'Cmsc 203 discrete structures' diaporamas de présentation

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Chapter 3

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Yes, No, Maybe...

Yes, No, Maybe. BooleanAlgebra. Boolean Algebra. Boolean algebra provides the operations and the rules for working with the set {0, 1}. These are the rules that underlie electronic circuits , and the methods we will discuss are fundamental to VLSI design .

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Relations

Relations. Relations. If we want to describe a relationship between elements of two sets A and B, we can use ordered pairs with their first element taken from A and their second element taken from B. Since this is a relation between two sets , it is called a binary relation .

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If I told you once, it must be...

If I told you once, it must be. Recursion. Recursive Definitions. Recursion is a principle closely related to mathematical induction. In a recursive definition , an object is defined in terms of itself. We can recursively define sequences , functions and sets.

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Follow me for a walk through...

Follow me for a walk through. Mathematical Induction. Induction. The principle of mathematical induction is a useful tool for proving that a certain predicate is true for all natural numbers . It cannot be used to discover theorems, but only to prove them. Induction.

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