מכל מלמדײ השכלתי (duchifat) wrote,
מכל מלמדײ השכלתי
duchifat

Из нашей (с коллегами из Ариэля и из Тюмени) новой обзорной статьи про кластеры. Первый абзац, филологический, написал я:

The term ‘cluster’ denotes a collection of similar, although not necessarily identical, things that occur together. The word originates from the Middle English clustre, Old English clyster (a clot or a bunch of grapes), thus in the Wycliffite Bible: ‘Thi tetes shul ben as the clustris of a vyne’ (‘May your breasts be like clusters of grapes’, Song of Songs 7:8, translation of Hebrew אשכול).


Еще интересное место:

Since the 1990s, a number of important discoveries have been made about scaling behaviour and topology of real-life networks, including experimental properties such as small-world networks and the scale-free behaviour [48–50]. The small-world concept implies that despite their large size, in most networks, there is a relatively short path between any two nodes. The scale-free behaviour implies a power-law relation between the number of nodes and the number of neighbours, which is somewhat similar to the statistical Benford law [51]. These concepts from the network topology and graphs theory turn out to be instructive for physical characterization of clusters. For example, the small-world effect and scale-free behaviour were reported for packing problems related to aggregation of granular media [52].

48. Watts DJ, Strogatz SH. 1998 Collective dynamics of small-world networks. Nature 393, 440–442. (doi:10.1515/9781400841356.301)

49. Barabási A-L, Albert R. 1999 Emergence of scaling in random networks. Science 286, 509–512. (doi:10.1126/science.286.5439.509)

50. Albert R, Barabási A-L. 2002 Statistical mechanics of complex networks. Rev. Modern Phys. 74, 47–97. (doi:10.1103/RevModPhys.74.47)

51. Whyman G, Ohtori N, Shulzinger E, Bormashenko Ed. 2016 Revisiting the Benford law: when the Benford-like distribution of leading digits in sets of numerical data is expectable? Physica A: Stat. Mech. Appl. 461, 595–601. (doi:10.1016/j.physa.2016.06.054)

52. Andrade Jr JS, Herrmann HJ, Andrade RF, de Silva LR. 2005 Apollonian networks: simultaneously scale-free, small world, euclidean, space filling, and with matching graphs. Phys. Rev. Lett. 94, 018702.
(doi:10.1103/PhysRevLett.94.018702)
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