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Composition
Composition[
,
,
, ... ] represents a composition of the functions , , , ... .
Composition allows you to build up compositions of functions which can later be applied to specific arguments. Example: Composition[a, b, c][x] . Composition objects containing Identity or InverseFunction[
f
] are automatically simplified when possible. Composition has the attributes Flat and OneIdentity. a
@
b
@
c gives a
[
b
[
c
]]. a
//
b
//
c gives c
[
b
[
a
]]. See the Mathematica book: Section 2.2.9. See also: Nest, Function.
Further Examples
This generates a function that is the composition of these three trigonometric functions.
In[1]:= 
Out[1]= 
You can use this function to evaluate symbolic and numeric quantities.
In[2]:= 
Out[2]= 
In[3]:= 
Out[3]= 
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