/sci/ - Science & Math » Thread #11025618

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Anonymous Wed 02 Oct 13:22:46 2019 No.11025618 View Reply Original Report

Quoted By: >>11025632 >>11025789 >>11026105 >>11026287

At which point a polygon stops being a polygon and turns into a circle? How many sides are needed for that?

Anonymous

Anonymous Wed 02 Oct 2019 13:24:03 No.11025624 Report

Quoted By:

A polygon by definition has a finite number of sides. It never becomes a circle. A circle is not a polygon.

Anonymous

Anonymous Wed 02 Oct 2019 13:25:06 No.11025628 Report

Quoted By:

1, if you cut it in half and both curves are differentiable everywhere then it is no longer a polygon but not necessarily a circle

Anonymous

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Anonymous Wed 02 Oct 2019 13:26:33 No.11025632 Report

Quoted By: >>11026066

>>11025618

Anonymous

Anonymous Wed 02 Oct 2019 14:19:19 No.11025767 Report

Quoted By:

$\lim{n\to\infty}polygon(n)$

Anonymous

Anonymous Wed 02 Oct 2019 14:32:54 No.11025789 Report

Quoted By: >>11025804

>>11025618
At the limit

Anonymous

Anonymous Wed 02 Oct 2019 14:41:48 No.11025804 Report

Quoted By:

>>11025789
Say you have a sequence of polygons (P_n) defined in R^2. If you define lim P_n to be {x in R^2 such that there exists an N such that x is in P_n for all n>N}, then that's true, when you're talking about the interiors.

Anonymous

Anonymous Wed 02 Oct 2019 17:16:44 No.11026066 Report

Quoted By:

>>11025632
I laughed way too hard at this. And the worst thing - I can't really explain why I laughed to my friend since he's not into maths.

Anonymous

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Anonymous Wed 02 Oct 2019 17:33:22 No.11026105 Report

Quoted By:

>>11025618
tfw you realize the indifference curve is actually just a giant circle

Anonymous

Anonymous Wed 02 Oct 2019 19:13:52 No.11026287 Report

Quoted By:

>>11025618
at infinity, otherwise it's still just a n-gon

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