/sci/ - Science & Math » Thread #13386574

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Anonymous Tue 13 Jul 00:42:43 2021 No.13386574 View Reply Original Report

Quoted By: >>13386577 >>13386579 >>13387693 >>13387801 >>13387857

>The result is derived using infinitesimals

Anonymous

Anonymous Tue 13 Jul 2021 00:43:25 No.13386577 Report

Quoted By:

>>13386574
>your dick

Anonymous

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Anonymous Tue 13 Jul 2021 00:45:47 No.13386579 Report

Quoted By:

>>13386574
>The derivation of result is left as an exercise for readers

Anonymous

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Anonymous Tue 13 Jul 2021 04:19:15 No.13386973 Report

Quoted By:

>Real numbers
>Infinite sets

Anonymous

Anonymous Tue 13 Jul 2021 11:20:53 No.13387693 Report

Quoted By:

>>13386574
>every engineering textbook ever

Anonymous

Anonymous Tue 13 Jul 2021 11:56:18 No.13387801 Report

Quoted By:

>>13386574
The same concept pops up in economics as "marginal rates".

Anonymous

Anonymous Tue 13 Jul 2021 12:10:58 No.13387857 Report

Quoted By: >>13387891 >>13388115

>>13386574
our math prof says this is not acceptable but in physics and engineering classes we are always doing this shit.

Anonymous

Anonymous Tue 13 Jul 2021 12:19:24 No.13387891 Report

Quoted By: >>13387968

>>13387857
it IS possible mathematically, but you would need to introduce hyperreals first, which is usually not the standard, mainstream way of introducing calculus

Anonymous

Anonymous Tue 13 Jul 2021 12:48:00 No.13387968 Report

Quoted By: >>13387971 >>13388240

>>13387891
Give me an example of an ultrafilter on the naturals, please.

Anonymous

Anonymous Tue 13 Jul 2021 12:49:51 No.13387971 Report

Quoted By:

>>13387968
Nonprincipal ultrafilter*

Anonymous

Anonymous Tue 13 Jul 2021 13:36:03 No.13388115 Report

Quoted By:

>>13387857
It was acceptable in happier times

Anonymous

Anonymous Tue 13 Jul 2021 14:10:29 No.13388240 Report

Quoted By: >>13388250

>>13387968
Give a non-set theoretical application of an ultrafilter, please

Anonymous

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Anonymous Tue 13 Jul 2021 14:13:55 No.13388250 Report

Quoted By:

>>13388240
If I remember correctly, Dugundji proves Tihonov's theorem using those. One can argue, obviously, that open covers and their finite subcovers, and actually all of point set topology is essentially just set theory.

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