CSE115/ENGR160 Discrete Mathematics 02/14/12 Ming-Hsuan Yang UC Merced * * * * * * * * * 2.2 Set operations Union: the set that contains those elements that are ...
CSE115/ENGR160 Discrete Mathematics 02/17/11 Ming-Hsuan Yang UC Merced * * * * * * * * * * * * * * * * * 2.3 Functions Assign each element of a set to a particular ...
... matrices are better choice Suppose that R is a relation from A={a1, a2, ... Example Powers Rn Representing relations using digraphs Example Example ...
Title: CS173: Discrete Math Author: Cinda Heeren User Last modified by: mhyang Created Date: 8/25/2005 3:39:22 AM Document presentation format: On-screen Show (4:3)
Title: CS173: Discrete Math Author: Cinda Heeren User Last modified by: mhyang Created Date: 8/25/2005 3:39:22 AM Document presentation format: On-screen Show (4:3)
... n=10 Related to big-Omega and big-Theta notations in algorithm design * Big-O notation Let f ... is big-oh of g(x) * Big-O notation The constants C and k are ...
Title: CS173: Discrete Math Author: Cinda Heeren User Last modified by: mhyang Created Date: 8/25/2005 3:39:22 AM Document presentation format: On-screen Show (4:3)
CSE115/ENGR160 Discrete ... we will show there are unsolvable problems The problem is the halting problem * The halting problem It asks whether there is a ...
... functions Example Example f and f-1 Graphs of functions Example 2.4 Sequences Sequences Geometric progression Arithmetic progression String Special integer ...
CSE115/ENGR160 Discrete Mathematics 04/14/11 Ming-Hsuan Yang UC Merced * * * * * * * * * * * * * * * * * * * Example Among 100 people there are at least 100/12 ...
CSE115/ENGR160 Discrete Mathematics 03/17/11 Ming-Hsuan Yang UC Merced * 3.6 Integers and algorithms Base b expansion of n For instance, (245)8=2*82+4*8+5=165 ...
* Permutation How many ways can we select 3 ... r-permutation r-permutation r-permutation Example Combinations r-combination Example r-combination r ...
CSE115/ENGR160 Discrete Mathematics 05/03/12 Ming-Hsuan Yang UC Merced * * * * * * * * * * * 9.4 Equivalence relation In traditional C, only the first 8 characters of ...
CSE115/ENGR160 Discrete Mathematics 01/18/11 Ming-Hsuan Yang UC Merced * * * * * * * * * * * * * * * Example Let p denote The automated reply can be sent Let q ...
So, We conclude that if x and y are distinct positive real numbers, then their arithmetic mean is greater than their geometric mean * Example Suppose that two ...
Game should extend some graphical component to allow us to put it on the frame ... Choice 1 was the winner. So Game extends a Graphical Component we picked a Column ...
In Java an array is an object that contains a collection of objects, all of the same type. ... length attribute gives the number of elements in an array. ...
Problem solving. Techniques. Abstract Data Types (ADT) Java concepts. Algorithms - Recursion ... Go through the exercises at the end of relevant chapters using ...
Collections & Definite Loops. CSE 115. Spring 2006. April 10, 12, & 14 2006. Discussion of PacMan ... and PacMan. Note that in the CSE115.Pacman.BoardPositions ...