MATHEMATICA TUTORIAL

Relational and Logical Operators

x==y	equal (also input as x y)
x!=y	unequal (also input as x y)
x>y	greater than
x>=y	greater than or equal to (also input as x y)
x<y	less than
x<=y	less than or equal to (also input as x y)
x==y==z	all equal
x!=y!=z	all unequal (distinct)
x>y>z, etc.	strictly decreasing, etc.

Relational operators.

This tests whether

is less than

. The result is False.

Out[1]=

Not all of these numbers are unequal, so this gives False.

Out[2]=

You can mix

and

Out[3]=

Since both of the quantities involved are numeric, Mathematica can determine that this is true.

Out[4]=

Mathematica does not know whether this is true or false.

Out[5]=

!p	not (also input as p)
p&&q&&...	and (also input as p q ... )
p\|\|q\|\|...	or (also input as p q ... )
Xor[p,q,...]	exclusive or (also input as p q ... )
Nand[p,q,...] and Nor[p,q,...]	nand and nor (also input as and )
If[p,then,else]	give then if p is True, and else if p is False
LogicalExpand[expr]	expand out logical expressions