'Inductive proof' diaporamas de présentation

RARE APPROXIMATION RATIOS

RARE APPROXIMATION RATIOS. Guy Kortsarz Rutgers University Camden. Approximation Ratios. NP-Hard problems Coping with the difficulty: approximation Minimization or maximization. Approximation ratio (for minimization):. A Generic Problem: Set-Cover. SETS. ELEMENTS. A. B.

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CS201: Data Structures and Discrete Mathematics I

CS201: Data Structures and Discrete Mathematics I. Recursion. Recursive Definitions. Recursive definition (or inductive definition): A definition in which the item being defined appears as part of the definition. Contain two parts:

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Avner Magen Joint work with Costis Georgiou, Toni Pitassi and Iannis Tourlakis

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A triple erasure Reed-Solomon code, and fast rebuilding

A triple erasure Reed-Solomon code, and fast rebuilding. Mark Manasse, Chandu Thekkath Microsoft Research - Silicon Valley Alice Silverberg Ohio State University. 3/12/2014. Motivation. Large-scale storage systems can be expensive to build and maintain

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Chapter 4 - 4

Chapter 4 - 4. Equivalence, Order, and Inductive Proof. Section 4.4 Inductive Proof.

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Chapter 4 - 4

Chapter 4 - 4. Equivalence, Order, and Inductive Proof. Section 4.4 Inductive Proof.

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???? (Discrete Mathematics) 3.4 ?? ?? (Recursion)

???? (Discrete Mathematics) 3.4 ?? ?? (Recursion). 2006 ? ??? ??? ????? ??????. Recursive Definitions ( ??? ?? ). 3.4 Recursion.

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2014 ? ??? ????? ??????? ???

???? (Discrete Mathematics) ?? ?? (Recursion). 2014 ? ??? ????? ??????? ???. Recursive Definitions ( ??? ?? ). Recursion.

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Section 4.4 Inductive Proof

Section 4.4 Inductive Proof What do we believe about nonempty subsets of N ? Since ? N , < ? is well-founded, and in fact it is linear, it follows that every nonempty subset has a least element. This little observation is the only thing we need to present the ideas of inductive proof.

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