Lebesgue integration is a meme

>>8939018
Almost everything is a meme.

never heard of lebonese integration, is that in calc iv?

>>8939018
is this another "I don't understand infinitesimality" thread?

> super duper thin rectangles

File: 6f65aa6310ca298705c956747ec8983f.jpg (359KB, 815x608px) Image search: [Google]

359KB, 815x608px

>>8939093
>lebonese integration
topkek

Isn't this just a reconfigured retrospective Tai's method

File: cce.png (250KB, 680x416px) Image search: [Google]

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>>8939233
>Tai's method

>>8939018
>not using aesthetically superior diagonal rectangles

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>>8939115

>>8939018
>Not using Daniell integration

Formal integration is a meme anyway. All the interesting and worthwhile integration is done numerically.

>>8939018
Except for the fact it is way more useful because it can be formulated on any measure space.

>>8939111
So many doesn't seem to get it, I really don't understand the difficulty with it.

>>8939329

This, if you care about analytic solutions you're an autist with no skin in the game.

>it's 2017 and there isn't a method to exactly measure the area under a curve

>>8939329
every valid numerical technique is justified using formal integration. The error bounds are proved using formal integration.

>>8939018
>not using john gabriel's integration formulas.

>>8939251
>>8939310
>>8939439
>Not using Tai's Method

>>8939384
And how you define area under a curve without integrals

>>8939445
What kind of idiot needs to have defined what's the area under a curve? Unless he's literally blind.

>>8939384
>2017
uh anon tai's method was discovered in 1994

>>8939602
>doing math of the 21st century with math of the -4 century

OP is your name Jason?

>>8939665
no it's not, sorry NSA

>>8939354
There's a reason why the greeks didn't develop calculus, playing with infinite and infinitesimals is not trivial. I'm almost concluding Real Analysis I and I'm not completely convinced of the meaning of a derivative.

Algebra on the other hand is 1+1 for me. I envy those who have an easy time with analysis.

Calculus is a meme

>>8939018
But it is strictly better then Riemann integration...

>>8939111
>infinitesimality
That is a MEME.