that is entirely dedicated to the theory, description, characterization and measurement of the thermal conductivity of solids. The recent discovery of new materials which poss
作者: FORGO    時(shí)間: 2025-3-28 10:34
Primesds counter-intuitive and, in fact, it isn’t true, as Euclid demonstrated a long time ago. Actually, he did it without demonstrating any primes — he just showed that assuming a finite number of primes leads to a neat contradiction.
作者: Efflorescent    時(shí)間: 2025-3-28 14:52

作者: Vulnerable    時(shí)間: 2025-3-28 19:35

作者: ASSAY    時(shí)間: 2025-3-28 23:13
Linear Congruences, flying the same route, is only 2 to 3 hours late. If you were in a hurry, which airline would you fly — food, lack of leg room and all else being equal? Obviously, being 25 hours late is as good (or bad) as being only 1 hour late. In other words, in a . event an extra day, or even several, makes n
作者: Corral    時(shí)間: 2025-3-29 05:17
Diophantine Equations Early historical occurrences often appeared in the guise of ., and perhaps for that reason, Diophantine equations have been largely neglected in our mathematical schooling. Ironically, though, Diophantine equations play an ever-increasing role in modern applications, not to mention the fact that so
作者: indubitable    時(shí)間: 2025-3-29 11:19

作者: Comprise    時(shí)間: 2025-3-29 13:51
Euler Trap Doors and Public-Key Encryptione the secret encrypting key becomes known, transmissions are no longer secret. In public-key encryption, every potential recipient of secret messages . his encrypting key (hence the name . key). But knowledge of the encrypting key is of no practical help in decryption. The public-key is the key to a
作者: ESPY    時(shí)間: 2025-3-29 16:28

作者: SEVER    時(shí)間: 2025-3-29 20:36

作者: legitimate    時(shí)間: 2025-3-30 02:31

作者: 壓碎    時(shí)間: 2025-3-30 04:28
Fast Transformations and Kronecker Products we will now take time out for a glance at another basic principle of fast computation: decomposition into . or . products. We illustrate this by showing how to factor Hadamard and Fourier matrices — leading to a Fast Hadamard Transform (FHT) and the well-known Fast Fourier Transform (FFT).
作者: cataract    時(shí)間: 2025-3-30 10:34

作者: 頌揚(yáng)本人    時(shí)間: 2025-3-30 13:45
Pseudoprimes, Poker and Remote Coin Tossingr . > 1 is either prime or composite — in other words, . is either “pregnant” with factors or not; there is no third alternative. But nevertheless, it makes sense to define and, as we do in this chapter, discuss such odd entities as pseudoprimes, absolute (or universal) pseudoprimes and strong pseud
作者: 怒目而視    時(shí)間: 2025-3-30 18:58
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