PPT-22C:19 Discrete Structures

Relations Fall 2014 Sukumar Ghosh What is a relation Let A B be two sets A binary relation R is a subset of A X B Example Let A Alice Bob Claire Dan be a set students and B CS101 CS201 CS202 be a set of courses Then. 5.1 Discrete-time Fourier Transform . Representation for discrete-time signals. Chapters 3, 4, 5. Chap. 3 . Periodic. Fourier Series. Chap. 4 . Aperiodic . Fourier Transform . Chap. 5 . Aperiodic . Dr. Feng Gu. Way to study a system. . Cited from Simulation, Modeling & Analysis (3/e) by Law and . Kelton. , 2000, p. 4, Figure 1.1. Model taxonomy. Modeling formalisms and their simulators . Discrete time model and their simulators . Logic and Proof. Spring 2015. Sukumar Ghosh. Predicate Logic. Propositional logic has limitations. Consider this:. Is . x. . > 3. a proposition? No, it is a . predicate. . Call it . P(x. ). . Trees. Spring 2014. Sukumar Ghosh. What is a tree?. Rooted tree: recursive definition. Rooted tree terminology. Rooted tree terminology. A . subtree. Rooted tree terminology. Important properties of trees.  . A Sampled or discrete time signal x[n] is just an ordered sequence of values corresponding to the index n that embodies the time history of the signal. A discrete signal is represented by a sequence of values x[n] ={1,2,. Introductory Lecture. What is Discrete Mathematics?. Discrete mathematics is the part of mathematics devoted to the study of discrete (as opposed to continuous) objects.. Calculus deals with continuous objects and is not part of discrete mathematics. .  . A Sampled or discrete time signal x[n] is just an ordered sequence of values corresponding to the index n that embodies the time history of the signal. A discrete signal is represented by a sequence of values x[n] ={1,2,. Instructor: Kecheng Yang. yangk@cs.unc.edu. We meet . at FB 009, 1:15 PM – 2:45 PM, . MoTuWeThFr. Course Homepage. : . http://cs.unc.edu/~. yangk/comp283/home.html. About Me. I am a fourth-year (fifth-year next fall) Ph.D. student.. 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?. Relations. Spring. 2015. Sukumar Ghosh. What is a relation?. Let A, B be two sets. A . binary relation . R is a subset of A X B.. Example. Let A = {Alice, Bob, Claire, Dan) be a set students,. and B= {CS101, CS201, CS202) be a set of courses. Then,. & . Information Communication Technology, Ahmadu Bello University, Zaria.. DCS104-Discrete Structures II. By. Aliyu Garba (galiyu@abu.edu.ng. ). Mrs. . Esther . G.B (. ecekechukwu@abu.edu.ng). Discrete Structures II. Announcements:. HW . 4. . posted, . due Tues May 8 at 4:30pm. . No late HWs as solutions will be available immediately.. Midterm details on next page. HW . 5 will . be posted . Fri May 11. , . due . Equations. Outline. • Discrete-time state equation from . solution of . continuous-time state equation.. • Expressions in terms of . constituent matrices. .. • Example.. 2. Solution of State Equation. Fall 2010. Sukumar Ghosh. Sample Space. DEFINITION. . The . sample space S . of an experiment is the set . of possible outcomes. An . event. . E. is a . subset. of the sample space.. What is probability?.