'Basis step' presentation slideshows

Induction and Recursion Chapter 5

Induction and Recursion Chapter 5. Chapter Summary. Mathematical Induction Strong Induction Well-Ordering Recursive Definitions Structural Induction Recursive Algorithms. Mathematical Induction. Section 5.1. Section Summary. Mathematical Induction

1.27k views • 76 slides

Induction and recursion

Induction and recursion. Chapter 5. With Question/Answer Animations. Chapter Summary. Mathematical Induction Strong Induction Well-Ordering Recursive Definitions Structural Induction Recursive Algorithms Program Correctness ( not yet included in overheads ). Mathematical Induction.

1.09k views • 74 slides

CS322

Week 6 - Monday. CS322. Last time. What did we talk about last time? Proof by induction Strong induction. Questions?. Logical warmup Revenge of the hats. 20 prisoners are scheduled to be executed tomorrow

657 views • 51 slides

Partial Orders

Partial Orders. Section 8.6 of Rosen Fall 2008 CSCE 235 Introduction to Discrete Structures Course web-page: cse.unl.edu/~cse235 Questions : cse235@cse.unl.edu. Outline. Motivating example Definitions Partial ordering, comparability, total ordering, well ordering

828 views • 44 slides

CSC 2510 Test 3

CSC 2510 Test 3. 1. Give the names of the formula or rule that provides the answer for each of the following problems . Do not try to solve the problems!. 1.a.

612 views • 44 slides

CS322

Week 8 - Friday. CS322. Last time. What did we talk about last time? Relations Reflexive Symmetric Transitive. Questions?. Logical warmup. There are five pirates who wish to divide 100 gold coins These pirates are ranked: Captain Lieutenant Master Midshipman Seaman

466 views • 34 slides

Combining learned and highly-reactive management

Combining learned and highly-reactive management. Alva L. Couch and Marc Chiarini Tufts University couch@cs.tufts.edu , mchiar01@cs.tufts.edu. Context of this paper. This paper is Part 3 of a series

434 views • 28 slides

CS322

Week 5 - Friday. CS322. Last time. What did we talk about last time? Sequences Summation and production notation Proof by induction. Questions?. Logical warmup. Consider six straight silver chains made up of five links each What if you want to make one large circular chain?

413 views • 27 slides

Understanding ADTs

Understanding ADTs . CSE 331 . University of Washington . Ways to get your design right . The hard way . Start hacking . When something doesn't work, hack some more . How do you know it doesn't work? . Need to reproduce the errors your users experience . Apply caffeine liberally .

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Inductive Proofs

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Mathematical Induction

Mathematical Induction. Rosen 3.3. Basics. The Well-Ordering Property - Every nonempty set of nonnegative integers has a least element. Many theorems state that P(n) is true for all positive integers.

871 views • 16 slides

CSE 311 Foundations of Computing I

CSE 311 Foundations of Computing I. Lecture 15 Strong Induction and Recursive Definitions Spring 2013. Announcements. Reading assignments Today: 5.2-5.3 7 th Edition 4.2-5.3 6 th Edition Midterm Friday, May 10, MGH 389 Closed book, closed notes

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CSE 321 Discrete Structures

CSE 321 Discrete Structures. Winter 2008 Lecture 15 Structural Induction. Announcements. Readings Today: Structural Induction 6 th edition: 4.3, 5 th edition: 3.4, Friday: Counting 6 th edition: 5.1, 5.2, 5 th edition: 4.1, 4.2. Highlights from Lecture 14.

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Asset Sale

299 views • 11 slides

Quiz 6

Quiz 6. The way I expected it. How to do it!. 1. Use mathematical induction to prove that 1 2 + 3 2 + 5 2 + ... + (2 n + 1) 2 = ( n + 1)(2 n + 1)(2 n + 3)/3 whenever n is a nonnegative integer. Be sure to use the formula provided in class.

198 views • 10 slides

Programming Languages 2nd edition Tucker and Noonan

Programming Languages 2nd edition Tucker and Noonan. Chapter 18 Program Correctness

180 views • 9 slides

Mathematical Induction

Mathematical Induction. Mathematical Induction: Example. Show that any postage of ≥ 8¢ can be obtained using 3¢ and 5¢ stamps. First check for a few particular values: 8¢ = 3¢ + 5¢ 9¢ = 3¢ + 3¢ + 3¢ 10¢ = 5¢ + 5¢ 11¢ = 5¢ + 3¢ + 3¢ 12¢ = 3¢ + 3¢ + 3¢ + 3¢

725 views • 9 slides

Mathematical Fundamentals

Mathematical Fundamentals. Properties of Logarithms: 1. Log b is strictly increasing If x<y then log b x < log b y Log b is one-to-one if log b x = log b y then x = y Log b 1 = 0 Log b b a = a (Log b b = 1). Properties of Logarithms: 2. Log b (xy) = Log b x + Log b y

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Strong Mathematical Induction

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Principle of Strong Mathematical Induction

1.01k views • 5 slides