By J.M. Dent, E.P. Dutton
Атлас представляющий историю и географию регионов, которые входят в т.н. античный мир.
9. Македония, Фракия, Дакия.
12. Эгейское море.
13. Малая Азия.
15. Сирия, Мессопотамия.
18. Армения, Колхида, Иберия, Албания.
19-20. Античная Африка.
22-27. Города античного мира и пр.
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Additional resources for Atlas of Ancient and Classical Geography
M2 ) specifies an individual pass, and zk (k = 1, . . , m3 ) specifies an individual peak. 1 m1 = 1 (surrounding pit), m2 = 5, and m3 = 6. 2). It is easy to demonstrate, however, that not all graphs whose vertex sets are composed of the critical points and whose edge sets are composed of the critical lines can be regarded as abstract models of real topographic surfaces; they rather have to satisfy the properties listed below. 5 Throughout the remainder of this chapter, the terms surface network and weighted surface network will be used synonymously.
What is needed here is to trace ridge and course lines emanating from passes on the terrain surface. 2, the previous algorithm holds the corresponding four representative neighbours for each pass. Actually, these four representative neighbours serve as starting points for tracing such ridge and course lines in this algorithm, where the two upper neighbours lead to peaks (a peak) while two lower neighbours lead to pits (a pit). The surface network is then constructed by simply connecting every pass with the peaks and pits reachable from the pass through the ridge and course lines.
4. It is evident that, because of their definition, weighted surface networks are a purely topological data structure. However, for a number of applications like the generalisation of topographic surfaces or the characterisation of certain topographic features – such as river junctions, bifurcations of ridges, and crests leading from peaks to river junctions – the additional consideration of geometrical features is indispensable (Wolf, 1988a,b, 1989, 1990, 1991a). This consideration of geometrical properties can be easily achieved by embedding the weighted surface network into a metric space, that is, by associating (x, y) coordinates with the critical points and the critical lines.