3 Congruence
Definition 3.1 If a and b are integers and n > 0 we write a ? b mod n to mean n
3 Congruence
Definition 3.1 If a and b are integers and n > 0 we write a ? b mod n to mean n
Divisibility Memorize: If a and b are integers we say that a divides b
b ? and the remainder r is a(mod b) integer between 0 and b ? 1 then the notation (dkdk?1 ...d1d0)b means dk × bk + dk?1 × bk?1 + .
Congruence and Congruence Classes
The next definition yields another example of an equivalence relation. Definition 11.2. Let a b
DIVISIBILITÉ ET CONGRUENCES
Définition : Soit a et b deux entiers relatifs. a divise b s'il existe un entier relatif k tel que b = ka. On dit également : - a est un diviseur de b.
Solutions to Homework Set 3 (Solutions to Homework Problems
If a b are integers such that a ? b (mod p) for every positive prime p
Math 110 Homework 1 Solutions
15 janv. 2015 1. (a) Define the phrase m divides n. (b) Given integers m and n state the definition of the greatest common divisor of ...
Discrete Mathematics Chapter 4: Number Theory and Cryptography
Definition. If a and b are integers and m is a positive integer then a is congruent to b modulo m iff m
3. Equivalence Relations 3.1. Definition of an Equivalence Relations
The relation a ? b(mod m) is an equivalence relation on the set of integers. Page 5. 3. EQUIVALENCE RELATIONS. 37. Proof. Reflexive. If a
