Sentence examples for gradient of f from inspiring English sources

The gradient of f is not known.

where ∇f : H → H is the gradient of f.

∇ F ˜ i ( x ) denotes the gradient of F ˜ i at x for i = 1, 2, …, k.  .

The edges are preserved according to the magnitude of gradient of f.

If (f:Hrightarrowmathbb{R}) is a differentiable functional, then we denote by ∇f the gradient of f.

where ∇·(f) is equal to div(f) denoting the divergence of vector f, and ∇f means the gradient of f.

where ∇ ln f is the gradient of ln f and q is the dimension of anti-invariant distribution.

The squared norm of the second fundamental form of M satisfies begin{aligned} Vert hVert ^2ge 2sleft( Vert nabla ^T ln f Vert ^2-1right) end{aligned} (29) where (nabla ^T ln f)) is the gradient of (ln f).

Then (i)  The squared norm of the second fundamental form of M satisfies begin{aligned} Vert hVert ^2ge 2sleft( Vert nabla ^T ln f Vert ^2-1right) end{aligned} (29) where (nabla ^T ln f)) is the gradient of (ln f).   (ii) If the equality sign in (29) holds identically, then (M_1) is a totally geodesic submanifold and (M_2) is a totally umbilical submanifold of ({tilde{M}}).

In this case, f ∘ ( x, y ) coincides with ∇ f ( x ), the value of the gradient ∇f of f at x.

Then the gradient ∇f of f is maximal monotone and hemicontinuous.