Chapter 2 Flashcards

1
Q

N

A

Natural numbers {0,1,2,3….}

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2
Q

Z

A

Integers

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3
Q

Z+

A

Positive integers

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4
Q

Q

A

Rational numbers

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5
Q

R

A

Real numbers

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6
Q

C

A

Complex numbers

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7
Q

Singleton set

A

Set with one element

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8
Q

Order doesn’t matter in a ___

A

Set

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9
Q

Repetition doesn’t matter in a ____

A

set

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10
Q

a∈A

A

a is an element of A

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11
Q

A⊆B

A

A is a subset of B

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12
Q

A⊂B

A

A is a proper set of B

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13
Q

Proper sets

A

Sets that don’t include elements of a larger set

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14
Q

Cardinality

A

Size of set

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15
Q

____ is a subset of any set

A

The null set

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16
Q

Power sets

A

Set of all subsets

17
Q

Set of n elements has ____ subsets

A

2^n subsets (includes null set)

18
Q

Cartesian product

A

Set of all ORDERED pairs

19
Q

Num of pairs in cartesian product

A

Equals n of first set x n of second set

20
Q

A - B (difference)

A

elems in A but not in B

21
Q

f: A –> B [Domain?]

A

A

22
Q

f: A –> B [CoDomain?]

A

B

23
Q

Injective function

A

One-to-one

24
Q

Surjective function

A

If ever elem of codomain has a projection onto it from domain

25
Q

Bijection

A

Function that is both injective and surjective

26
Q

0! =

A

1

27
Q

Exponential function

A

b^x

28
Q

Polynomial function

A

ax^n…

29
Q

logb(mn)

A

logb(m) + logb(n)

30
Q

logb(m/n)

A

logb(m) – logb(n)

31
Q

logb(m^n)

A

n · logb(m)

32
Q

Sequence

A

ORDERED list

33
Q

Geometric progression

A

Sequence with common ratio b/w elems

34
Q

Arithmetic progression

A

Sequence with common real difference +nd

35
Q

Matrix notation ai1

A

1st elem of i’th row

36
Q

Matrix notation a2j

A

2nd elem of j’th column

37
Q

Addition of matrices rules

A

Must be same size

38
Q

Multiplication of matrices rules

A

Inside dimensions must be equal

39
Q

Transposition

A

Interchange of rows and columns