Rashid
@SymplecticForm
MMaths & MPhys | Theoretical Physicist | UK & Pakistan | NUST & Warwick
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(1/3) Maryam Mirzakhani is the first woman to win a Fields Medal. She might also be the first person to win an infinite amount of money in a contest. Here’s that story. Given a complete tripartite graph, is it possible to partition its edges into a collection of 5-cycles?
You got the "we" and the "they" the way around. Otherwise true ...
The reason why students cheat in exams is because we value their grades more than they value their learning. 🧠
Thanks ... ! (From Applied Differential Geometry by William Burke)
I couldn't help myself.
Can one write a proof of the square root of two's irrationality which RHYMES? If you can do it, I will musicfy it.
Particle physics experiments with huge collaborations such as @ATLASexperiment, @DUNEScience etc have been doing Zoom-style meetings for more than 10 years, with participants numbering from a few to hundreds. Take it from our experience: you do NOT need to have your video on.
Can one write a proof of the square root of two's irrationality which RHYMES? If you can do it, I will musicfy it.
Roger Penrose won the Nobel Prize for showing that black holes are an almost-unavoidable prediction of classical general relativity. Let's take a peek into what that entailed. 1/n
BREAKING NEWS: The Royal Swedish Academy of Sciences has decided to award the 2020 #NobelPrize in Physics with one half to Roger Penrose and the other half jointly to Reinhard Genzel and Andrea Ghez.
It's intriguing that success of Particle #Physics (and #quantum field theory) depends on use of nonphysical mathematical particles interacting with physical ones. Examples of the nonphysical: many Goldstone bosons, FP ghost fields, B₀/W₀ fields related to the real W±/Z bosons.
I'll make it more affordable or even free till PhD level. So, none would be refused just because they can't afford, raising the underprivileged and more equality for all...
If you got to change one thing about academia, what would it be?
Superpermutations are fascinating for many reasons. One reason is that significant progress was made by an anonymous 4Channer, who inspired much work in the area! A superpermutation on n symbols is a string that contains each permutation of n symbols as a substring. (1/3)
Jaffe & Witten cite the following new #math'l structures as rooted in #quantum field theory: - Donaldson 4-manifolds theory - Jones knot polynomial invariant - Mirror symmetry of complex manifolds - Elliptic cohomology - SL(2,Z) symmetry in Kac–Moody algebras. #physics #geometry
Unitary matrices & transformations (closely related to the Unitary group) are ubiquitous in #QM because they preserve probability amplitudes. They have the interesting property (shown) that their eigenvalues lie on a circle. #maths #physics #matplotlib #python #undergrad
Hermitian matrices arise naturally is many different applications. But, perhaps most famously, they feature in Quantum Mechanics as Hermitian operators. A nice feature of Hermitian matrices shown here is that their eigenvalues are real-valued. #physics #math #matplotlib #python
What is a convolution? What is a "Gaussian Kernel"? (This was the main animation used at the intro of last week's convolutions lecture).
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