The set of natural numbers  :  . 
The set of positive natural numbers  :  . 
The set of integer numbers  :  . 
The set of rational numbers  :  . 
The set of real numbers  :  . 
The set of complex numbers  :  . 
The set of prime numbers  :  . 
The empty set. 
The finite set of elements  . 
The Cartesian product of the sets  ,  , …. 
The ordered set of sets  ,  ,….
As a rule, the following notation style is supported for all variables, numbers, and indices.
Generic complex variables. 
Integer variables. 
Dummy variables used in sums and products. 
Integration dummy variables in definite integrals or integral transforms.
The element  does belong to the set  . 
The element  does not belong to the set  . 
The number  does not belong to the specified interval  .
The characteristic function of a set  has the value 1 when its argument  is an element of the specified set 𝔸, and the value 0 otherwise. 
Gives 1 if cond is true, and 0 if it is false. 
Gives expr if cond is true, and 0 otherwise. | 
the construction 
is understood to splice all occurences of 
defined by 
. 
is typically used as a sequence of an infinite or an undetermined number of elements in a list.
copies of sets 
. (Tensor product of 
sets 
.)
imply that 
and
are real.)
lies within the specified interval 
(excluding 
and 
). It is 
lies within the specified interval 
(including its ends), and 
lies within the specified interval 
(including 
and excluding 
).
. The value of 
for which the function 
: 
.
defined on the set 
is continuous and has all derivatives of orders 
.