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Permanent URL: https://mezzacotta.net/dinosaur/?comic=679

Strip by: David Morgan-Mar

T-Rex: T-Rex solves a partial differential equation!

T-Rex: f(D*u*, *u*, *x*) = 0 where *u* = *u*(*x*)

T-Rex: And *x* is a vector of arbitrary dimension and D*u* is a matrix of partial derivatives.

T-Rex: First we find F such that F′(D*u*, *u*, *x*) ≈ f(D*u*, *u*, *x*)

Utahraptor: Isn't that harder than just solving f(D*u*, *u*, *x*) = 0 in the first place?

T-Rex: Well sure... but that's

T-Rex: NO FUN!

**The author writes:**

Utahraptor interrupted T-Rex's line of thought:

First we find F such that F′(D*u*, *u*, *x*) ≈ f(D*u*, *u*, *x*), and solve F(D*u*, *u*, *x*) = any constant value. Then simply differentiate F to find an approximate form for f.

Which is obviously more fun.