Chapter 2 Flashcards

(39 cards)

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?]

22
Q

f: A –> B [CoDomain?]

23
Q

Injective function

24
Q

Surjective function

A

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

25
Bijection
Function that is both injective and surjective
26
0! =
1
27
Exponential function
b^x
28
Polynomial function
ax^n...
29
logb(mn)
logb(m) + logb(n)
30
logb(m/n)
logb(m) – logb(n)
31
logb(m^n)
n · logb(m)
32
Sequence
ORDERED list
33
Geometric progression
Sequence with common ratio b/w elems
34
Arithmetic progression
Sequence with common real difference +nd
35
Matrix notation ai1
1st elem of i'th row
36
Matrix notation a2j
2nd elem of j'th column
37
Addition of matrices rules
Must be same size
38
Multiplication of matrices rules
Inside dimensions must be equal
39
Transposition
Interchange of rows and columns