Pre-requisites Flashcards

1
Q

Null Set

A

∅ or {}

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Set of Natural Numbers

A

N = {1, 2, 3, …}

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Set of Integers

A

Z = {…, -3, -2, -1, 0, 1, 2, 3, …}

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Set of Positive Integers

A

Z+ = {1, 2, 3, …} = N

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Set of Negative Integers

A

Z- = {…, -3, -2, -1}

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Set of Non-positive Integers

A

Z+0 = {0, 1, 2, 3, …}

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Set of Non-negative Numbers

A

Z-0 = {…, -3, -2, -1, 0}

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Set of Rational Numbers that can be expressed in the form of a/b, where a,b ∈ Z and b ≠ 0.

A

Q = {1/2, 3/4, -5/6, 7, -0.89898989, …}

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Set of Real Numbers

A

R

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Subset

A

A ⊆ B

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Proper Subset

A

A ⊂ B

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Union of 2 Sets

A

A ∪ B

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Intersection of 2 Sets

A

A ∩ B

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Complement of a Set

A

A’

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Open Interval, (a, b)

A

x ∈ R: a < x < b

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

Open Interval, [a, b]

A

x ∈ R: a ≤ x ≤ b

17
Q

a^3 ± b^3

A

(a ± b)(a^2 ∓ ab + b^2)

18
Q

x = log(a)(y)

A

y = a^x, for a > 0, a ≠ 0