'Mathematical induction' presentation slideshows

Methods of Proof

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Knowledge

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Topic Number 8 Algorithm Analysis

Topic Number 8 Algorithm Analysis. " bit twiddling: 1. (pejorative) An exercise in tuning (see tune ) in which incredible amounts of time and effort go to produce little noticeable improvement, often with the result that the code becomes incomprehensible."

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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. Mathematical Induction. Section 5.1. Climbing an Infinite Ladder.

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Regular Languages

Regular Languages. Sequential Machine Theory Prof. K. J. Hintz Department of Electrical and Computer Engineering Lecture 3. Comments, additions and modifications by Marek Perkowski. Languages. Informal Languages English Body language Bureaucratic conventions and procedures

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Mathematical Induction I

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Properties of the Integers: Mathematical Induction

Properties of the Integers: Mathematical Induction. Chapter 4. 1. Mathematical Induction 2. Harmonic, Fibonacci, Lucas Numbers 3. Prime Numbers. Chapter 4 Properties of the Integers: Mathematical Induction . 4.1 The Well-Ordering Principle: Mathematical Induction.

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Recurrence Relations

Recurrence Relations. Connection to recursive algorithms Techniques for solving them. Recursion and Mathematical Induction. In both, we have general and boundary conditions: The general conditions break the problem into smaller and smaller pieces.

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CSci 2011 Discrete Mathematics Lecture 16

CSci 2011 Discrete Mathematics Lecture 16. Yongdae Kim. Admin. Due dates and quiz Groupwork 7 is due on Oct 26 th . Homework 4 is due on Oct 28 th . Quiz 4: Nov 4 th . 1 page cheat sheet is allowed. E-mail: csci2011-help@cselabs.umn.edu Put [2011] in front. Check class web site

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Chapter 10

Chapter 10. Sequences and Series. 10.1 Sequences and Summation Notation. Definition: A sequence is a function f whose domain is the set of natural numbers. The values are called terms of the sequence. Example:. nth term formula. Sequence. First Term. Second Term. Fourth Term.

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Application: Algorithms

Application: Algorithms. Lecture 20 Section 3.8 Wed, Feb 21, 2007. Greatest Common Divisors. Let a and b be integers that are not both 0. The greatest common divisor of a and b , denoted gcd( a , b ), is the unique positive integer d with the following properties:

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Solving Recurrence Relations by Iteration

Solving Recurrence Relations by Iteration. Lecture 41 Section 8.2 Fri, Apr 13, 2007. Solving Recurrence Relations. Our method will involve two steps. Guess the answer. Verify the guess, using mathematical induction. Guessing the Answer.

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Chapter 11: Further Topics in Algebra

Chapter 11: Further Topics in Algebra. 11.1 Sequences and Series 11.2 Arithmetic Sequences and Series 11.3 Geometric Sequences and Series 11.4 The Binomial Theorem 11.5 Mathematical Induction 11.6 Counting Theory 11.7 Probability. 11.5 Mathematical Induction.

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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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CMSC 203 / 0201 Fall 2002

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Mathematical Induction

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The Parameter Theorem

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Strong Mathematical Induction

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