Symbol
|
Symbol Name
|
Meaning / definition
|
Example
|
{ }
|
set
|
A = {3,7,9,14},
B = {9,14,28} |
|
A ∩ B
|
intersection
|
objects that belong to set A and set B
|
A ∩ B = {9,14}
|
A ∪ B
|
union
|
objects that belong to set A or set B
|
A ∪ B = {3,7,9,14,28}
|
A ⊆ B
|
subset
|
subset has fewer elements or equal to the
set
|
{9,14,28} ⊆{9,14,28}
|
A ⊂ B
|
proper subset / strict subset
|
subset has fewer elements than the set
|
{9,14} ⊂{9,14,28}
|
A ⊄ B
|
not subset
|
left set not a subset of right set
|
{9,66} ⊄{9,14,28}
|
A ⊇ B
|
superset
|
set A has more elements or equal to the set
B
|
{9,14,28} ⊇{9,14,28}
|
A ⊃ B
|
proper superset / strict superset
|
set A has more elements than set B
|
{9,14,28} ⊃{9,14}
|
A ⊅ B
|
not superset
|
set A is not a superset of set B
|
{9,14,28} ⊅{9,66}
|
2A
|
power set
|
all subsets of A
|
|
 |
power set
|
all subsets of A
|
|
A = B
|
equality
|
both sets have the same members
|
A={3,9,14},
B={3,9,14}, A=B |
Ac
|
complement
|
all the objects that do not belong to set A
|
|
A \ B
|
relative complement
|
objects that belong to A and not to B
|
A = {3,9,14},
B = {1,2,3}, A-B = {9,14} |
A - B
|
relative complement
|
objects that belong to A and not to B
|
A = {3,9,14},
B = {1,2,3}, A-B = {9,14} |
A ∆ B
|
symmetric difference
|
objects that belong to A or B but not to
their intersection
|
A = {3,9,14},
B = {1,2,3}, A ∆ B = {1,2,9,14} |
A ⊖ B
|
symmetric difference
|
objects that belong to A or B but not to
their intersection
|
A = {3,9,14},
B = {1,2,3}, A ⊖ B = {1,2,9,14} |
a∈A
|
element of
|
set membership
|
A={3,9,14}, 3 ∈ A
|
x∉A
|
not element of
|
no set membership
|
A={3,9,14}, 1 ∉ A
|
(a,b)
|
ordered pair
|
collection of 2 elements
|
|
A×B
|
cartesian product
|
set of all ordered pairs from A and B
|
|
|A|
|
cardinality
|
the number of elements of set A
|
A={3,9,14}, |A|=3
|
#A
|
cardinality
|
the number of elements of set A
|
A={3,9,14}, #A=3
|
 |
aleph-null
|
infinite cardinality of natural numbers set
|
|
  |
aleph-one
|
cardinality of countable ordinal numbers set
|
|
Ø
|
empty set
|
Ø = { }
|
C = {Ø}
|
 |
set of all possible values
|
||
| + | addition sign, plus sign |
| - | subtraction sign, minus sign |
| x or ⋅ | multiplication sign |
| ÷ or / | division sign |
| = | equal |
| ≠ | not equal |
| < | less than |
| > | greater than |
| ≤ | less than or equal to |
| ≥ | greater than or equal to |
| # | number sign |
| ( ) | parentheses |
| & | and (ampersand) |
| % | percent |
| π | pi |
| |x| | absolute value of x |
| √ | square root |
| ! | factorial |
| ± | plus or minus |
| ˆ | caret - to the power of |
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