Notes

tagged math

Kartik Prabhu
replied to a post on Twitter with
yes, https://en.wikipedia.org/wiki/Homogeneous_space#Homogeneous_spaces_as_coset_spaces even though I don’t know what you mean by “isometry”.
Kartik Prabhu
replied to a post on Twitter with
OK everyone, back to work. Quantum Gravity is not going to figure itself out!
Kartik Prabhu
replied to a post on Twitter with
In which signature is the “conservation of convention law” stated?
Kartik Prabhu
replied to a post on Twitter with
‘I know, I’ll use Latex macros’ Now you have two problems (also see https://xkcd.com/208/ and https://xkcd.com/927/)
Kartik Prabhu
replied to a post on Twitter with
hopefully you are using the maths convention — phi_^* for pullback since it is a “dual map”
Kartik Prabhu
replied to a post on Twitter with
there are worse convention-violations in GR; signature, Riemann tensor, extrinsic curvature… comparatively this is not a big deal!
Kartik Prabhu
replied to a post on Twitter with
because it is consistent with the index positions for objects being pulled-back, forms, vs objects being pushed-forward, vectors.
Kartik Prabhu
lot of awesome number theory here — primes, factorisation, Gaussian primes, character functions — pretty neat!
Kartik Prabhu
I never realised that you can get all Pythagorean triples from complex numbers!
Kartik Prabhu
nice demonstration of equilibrium and stability.