Symbol

Explanation

Example

==

x == y means x and y represent the same thing or value.

1+1==2

!=

x != y means that x and y do not represent the same thing or value.

1!=2

<
>

x < y means x is less than y.
x > y means x is greater than y.

3<4
5>4

<=
>=

x <= y means x is less than or equal to y.
x >= y means x is greater than or equal to y.

3<=4
5>=4

+

4 + 6 means the sum of 4 and 6.

2+7==9

-

9 − 4 means the subtraction of 4 from 9.

8−3==5

*

3 * 4 means the multiplication of 3 by 4.

7×8==56

/

6 ⁄ 3 means the division of 6 by 3.

12⁄4==3

|…|

|x| means the distance along the real line (or across the complex plane) between x and zero.

|–5|==|5|

!

n! is the product 1 × 2 × ... × n.

4! == 1*2*3*4

&&

The statement A && B is true if A and B are both true; else it is false.

3<4&&3>2

||

The statement A || B is true if A or B (or both) are true; if both are false, the statement is false.

5>=4||5<=2

^^

The statement A ^^ B is true when either A or B, but not both, are true.

(!b)^^b

=

x = y means x is defined to be another name for y.

cosh x = (exp x+exp (-x))/2

{{,}} 

{{a,b,c}}  means the set consisting of a, b, and c.

N={{1..}} 

{{|}} 

{{x | P(x)}}  means the set of all x for which P(x) is true.

{{n|n<-N, n{{{^2<20}}=={{1,2,3,4}} }}}

{{}} 

{{}}  means the set with no elements.

{{n|n<-N,1<n{{{^2<4}}=={{}} }}}

<-
<!-

a <- S means a is an element of the set S
a <!- S means a is not an element of S.

(1/2)^-1<-N
2^-1<!-N