CMSC 203 / 0201 Fall 2002. Week #11 – 4/6/8 November 2002 Prof. Marie desJardins. TOPICS. (Probability theory cont.) Generalized combinations and permutations NOTE changes to syllabus: Shifting of material; some chapter sections dropped; graphs (7.1-7.5) instead of Boolean algebra

ByRecursion. 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

ByLimit 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 ).

ByQuicksort. Ack: Several slides from Prof. Jim Anderson’s COMP 202 notes. Performance. A triumph of analysis by C.A.R. Hoare Worst-case execution time – ( n 2 ) . Average-case execution time – ( n lg n ) . How do the above compare with the complexities of other sorting algorithms?

ByTopic 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).

ByChap. 10 Recurrence Relations. Discrete Function. A set S is countable if | S | = | N |. Thus, a set S is countable if there is a one-to-one correspondence between N and S. A set S is at most countable if | S | ≤ | N |. Any finite set is at most countable.

ByC1 Chapter 6 Arithmetic Series. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: 7 th October 2013. Types of sequences. common difference . ?. +3. +3. +3. This is a:. 2, 5, 8, 11, 14, …. ?. Arithmetic Series. common ratio . ?. 3, 6, 12, 24, 48, …. ?. Geometric Series.

ByCompsci 201 Recitation 11. Professor Peck Jimmy Wei 11/8/2013. In this Recitation. Recurrence Relations! Brief refresher Practice Submit via form : http:// goo.gl /b7XysN Code available in snarf folder—if you have JRE system library issues:

ByCHAPTER 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

ByRecurrence 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

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

ByDoug 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)

ByMathematical 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

ByN =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

ByChapter 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.

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

ByChapter 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.

ByLibrary Methods and Recursion. Instructor: Mainak Chaudhuri mainakc@cse.iitk.ac.in. Announcements. Lab tests next week You will get 90 minutes to solve two problems In the remaining 90 minutes your work will be graded with the tutors’ inputs Syllabus same as mid-term I. Math library.

BySorting. 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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