Sentence examples for directionally differentiable from inspiring English sources

Φ is directionally differentiable at x; and.

φ is called directionally differentiable on X if it is directionally differentiable at every point of X. see [9].

Suppose that is directionally differentiable at every point in and that is onto.

If a function is directionally differentiable, then it is semidifferentiable, but the converse is not true.

(i) is directionally differentiable at ; (ii)for any and with, (2.4).

Let (Xsubseteqmathbb{R}^{n}) be an η-invex set and (varphi: Xrightarrow mathbb{R}) be directionally differentiable on X.

As ϕ is differentiable on W it is also directionally (Gateaux) differentiable, and (q geq{ vert {partialphi(x) v} vert }_{Y}).

Milnor dubbed these differentiable structures "exotic spheres".

Such an object has no smoothness; in mathematical terms, it is not differentiable.

And yet two of the terms in the KPZ equation call for the object to be differentiable.

I think that was directionally the right thing to do".