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Chapter 1: The Foundations: Logic and Proofs

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Chapter 1: The Foundations: Logic and Proofs

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The Growth of Functions. The growth of functions is usually described using the big-O notation . Definition: Let f and g be functions from the integers or the real numbers to the real numbers. We say that f(x) is O(g(x)) if there are constants C and k such that |f(x)| ? C|g(x)|

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Follow me for a walk through...

Follow me for a walk through. Mathematical Induction. Induction. The principle of mathematical induction is a useful tool for proving that a certain predicate is true for all natural numbers . It cannot be used to discover theorems, but only to prove them. Induction.

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