Sentence examples for connected surface from inspiring English sources

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).

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

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}.

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.

In my joint work with Wajnryb [104] the DEF = DIFF question was shown to have a negative answer also for simply connected surfaces (indeed for some of the families of surfaces constructed in [82]).

Google was showing off its Project Jacquard at I/O 2015, a connected fabric tech that lets you build connected surfaces right into your clothes, in a way that makes it easy to connect to devices and power, while letting clothes makers make stuff that actually looks good.

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

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