EARLY HISTORY OF GEOMETRIC PROBABILITY AND STEREOLOGY

Autor: Magdalena Hykšová, Anna Kalousová, †Ivan Saxl
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Image Analysis and Stereology, Vol 31, Iss 1, Pp 1-16 (2012)
Druh dokumentu: article
ISSN: 1580-3139
1854-5165
DOI: 10.5566/ias.v31.p1-16
Popis: The paper provides an account of the history of geometric probability and stereology from the time of Newton to the early 20th century. It depicts the development of two parallel ways: on one hand, the theory of geometric probability was formed with minor attention paid to other applications than those concerning spatial chance games. On the other hand, practical rules of the estimation of area or volume fraction and other characteristics, easily deducible from geometric probability theory, were proposed without the knowledge of this branch. A special attention is paid to the paper of J.-É. Barbier published in 1860, which contained the fundamental stereological formulas, but remained almost unnoticed both by mathematicians and practicians.
Databáze: Directory of Open Access Journals