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Algorithms

Algorithms. Ch 3: Growth of Functions Ming-Te Chi. 3.1 Asymptotic notation . A way to describe behavior of function in the limit. asymptotically tight bound.  g(n) is an asymptotic tight bound for f(n). &quot;=&quot; abuse equality. “is a member of” All c i and n 0 are positive numbers.

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3.G rowth of Functions

3.G rowth of Functions. 3.1 Asymptotic notation .  g ( n ) is an asymptotic tight bound for f ( n ). ``=’’ abuse. The definition of required every member of be asymptotically nonnegative. Example: . In general, . asymptotic upper bound. asymptotic lower bound . Theorem 3.1.

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Elementary Sorting Algorithms

Elementary Sorting Algorithms. Sorting – Definitions. Input: n records , R 1 … R n , from a file . Each record R i has a key K i possibly other (satellite) information The keys must have an ordering relation that satisfies the following properties:

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