Differentiability means different things in different contexts including : continuously differentiable, " k " times differentiable, differential geometry.
42.
Likewise, by choosing different classes of functions ( say, the Lipschitz class ), we get different flavors of differentiability.
43.
Another way to put this is that the possible differentiability class of does not matter : the group axioms collapse the whole gamut.
44.
Local extrema of differentiable functions can be found by second derivative test, or higher-order derivative test, given sufficient differentiability.
45.
*PM : Lipschitz condition and differentiability, id = 776-- WP guess : Lipschitz condition and differentiability-- Status:
46.
*PM : Lipschitz condition and differentiability, id = 776-- WP guess : Lipschitz condition and differentiability-- Status:
47.
The transition maps on this atlas are defined from the transition maps on the original manifold, and retain the original differentiability class.
48.
This approach typically relies on concavity and differentiability assumptions to track the local evolution of an equilibrium point that varies smoothly with exogenous parameters.
49.
I wonder if the lack of differentiability is the cause of this .-talk 16 : 13, 21 December 2005 ( UTC)
50.
On the other side, non-differentiability leads to a local irreversibility of the dynamics and therefore to the use of complex numbers.
