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Discrete Structures for Computer Science: Counting ...

Discrete Structures for Computer Science: Counting , Recursion, and ProbabilityMichiel SmidSchool of Computer ScienceCarleton UniversityOttawa, 22, 2019 ContentsPrefacevii1 Ramsey theory .. Sperner s Theorem .. The Quick-Sort Algorithm ..52 Mathematical Basic Concepts .. Proof Techniques .. proofs .. proofs .. proofs .. by contradiction .. by induction .. examples of proofs .. Asymptotic Notation .. Logarithms .. Exercises .. 233 The Product Rule.

techniques and probability theory. This probably sounds surprising to you, because Theorem1.1.3does not have anything to do with probability. In fact, in Section7.2, we will prove the following claim: Take k = 20 and n= 1024. If you go to the ByWard Market in downtown Ottawa and take a;: Then :

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