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Asymptotic Notation, Review of Functions & Summations

Asymptotic Notation, Review of Functions & Summations

Asymptotic Notation, Review of Functions & Summations. Asymptotic Complexity. Running time of an algorithm as a function of input size n for large n . Expressed using only the highest-order term in the expression for the exact running time.

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601 views • 39 slides
Asymptotic Notation, Review of Functions & Summations

Asymptotic Notation, Review of Functions & Summations

Asymptotic Notation, Review of Functions & Summations. Asymptotic Complexity. Running time of an algorithm as a function of input size n for large n . Expressed using only the highest-order term in the expression for the exact running time.

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639 views • 39 slides
Asymptotic Notation, Review of Functions & Summations

Asymptotic Notation, Review of Functions & Summations

Asymptotic Notation, Review of Functions & Summations. Asymptotic Complexity. Running time of an algorithm as a function of input size n for large n . Expressed using only the highest-order term in the expression for the exact running time. Instead of exact running time, say Q ( n 2 ).

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500 views • 38 slides
Divide and Conquer

Divide and Conquer

Divide and Conquer. Recall. Divide the problem into a number of sub-problems that are smaller instances of the same problem.

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511 views • 37 slides
Divide and Conquer

Divide and Conquer

Divide and Conquer. Recall. Divide the problem into a number of sub-problems that are smaller instances of the same problem.

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440 views • 37 slides
Asymptotic Notation

Asymptotic Notation

Asymptotic Notation. Q , O , W , o , w Used to describe the running times of algorithms Instead of exact running time, say Q ( n 2 ) Defined for functions whose domain is the set of natural numbers Determine sets of functions, in practice used to compare two functions. ?-notation.

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352 views • 29 slides
Proofs by Counterexample & Contradiction

Proofs by Counterexample & Contradiction

Proofs by Counterexample & Contradiction. There are several ways to prove a theorem: Counterexample: By providing an example of in which the theorem does not hold , you prove the theory to be false .

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466 views • 12 slides

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