Search results
Math 151 Discrete Mathematics [Methods of Proof] By: Malek Zein AL-Abidin Direct Proof: A direct proof shows that a conditional statement p q is true by showing that if p is true, then q must also be true, so that the combination p true and q false never occurs. In a direct proof, we
This free Discrete Math cheatsheet has a master list of common definitions, symbols, formulas, and notes, all in one place. Easily learn important topics with practice problems and flashcards, export your terms to pdf, and more.
By mkenny. cheatography.com/mkenny/. METHOD DEFINITIONS. constructive proof of existence. A proof that shows that an existential statement is true. proof by exhaustion. Allowed assumptions in proofs. The rules of algebra. For example if x, y, and z are real numbers and x = y, then x+z = y+z.
In preparation for the proof we will first discuss greatest common divisors and the notion of coprime pairs of numbers. The greatest common divisor of numbers a and b, denoted gcd(a, b) is the greatest number d which divides both a and b. For example gcd(8, 12) = 4, and gcd(20, 35) = 5.
Worksheet on Proofs involving Sets September 21, 2015 1 Proofs that are similar to today’s quiz 1.Suppose A, B and C are sets. Prove that A[(B\C) = (A[B)\(A[C). 1
Axiom. An axiom is a proposition that is assumed to be true Example: For mathematical quantities a and b, if a = b, then. b = a. Logical deduction. We call this process – the axiomatic method We will cover several proof techniques in this chapter. The current world ceases to function without math proofs.
1.1. Basic exercises. The main aim is to practice the analysis and understanding of mathematical statements (e.g. by isolating the diferent components of composite statements) and exercise the art of presenting a logical argument in the form of a clear proof (e.g. by following proof strategies and patterns).
