1st derivative: speed
2nd: acceleration
3rd: jerk
4th: snap/jonce 
5th: crackle
6th: pop

Not kidding. https://en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth_derivatives_of_position

Blogger at ribbonfarm.com, running summerofprotocols.com, host of /gloom ☀️

Design and software at Apple. Also into AI, philosophy of mind, ethics.

There’s nothing to permit. These are just math definitions. “Physics” is just constraints that hold among them. F=ma is a constraint on “acceleration” if F is a pure noise a is as well and all higher derivatives will be non-zero. In practice pure noise doesn’t exist so really high derivatives will go to zer

how would the laws of physics permit those (4,5,6)?

creating and destroying; built flying cars & autonomous vehicles, now building roc.camera, writings: july.rocks

Really curious to know more applications of snap crackle and pop, I feel I’ve seen up to jerk in practice in dynamics but beyond that not as frequently

Perhaps using non uniform high order derivatives in partial Fourier transforms? FFT perhaps? 

Or simulating computational fluid dynamics modeling for chemical reactions with fluid flows to provide different rates of change of different gases against each other? Still doesn’t seem to go beyond snap though?

Reminds me of the higher order statistical moments 

Everyone knows the mean and std dev

Skewness and Kurtosis are much more niche