> For example you can do a transform into the basis of polynomial functions if you wanted to (aka the Taylor series). Any basis you can cook up would do just as

> For example you can do a transform into the basis of polynomial functions if you wanted to (aka the Taylor series). Any basis you can cook up would do just as well so long as its a complete basis. Just be warned that the polynomial you get depends on where you center your Taylor series. There are multiple different Taylor-series approximations for the same function, and each one only converges within a disk in the complex plane which does not include any poles. If you try to fit the Runge function 1 / (1 + 25x^2) with a Taylor series centered at 0 you’re going to have a bad time. https://www.desmos.com/calculator/uyjyjug07m https://www.desmos.com/calculator/uyjyjug07m