PPT-CS2210(22C:19) Discrete Structures

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. 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 . Integers and Modular Arithmetic . Spring 2014. Sukumar Ghosh. Preamble. Historically, . number theory . has been a beautiful area of . study in . pure mathematics. . However, in modern times, . number theory is very important in the . Introduction and . Scope. Propositions. Fall 2011. Sukumar Ghosh. The Scope. Discrete . mathematics. . studies mathematical . structures that are . fundamentally . discrete. ,. . not . supporting . 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 . 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 . 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. . Structures. Introduction and Scope:. Propositions. Spring 2015. Sukumar Ghosh. The Scope. Discrete . mathematics. . studies mathematical . structures that are . fundamentally . discrete. ,. . not . 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.. Marek . Zrałek. University of Silesia, Katowice. Workshop on . Discrete Symmetries and Entanglement. 10. 06. 2017, . Kraków. Outline. Introduction. Discrete symmetries in Space Time and charge . c. 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,. 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 . Induction and Recursion. Fall . 2018. Sukumar Ghosh. What is mathematical induction?. It is a method of proving that something holds.. Suppose we have an . infinite ladder. , and we want to know. if we . Chapter 5. Discrete-Time Process Models. Discrete-Time Transfer Functions. The input to the continuous-time system . G. (. s. ) is the signal:. The system response is given by the convolution integral:. �EJC� );:d)$N#)3S)ePG)[:P)f\))G)c')+0)H)c')N-22C,)E44/+/OC)g:)L6) !"#$%&'()V!%W)�&"�,"#1+#$&")+"'X&1)%=DD,1),Y�H+".,5)"CC4C4)/25 8BJ)/1)/*)E)3Q013QE+C)J-22C,)0,)/*)E