ℝolliℵg M∀th Thr∑a∂

voevodsky dead at 51 https://www.ias.edu/news/2017/vladimir-voevodsky

fields metalist dropping like flies

a terrible tragedy for math. he supervised to a close friend of mine, who told me they had been making progress on some problems as recently as this summer. needless to say friend is devastated

RIP

Must admit I was thinking this revive would be about Monty Hall problem.

extremely worthwhile Voevodsky content:

https://www.youtube.com/watch?v=O45LaFsaqMA

that's what you get for inventing calculus bitch lmao https://t.co/qwE6dL6fNH

— daddy. (@TayWest) December 12, 2017

https://en.wikipedia.org/wiki/Spherical_coordinate_system#Integration_and_differentiation_in_spherical_coordinates

does anybody know the line elements in 4D hyperspherical coordinates or how to go about deriving them? i need to know for a school project and didn't realize this information would be so hard to find lol

ok i guess this is the way to do it:

https://math.stackexchange.com/questions/74442/line-element-dl-in-spherical-coordinates-derivation-diagram

wow that was easy

Really?

Seems like you “just” stick another sin and cos on the end and then “just” do your calculations

So about those octonions

they squirt ink and make you cry

Lol

https://upload.wikimedia.org/wikipedia/commons/thumb/2/2d/FanoPlane.svg/250px-FanoPlane.svg.png

PY DERE! Have a Jupyter notebook question that I may hit you with in a little bit

Okay, been trying to make slides using nbconvert. It ends up creating an html version but no slides.

Oh, looks like a copy of reveal.js is needed.

https://www.youtube.com/watch?v=hslrD0Y837c

going to be learning random graph theory this spring, maybe some random matrix theory

Cool.

Follow-up video to the prior one:
https://www.youtube.com/watch?v=ea7lJkEhytA

https://www.ams.org/journals/notices/201903/rnoti-p330.pdf

some figures missing from that version??

https://arstechnica.com/science/2019/11/a-personality-quiz-for-fans-of-math-and-history-are-you-a-newton-or-a-leibniz/

I am now HS Geometry revisiting.

take a look at the second volume in felix klein's 'elementary mathematics from a higher standpoint', his course for teachers of school mathematics!

https://www.springer.com/de/book/9783662494400

really enjoyed relearning HS geom for the GRE

https://www.nytimes.com/2020/02/05/science/quadratic-equations-algebra.html

https://www.poshenloh.com/quadraticdetail/

maybe ive just had the quadratics drilled into me very young, but his doesnt seem any more usable or memorable tbh

nice

smdh

it may be less useful for finding roots but it is also more useful for thinking about as a mental exercise, the sort in which considering an alternate solution to an established problem expands and sharpens one's mathematical reasoning skills.

this goes quickly from "WHAT IS GOING ON THE WORLD IS BROKEN" to "oh i know this"

https://www.youtube.com/watch?v=HJ_PP5rqLg0

good old Johnny Ball. he used to do this stuff on the tv when i was a kid.

how does the crossing out the even numbers bit work?

the binary thing is how you'd do multiplication in z80 assembly language where the instruction set only had addition and shifting (shiting right === integer division by 2)

yes, even numbers thing is a bit odd. it will map to the binary representation, but i'm not sure how yet

ah, odd just means that you have a remainder when dividing by 2

so his 121 = odd, even, even, odd, odd, odd

or, reading from bottom up, 1111001 = 64 + 32 + 16 + 8 + 1 = 121

(i can imagine trying to explain who johnny ball is to my younger colleagues in terms of being zoe ball's dad, only to then have to explain who zoe ball is)

I'm fleeing America for the sole reason that we (now they) don't say "maths"

good riddance, pervert

The biggest AmE/BrE mystery is why it’s “math” and “sports” vs “maths” and “sport”

if not for cricket we would be able to make progress on that mystery by looking into sabermetric

in the video, he's solving using only the figures in the right column. what do you do with the left column? i missed it somehow

j., idgi?

lol i had the same moment rvw

i hope that hes referring to johnny ball

frustrating that he uses the same numbers for his second example lol

and the left column will invariably resolve to 1... OH it's just used to produce even numbers so you can scratch out the corresponding number on the right, ok

RIP, JHC.

Perhaps I shouldn't post about it, but Euler has a very impressive ancestor in his genealogy.

Do you mean me or my namesake? True in both cases...

Ha, meant you, had almost forgotten about the original’s tutor.

My philosophy advisor's advisor was one of Trotsky's bodyguards!

True in both cases...

Heh, now I'm intrigued.