Chapter 2 - Basic Structures: Sets, Functions, Sequences, Sums, and Matrices

Question 1

set

Answer 1

a collection of elements

Question 2

element, a member of a set

Answer 2

an object in a set

Question 3

roster method

Answer 3

a method that describes a set by listing its elements

Question 4

set builder notation

Answer 4

the notation that describes a set by stating a property an element must have to be a member

Question 5

∅ (empty set, null set)

Answer 5

the set with no members

Question 6

S = T (set equality)

Answer 6

S and T have the same elements

Question 7

S ⊆ T (S is a subset of T)

Answer 7

every element of D is also an element of T

Question 8

S ⊂ T (S is a proper subset of T)

Answer 8

S is a subset of T and S ≠ T

Question 9

A ∪ B (the union of A and B)

Answer 9

the set containing those elements that are in at least one of A and B

Question 10

A ∩ B (the intersection of A and B)

Answer 10

the set containing those elements that are in both A and B

Question 11

A — B (the difference of A and B)

Answer 11

the set containing those elements that are in A but not in B

Question 12

A ⊕ B (the symmetric difference of A and B)

Answer 12

the set containing those elements in exactly one of A and B

Question 13

function from A to B

Answer 13

an assignment of exactly one element of B to each element of A

Question 14

domain of ƒ

Answer 14

the set A, where ƒ is a function from A to B

Question 15

codomain of ƒ

Answer 15

the set B, where ƒ is a function from A to B

Question 16

empty string

Answer 16

a string of length zero

Question 17

Universal Statement

Answer 17

True for all elements in the set (for all)

Question 18

Conditional statement

Answer 18

If one thing is true then some other thing also has to be true (p—>q)

Question 19

Existential statement

Answer 19

At least one thing is true (or)