Chapter 2 Flashcards
N
Natural numbers {0,1,2,3….}
Z
Integers
Z+
Positive integers
Q
Rational numbers
R
Real numbers
C
Complex numbers
Singleton set
Set with one element
Order doesn’t matter in a ___
Set
Repetition doesn’t matter in a ____
set
a∈A
a is an element of A
A⊆B
A is a subset of B
A⊂B
A is a proper set of B
Proper sets
Sets that don’t include elements of a larger set
Cardinality
Size of set
____ is a subset of any set
The null set
Power sets
Set of all subsets
Set of n elements has ____ subsets
2^n subsets (includes null set)
Cartesian product
Set of all ORDERED pairs
Num of pairs in cartesian product
Equals n of first set x n of second set
A - B (difference)
elems in A but not in B
f: A –> B [Domain?]
A
f: A –> B [CoDomain?]
B
Injective function
One-to-one
Surjective function
If ever elem of codomain has a projection onto it from domain
Bijection
Function that is both injective and surjective
0! =
1
Exponential function
b^x
Polynomial function
ax^n…
logb(mn)
logb(m) + logb(n)
logb(m/n)
logb(m) – logb(n)
logb(m^n)
n · logb(m)
Sequence
ORDERED list
Geometric progression
Sequence with common ratio b/w elems
Arithmetic progression
Sequence with common real difference +nd
Matrix notation ai1
1st elem of i’th row
Matrix notation a2j
2nd elem of j’th column
Addition of matrices rules
Must be same size
Multiplication of matrices rules
Inside dimensions must be equal
Transposition
Interchange of rows and columns
