ics141-lecture08-Functions

ics141-lecture08-Functions - 8-1ICS 141: Discrete...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 8-1ICS 141: Discrete Mathematics I (Spr 2008)University of HawaiiICS141: Discrete Mathematics for Computer Science IDepartment of Information and Computer SciencesUniversity of HawaiiStephen Y. Itoga8-2ICS 141: Discrete Mathematics I (Spr 2008)University of HawaiiLecture 8Chapter 2. Basic Structures2.2. Set Operations2.3 Functions8-3ICS 141: Discrete Mathematics I (Spr 2008)University of HawaiiSome material in these slides were taken/adapted from the slides made by Prof. Michael P. Frank and Prof. Jonathan L. Gross which are provided through the publisher of Discrete Mathematics and Its Applications written by Kenneth H. Rosen.Some slides are from Prof. Baek8-4ICS 141: Discrete Mathematics I (Spr 2008)University of HawaiiPreviouslyVariable objects x, y, z; sets S, T, U.Literal set {a, b, c} and set-builder notation {x|P(x)}.relational operator, and the empty set .Set relations =, , , , , , etc.Venn diagrams.Cardinality |S| and infinite sets N, Z, R.Power sets P(S).Cartesian product ST.Set operators: , , -.8-5ICS 141: Discrete Mathematics I (Spr 2008)University of HawaiiGeneralized UnionBinary union operator: ABn-ary union:A1A2An= ((((A1A2))An)(grouping & order is irrelevant)Big U notation:More generally, union of the sets Aifor i I:For infinite number of sets:-IiiAniiA1==1iiA8-6ICS 141: Discrete Mathematics I (Spr 2008)University of HawaiiGeneralized IntersectionBinary intersection operator: ABn-ary intersection:A1A2An((((A1A2))An)(grouping & order is irrelevant)Big Arch notation:More generally, intersection of the sets Aifor i I:For infinite number of sets:niiA1=IiiA=1iiA8-7ICS 141: Discrete Mathematics I (Spr 2008)University of Hawaii}1{}3,2,1{}2,1{}1{3211====AAAAiiGeneralized Intersection ExamplesLet Ai= {i, i+1, i+2,}. Then,Let Ai= {1, 2, 3,,i } for i= 1, 2, 3,. Then,,...}2,1,{,...}2,1,{,...}4,3,2{,...}3,2,1{3211++=++===nnnnnnAAAAAnnii8-8...
View Full Document

This note was uploaded on 09/12/2008 for the course ICS 141 taught by Professor Idk during the Fall '08 term at Hawaii.

Page1 / 22

ics141-lecture08-Functions - 8-1ICS 141: Discrete...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online