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BUILT-IN MATHEMATICA SYMBOL
Pure Functions
Tutorials »
|
SlotSequence
Function
Placeholder
See Also »
|
Functional Programming
Mathematica Syntax
More About »
Slot
represents the first argument supplied to a pure function.
#
n
represents the
argument.
MORE INFORMATION
is used to represent arguments or formal parameters in pure functions of the form
body
&
or
Function
[
body
]
.
is equivalent to
Slot
.
#
n
is equivalent to
Slot
[
n
]
.
n
must be a non-negative integer.
gives the head of the function, i.e., the pure function itself.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
represents the first argument of a pure function:
Use numbered arguments:
represents the first argument of a pure function:
In[1]:=
Out[1]=
Use numbered arguments:
In[1]:=
Out[1]=
Scope
(1)
is short for #1, the first argument:
Generalizations & Extensions
(1)
stands for the whole pure function:
Applications
(1)
Programmatically create a pure function of 5 arguments:
Properties & Relations
(3)
allows function arguments to be referenced without giving them names:
Additional arguments are ignored:
stands for the sequence of all arguments:
Possible Issues
(2)
Use explicit names to set up nested pure functions:
Use
for the inner function:
Use
for the outer function:
Using nested
notation behaves differently:
If too few arguments are provided, a message is generated:
Neat Examples
(1)
A recursive definition for factorial using
:
SEE ALSO
SlotSequence
Function
Placeholder
TUTORIALS
Pure Functions
MORE ABOUT
Functional Programming
Mathematica
Syntax
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