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The only assumption regarding the cloud of points is the existence of a boundary defined by a closed path of four curves.
They reference the area defined by a closed path (i.e. a circuit) in the road network [32].
The main idea of OpenLR for locations which are bound to the road network (such as line locations or closed line locations, describing an area bounded by a closed path, i.e. a circuit of road segments) is covering the location completely with a concatenation of (several) shortest-paths.
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In consequence, evolutionary development is not just a closed path by which contemporary organisms have achieved current biological form and function.
By cyclically permuting the edges of a closed path (mu =e_{1}dots e_{n}), we obtain a closed path (e_{k}dots e_{n}e_{1}dots e_{k-1}) based at the vertex (s(e_{k})) for any (k = 1, ldots, n).
Yep? Student: Along a closed path.
Professor Ramamurti Shankar: No, it's not a closed path.
A path that begins and ends at the same vertex without traversing any edge more than once is called a circuit, or a closed path.
If I go first from here to here, and then back along that one, I get a closed path.
C1 and C2, well, I observe that if I do C1 minus C2, I get a closed path.
The Sierpinski curve, the first few stages of which are shown in Figure 9, contains every point interior to a square, and it describes a closed path.
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