PPT-Periodic Recurrence Relations

and Reflection Groups JG October 2009 A periodic recurrence relation with period 5 A Lyness sequence a cycle R C Lyness once mathematics teacher at Bristol Grammar School. Discrete Mathematics for Computer Science. Fall . 2012. Jessie Zhao. jessie@cse.yorku.ca. Course page: . http://www.cse.yorku.ca/course/1019. 1. No more TA office hours. My office hours will be the same. Chapter 8. With Question/Answer Animations. Chapter Summary. Applications of Recurrence Relations. Solving Linear Recurrence Relations. Homogeneous Recurrence Relations. Nonhomogeneous. Recurrence Relations. Applied Discrete Mathematics Week 9: Relations. 1. Now it’s Time for…. Advanced. Counting. Techniques. April 7, 2015. Applied Discrete Mathematics Week 9: Relations. Recurrence Relations. ICS 6D. Sandy . Irani. Recurrence Relations. to Define a Sequence. g. 0 . = 1. For n . 2, . g. n. = 2 g. n-1. + 1. A . closed form solution . for a recurrence relation, gives the n. Section 2.4. Section Summary. Sequences.. Examples: Geometric Progression, Arithmetic Progression. Recurrence Relations. Example: Fibonacci Sequence. Summations. Introduction. Sequences are ordered lists of elements. . Applied Discrete Mathematics Week 11: Relations. 1. Modeling with Recurrence Relations. Another example:. . Let a. n. denote the number of bit strings of length n that do not have two consecutive 0s (“valid strings”). Find a recurrence relation and give initial conditions for the sequence {a. 1. Recurrence Relations. Time complexity for Recursive Algorithms. Can be more difficult to solve than for standard algorithms because we need to know complexity for the sub-recursions of decreasing size. Advanced Counting. Spring 2015. Sukumar Ghosh. Compound Interest. A person deposits $10,000 in a savings account that yields . 10% interest annually. How much will be there in the account . after 30 years?. Some of these recurrence relations can be solved using iteration or some other ad hoc technique. . However, one important class of recurrence relations can be explicitly solved in a systematic way. These are recurrence relations that express the terms of a sequence as linear combinations of previous terms.. Terms that refer to previous terms to define the next term is called recursive. . The recursive formula is called recurrence relation. . Information about the beginning sequence is called the initial condition or conditions.. Chapter 8. With Question/Answer Animations. Chapter Summary. Applications of Recurrence Relations. Solving Linear Recurrence Relations. Homogeneous Recurrence Relations. Nonhomogeneous. Recurrence Relations. Advanced Counting. Fall 2018. Sukumar Ghosh. Compound Interest. A person deposits $10,000 in a savings account that yields . 10% interest annually. How much will be there in the account . after 30 years?. The Periodic Table Ms. Pici 2016-2017 The Periodic Table Lay out 2-28-16 Take out periodic table basics and white paper You will need scissors, a glue stick, and colored pencils Use an Analogy Calendar like the Periodic Table Advanced Counting Techniques Chapter 8 With Question/Answer Animations Chapter Summary Applications of Recurrence Relations Solving Linear Recurrence Relations Homogeneous Recurrence Relations Nonhomogeneous