The Cauchy Functional Equation

We prove that the only continuous solutions to the Cauchy Functional Equation are straight lines through the origin.
#mikedabkowski, #mikethemathematician, #profdabkowski, #realanalysis

[@sagardhiman7327]

Thanks for the video sir.

[@mikethemathematician]

@croncoder862 You are welcome! This is a cool equation. If we don't assume continuity, the axiom of choice generates lots of other solutions!

[@mufaknr8811]

Wow!!

[@Ajay-yz6fj]

I love the handout made by even chen on this, ig its name was Monsters

[@mikethemathematician]

I love other mathematicians posting explanations! My explanations are meant to be a multiplier to spread mathematical knowledge!

[@Ajay-yz6fj]

Loved the video sir 😅❤

[@mikethemathematician]

I love functional equations! They are tricky, but their solutions are beautiful! I will post problems more soon!