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A Morning With The Night - Part 12 - Page 4/4
Page 1 >>2992056
Page 2 >>2992628
Page 3 >>2993773
Page 4 >>2995070
I have a discord server now! (I don’t trust Twitter to keep existing)
https://discord.gg/QUMZ8HFM7k
Check my twitter (for now at least) for WIPs, HQ panels, and all of that sort of thing.
https://twitter.com/TheStellarator
The rest of this series:
A Morning With The Night >>2464656 (Luna, Juicebox)
Night Train (A Morning With The Night Part 2) >>2538088 (Luna, Juicebox)
An Evening With The Day (A Morning With The Night Part 3) >>2575043 (Celestia, Juicebox)
An Afternoon’s Twilight (A Morning With The Night Part 4) >>2642991 (Twilight, Juicebox)
A Morning With The Night Part 5 >>2774476 (Twilight, Juicebox, Smoothie)
A Morning With The Night Part 6 >>2806848 (Twilight, Juicebox)
A Morning With The Night Part 7 >>2825006 (Luna, Juicebox)
A Morning With The Night Part 8 >>2834315 (Celestia, Juicebox)
A Morning With The Night Part 9 >>2865423 (Twilight, Juicebox)
A Morning With The Night Part 10 >>2906346 (Twilight, Juicebox, Celestia, Luna) [Plot, no sex]
A Morning With The Night Part 11 >>2970970 (Luna, Juicebox, Smoothie)
A Morning With The Night Part 12 >>2992056 (Twilight, Juicebox, Smoothie)
A Morning With The Night Part 13 >>3042925 (Rarity, Juicebox)

explicit495756 artist:stellarator1420 twilight sparkle372588 oc1015297 oc:juicebox268 anthro379859 unguligrade anthro69192 comic:a morning with the night241 comic:a morning with the night part 1217 g42129902 3d132364 adorkable4291 blender17108 blender cycles3822 bottomless16993 breasts412062 canon x oc37326 clothes682478 comic142682 cute281405 cycles render823 dork4655 math1008 not sfm3126 open clothes3979 open shirt1949 pajamas4359 partial nudity31405 set theory3 shipping269565

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Background Pony #2D2E
I never got past College Algebra, excepting one time where my student advisor thought I could handle macroeconomics. Wish I had had pony back then to help me understand the stuff better, maybe then I could have engineering career instead of serving starving college students their ham and cheese sandwiches. Oh well, C’est la Vie.
Smithers
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No, *you're* a cute pony
@Stellarator
I would blame Twilight, but I recently read an entire essay on ordinal numbers in the comments of a clopfic on FimFiction (parts of which went over my head) so I think I’m just going to say this fandom has some nerds. I wouldn’t even be surprised if P(maths nerd | brony) > P(maths nerd).
Stellarator
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@Smithers
I think I more or less got the descriptions of what the fields are, though beyond that you lost me. That would be a bit over my head.
(Wow, how did the topic get here from a porn comic…)
Smithers
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No, *you're* a cute pony
I can’t believe I just wrote a whole paragraph about group theory without connecting it to the fact you mentioned quaternions. As a 3D artist, you must mean using unit quaternions to describe rotations. Rotations in 3 dimentional space are (the non-reflective) symmetries of the sphere and are, naturally, a group (known as SO(3)). Unit quaternions (with multiplacation as the way to combine them) are a closely related group, though not identical, since the quaternions q and -q both represent the same rotation. (The fancy mathematical way to relate them is “SO(3) is isomorphic to the unit quaternions quotiented by the relation q ~ -q.”)
tl;dr: Everything you know about quaternions is a thing you know about group theory (even if it makes your brain hurt).
Smithers
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No, *you're* a cute pony
@Stellarator
What group theory is about, at its core, is symmetry. For example, the symmetries of a cube (which are 48 rotations, reflections and combinations thereof) form a group (which happens to be known as Oh). The definition of a group is just the properties of combining two symmetries together (i.e. if you perform one symmetry, then another, the total effect is itself a symmetry) works.
What category theory is about is nothing in particular. It’s nickname is “general abstract nonsense” and we like it that way. While examples of sets are the empty set and the natural numbers, examples of groups are Oh and the symmetries of a triangle and examples of topologies are a sphere and a torus, examples of categories are “sets”, “groups” or “topologies”. It’s meta-mathematics, studying what can be said of the relationships between sets, between groups, between topologies, etc. without actually knowing what kind of objects you’re even looking at.
Gnot Even
Solar Supporter - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).

I never did really get on with statistics.
Neither did I. Had to learn enough of it for industrial processes, and quickly got turned off by the guys who insisted they could statistically demonstrate a problem from a sample size of 4.
Stellarator
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@Smithers
That is some math that is beyond my ken. I get what set theory and topology are, even if I can’t do them, even with wikipedia’s help I’m not quite sure I get what group and category theory even ARE. XD
I guess I’ll stick to 3D modeling and art. (even if quaternions still make my brain hurt a little)
Smithers
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No, *you're* a cute pony
@OC1024
4. Set theory
3. Group theory (or algebra in general)
2. Category theory
1. Topology (my Ponysona has a Möbius strip cutie mark for a reason)
@Smithers
My husband and I did our best, with his memory of college math courses, and wikipedia. XD I take it the attempt was flawed?
No, I think I worked my head around to the point where Twilight’s version was equivalent to my understanding, but with different wording. And it’s over 10 years since I graduated, so my memory is also subject to flaws. Unrelated, but TIL you have a husband, so that’s a thing.
@Gnot Even
I never did really get on with statistics. Related to your description of topology, I do enjoy the definition of a topologist as someone who picks up a coffee mug and a doughnut, but then doesn’t know which one to dunk into the other.
Gnot Even
Solar Supporter - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).

I have questions: First, if set theory is just the fourth best math subject, which are the best three ones?
Hmmm, good question. I’m going to guess differential equations (where you guess what the answer looks like, and work backwards to the original problem); statistics (which involves showing how two unrelated things show a third thing to be true, which is actually a lie); and topology (which largely consists of proving everything is or is not a donut).
(also guessing topology is Twilight’s favorite)
Stellarator
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@Smithers
My husband and I did our best, with his memory of college math courses, and wikipedia. XD I take it the attempt was flawed?
@OC1024
That was based on my husband’s understanding, since he has taken a lot more math than me. See above.
@Gnot Even
You know, for whatever reason I hadn’t thought of that approach. I was just thinking in terms of having to actually show the kiss. Huh.
@AndwhatIseeisme
Maybe eventually they’ll be ready for something really lewd like hand-holding.
OC1024
My Little Pony - 1992 Edition
Artist -

STUDY!
I have questions: First, if set theory is just the fourth best math subject, which are the best three ones? Second, do you, @Stellarator, know that math or do you look it up?
Smithers
Lunar Supporter - Helped forge New Lunar Republic's freedom in the face of the Solar Empire's oppressive tyrannical regime (April Fools 2023).
Non-Fungible Trixie -
Verified Pegasus - Show us your gorgeous wings!
Artist -
Preenhub - We all know what you were up to this evening~
Wallet After Summer Sale -

No, *you're* a cute pony
Well the Royal Natural History Museum is unveiling a collection of really interesting new fossils…
Nerrrrrdddd
Ooh! That’s like my fourth favorite math subject
Nerrrrralsoimnowalittlebitinlovewithyoudddd.
I’ve never herd the axiom of choice stated in terms of the carneighsian (lol) product before. I suppose it could work. It would need a different definition than when I learned set theory where the cartesian product gave the set of ordered pairs. I suppose natural way to define the product over a set of sets would be the set of functions from the outer set that map each set to an element of itself, which would recover the usual statement of AC. It needs a layer of indirection to be a useful product in general, to handle multiple copies of the same set.
I’m not sure how leaving out AC can cause paradoxes, unless by leaving it out she means not just “don’t assume it’s true” but rather “do assume it’s false.” I’ve not really studied ZF(¬C), but the possibility of having two sets whose cardinalities are incomparable (they don’t have the same number of elements but also neither has more than the other) is pretty out there.
On the other hoof, including AC yields such fun as the Barnack-Tackski paradox, which I could go into, or just mention that it already has a tag.
Gnot Even
Solar Supporter - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).

You know, I don’t think I’ve actually shown them kissing on camera. I tend to save that, because it is a huge pain in the butt to get pony faces to kiss. XD
I’m guessing profile view is the hard one? It seems like 3/4 view from behind (mostly back of head, and an eye) might be simpler? Or, a top view that would be mostly top of heads maybe (a reasonable angle if they’re lying down)? Of course, those views leave things mostly to the imagination.
AndwhatIseeisme
Pixel Perfection - I still call her Lightning Bolt
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Praise the sun!
@Disembodied_Pony
Woah, hey, slow down a bit there, will you? Sure she’s had sex with him multiple times, including once with his roommate involved too, but let’s not get ahead of ourselves here, alright? They’re a little early into this relationship to be doing things like kissing. Best just to stick to hardcore sex until at least after the first date.
Stellarator
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Pixel Perfection - I still call her Lightning Bolt
Chaotic Little Trees - 1000+ images under their artist tag
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Non-Fungible Trixie -
A Really Hyper Artist - 500+ images under their artist tag
Verified Pegasus - Show us your gorgeous wings!
Preenhub - We all know what you were up to this evening~
Bronze Supporter - Bronze Supporter
Happy Derpy! - For Patreon supporters

User is CC BY-NC-SA 4.0
@tu160
I’m sure she has it all written down somewhere. :)
@Disembodied_Pony
You know, I don’t think I’ve actually shown them kissing on camera. I tend to save that, because it is a huge pain in the butt to get pony faces to kiss. XD
Stellarator
Stellarator - For supporting the site
Pixel Perfection - I still call her Lightning Bolt
Chaotic Little Trees - 1000+ images under their artist tag
Lunar Supporter - Helped forge New Lunar Republic's freedom in the face of the Solar Empire's oppressive tyrannical regime (April Fools 2023).
Non-Fungible Trixie -
A Really Hyper Artist - 500+ images under their artist tag
Verified Pegasus - Show us your gorgeous wings!
Preenhub - We all know what you were up to this evening~
Bronze Supporter - Bronze Supporter
Happy Derpy! - For Patreon supporters

User is CC BY-NC-SA 4.0
@Gnot Even
I hope it wasn’t too obscure. I do enjoy taking real terms and “horsing them up”.
I’ll admit that “carneighsian” is a bit of a stretch, though XD
It’s less a matter of the limitations of Blender, and more limitations of how much time I spend. In theory I could have gone and sculpted a new shapekey for that shot, or even done cloth sim, I just didn’t at the time think it would be worth the effort. Not always the correct choice, but oh well. XD
Gnot Even
Solar Supporter - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).

That’s fair. Noted. I’ll probably try to take a more subtle approach in future.
You have such a talent with Blender I’m just always intrigued when you run into the limitations of the tool. And please don’t feel you need to put in infinite time and energy trying for perfection - what seems “good enough” to you is beyond excellent to us.
(BTW, love the name of the set theory. I wonder how many folks recognize that Frisian is a type of horse.)
JWpilot

In panels 4 and 5, Twilight shows the confidence befitting a Princess. Younger, ‘unicorn Twilight’ would never have worked up the nerve to confess like that.