Sentence examples for closed connected from inspiring English sources

Let (Xsubseteq mathbf{R}^{n}) be a nonempty, closed, connected, and locally connected subset of (mathbf{R}^{n}), and let (h:Xtomathbf{R}) be a continuous function.

The stability of reduction is closed connected to the method of its fixation.

Let M1 and M2 be oriented, closed, connected manifolds of equal dimension.

Sensing regions can have any shape that is closed, connected, and without holes, as in Figure 1(a).

Figure 1 Sensing regions associated with a sensor: (a) a general shape that is closed, connected, and without holes, and (b) a disk.

We do not make any particular assumption on the shape of the areas covered by each sensor, besides that they must be closed, connected, and without holes.

Ironically, Sony is closing Connect, its ill-fated online music store, by next March in favor of a Windows Media-based platform for its music players — in favor of interoperability.

So is narrative: it is allowed to draw in all the stories that are close, connected as though by the rules of harmony.

In this work we demonstrate that the close connected use of experimental and theoretical methods can be the key for deriving experimental data and mathematical models of a high quality.

This means that the largest cities are the most likely to exert hub functions in the network, at least at the local level (the clustering coefficient is a local level measure), in other words to dominate their closest connected neighbors.

We become closer, connected in our humanity.