this post was submitted on 06 Jul 2023
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Math Memes

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Memes related to mathematics.

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[–] ptolemai 8 points 1 year ago (1 children)

fence sitting.. what about points on the loop, are they inside or out?

[–] [email protected] 3 points 1 year ago (2 children)

no point exists on the loop, a point can only approach the line

[–] [email protected] 2 points 1 year ago

Don't we usual define shapes with points? Like the corners of a triangle, since they have defined coordinates. Would a point at the same coordinate be inside or out?

[–] [email protected] 2 points 1 year ago (1 children)

Why not? The line has to be at a point in space, so we can just define any point on the line

[–] [email protected] 2 points 1 year ago

answer: i was lying :)

[–] [email protected] 8 points 1 year ago (2 children)

Isn't the actual proof of this theorem really complicated?

[–] [email protected] 3 points 9 months ago

Prooving 1+1=2 isn't exactly a one-liner either isn't it

[–] Migillope 1 points 1 year ago* (last edited 1 year ago)

Depends on what you mean by "really complicated."

If you know Brouwer's fixed point theorem in the plane and do not consider that to be complicated, then no. The curious can DM me and I will share a PDF of this little article (it is three pages).

If you know some basic Algebraic Topology (homology), Hatcher gives a proof in section 2.B for the theorem (actually, he proves something even stronger) in a little under a page.

[–] [email protected] 2 points 9 months ago
[–] RustyNova 1 points 9 months ago

Next up: Pigeon hole theorem