Sentence examples for connected and connected from inspiring English sources

If X is locally compact, locally connected and connected, then (K X)) is a locally compact AR-space.

(4) The cycle graph C n is not star-shaped for n > 3. (5) Any finite simply connected and connected subgraph of an infinite hexagonal graph is star-shaped.

Hence, let (X= X,d)) be a Peano's continuum, i.e. compact, locally connected and connected metric space and ({varphi_{i}colon X to K X); i=1,ldots,m}) be a system of multivalued continuous maps with compact values.

Let ((X,d)) be a compact, locally connected and connected metric space and ({varphi_{i}colon X to K X); i=1,ldots,m}) be a system of continuous multivalued maps with compact values.

If X is a nondegenerate Peano's continuum (i.e. compact, locally connected and connected), then (K X)) is up to a homeomorphism, the Hilbert cube, i.e. a special case of a compact AR-space.

Usually the term "strongly connected" is applied to what we call "connected" (and "connected" to what we call "weakly connected"), but the need to distinguish three levels of connectedness makes this terminology helpful (note that strong connectedness (Rightarrow ) connectedness (Rightarrow ) weak connectedness).

They are connected and connecting in ways that I find both fascinating and appalling in the sense that everybody's trying to make every story work on every platform.

Consequently, we distinguish between two states "connecting" and "connected".

Mesh Wi-Fi router company Eero wants to provide an easy way for consumers to connect and connect with all the smart devices in their home.

It will be interesting how the other major retailers react to this in building the digital enterprise of connected home, connected retail and connected everything.

Let be a map between connected, locally path connected, and semilocally simply connected spaces.