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n. pl. to·pol·o·gies
1. Topographic study of a given place, especially the history of a region as indicated by its topography.
2. Medicine The anatomical structure of a specific area or part of the body.
3. Mathematics
a. The study of certain properties that do not change as geometric figures or spaces undergo continuous deformation. These properties include openness, nearness, connectedness, and continuity.
b. The underlying structure that gives rise to such properties for a given figure or space: The topology of a doughnut and a picture frame are equivalent.
4. Computers The arrangement in which the nodes of a network are connected to each other.

top′o·log′ic (tŏp′ə-lŏj′ĭk), top′o·log′i·cal (-ĭ-kəl) adj.
top′o·log′i·cal·ly adv.
to·pol′o·gist n.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adv.1.topologically - from the point of view of topology
References in periodicals archive ?
If vertices of a network graph are not topologically sorted, we can calculate times of vertices iteratively.
For its part, the Klein bottle (which as Rosen observes, represents "swallowing the serpent") brings back the discontinuity, in that it cannot be constructed (in three dimensions) without the hole that lets it pass through itself--but the hole makes it topologically imperfect.
The system for both the corporate or control networks are designed so that they are on separate core switches with redundant connectivity to critical system servers, which exist in a topologically central location.
The points are then topologically connected together through the process of triangulation, which results in a `mesh-frame' from which a smooth surface is extrapolated; this system of surface generation is common in computer imaging.
Bureau of the Census Topologically Integrated Geographic Encoding and Referencing system (TIGER/Line) maps, which contain street segments and address ranges for the 12 towns, were obtained from the University of Connecticut Map and Geographic Information Center (MAGIC).
All data are topologically structured, and each coverage contains a set of files that describes the features in that thematic layer.
The interior of these disk-shaped single-bilayer structures thus provides an environment for guest proteins that is topologically and chemically similar to that of cell membranes.
It is interesting to find ethnographical information about the location of productions of these chests giving typical characteristics, which helps one to identify them topologically.
Most present algorithms can only morph between topologically similar shapes of which an obvious one-to-one mapping can be easily found between the source and the target.
Throughout the eighties, Cooke maintained close contact with the Census Bureau, who wanted to migrate the DIME files to a more robust computer mapping system, referred to as TIGER -- Topologically Integrated Geographic Encoding and Referencing.
Topologically Integrated Geographic Encoding and Referencing - the system and digital database developed at the Census Bureau to support its mapping needs for the census.
polygon overlay analysis (the ability to topologically overlay two or more GIS layers and create a new layer by combining information from the original map layers whose boundaries may or may not coincide) [ILLUSTRATION FOR FIGURE 3 OMITTED].

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