LENGTH DISTRIBUTION OF FUZZY-END SEGMENTS

We have calculated and discussed the probability density distributions of lengths of fuzzy-end segments, i.e. segments the ends of which assume random positions. We performed our calculations for several simple cases in 1, 2 and 3 dimensions: one end fixed, the other assuming a random position, and...

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Main Authors: SANDRO FRIGIO, GIANCARLO COSIMI, GRZEGORZ BERGMAŃSKI, ELŻBIETA URBAŃSKA-GALEWSKA, JAROSŁAW RYBICKI
Format: Article
Language:English
Published: Gdańsk University of Technology 2006-07-01
Series:TASK Quarterly
Subjects:
Online Access:https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2103
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author SANDRO FRIGIO
GIANCARLO COSIMI
GRZEGORZ BERGMAŃSKI
ELŻBIETA URBAŃSKA-GALEWSKA
JAROSŁAW RYBICKI
author_facet SANDRO FRIGIO
GIANCARLO COSIMI
GRZEGORZ BERGMAŃSKI
ELŻBIETA URBAŃSKA-GALEWSKA
JAROSŁAW RYBICKI
author_sort SANDRO FRIGIO
collection DOAJ
description We have calculated and discussed the probability density distributions of lengths of fuzzy-end segments, i.e. segments the ends of which assume random positions. We performed our calculations for several simple cases in 1, 2 and 3 dimensions: one end fixed, the other assuming a random position, and both ends at random positions. The obtained statistical data may serve as reference data for calculations of stochastic-geometrical properties of complex systems, such as conformations of complicated bolted constructions with clearances (in structure mechanics) or energy transfer processes between molecules in diluted systems (in physics).
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spelling doaj.art-fb1e3dacf9404cd9bdf78583b77115582022-12-22T02:53:27ZengGdańsk University of TechnologyTASK Quarterly1428-63942006-07-01103LENGTH DISTRIBUTION OF FUZZY-END SEGMENTSSANDRO FRIGIO0GIANCARLO COSIMI1GRZEGORZ BERGMAŃSKI2ELŻBIETA URBAŃSKA-GALEWSKA3JAROSŁAW RYBICKI4Universita’ di Camerino, Istituto di Matematica e InformaticaUniversita’ di Camerino, Istituto di Matematica e InformaticaGdansk University of Technology, Faculty of Technical Physics and Applied Mathematics, Department of Solid State PhysicsGdansk University of Technology, Faculty of Civil and Environmental EngineeringGdansk University of Technology, Faculty of Technical Physics and Applied Mathematics, Department of Solid State Physics; TASK Computer Centre We have calculated and discussed the probability density distributions of lengths of fuzzy-end segments, i.e. segments the ends of which assume random positions. We performed our calculations for several simple cases in 1, 2 and 3 dimensions: one end fixed, the other assuming a random position, and both ends at random positions. The obtained statistical data may serve as reference data for calculations of stochastic-geometrical properties of complex systems, such as conformations of complicated bolted constructions with clearances (in structure mechanics) or energy transfer processes between molecules in diluted systems (in physics). https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2103fuzzy-end segmentsstochastic geometry
spellingShingle SANDRO FRIGIO
GIANCARLO COSIMI
GRZEGORZ BERGMAŃSKI
ELŻBIETA URBAŃSKA-GALEWSKA
JAROSŁAW RYBICKI
LENGTH DISTRIBUTION OF FUZZY-END SEGMENTS
TASK Quarterly
fuzzy-end segments
stochastic geometry
title LENGTH DISTRIBUTION OF FUZZY-END SEGMENTS
title_full LENGTH DISTRIBUTION OF FUZZY-END SEGMENTS
title_fullStr LENGTH DISTRIBUTION OF FUZZY-END SEGMENTS
title_full_unstemmed LENGTH DISTRIBUTION OF FUZZY-END SEGMENTS
title_short LENGTH DISTRIBUTION OF FUZZY-END SEGMENTS
title_sort length distribution of fuzzy end segments
topic fuzzy-end segments
stochastic geometry
url https://journal.mostwiedzy.pl/TASKQuarterly/article/view/2103
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AT giancarlocosimi lengthdistributionoffuzzyendsegments
AT grzegorzbergmanski lengthdistributionoffuzzyendsegments
AT elzbietaurbanskagalewska lengthdistributionoffuzzyendsegments
AT jarosławrybicki lengthdistributionoffuzzyendsegments