Sentence examples for connect surface from inspiring English sources

In a bedrock river environment these features variably connect surface water to groundwater.

Any object with a simply connected surface can be smoothed out to look like a sphere.Imagine, by contrast, an elastic band that passes through the hole in a doughnut.

Suppose that S is a complete simply connected surface with Gauss curvature (Kgeq M).

The maximum density on the connecting surface is the density of the saddle between the two peaks and stored.

In particular, the eigenvalue comparison theorem is also valid when S is a two-dimensional complete simply connected surface.

Saddle point: The density maximum on the connecting surface between two peak patches is located at the saddle point connecting the two peaks.

The method is designed so that the phase surface is treated as a collection of physically linked but not logically connected surface elements.

Let D be a complete simply connected surface and A denote the area of D. Then begin{aligned} lambda_{1}(D)geqfrA}{4pi}{A}.

Let (D_{r}^{M} ) denote the geodesic disc of radius r on the complete simply connected surface of constant Gauss curvature (Kequiv M).

For (kappainmathbb{R}), let (M_{kappa}:=(M_{kappa},d_{kappa})) denote the unique simply connected surface (real two-dimensional Riemannian manifold) with constant curvature κ.

The unit disk and the unit sphere serve this purpose for the simply connected surfaces with boundary and for the simply connected closed surfaces without boundary, respectively.