am_lect_11 - Announcements Quiz 1 solutions available...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Announcements Quiz 1 solutions available Graded quizzes will be returned next week
Background image of page 1

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

View Full DocumentRight Arrow Icon
Sets A set is an unordered collection of objects Three ways to define a set: 1. Describe its contents in mathematical English (e.g., the set of all integers greater than 7) 2. List all the members of the set (e.g., { 8, 9, 10, … }) 3. Use set-builder notation: { x Z x > 8 } The set of all multiples of 7: { x Z : 7 x } name of variable constraint(s) such that
Background image of page 2
Careful with set notation The sets {1, 2, 3} and {3, 2, 1} are identical {1, 2, 3, 1} and {1, 2, 3} are identical The empty set is written as φ (not { }) A set can contain objects of more than one type: — { cow, 6, ! } — { a , { a , b } } — { Z , Q } The set { } contains one object, the empty set The cardinality of set A , written as | A |, is the number of objects in A — Don’t confuse the notation with absolute value
Background image of page 3

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

View Full DocumentRight Arrow Icon
Subset Definition : Set A is a subset of set B if every object in
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 6

am_lect_11 - Announcements Quiz 1 solutions available...

This preview shows document pages 1 - 5. Sign up to view the full document.

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