/sci/ - Science & Math » Thread #13606951

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Anonymous Sun 05 Sep 18:55:31 2021 No.13606951 View Reply Original Report

Quoted By: >>13606958 >>13606974 >>13607065 >>13607214

What's wrong, you're not a brainlet, right anon?

Anonymous

Anonymous Sun 05 Sep 2021 18:57:20 No.13606958 Report

Quoted By: >>13606964 >>13606973

>>13606951
fgfgfgfgfgfgfgfg.....fgfgf n-times

Anonymous

Anonymous Sun 05 Sep 2021 18:59:12 No.13606964 Report

Quoted By: >>13606968 >>13606973 >>13606991 >>13607542 >>13607881

>>13606958
I meant the nth derivative you fucking fag, I prefer this notation and it should be clear from the context.

Anonymous

Anonymous Sun 05 Sep 2021 19:01:24 No.13606968 Report

Quoted By:

>>13606964
I don't care what you've meant, I've answered the question that you've asked.

Anonymous

Anonymous Sun 05 Sep 2021 19:02:16 No.13606973 Report

Quoted By: >>13606992

>>13606958
Fpbp.
>>13606964
>it should be clear from the context.
It isn't tbqhwyf.
At least write $(f \circ g)^{(n)}$ .

Anonymous

Anonymous Sun 05 Sep 2021 19:02:27 No.13606974 Report

Quoted By:

>>13606951
>find a formula
no math class for grown ups ask you this. I also have no context for the notation. Could be some weird finite group action for all I care. Garbage thread.

Anonymous

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Anonymous Sun 05 Sep 2021 19:06:15 No.13606991 Report

Quoted By:

>>13606964
>use wrong notation
>DURRRRRR I OBVIOUSLY MEANT SOMETHING COMPLETELY DIFFERENT
Kill yourself you dumb sack of shit

Anonymous

Anonymous Sun 05 Sep 2021 19:06:37 No.13606992 Report

Quoted By: >>13607013

>>13606973
>It isn't tbqhwyf.
Do you know what $C^{\infty}$
means? I'll assume you do, in wich case, yes, it is clear.

Anonymous

Anonymous Sun 05 Sep 2021 19:14:31 No.13607013 Report

Quoted By: >>13607047

>>13606992
how would you denote the n-fold composition of f?g for smooth f and g then?

Anonymous

Anonymous Sun 05 Sep 2021 19:21:09 No.13607047 Report

Quoted By: >>13607155

>>13607013
The same way, but the composition formula isn't dependent on the functions being smooth, hence I would assume we where talking about derivatives.

Anonymous

Anonymous Sun 05 Sep 2021 19:27:09 No.13607065 Report

Quoted By: >>13607180

>>13606951
Sum[ f^(k)(g)*B_(n,k)(g,g',g'',...) ]

Anonymous

Anonymous Sun 05 Sep 2021 19:50:15 No.13607155 Report

Quoted By: >>13607165

>>13607047
so if you wanted to ask this question about smooth functions f,g and the n-fold composition of f?g instead of the n-th derivative, you would have written the exact same thing

Anonymous

Anonymous Sun 05 Sep 2021 19:53:08 No.13607165 Report

Quoted By:

>>13607155
I wouldn't have asked about n fold composition of smooth functions to begin with since I might aswell make things more general and talk about arbitrary functions.

Anonymous

Anonymous Sun 05 Sep 2021 19:56:15 No.13607180 Report

Quoted By:

>>13607065
When does g occur in the sum?

Anonymous

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Anonymous Sun 05 Sep 2021 20:06:21 No.13607214 Report

Quoted By: >>13607253 >>13607269

>>13606951

https://en.wikipedia.org/wiki/Fa%C3%A0_di_Bruno%27s_formula

Anonymous

Anonymous Sun 05 Sep 2021 20:18:16 No.13607253 Report

Quoted By:

>>13607214
Now generalize to arbitrary compositions.

Anonymous

Anonymous Sun 05 Sep 2021 20:23:36 No.13607269 Report

Quoted By:

>>13607214
look like Italy, Pisa

Anonymous

Anonymous Sun 05 Sep 2021 21:40:46 No.13607542 Report

Quoted By:

>>13606964
ahh yes, well then its quite easy

lim [n -> infinity] (f.g)^n(x) = 0
\thread

Anonymous

Anonymous Sun 05 Sep 2021 23:39:13 No.13607881 Report

Quoted By:

>>13606964
>I prefer this notation
Nobody uses such notation for derivatives you autist

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