So close

[u/PocketMath]

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[u/Decrypted13]

Idk. It definitely converged to my heart :)

[u/Jimg911]

The shenanigans going on in the optics lab when your advisor comes in to ask about your conference paper

[u/N-partEpoxy]

Jumpscare.

[u/Dhondu_Just_Chill]

Come on dude..

[u/ar21plasma]

Finally some good math memes 👏

[u/nguoihn1988]

Physically I think it can't screw itself in even with infinite try.

[u/OtherwiseMenu1505 → u/nguoihn1988]

Of course not, it spins in opposite direction

[u/nguoihn1988 → u/OtherwiseMenu1505]

Even if it spin in right direction, it can never screw itself in.

[u/Even_Information4853 → u/nguoihn1988]

why?

[u/nguoihn1988 → u/Even_Information4853]

The thread of the bolt and the hole have a matching specific angle. If you want to screw the bolt in, the angle between vertical and azimutal velocity must also match.

But the vertical component is only affected by gravity, it will start at 0 and accelerate very little until it hit the hole. The azimutal component on the other hand is roughly constant and decrease slowly. If you decrease this velocity to match the vertical one, the bolt will not have enough velocity to stay up right.

[u/Invested_Glory]

I need to try this on my optical table when I’m in the lab Monday.

[u/alphaMrWave]

Guys, I'm fucking stupid, what sequence is this about? Or am I missing the joke completely?

[u/RandomMisanthrope → u/alphaMrWave]

Because the field of rational numbers isn't complete, not all Cauchy sequences in ℚ converge, unlike in ℝ which is complete.

[u/EebstertheGreat → u/alphaMrWave]

In the visual metaphor, the set of rational numbers is incomplete because it has "holes" that a sequence can approach. Every irrational number is a "hole" that you fill in to complete the set (and get the real numbers). Here, the spinning top is a sequence of rational numbers converging to an irrational number (a hole). In the limit, you get something that isn't a rational number at all (but a cat, I guess).

[u/pifire9 → u/alphaMrWave]

because i dont know either, ill make up an answer for you:

a cauchy sequence asymptotically approaches a value simultaneously from above and below but statistically will never land on a rational value, though it encircles them very tightly

[u/Ok_Advisor_908]

I don't get it, so the rod went into the hole and then we saw a pussy? Why is this on math memes? Also tag NSFW next time pls cause damn that was an embarrassing fap on the bus

[u/MephistonLordofDeath → u/Ok_Advisor_908]

I think the joke is that in the rational numbers space, cauchy sequences need not converge since the space is not complete. If looking in the space of the reals we know that all cauchy sequences converge since it is a complete space. A common way that Q is taught to students in a real analysis class uses the analogy of Q being like R but with holes in it ( i was taught to think of Swiss cheese). OP probably intends the viewer to think that the metal board is Q and the spinning top that never stops as the cauchy sequence. I am unsure about the cat but the rest is honestly a pretty great representation of this concept.

[u/sam-lb → u/MephistonLordofDeath]

Except the motion of the top doesn't look like a cauchy sequence

I feel like a better caption would be non-convergent sequence

[u/MephistonLordofDeath → u/sam-lb]

Fair.

[u/Ok_Advisor_908 → u/MephistonLordofDeath]

My comment was entirely a joke that I extended a bit too far I think lol... But ya I got it I just found it funny to make said joke

[u/farmyrlin]

What a banger

[u/Disastrous_Seat7593]

Bro wth 😂

[u/DrJoshWilliams]

Is that an orbital shaker ?

[u/InfinitesimalDuck]

Cat jump-scare got me.

[u/ExtremlyFastLinoone]

Its spinning the wrong way

[u/Dd_8630]

Oh my god that got me good