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Discrete Math Stack

Discrete Math Intro

alphabet finite set of symbols
word an arrangement of symbols from an alphabet
sigma-star all possible words over an alphabet
function defined from a input set: "domain" to an output set: "codomain"
contradiction always false
tautology always true
contingency not always true or false
identity laws variable wins
domination laws T or F wins
universe of discourse all possible values of the predicate
lambda null word
union AuB
intersection AnB
difference A-B
complement A'
symmetric difference AoB = [(AuB)-(AnB)]
partition a complete set of non-empty "disjoint" subsets
well ordering principle every non-empty set of positive integers has a least element
division algorithm for any a in Z and b in Z+, there exist q and r s.t. a=b*q+r where 0<=r<b
Created by: hey_bubba