Had a delightful maths discussion today ❤️

What is an everyday example of an eigenvector?

For Maths fans, 2025 is a square.
45² = 45 x 45 = 2025
Also,
9² x 5² = 2025
40² + 20² + 5² = 2025
My favourite?
1³+2³+3³+4³+5³+6³+7³+8³+9³ = 2025
#Mathematics #teaching #education

Happy new year everyone 🍷🥂

Banach fixed point theorem 👀

I had the privilege to speak to one of my followers who has a PhD in mathematical physics. It was very inspiring to talk to someone like that.

Anyone open to chat over voice or DMs about their math research or PhD, please do reach out. I'd love to get to know more people. 😍

Today I learned this is a nice example of a completely integrable system: en.wikipedia.org/wiki/Toda_la...

what browser extension do you use to disable all optional cookies on all websites automatically?

I will volunteer myself as someone you can ask questions to.

I spent over a decade coding professionally, I did do some python too. I did mostly C or C++.

Just shoot me a DM if you need help with anything.

calculation with covariant derivatives and Christoffel symbols Underneath it talks about "the contraction of the Christ"

I missed this part of The Passion

a fox being buffeted by a very windy snow storm

IT

FUCKEN

WIMDY

So much nonsense so condensed, its wild!

The scary thing is that people who are not educated in physics or math to any advanced degree might think this is actually worth anything. Which seems to be happening already. 😅

🤣🤣🤣

I do math for fun.

Might speedrun math 🤣😅

I think you figured out that's not good. Depending on which fan is not working, the system might be shutting down due to overheating issues.

So, 'if ... then' statemets have the following meaning: if the antecedent is true and the conclusion false then the statement is false, and if not then it's true

I love math ❤️ you cannot take that away from me.

I have so many questions about principle fibre bundles. Might pick your brain on it someday.

You're telling me the principal bundled this fibre?

Pillars of Creation through MIRI | JWST

starting to develop an appreciation for higher categories getting complicated after a second (verifying extremely elementary facts)

Lol 😂😂😂😂

The diagram commutes...

The diagram:

The Origin(s) of Modular and Moduli In mathematics and in physics, people use the terms "modular..." and "moduli space" very often. I was puzzled by the etymology, the origins and the similarity/equivalence/differences for these usages/

Unreal how anyone came up with this at all. mathoverflow.net/questions/30...

Casually reading Wikipedia page of the torsion tensor whilst waiting for my train 🚂👀🤓

Do any derived geometers with physicist sympathies have a good physical intuition for why it's most natural for symplectic forms to be –1-shifted?

We know that for any pulse

pulse = Repulse + i Impulse

Might get lost in algebraic geometry to stop the darkness consuming me 👀😳