Maple Syntax
As much as possible, Maple conforms to standard linear expression notation and precedence rules. The syntactic expression operators in Maple are shown below in order of precedence (lowest to highest), where all the operators in a given group have the same precedence.
a || b
string concatenation
:-
use statement
::
type based pattern match
%
the ditto operator
a &name b
user-definable operator
&name a
unary case
a !
factorial
a ^ b
exponentiation
a @@ b
operator exponentiation
a * b / c...
arithmetic operations
a intersect b
set intersection
a @ b
operator composition
a . b
dot product or matrix multiplication
a + b - c...
+ a
- a
a union b
set union and difference
a minus b
a mod b
an expression or value mod another value
subset
subset operator
a .. b
a range of values
a < b
comparison operations
a <= b
a = b
a <> b
a > b
a >= b
in
tests for set and list membership
a $ b
$ sequence generator
not a
logical not
a and b
logical and
a or b
logical or
xor
logical xor
implies
logical implication
a -> b
an operator (simple procedure)
a, b
a sequence of values
assuming
compute value of expression under assumptions
:=
assignment statement
( a )
a parenthesized expression (to control precedence)
' a '
unevaluated expression
{ a, b, ... }
a set
[ a, b, ... ]
a list
%1
labeled expression in the last output
a [ b ]
indexed object or selection of entries from a data structure
f ( a )
function call
An operator or function can be applied element-wise by using the element-wise syntax--a tilde (~) after the operator or function name. The precedence of element-wise operators matches that of the operator being applied element-wise.
Note: The exponentiation operators are defined to be nonassociative. Therefore, a^b^c is invalid in Maple--parentheses must be used. The other operators are left-associative, except logical NOT, which is right-associative.
For information on Maple syntax for linear algebra and matrix computations, see Linear Algebra Syntax Shortcuts.
See Also
operator
quotes
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