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/sci/ - Science & Math

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9780554 No.9780554 [Reply] [Original]

I'll start us off:

>In a completely rigorous treatment of Green's theorem it would be necessary to describe analytically what it means to traverse a closed curve in a "counterclockwise direction".

>> No.9780562

>>9780554
Makes sense to me.

>inb4 autism

>> No.9780563

>>9780554
you can do that though, that's orientation

>> No.9780568

>>9780562
autism.

>>9780563
Obviously you can do it, the point is that autists find it necessary to analytically treat even the most intuitive and simple to grasp concepts.

>> No.9780573

>>9780568
I dunno, without autists it would be "obvious" that flat objects in 3D always have two sides

>> No.9780579
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9780579

>>9780568
Maybe the mathematicans should always ask you first whats intuitive and what not.

>> No.9780583

>>9780568
>its intuitive you brainlet, that means it's true!
>brainletwojack.png

>> No.9780587

Sometimes you get the feeling that something is not only simple and intuitive, but would pose no challenge if you tried to make it rigorous. So you don't waste time with it.

But then again I'm a filthy physicist, this thread is probably not my place.

>> No.9780592

>>9780587
It turns out that it's pretty difficult to describe orientation analytically.

But engineers and physicists are satisfied with shit like the right hand rule.

>> No.9780609

>>9780592
Yes, they are satisfied with it, because they dont want to do math, they just need to apply it.

>> No.9780618

Pick a point inside the region (inb4 Jordan curve theorem), require that for all points along the curve the determinant of the matrix whose rows are the vector from the chosen point to the point on the curve and the tangent vector at that point is positive (basically bivectors). Or use winding numbers, but you need Green's theorem before you can do the slightest complex analysis.