Pinned toot

trying to crowdfund grad school

I'll be cleaning this up over the weeks to come, but in addition to looking for standard funding sources, I'm opening the tip jar.

https://www.ko-fi.com/feonixrift

https://www.patreon.com/feonixrift

I'm a math grad student, persistently cashflow-negative, trying to hold up the finances through my masters thesis before I can get into a phd (hence paid) position.

I plan to be more vocal with what I do, and contribute in other ways, but... Patronage of the sciences is a thing, right?

sage: 1/8 * ((z-1/z)+sqrt(-19)*(z+1/z)) * ((z^2-1/z^2)+sqrt(-19)*(z^2+1/z^2)) *

....: ((z^3-1/z^3)+sqrt(-19)*(z^3+1/z^3))

1/8*(sqrt(-19)*(e^(6/7*I*pi) + e^(-6/7*I*pi)) + e^(6/7*I*pi) - e^(-6/7*I*pi))*(sqrt(-19)*(e^(4/7*I*pi) + e^(-4/7*I*pi)) + e^(4/7*I*pi) - e^(-4/7*I*pi))*(sqrt(-19)*(e^(2/7*I*pi) + e^(-2/7*I*pi)) + e^(2/7*I*pi) - e^(-2/7*I*pi))

...useless!

everyone else explaining 1÷1=1: 'so you put one cat in one box,'

me explaining 1÷1=1: 'Viewing division as fractions, and fractions as quotient groups, 1/1 is a representative element of a/a which has the properties of the identity in the quotient group defined by the relation (a/b~c/d iff ad=bc), it must therefore be canonically identifiable with the identity element of the underlying group.'

.. I appear to be contaminated and should probably not be allowed near lower division students? ;)

Anybody know any wiki software that can federate besides FedWiki?

(which is brilliant but bewilders many people. I'm asking about something that offers topic and sub-topic navigation like a typical wiki, but where an instance created by one community can federate with instances created by other communities.

Ok, this one is generic enough to pose...

If \( \pi \in \mathbb{Q}(\sqrt{mn}) \) a totally positive real number, letting \(\jmath : \sqrt{-m}\mapsto -\sqrt{-m}\) and \(\tau : \sqrt{-n}\mapsto -\sqrt{-n}\), it is clear that \(\pi^\jmath = \pi^\tau\). When does \((\sqrt{-\pi})^\jmath \ne (\sqrt{-\pi})^\tau\)?

@kimreece I'm somehow reminded of the many mathematical uses of the word "regular". Mathematicians are almost as lazy about naming sometimes as colonial road builders: Queen Street, King Street, Regent Street; regular, irregular, quasiregular, pseudoregular...

https://twitter.com/feonixrift/status/1305063189206441985

Very serious math threads we have over there. ;)

Did you know #Superman shaving with heat vision bounced off a mirror is one of the most well-established bits of his canon? Here it is across three different media: live-action, animation, and comics.

I find it hilarious that of all the inconsistent abilities and background elements of Superman's canon, shaving is the one that the authors all agreed upon.

Heathen cyborg mathematician. No gluten. (Mathematician aspect)

Assume the hypotenuse :boardwrite:,

not the contusion :headdesk:.

Joined May 2018