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 .
Not all of these numbers are unequal, so this gives
False .
You can mix and .
Since both of the quantities involved are numeric, Mathematica can determine that this is true.
Mathematica does not know whether this is true or false.
!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
Logical operations.
Both tests give
True , so the result is
True .
You should remember that the logical operations , and are all double characters in Mathematica. If you have used a programming language such as C, you will be familiar with this notation.
Mathematica does not know whether this is true or false.
Mathematica leaves this expression unchanged.