Some trust in chariots and some in horses.
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My Little Pony: Friendship is Magic Fanfiction
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I want to hope there are clopen sets in this, but it's only T.
10476177
Sincerely hoping there are no closet bronies in my math program who caught on to why I - with an MLP avatar - go out of my way to say "closed and open sets"
Cries in dyscalculia.
Incredible. This is top-tier SciSet flirting and I am 100% down for it.
This was a really cute story! And we could always use more math romance.
Well, possibly, but how rather depends on how we define a kiss and its space, doesn't it? Is the area of the kiss only the area the lips touch, meaning there will be an area in the centre unkissed? Does it include that area, meaning that parts that haven't been directly exposed to the kiss nevertheless count? If so, are any others? Is there an area around the directly-kissed area that nevertheless counts as kissed?
Furthermore, this whole supposition is based on the assumption that a "kiss" has a lifespan of its own that extends past the actual act, which is questionable. After all, a "kiss" technically refers to an action, not an object or a state of being, so one could say that one can only be "covered in kisses" if all points are kissed simultaneously. Which would not only require the centre area to count, but also, since the rest of the various people doing the kissing would otherwise interfere, it would require every set of lips to be disconnected from their owners.
And even if we postulate that kisses linger, we run into the issue of cell life and the Ship of Theseus problem - our skin sheds and regrows naturally over time, so there's a very real possibility that, by the time all kisses are applied, the skin the first were applied to may be gone and require re-kissing, trapping the subjects in a perpetual kiss-cycle. Which, to be honest, these two may not mind all that much, but you get my point.
I mean, don't get me wrong, it's a really cute bit of nerd-flirting, but it does raise some interesting logical and metaphysical questions.
10476180
Also is that math in the story image saying "every open cover has a finite subcover", defining topological compactness?
I like how my approval qualifies as a content warning.
Adorable nerd flirting indeed. I'm glad you posted it for all to see.
10476256
This is one of those rare philosophical issues that can be resolved through sufficient application of lipstick.
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10476258
Yes.
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10476572
Seconding proof-by-lipstick
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10476255
Thank you!
In only finite time, with two pairs of lips! Must be magic!
(Edit) So a Gabriel's Horn could not be covered in finite kisses because it is not bounded.
But what about a fractal with infinite surface area, in a bounded space? (I'm thinking of like a koch snowflake, but as a prism). With infinite surface area, wouldn't that require an infinite number of kisses?
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Consider the closed bounding box (which is compact in R^n), cover that in finitely many kisses, and then you have already covered the snowflake itself. It's ok to end up also kissing the air around the
bacongirlfractal as a coarse approximation, it will still work as a cover.10476746
Ah I see, a spherical shell is fine too. (Reminds me of Gauss's law).
Somewhere in there, I think there's a dirty joke about skintight vinyl body suits.
I didn't know I could dorkily snort so hard. I'm usually more of a goofy giggler.
Back during my Combinatorics college class, Comp Sci, Comp Engineering, and Math students all shared attendance in the course as a possible credit to their degrees. The professor commented once, when a student came in, dropped off their homework at the start of class, and left, "Huh, man, why is it always the Comp Sci majors who do that?". Far back in the lecture seats I called out, "Eh, it's 'cause we think we're better than everyone else." It got some laughs. Comp Sci was by far the easiest major of the other three at our school. It was fun to be brought back to that atmosphere by this.
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I've heard horror stories about all three at my school, so...
As a math major, this is the best math-adjacent fiction I've ever read. The only thing that would've made it better is some sort of pun with Heine-Borel (pronounced very similar to heinie as in butt).
11106155
Shucks, thank you ❤️ I aim to please...
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That... that was truly amazing. I actually had to check if the Heinie-Bare-Elle theorem was actually a theorem in Differential Geometry because I just wasn't honestly sure.
I did not expect such an amazing response to this comment. Thank you.
11106754
10476187 - Well, this is more language than math, so you should be fine? Just think of sets as boxes?
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I came here from Never the Final Word, and started reading because of the FOME warning! :
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10476180
Well, as long as they remain in their closets, you have nothing to worry about??
11113394
The FOME warning is there for a reason
And yes they are probably in their closets11106725
This is wonderful. Was totally hoping for a clopen pun. Next, perhaps Twilight can introduce Sunset to the category of Top, and how faithful functors that are injective can lead to embeddings.
There's got to be a pun about the girls and "natural transformations" somewhere, but I'm not smart enough to find it.
11114080
Natural transformations for the girls are nice but group theory is where it's really at, with its homo morphisms.
11114456
How to make homotopy sound even creepier.
I feel like a damn idiot after reading this. especially after reading the comments. wow
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If it helps -- most of the math in the story is obscure and jargon heavy (by non-mathematician standards), but fairly "simple" to learn (not that non-mathematicians have a reason to).