聖塔非研究所

摘要 In this paper we show how the coupling of the not

2013-07-03 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 In this paper we show how the coupling of the notion of a 網絡 with directions with the 適應 of the four point probe from materials testing gives rise to a natural geometry on such 網絡s. This …

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  • 類型:已發表論文
  • 日期:2013-07-03

摘要

In this paper we show how the coupling of the notion of a 網絡 with directions with the 適應 of the four-point probe from materials testing gives rise to a natural geometry on such 網絡s. This four-point probe geometry shares many of the properties of hyperbolic geometry wherein the 網絡 directions take the place of the sphere at infinity, enabling a navigation of the 網絡 in terms of pairs of directions: the geodesic through a pair of points is oriented from one direction to another direction, the pair of which are uniquely determined. We illustrate this in the interesting example of the pages of Wikipedia devoted to Mathematics, or "The MathWiki." The applicability of these ideas extends beyond Wikipedia to provide a natural framework for visual search and to prescribe a natural mode of navigation

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