@springpard This might be a modelling issue in some sense: you could say these are two different models to reality just how two different differential equations can me the model of the same physical system.
@springpard Thing is way more complicated than that. There are some phenomenon in mathematics that depends on the underlying logical axioms we assume. Two different sets of logical axioms might give different answers.
when you study math or physics; don’t just read equations.
code them. simulate them. visualize them.
watch derivatives turn into slopes.
watch integrals fill areas.
watch forces turn motion into curves.
when you bring equations to life, they stop being abstract.
they become alive systems you can play with.
this is how you build intuition; not by memorizing formulas,
but by seeing how the universe behaves when you change a single variable.
build. simulate. visualize.
that’s how math becomes muscle memory.
I hate it when people say “nahi degi” after a man normally compliments or takes a girl’s side on anything. Please get your mind out of the gutter for once. 🙏
It should be mandatory when teaching Jordan/Frobenius normal forms to point out that partial fraction decomposition is just the (primary) rational canonical form of the operator x : k(x)/k[x] → k(x)/k[x] restricted to a finite dimensional subspace closed under it :)
I used to think, the Indian judiciary is the bottom of the barrel, the absolute scum of the earth.
Well, turns out - there's a new challenger to that title.
“The fact that Germany yet lives … is thanks to him alone.”
—Joseph Goebbels on Hitler’s 56th birthday, ten days before Hitler shot himself in his bunker
• Gen V starts with Marie’s dad celebrating A-Train becoming the 1st Black man in the Seven — Annabeth & Marie playing in the background.
• S2 ends with A-Train inviting Marie & Annabeth to join him — but this time, instead of the Seven, he’s part of the resistance.
#GenV