'Recurrence relations' presentation slideshows

Topic 4: Combinatorics

Topic 4: Combinatorics. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: 4 th August 2013. Slide Guidance. Key to question types:. SMC. Senior Maths Challenge. Uni. University Interview. Questions used in university interviews (possibly Oxbridge).

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Sorting

Sorting. 15-211 Fundamental Data Structures and Algorithms. Peter Lee February 20, 2003. Announcements. Homework #4 is out Get started today! Reading: Chapter 8 Quiz #2 available on Tuesday. Objects in calendar are closer than they appear. Introduction to Sorting.

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Chapter 7

Chapter 7. Advanced Counting Techniques. Contents. 7.1 Recurrence Relations 7.2 Solving Recurrence Relations 7.4 Generating Functions (skipped) 7.3 Divide-and-conquer Relations 7.5 The Inclusion-Exclusion principle 7.6 Applications of the Inclusion-Exclusion principle.

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CHAPTER 2 Analysis of Algorithms

CHAPTER 2 Analysis of Algorithms. Input. Algorithm. Output. An algorithm is a step-by-step procedure for solving a problem in a finite amount of time. Algorithm Analysis: Do NOT worry !!!. Math you need to Review. Series summations Logarithms and Exponents Proof techniques

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R. Johnsonbaugh Discrete Mathematics 7 th edition, 2009 Chapter 7 Recurrence Relations

Instructor Tianping Shuai. R. Johnsonbaugh Discrete Mathematics 7 th edition, 2009 Chapter 7 Recurrence Relations. 7.1 Introduction.

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Recursion

Recursion. Sections 8.1 and 8.2 of Rosen Spring 2017 CSCE 235H Introduction to Discrete Structures (Honors) Course web-page: cse.unl.edu/~cse235h Questions : Piazza. Outline. Introduction, Motivating Example Recurrence Relations Definition, general form, initial conditions, terms

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Mathematical Background

Mathematical Background. Outline. This topic reviews the basic mathematics required for for this course: A justification for a mathematical framework The ceiling and floor functions Logarithms Arithmetic series Mathematical induction Geometric series Recurrence relations

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N =4 Supersymmetric Gauge Theory, Twistor Space, and Dualities

N =4 Supersymmetric Gauge Theory, Twistor Space, and Dualities. David A. Kosower Saclay Lectures, III Fall Term 2004. Course Overview. Present advanced techniques for calculating amplitudes in gauge theories Motivation for hard calculations Review gauge theories and supersymmetry

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Quicksort

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RNA secondary structure prediction

Doug Raiford Lesson 7. RNA secondary structure prediction. Why do we care. RNA World Hypothesis RNA world evolved into the DNA and protein world DNA advantage: greater chemical stability Protein advantage: more flexible and efficient enzymes ( biomolecules that catalyze)

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Chapter 5

Chapter 5. Advanced Counting Techniques. Contents. Recurrence Relations Solving Recurrence Relations Divide-and-conquer Relations The Inclusion-Exclusion principle Applications of the Inclusion-Exclusion principle. Recurrence relations. #bacteria doubles every hour.

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Hawking radiation for a Proca field

Mengjie Wang ???? ? In collaboration with Carlos Herdeiro & Marco Sampaio. Hawking radiation for a Proca field. Based on: PRD85(2012) 024005. ???. Mengjie Wang. Mengjie Wang. Outline. 1. Introduction. 2. Hawking radiation in D dimensions. 3. Hawking radiation on the brane. 4.

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Recurrence Relations

Recurrence Relations. COP 3502. Recurrence Relation. In mathematics, a recurrence relation is an equation that recursively defines a sequence. For example, a mathematical recurrence relation for the Fibonacci Numbers is: F n = F n-1 +F n-2 With base cases: F 2 = 1 F 1 = 1

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Chap. 10 Recurrence Relations

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C1 Chapter 6 Arithmetic Series

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Library Methods and Recursion

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Compsci 201 Recitation 11

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CMSC 203 / 0201 Fall 2002

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Recurrence Relations next number depends on the previous number

Limit L is equal to. Given three values in a sequence e.g. U 10 , U 11 , U 12 we can work out recurrence relation. U 11 = a U 10 + b. U 12 = a U 11 + b. Use Sim . Equations. b. L =. a = sets limit b = moves limit U n = no effect on limit. (1 - a ).

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