Rho-of-cabbage - Rho Of Cabbage - Tumblr Blog
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.
Ok so apparently I had to close the path notes by typing :q before it would do anything so I think I lose actually
Don't poweroff while in the middle of package upgrades every three days challenge. Difficulty level: what the fuck is wrong with me
Debian supremacy watch me do an update
Don't poweroff while in the middle of package upgrades every three days challenge. Difficulty level: what the fuck is wrong with me
...In fair verona where we lay our scene...
I didn't expect to be so annoyed by this take.
It's a reasonable take.
But also the point of mathematics is the exploration of beautiful truths, and the more we lose sight of that, the worse off we are.
Sure we have pedantry to back up, prove, and clarify our beautiful observations, but the observing is the fun part.
(Just read some of and highly recommend Martin Weissman's "An Illustrated Theory of Numbers" and holy cow is it beautiful)
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.
So I’m not saying any details, but there’s def an email address out there whose password is the first 8 digits of the Fibonacci sequence
what are your thoughts on the fibonacci sequence
i am such a big fan of the fibonacci sequence the fibonacci sequence is my phone passcode <3
sorry for not knowing how to act around you . in my defense if you haven’t articulated your feelings about me clearly and in excruciating detail i will just assume i am simply an acquaintance in your mind out of fear of making things weird
So I played the lifegain banding defenders deck I asked about at pauper night yesterday. I went 0-3, but I was up at 40 life at one point so that was fun.
Magic The Gathering tip: don't forget to include a wincon.
Second tip: lots of life gain is not a wincon
Magic the Gathering tip: real bandingchads know that playing banding is a wincon on its own
at some point you have to realize that you actually have to read to understand the nuance of anything. we as a society are obsessed with summarization, likely as a result of the speed demanded by capital. from headlines to social media (twitter being especially egregious with the character limit), people take in fragments of knowledge and run with them, twisting their meaning into a kaleidoscope that dilutes the message into nothing. yes, brevity is good, but sometimes the message, even when communicated with utmost brevity, requires a 300 page book. sorry.
Oobleck is a wonderful model for my gender. It solidifies when I’m stressed.
any math genderfluids out there who've made a function describing the way your gender changes?
ghost fishin'
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
Euripides (Tr. Anne Carson) / @wholeheartedsuggestions / Jenny Slate / Euripides again
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 :))
Hi, I'm
Math enjoyers do not DNI. If you like math you are required to interact with me.
Gnome is the only DE that plays nice with zoom out of the box as of early 2020. Source: I tried a lot of other things first and the fucking sound didn’t work. Admittedly, every once in a while, gnome tells me that my only speaker is named Dummy Audio and when that happens I have to run pulseaudio and ^C before it finishes telling me that pulseaudio is already running. Promptly after killing the audio daemon in this way, everything works in a lovely fashion for the next day or so.
Stop talking shit about Linux Desktop Environments!
KDE is Pretty! XFCE is Efficient! Gnome... Mate is Traditional!
Some days, my problems can be resolved by a simple :%s/<.\{-}>//g
(that’s the vim command that removes html and leaves behind the unformatted text).
Also, piratesexmachine420, you have an excellent pfp. Triangles are good.
This meeting could've been an elaborate and transfixingly beautiful flag semaphore transmission.
Weierstrauss function
my friend sent this gif in the group chat and its just SO FUNNY TO ME for some reason
I'm in this picture and I don't like it
Locally-flat earthers
there should be a flat-earth-like conspiracy theory for every 2-manifold. show me the real projective plane earthers
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.
mods do a sudo rm -rf /home/her
mods compress her into a .tar.gz