Discrete Structures Lecture Notes
Discrete StructuresLecture NotesVladlen Koltun1Winter 20081Computer Science Department, 353 Serra Mall, Gates 374, Stanford University, Stanford, CA94305, Sets and Defining sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Set operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . More sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .42 Introducing induction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Strong induction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Why is the induction principle true?
addition to being reasonably formal and unambiguous, your mathematical writing should be as clear and understandable to your intended readership as possible. Here are the rational numbers: Q = na b: a ∈ Z,b ∈ Z,b 6= 0 o. Instead of a ∈ Z,b ∈ Z, you can write a,b ∈ Z, which is more concise and generally more readable.
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