Displaying similar documents to “Special issue: Probabilistic analysis and models.”

Random lines and tessellations in a plane.

Luis A. Santaló (1980)

Stochastica

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Our purpose is the study of the so called mixed random mosaics, formed by superposition of a given tesellation, not random, of congruent convex polygons and a homogeneous Poisson line process. We give the mean area, the mean perimeter and the mean number of sides of the polygons into which such mosaics divide the plane.

Stereology of grain boundary precipitates

Vratislav Horálek (1989)

Aplikace matematiky

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Precipitates modelled by rotary symmetrical lens-shaped discs are situated on matrix grain boundaries and the homogeneous specimen is intersected by a plate section. The stereological model presented enables one to express all basic parameters of spatial structure and moments of the corresponding probability distributions of quantitative characteristics of precipitates in terms of planar structure parameters the values of which can be estimated from measurements carried out in the plane...