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**Unformatted text preview: **and surjective. January 25 Functions, Page 3 7.1 Functions Let A , B , C be sets and f : A → B , g : B → C . Then the composition of f and g , written g ◦ f is the function g ◦ f : A → C such that g ◦ f ( a ) = g ( f ( a )) , ∀ a ∈ A. The inverse of a bijection f : A → B is the function f-1 : B → A such that f-1 ◦ f is the identity function on A . The graph of a function f : A → B is the set { ( a, f ( a )) : a ∈ A } . January 25 Functions, Page 4 7.2 Some special functions • Ceiling and ﬂoor. • Factorial. January 25 Functions, Page 5...

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- Winter '07
- YaoyunShi
- Discrete Mathematics Lecture