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Discrete Mathematics for Computer Science - UH

I. = . 1. ! |~ilHTerms Meaning SectionSets, Proof Templates, and Inductionx e A x is an element ofA f A x is not an element ofA x E A and P(x)} Set notation Natural numbers Integers Rationals Real numbers = B Sets A and B are equal C B A is a subset of B g B A is nota subset of B C B A is a proper subset of B 5 B A is nota proper subset of B a bimplies a b a if and only if b A union B A intersect B Generalized union of family of sets X Generalized intersection of family of sets X Xi Xm U ..UXn Xm n .. n Xn -B Elements of A not in B Elements not in A D B (A U B) -(A n B) (X) Power set of X x Y Product of X and Y A y Meet ofx and y v y Join ofx and y Complement of x Top Bottom Cardinality of A a,, + " -".

2.8 Exercises 143 2.9 Chapter Review 147 2.9.1 Summary 148 2.9.2 Starting to Review 149 2.9.3 Review Questions 150 2.9.4 Using Discrete Mathematics in Computer Science 151 CHAPTER 3 Relations 157 3.1 Binary Relations 157 3.1.1 n-ary Relations 162

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