Mathematics

\(\newcommand{\atantwo}{\text{atan2}} \) \(\newcommand{\R}{\mathbb{R}} \) \(\newcommand{\C}{\mathbb{C}} \) \(\newcommand{\Q}{\mathbb{Q}} \) \(\newcommand{\N}{\mathbb{N}} \) \(\newcommand{\vec}[1]{\boldsymbol{\mathbf{#1}}} \) \(\newcommand{\ver}[1]{\boldsymbol{\mathbf{\hat #1}}} \) \(\newcommand{\tensalg}[1]{\mathcal{T}(#1)} \) Disclaimer: This is a really old post I reposted here because I think it might be interesting. I would definitely approach some things differently today! Also, I copied this here from one of Read more…

\(\newcommand{\atantwo}{\text{atan2}} \) \(\newcommand{\sgn}{\text{sgn  }} \) \(\newcommand{\R}{\mathbb{R}} \) \(\newcommand{\vec}[1]{\boldsymbol{\mathbf{#1}}} \) \(\newcommand{\ver}[1]{\boldsymbol{\mathbf{\hat #1}}} \) \(\newcommand{\tensalg}[1]{\mathcal{T}(#1)} \) Prerequisites: Trying to understand polar coordinates How to build stuff out of vector spaces Welcome back to the humble world of understanding polar coordinates, for the Youtube rabbit hole addict turned mathematician. In this installment, we Read more…

\(\newcommand{\atantwo}{\text{atan2}} \) \(\newcommand{\R}{\mathbb{R}} \) \(\newcommand{\vec}[1]{\boldsymbol{\mathbf{#1}}} \) \(\newcommand{\ver}[1]{\boldsymbol{\mathbf{\hat #1}}} \) \(\newcommand{\tensalg}[1]{\mathcal{T}(#1)} \) First post: Trying to understand polar coordinates Welcome to the second installment of this post series! Plot twist: The next posts will have nothing to do with polar coordinates. They are things I discovered while answering my questions about polar Read more…