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Chinese Remainder Theorem:     more detail

Chinese Remainder Theorem: Applications in Computing, Coding, Cryptography by C. Ding, D. Pei, et all 1999-06 Secret Sharing Using the Chinese Remainder Theorem: Secret Sharing, Chinese Remainder Theorem, Threshold Cryptosystem, Cardinality, Access Structure, Shamir's ... Polynomial Interpolation, George Blakley Remainder: Natural Number, Real Number Modulo Operation, Chinese Remainder Theorem, Division Algorithm, Euclidean Algorithm A hierarchical single-key-lock access control using the Chinese remainder theorem (OSU-CS-TR) by Kim Sin Lee, 1994 Fundamental Number Theory with Applications (Discrete Mathematics and Its Applications) by Richard A. Mollin, 1998-01-31 Fundamental Number Theory with Applications, Second Edition (Discrete Mathematics and Its Applications) by Richard A. Mollin, 2008-02-21

lists with details

41. Ravenswd's Favorite Mathematics Web Sites - StumbleUpon
    http//en.wikipedia.org/wiki/chinese_remainder_theorem. Lists of small primes (less than 1000 digits) Nov 29, 2007 120pm 1 review mathematics  
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    Extractions: http://www.numberspiral.com/ See more popular pages about mathematics liked by other StumbleUpon users. StumbleUpon is the best way to discover great web sites, videos, photos, blogs and more - based on your interests. Everything is submitted and rated by the community. Discover, share and review the best of the web! Stumble their favorite...

42. En.wikipedia.org Chinese Remainder Theorem - Wikipedia, The Free Encyclopedia -
    http//en.wikipedia.org/wiki/chinese_remainder_theorem. Excerpt from members bookmarked website prime. A solution x exists if and only if  
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    Extractions: Filed under Chinese remainder theorem - Wikipedia, the free encyclopedia Website prime. A solution x exists if and only if: All solutions x are then congruent modulo the least common multiple of the ni. Versions of the Chinese remainder theorem were also known to Brahmagupta, and appear in Fibonaccis Liber Abaci (1202). [edit] A constructive algorithm to fi This is the description of the above website given by a member. Please see the original website linked above for more information. This page is for information, comments, and public reviews about the above website. We encourage you to also post your thoughts below and visit the original website. No reviews have been provided. Be the first to write a review Your Name: Your Location: Please Choose Canada UK USA Afghanistan Albania Algeria Andorra Angola Antigua Barbuda Argentina Armenia Australia Austria Azerbaijan Bahamas Bahrain Bangladesh Barbados Belarus Belgium Belize Benin Bhutan Bolivia Bosnia Herzegovina Botswana Brazil Brunei Bulgaria Burkina Faso Burma Burund Cambodia Cameroon Central African Rep Chad Chile China Columbia Comoros Congo Costa Rica Croatia Cuba Cyprus Czech Republic DR Congo Denmark Djiboutil Dominica Dominican Rep Ecuador Egypt El Salvador Eq Guinea Eritrea Estonia Ethiopia Fiji Finland France Gabon Gambia Georgia Germany Ghana

43. Ed_Morris (Nth Degree White Belt) 02/25/06 1105 PM Re Seisan
    such dismissal is since Europe surpassed them later in history. and the winners write history. http//en.wikipedia.org/wiki/chinese_remainder_theorem  
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44. Math I Thought It'd Be Three But I Must Have Miscalculated It Couldn't Be 1 2 Or
    inte, defcon8 anyway, the constructive algorithm in http//en.wikipedia.org/wiki/chinese_remainder_theorem is probably what you re looking for  
    http://ircarchive.info/math/2007/4/4/57.html
    
    Extractions: I blame it on my running out whiteboard pen bXi defcon8: i'm basicly a php programmer who was given this question bXi, I'm 16 and haven't gone to uni yet :D bXi and i brute forced it using php but i'd like to know a real nice formula for this delta bXi, out of curiosity, in which context? a real farmer? int-e, what's with the div 15 stuff? I don't get it bXi this customer of my company int-e defcon8: that's just an upper bound on the number of cows that can be bought bXi told me he learnt the importance of maths trough this question kelt mbot kelt mbot int-e defcon8: anyway, the constructive algorithm in

45. Donald Ervin Knuth(1938)
    Ternary_computer Cycle_detection Software_testing chinese_remainder_theorem Concrete_Roman Hash_function Ternary_logic Exponentiation ?  
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46. Chinese Remainder Theorem - Wiktionary
    Diperoleh dari http//id.wiktionary.org/wiki/chinese_remainder_theorem . Kategori Kata Bahasa Indonesia Sumber Glosarium Pusat Bahasa  
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    Extractions: Langsung ke: navigasi cari Chinese remainder theorem teorema sisa Cina sebagian atau seluruh definisi yang termuat pada halaman ini diambil dari Glosarium Pusat Bahasa, Departemen Pendidikan Nasional Indonesia Diperoleh dari " http://id.wiktionary.org/wiki/Chinese_remainder_theorem Kategori Kata Bahasa Indonesia Sumber Glosarium Pusat Bahasa Tampilan Peralatan pribadi Navigasi Pencarian Kotak peralatan Pranala balik Perubahan terkait Pemuatan Halaman istimewa ... Pranala permanen Halaman ini terakhir diubah pada 20:34, 26 Mei 2007. Seluruh teks tersedia sesuai dengan Lisensi Dokumentasi Bebas GNU

47. Interview With Translators *New- HOJU!!* - SPCNET.TV Forums
    http//en.wikipedia.org/wiki/chinese_remainder_theorem I think the first problem involves the use of continued fractions, for which Indian mathematics if  
    http://www.spcnet.tv/forums/showthread.php?t=20356

48. Re: Theory Puzzle: Solution
    http//en.wikipedia.org/wiki/chinese_remainder_theorem Then adding 3 (resp. 4) in Z_12 is the same thing as adding (0, 1) (resp. (1, 0)) in Z_3 x Z_4.  
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49. Hmmm... Just Curious About Logic... : Logic
    Rank Guru. ozo. how about this one? http//en.wikipedia. org/wiki/chinese_remainder_theorem. 09.21.2006 at 1233PM PDT, ID 17572282. dagesi  
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    Extractions: @import "http://css.experts-exchange.com/css/base_3618276ccca606d0bcf9ee7bb446c909.css"; @import "http://css.experts-exchange.com/xp/css/base_d16565daf4137a68194463e96c40d3ca.css"; @import "http://css.experts-exchange.com/css/component_94663622cff046e1dd8f2d34a1271fe2.css"; @import "http://css.experts-exchange.com/xp/css/component_e29a46ba23f1e41cd8105e5dc15a30d0.css"; @import "http://css.experts-exchange.com/css/formFactory_fd807e85939eecc0475e5624114754d4.css"; @import "http://css.experts-exchange.com/xp/css/formFactory_88f4cae93b40140e2f2866a5a35f0e0e.css"; @import "http://css.experts-exchange.com/xp/css/button_0a5330f610c5f605b5e15c2c4078c156.css"; @import "http://css.experts-exchange.com/xp/css/jsp/viewQuestion_ab978944588aa418ff9ab325dd77c3da.css"; @import "http://css.experts-exchange.com/xp/css/include/infoBox_225b77325534d5688d38edee6857379b.css"; @import "http://css.experts-exchange.com/css/include/suggestedResults_1f5fab52b739848a08bf5b630e689bd8.css"; @import "http://css.experts-exchange.com/xp/css/include/zoneHeader_7b1ad65143a14063adda39b747a9ab9f.css"; @import "http://css.experts-exchange.com/css/include/question_de8bfacf7fb2f9327f4187e73f01b34c.css";

50. Sobre Teorema
    Translate this page Several related results in number theory and abstract algebra are known under the name en.wikipedia.org/wiki/chinese_remainder_theorem - 30k  
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    Extractions: We know all about it. It is one of the best a resource about sobre teorema sobreteorema. Message This is simply amazing. Offers sobre teorema sobreteorema with a product or service that delivers sobre teorema and sobreteorema . Offers with a product or service that delivers. You will want to find out more information.

51. Chinese Remainder Theorem - Biocrawler
    chinese_remainder_theorem. Retrieved from http//www.biocrawler. com/encyclopedia/chinese_remainder_theorem . Categories Modular arithmetic  
    http://www.biocrawler.com/encyclopedia/Chinese_remainder_theorem
    
    Extractions: edit The original form of the theorem, contained in a book by the Chinese mathematician Qin Jiushao published in , is a statement about simultaneous congruences (see modular arithmetic ). Suppose n n k are positive integers which are pairwise coprime (meaning gcd n i n j ) = 1 whenever i j ). Then, for any given integers a a k , there exists an integer x solving the system of simultaneous congruences Furthermore, all solutions x to this system are congruent modulo the product n n n k A solution x can be found as follows. For each i ; the integers n i and n n i are coprime, and using the extended Euclidean algorithm we can find integers r and s such that r n i s n n i = 1. If we set

52. Chinese Remainder Theorem - Exampleproblems
    Retrieved from http//www.exampleproblems.com/wiki/index. php/chinese_remainder_theorem . Categories Modular arithmetic Commutative algebra  
    http://www.exampleproblems.com/wiki/index.php/Chinese_remainder_theorem
    
    Extractions: Jump to: navigation search The Chinese remainder theorem CRT ) is the name for several related results in abstract algebra and number theory The original form of the theorem, contained in a third-century book by Chinese mathematician Sun Tzu and later republished in a book by Qin Jiushao , is a statement about simultaneous congruences (see modular arithmetic ). Suppose n n k are positive integers which are pairwise coprime (meaning gcd n i n j ) = 1 whenever i j ). Then, for any given integers a a k , there exists an integer x solving the system of simultaneous congruences Furthermore, all solutions x to this system are congruent modulo the product n n n k A solution x can be found as follows. For each i ; the integers n i and n n i are coprime, and using the extended Euclidean algorithm we can find integers r and s such that r n i s n n i = 1. If we set

53. Chinese Remainder Theorem
    Contents. Chinese remainder theorem. The Chinese remainder theorem is the name applied to a number of related results in abstract algebra and number theory.  
    http://www.ebroadcast.com.au/lookup/encyclopedia/ch/Chinese_remainder_theorem.ht
    
    Extractions: Make eBroadcast my Homepage Contact Us It's Web Guide Encyclopedia Contents Chinese remainder theorem The Chinese remainder theorem is the name applied to a number of related results in abstract algebra and number theory The original form of the theorem, contained in a book by the Chinese mathematician Ch'in Chiu-Shao[?] published in , is a statement about simultaneous congruences (see modular arithmetic ). Suppose n n k are positive integers which are pairwise coprime (meaning gcd n i n j ) = 1 whenever i j ). Then, for any given integers a a k , there exists an integer x solving the system of simultaneous congruences Furthermore, all solutions x to this system are congruent modulo the product n n n k A solution x can be found as follows. For each i , the integers n i and n n i are coprime, and using the extended Euclidean algorithm we can find integers r and s such that r n i s n n i = 1. If we set e i s n n i , then we have The number x i k a i e i then solves the given system of simultaneous congruences.

54. Chinese Remainder Theorem
    Title page. Chinese Remainder Theorem. REDIRECT chinese_remainder_theorem. The McFLY Encyclopedia is based on Wikipedia. See McFly copyrights for more  
    http://en.mcfly.org/Chinese_Remainder_Theorem

55. Resto Teorema Chino - Wikipedia, La Enciclopedia Libre
    Translate this page Retrieved from http//en.wikipedia.org/wiki/chinese_remainder_theorem Obtenido de http//en.wikipedia.org/wiki/chinese_remainder_theorem  
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56. Matematikk.net :: Matteprat
    Han kan sikkert forklare godt seinere. Ta en titt på http//en.wikipedia.org/wiki/chinese_remainder_theorem så lenge.  
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57. CHINESE REMAINDER THEOREM Encyclopedia Entry
    chinese_remainder_theorem Definition of the term Original Article from WikiPedia http//en.wikipedia.org/wiki/chinese_remainder_theorem  
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58. Chinese Remainder Theorem - Wielka Encyklopedia Wiedzy , The Free Encyclopedia
    Retrieved from http//en.wikipedia.org/wiki/chinese_remainder_theorem . Categories Modular arithmetic Commutative algebra Mathematical theorems  
    http://www.swiata.net/en/wiki/Chinese_remainder_theorem.html
    
    Extractions: Chinese remainder theorem [en] Tierce (musique) [fr] Saint-Germain-des-Pr¨¦s [en] Category:2002 singles [en] ... Rockhurst University [en] Wybierz język: ar id bg ca ... zh Jump to: navigation search Chinese remainder theorem refers to a result about congruences in number theory and its generalizations in abstract algebra The original form of the theorem, contained in a third-century AD book Sun Zi suanjing(孙子算经 The Mathematical Classic by Sun Zi) by Chinese mathematician Sun Tzu and later republished in a book by Qin Jiushao , Shu shu jiu zhang(数书九章 Mathematical Treatise in Nine Sections) is a statement about simultaneous congruences (see modular arithmetic Suppose n n n k are integers which are pairwise coprime . Then, for any given integers

59. Ответ на вопрос № 51475
    Translate this page http//en.wikipedia.org/wiki/chinese_remainder_theorem ( , )  
    http://www.delphikingdom.com/asp/answer.asp?IDAnswer=51475

60. Chinese Remainder Theorem —— 维客(wiki)
    Translate this page Redirect page. Jump to navigation, search. Chinese remainder theorem. http//www.wiki.cn/wiki/chinese_remainder_theorem . ; ; .  
    http://www.wiki.cn/wiki/Chinese_Remainder_Theorem

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