Set notation - Lecture 1 Flashcards
1
Q
⋀ &
A
AND
2
Q
V
A
OR
3
Q
¬
A
NOT
4
Q
⇒
A
IMPLIES
5
Q
∀𝑥
A
means for all 𝑥
6
Q
∃ 𝑥
A
there exists a value of 𝑥
7
Q
∈ ℕ
A
means is a element of the natural numbers
8
Q
ℝ
A
the set of real numbers
9
Q
ℝ∗
A
the set of non-zero real numbers
10
Q
ℝ^2
A
on the (x,y) plane
11
Q
ℝ^3
A
on the (x,y,z) plane
12
Q
ℚ
A
the set of rational numbers
13
Q
ℤ
A
the set of integers
14
Q
ℕ
A
the natural numbers
15
Q
∈
A
part of a set
16
Q
∉
A
not part of set
17
Q
| :
:
A
such that
18
Q
{}
A
Normal Set brackets
19
Q
] [
A
not including end terms - Open interval
20
Q
[ ]
A
Including end terms - Closed interval
21
Q
( )
A
For coordinates
22
Q
∅
A
Empty Set
23
Q
𝐴 ⊆ 𝐵
A
A is a subset of B
24
Q
𝐵 ⊇ A
A
B contains A
25
⋂
Intersection
26
∪
Union
27
T | T | = T
T | F | = F
F | T | = T
F | F | = T
Implies table
28
Natural Numbers def
any number that can be written as a fraction, where both the numerator and the denominator are integers, and the denominator is not equal to zero. infinite but countable.
29
Integers def
a whole number that can be positive, negative, or zero
30
Natural Numbers def
all positive integers from 1 to infinity
31
Real Numbers def
are not imaginary
32
Rational Numbers def
Can take the form 𝑎/𝑏, where 𝑎 and 𝑏 are integers.
33
Irrational Numbers def
real number that cannot be expressed in the for of p/q, where p and q are integers, q≠0.
