Sentence examples for a minimal surface from inspiring English sources

It based on a direct minimization of an energy functional containing a minimal surface regularizer that uses fractional gradient.

It is based on a direct minimization of the appropriate energy functional containing a "minimal surface" regularizer with the fractional gradient.

The minimized quantity of boundary molecules results in a minimal surface area.

(Sigma ) is a minimal surface.

Another basic example of a minimal surface in (S^3) is the so-called Clifford torus.

Finally, we describe estimates for the first eigenvalue of the Laplacian on a minimal surface.

Finally, let us mention the following theorem due to Ros [45]: (Ros [45]) Let (Sigma ) be an embedded minimal surface in (S^3), and let (a) be a unit vector in (mathbb{R }^4).

Assume that is a compact minimal surface in the outside such that is orthogonal to along.

Let be a compact minimal surface satisfying the same assumptions as in Theorem 3.1.

Let be a compact minimal surface satisfying the same assumptions as in Theorem 2.3 except the radially connectedness.

Assume that is a compact minimal surface in the outside of such that is orthogonal to along.