Ermittlung der mittleren Masszahlen von Partikeln eines Körpersystems durch Messungen auf dem Rand eines Schnittbereichs

Autor:	Hans Giger
Rok vydání:	1967
Předmět:	Mean curvature Plane (geometry) Euclidean space Applied Mathematics General Mathematics Simply connected space Regular polygon General Physics and Astronomy Boundary (topology) Geometry Surface (topology) Mathematics Integral geometry
Zdroj:	Zeitschrift für angewandte Mathematik und Physik ZAMP. 18:883-888
ISSN:	1420-9039 0044-2275
DOI:	10.1007/bf01602725
Popis:	The basic stereologic formulae which allow to determine the characteristic densities of a system of convex bodies in the three-dimensional euclidian space (density of volume, surface, integral of mean curvature) and those of a system of simply connected domains in the two-dimensional euclidian plane (density of area, length of the boundaries) are derived with the help of Integral Geometry. It is shown how one can determine the density of the number of particles in these systems counting the particles in a sample and their sections on its boundary.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::55284f7db7cec8e1ce8965095a08c0ff https://doi.org/10.1007/bf01602725 Zobrazit plný text záznamu Full text from SpringerLink