隨機多邊形是以某種隨機方式生成的多邊形。 Kendall 推測,隨著多邊形面積變大,隨機多邊形的形狀接近於一個圓盤 (Stoyan et al. 1987, Kovalenko 1999)。
隨機多邊形
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參考文獻
Kovalenko, I. N. "Proof of David Kendall's Conjecture Concerning the Shape of Large Random Polygons." Cybern. Sys. Anal. 33, 461-467, 1997.Kovalenko, I. N. "A Simplified Proof of a Conjecture of D. G. Kendall Concerning Shapes of Random Polygons." J. Appl. Math. Stoch. Anal. 12, 301-310, 1999.Miles, R. E. "A Heuristic Proof of a Long-Standing Conjecture of D. G. Kendall Concerning the Shapes of Certain Large Random Polygons." Adv. Appl. Prob. (SGSA) 27, 397-471, 1997.Stoyan, D.; Kendall, W. S.; and Mecke, J. Stochastic Geometry and Its Applications, 2nd ed. New York: Wiley, 1987.在 中引用
隨機多邊形請這樣引用
Weisstein, Eric W. “隨機多邊形。” 來自 Web 資源。 https://mathworld.tw/RandomPolygon.html