MÓDULO 23: USO DE ANTIBIÓTICOS EN ANIMALES
Control de residuos y resistencia a los antibióticos 23 Agencias federales que controlan los residuos 24 Agencias federales que controlan la resistencia 24 Manteniéndose actualizado con respecto a las regulaciones y problemas con 25 los antibióticos Resumen 26 Recursos/Enlaces en Internet 27
Everything You Need to Know About Modular Arithmetic
A number a has an inverse modulo 26 if there is a b such that a·b ≡ 1(mod 26)or a·b = 26·k +1 thus we are looking for numbers whose products are 1 more than a multiple of 26 We create the following table Table 2: inverses modulo 26 x 1 3 5 7 9 11 15 17 19 21 23 25 x−1 (MOD m) 1 9 21 15 3 19 7 23 11 5 17 25
Solution: x y p x - UC Santa Barbara
≡ 1 (mod 23), and so 3 is a quadratic residue modulo 23 For p = 31, we have 3(31−1)/2 = 315 ≡ −1 (mod 31), and so 3 is a quadratic non-residue modulo 31 (3) Given that a is a quadratic residue modulo the odd prime p, prove the following: (a) a is not a primitive root of p (b) The integer p − a is a quadratic residue or non-residue
MATH 115A SOLUTION SET V FEBRUARY 17, 2005 Solution
(c) Using the exponents 2, 11 and 22, and working modulo 23 gives 22 ≡ 4, 211 ≡ 1 32 ≡ 9, 311 ≡ 1 52 ≡ 2, 511 ≡ 22, 522 ≡ 1 Thus 2, 3, and 5 have orders 11, 11 and 22 respectively (2) Establish each of the following statements below: (a) If a has order hk modulo n, then ah has order k modulo n
Primitive Roots mod p - homepagesmathuicedu
5 is a primitive root mod 23 It can be proven that there exists a primitive root mod p for every prime p (However, the proof isn’t easy; we shall omit it here ) 3) For each primitive root b in the table, b 0, b 1, b 2, , b p − 2 are all distinct in Z p, and they constituted all the nonzero elements of Z p Again, this is always true
18781 Solutions to Problem Set 4, Part 2
311 33 33 33 9 43 9 5 9 1 (mod 23); so 3 doesn’t work either 511 (52)5 5 25 5 9 5 1 (mod 23) and 52 2 (mod 23), so 5 is a primitve root mod 23 Now by the proof of existence of primitive roots mod p2, using Hensel’s lemma, only one lift of 5 will fail to be a primitive root mod 232:We need to check whether 522 1 (mod 232): 522 = (55)4 52
ITALY DICHIARAZIONE DOGANALE CN23 CUSTOMS DECLARATION
EP0594A-EP2641 - Mod 01019A pdf 1 23/04/20 08:08 ISTRUZIONI Allegare la dichiarazione doganale e i documenti che l’accompagnano saldamente all’esterno dell’invio, preferibilmente in una busta trasparente adesiva
Homework 9 Name - California State University, Fresno
116 - Number Theory Spring 2007 Homework 9 Name: Instructor: Travis Kelm Section 9 2 - Primitive Roots for Primes 1 Order Two: (a) Show that for any positive integer m > 2 we have that ordm(m −1)=2
623 Attestazione di “cessione tra produttori e/o
il modulo 6 23 - attestazione di "cessione tra produttori e/o commercianti" di imballaggi vuoti, sarà disponibile anche sul sito dichiarazioni on line nell'area Autodichiarazioni per casi particolari Dal web sarà possibile usufruire del relativo servizio di spedizione del modulo ai propri fornitori 144
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