rho-of-cabbage - Rho of cabbage
Rho of cabbage

19 | she/her | I do math sometimes

85 posts

Mods Do A Sudo Rm -rf /home/her

mods do a sudo rm -rf /home/her

mods compress her into a .tar.gz

  • eli-juggernaut
    eli-juggernaut liked this · 10 months ago
  • greenbeanfeind
    greenbeanfeind liked this · 10 months ago
  • identitylambda
    identitylambda liked this · 10 months ago
  • windowsxp-official
    windowsxp-official reblogged this · 10 months ago
  • septaofficial
    septaofficial reblogged this · 11 months ago
  • danaieu-pollen
    danaieu-pollen reblogged this · 11 months ago
  • sortai
    sortai liked this · 11 months ago
  • 93pigeons
    93pigeons reblogged this · 11 months ago
  • 93pigeons
    93pigeons liked this · 11 months ago
  • xteamxeno
    xteamxeno reblogged this · 11 months ago
  • xteamxeno
    xteamxeno liked this · 11 months ago
  • katya-1917
    katya-1917 liked this · 11 months ago
  • bronzeageprolapse
    bronzeageprolapse liked this · 11 months ago
  • zoomed-out-again
    zoomed-out-again liked this · 11 months ago
  • lle4d
    lle4d liked this · 11 months ago
  • iloveskibidisheldongyatt
    iloveskibidisheldongyatt liked this · 11 months ago
  • windows11-official
    windows11-official reblogged this · 11 months ago
  • yourordinarycat
    yourordinarycat liked this · 11 months ago
  • laurazepan
    laurazepan liked this · 11 months ago
  • thnx-cul8ter
    thnx-cul8ter reblogged this · 11 months ago
  • thnx-cul8ter
    thnx-cul8ter liked this · 11 months ago
  • janokenmun
    janokenmun reblogged this · 11 months ago
  • janokenmun
    janokenmun liked this · 11 months ago
  • rememberrymainblog
    rememberrymainblog liked this · 11 months ago
  • mimilhateadds
    mimilhateadds liked this · 11 months ago
  • virtualsteve
    virtualsteve reblogged this · 11 months ago
  • niranufoti
    niranufoti liked this · 11 months ago
  • danman20108
    danman20108 liked this · 11 months ago
  • penelope918
    penelope918 reblogged this · 11 months ago
  • penelope918
    penelope918 liked this · 11 months ago
  • sylver-syl
    sylver-syl liked this · 11 months ago
  • cubewaffle
    cubewaffle liked this · 11 months ago
  • underscoreslicedbread
    underscoreslicedbread reblogged this · 11 months ago
  • underscoreslicedbread
    underscoreslicedbread liked this · 11 months ago
  • honeyandsickle
    honeyandsickle liked this · 11 months ago
  • cathodedlu
    cathodedlu liked this · 11 months ago
  • rayhammer
    rayhammer liked this · 11 months ago
  • maybe-someday-eventually
    maybe-someday-eventually reblogged this · 11 months ago
  • maybe-someday-eventually
    maybe-someday-eventually liked this · 11 months ago
  • privilegejunkie
    privilegejunkie reblogged this · 11 months ago
  • intercal
    intercal reblogged this · 11 months ago
  • intercal
    intercal liked this · 11 months ago
  • demifiendcruithne
    demifiendcruithne reblogged this · 11 months ago
  • no-opportunity-nescessary
    no-opportunity-nescessary reblogged this · 11 months ago
  • no-opportunity-nescessary
    no-opportunity-nescessary liked this · 11 months ago
  • abbiistabbii
    abbiistabbii reblogged this · 11 months ago
  • onedepressoespresso
    onedepressoespresso reblogged this · 11 months ago

More Posts from Rho-of-cabbage

11 months ago

I’d like to share a couple of highlights of my discord messages today.

7:42 pm

AAAAAAA I HATE INDUCTION

The book my team is using as a reference suppressed a really specific detail of a proof by hiding it as an exercise

And it’s like 8 pages of induction

11:40 pm

Frothing at the mouth ok there are a couple of problems with my induction and the actual proof is like three lines of triangle inequality.

anyway, the moral of the story is that in a δ-hyperbolic geodesic space (one where any point on a side of a triangle is within δ of the other two sides), any 8δ-local geodesic (a path that is preserves distances between any two points within 8δ of each other in the domain) stays uniformly within 2δ of the geodesic connecting its endpoints.


Tags :
9 months ago

They are, of course, not contradictory. I misunderstood your point, and totally agree that beautiful details come out in the rigor.

Also, that’s a wonderful illustrative example. Thanks.

Potentially a hot take but the whole point of mathematics, especially pure mathematics is to be pedantic. We want to be sure what we're doing makes logical sense.

Sure you have experiments to back up your flimsy mathematical arguements but we care about details because that's what maths is.

10 months ago

I think there are uncountably many homeomorphism types of countable punctured planes.

Curves in the plane with dense punctures (for example, what’s left of the unit circle after you puncture the rational points on the unit circle out of existence) are nowhere path connected in a way that non-convergent Cauchy sequences can pick up, so homeomorphisms ought to send densely punctured curves to other densely punctured curves. Then number and nesting patterns of densely punctured curves would give a nice invariant.

But in particular, after cutting out rational points from circles of integer radius about the origin, we create a bunch of un-punctured rings, only one of which has as its interior an open disk (that’s the middle one).

then simply by puncturing the rational points from a_1 disjoint loops in the first circle, a_2 from the second, a_3 from the third and so on, we can inject the integer sequence (a_n) into the set of homeomorphism classes of punctured planes. (Since countable unions of countable sets of punctures are countable, the resulting construction actually lives in the set of countably punctured planes).

That jeans post has got me thinking, is there a nice way of distinguishing between planes with infinite numbers of holes in them. More formally, can we classify up to homeomorphism infinitely punctured planes easily?

I have a feeling cardinality matters. I'd conjecture that ℝ²\(ℚ×{0}) is not homeomorphic to ℝ²\(C×{0}), where C is the middle third Cantor set. But how could we prove that?

Also I have a feel cardinality isn't the only thing that matters. I reckon density might matter too. For example, is ℝ²\(ℚ×{0}) homeomorphic to ℝ²\(ℕ×{0}). I guess the difference there is that each hole in the second space is isolated whereas those in the first aren't.

It'd be interesting to hear what other people think :))

10 months ago

one time i was in an olive garden bathroom and my packer fell out of my shorts and this ten year old boy just looked at me with absolute terror and without thinking i said "that's what happens when you don't eat your vegetables" later i saw him eating salad at a speed no human should be capable of