What's jet-space? A jet is a fancy way to write down and track a function together with a number of its derivatives in a fancy way. Say, there's a sufficiently smooth function f: R^n -> R^m, then we can approximate f using a Taylor expansion:

f(x) = f(x0)/0! + f'(x0)·x/1! + f"(x0)·x^2/2! ... f^(k) (x0)·x^k/k! + E(x0,k)

The E is called error term, and it's there so I'm allowed to use an equal sign. Or rather, let's introduce a jet symbol that doesn't include the error term:

J^k_x0 f (x)


A jet-bundle is just another, fancier name for a jet-space. That's it for now, folks, but as there's still lots of fun stuff to talk about I feel compelled get back at them soon. Corrections, questions, or simply showing interest can help make that happen ;^)


, expansions, on a


Sign in to participate in the conversation

Everyone is welcome as long as you follow our code of conduct! Thank you. Mastodon.cloud is maintained by Sujitech, LLC.