PROPERTIES OF PRIME NUMBERS ,...97,89,83,73,71,67,61,59,53
Properties of Functions New Functions from Old
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Proofs • A theorem is a mathematical statement that can be shown to
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PROOF, PATTERN, CONJECTURE (1) ( Counting subsets) {dog, cat}
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Proof that almost all numbers n are composed of about log logn
Proof that 2+2=4
proof of the theorem
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Proof of Goldbach hypothesis
Proof Methods We assume that we have a proof system that has
Proof Exercises
Proof by Induction
Proof by Contradiction
Progressions SEQUENCE A sequence is a function whose domain
Problem. Prove that the square of any whole number n is a multiple
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