🗑️ 🧵 Untitled Thread

Anonymous at Sun, 16 Feb 2025 04:33:12 UTC No. 16587577

>Math teacher
[math]
\iint _{\partial\Omega} \vec{F}\cdot \hat{n}dS = \iiint _{\Omega}\nabla\cdot\vec{F} dV
[/math]
"Here's the proof"
>Physics teacher
[math]
\iint _{\partial\Omega} \vec{F}\cdot \hat{n}dS = \iiint _{\Omega}\nabla\cdot\vec{F} dV
[/math]
"It's pretty intuitive when you think about it, the flux of a vector field through the closed surface is the same as expanding the infinitesimal flux all over the volume contained by the surface"
This is just an example, but i think Math teachers should try to give more intuition (of course after the rigorous proof)