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On Generalized Planar Random Tesellations
Author(s) -
Stoyan Dietrich
Publication year - 1986
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19861280118
Subject(s) - mathematics , perimeter , planar , regular polygon , combinatorics , mean value , product (mathematics) , enhanced data rates for gsm evolution , geometry , statistics , telecommunications , computer graphics (images) , computer science
The mean value formulae of MECKE for planar random tessellations are true also for tessellations with not‐necessarily convex cells. The same is true for a formula of Ambartzumian for the mean of the product of area and perimeter length of the “typical” cell. While the mean area of the cell containing the origin is greater than that of the “typical” cell, for mean perimeter length and mean edge number analogous inequalities are not true in general.