Notational question regarding repeated composition and multiplication
$begingroup$
Assume $A$ to be an operator, $B$ a scalar function - the details should not matter too much here.
I know that for an element $c$ the repeated application of the operator can be written as
$$
A(A(A(c)))=(Acirc Acirc A)(c)=A^3(c).
$$
I am looking for a notation of the repeated composition
$$
A(A(A(c)cdot B)cdot B)cdot B
$$
where $cdot$ is multiplication.
notation
asked Dec 5 '18 at 19:15
emmaemma
623419
$endgroup$
add a comment |
$begingroup$
Assume $A$ to be an operator, $B$ a scalar function - the details should not matter too much here.
I know that for an element $c$ the repeated application of the operator can be written as
$$
A(A(A(c)))=(Acirc Acirc A)(c)=A^3(c).
$$
I am looking for a notation of the repeated composition
$$
A(A(A(c)cdot B)cdot B)cdot B
$$
where $cdot$ is multiplication.
notation
asked Dec 5 '18 at 19:15
emmaemma
623419
$endgroup$
add a comment |
$begingroup$
Assume $A$ to be an operator, $B$ a scalar function - the details should not matter too much here.
I know that for an element $c$ the repeated application of the operator can be written as
$$
A(A(A(c)))=(Acirc Acirc A)(c)=A^3(c).
$$
I am looking for a notation of the repeated composition
$$
A(A(A(c)cdot B)cdot B)cdot B
$$
where $cdot$ is multiplication.
notation
asked Dec 5 '18 at 19:15
emmaemma
623419
$endgroup$
Assume $A$ to be an operator, $B$ a scalar function - the details should not matter too much here.
I know that for an element $c$ the repeated application of the operator can be written as
$$
A(A(A(c)))=(Acirc Acirc A)(c)=A^3(c).
$$
I am looking for a notation of the repeated composition
$$
A(A(A(c)cdot B)cdot B)cdot B
$$
where $cdot$ is multiplication.
notation
notation
asked Dec 5 '18 at 19:15
emmaemma
623419
asked Dec 5 '18 at 19:15
emmaemma
623419
asked Dec 5 '18 at 19:15
emmaemma
623419
asked Dec 5 '18 at 19:15
emmaemma
623419
asked Dec 5 '18 at 19:15
emmaemma
623419
623419
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
I doubt that there is established notation for this construction. If you need it often in something you are writing, define one for yourself - perhaps one of
$$
F(A,c,B)
$$
or
$$
(A,B)^n(c).
$$
or
$$
A^n(c;B)
$$
depending on how much you want to stress each of $A$, $B$ and $c$.
answered Dec 5 '18 at 19:23
Ethan BolkerEthan Bolker
42.4k549112
$endgroup$
$begingroup$
Hm I was hoping there would be some established notation that I didn't know about. But yeah, it's always possible to come up with notation..
$endgroup$
– emma
Dec 11 '18 at 9:34
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
I doubt that there is established notation for this construction. If you need it often in something you are writing, define one for yourself - perhaps one of
$$
F(A,c,B)
$$
or
$$
(A,B)^n(c).
$$
or
$$
A^n(c;B)
$$
depending on how much you want to stress each of $A$, $B$ and $c$.
answered Dec 5 '18 at 19:23
Ethan BolkerEthan Bolker
42.4k549112
$endgroup$
$begingroup$
Hm I was hoping there would be some established notation that I didn't know about. But yeah, it's always possible to come up with notation..
$endgroup$
– emma
Dec 11 '18 at 9:34
add a comment |
$begingroup$
I doubt that there is established notation for this construction. If you need it often in something you are writing, define one for yourself - perhaps one of
$$
F(A,c,B)
$$
or
$$
(A,B)^n(c).
$$
or
$$
A^n(c;B)
$$
depending on how much you want to stress each of $A$, $B$ and $c$.
answered Dec 5 '18 at 19:23
Ethan BolkerEthan Bolker
42.4k549112
$endgroup$
$begingroup$
Hm I was hoping there would be some established notation that I didn't know about. But yeah, it's always possible to come up with notation..
$endgroup$
– emma
Dec 11 '18 at 9:34
add a comment |
$begingroup$
I doubt that there is established notation for this construction. If you need it often in something you are writing, define one for yourself - perhaps one of
$$
F(A,c,B)
$$
or
$$
(A,B)^n(c).
$$
or
$$
A^n(c;B)
$$
depending on how much you want to stress each of $A$, $B$ and $c$.
answered Dec 5 '18 at 19:23
Ethan BolkerEthan Bolker
42.4k549112
$endgroup$
I doubt that there is established notation for this construction. If you need it often in something you are writing, define one for yourself - perhaps one of
$$
F(A,c,B)
$$
or
$$
(A,B)^n(c).
$$
or
$$
A^n(c;B)
$$
depending on how much you want to stress each of $A$, $B$ and $c$.
answered Dec 5 '18 at 19:23
Ethan BolkerEthan Bolker
42.4k549112
answered Dec 5 '18 at 19:23
Ethan BolkerEthan Bolker
42.4k549112
answered Dec 5 '18 at 19:23
Ethan BolkerEthan Bolker
42.4k549112
answered Dec 5 '18 at 19:23
Ethan BolkerEthan Bolker
42.4k549112
42.4k549112
$begingroup$
Hm I was hoping there would be some established notation that I didn't know about. But yeah, it's always possible to come up with notation..
$endgroup$
– emma
Dec 11 '18 at 9:34
add a comment |
$begingroup$
Hm I was hoping there would be some established notation that I didn't know about. But yeah, it's always possible to come up with notation..
$endgroup$
– emma
Dec 11 '18 at 9:34
$begingroup$
Hm I was hoping there would be some established notation that I didn't know about. But yeah, it's always possible to come up with notation..
$endgroup$
– emma
Dec 11 '18 at 9:34
$begingroup$
Hm I was hoping there would be some established notation that I didn't know about. But yeah, it's always possible to come up with notation..
$endgroup$
– emma
Dec 11 '18 at 9:34
add a comment |
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