Measure of Segments which Intersect a Convex Body from Rotational Formulae

Gual-Arnau, Ximo; Herold-García, Silena

dc.contributor.author	Gual-Arnau, Ximo
dc.contributor.author	Herold-García, Silena
dc.date.accessioned	2016-05-12T12:20:07Z
dc.date.available	2016-05-12T12:20:07Z
dc.date.issued	2015-02
dc.identifier.citation	GUAL ARNAU, Ximo; HEROLD GARCÍA, Silena. Measure of Segments which Intersect a Convex Body from Rotational Formulae. Acta Mathematica Sinica, English Series (2015), v. 31, n. 2, pp. 345-352	ca_CA
dc.identifier.uri	http://hdl.handle.net/10234/159593
dc.description.abstract	Classical problems in integral geometry and geometric probability involve the kinematic measure of congruent segments of fixed length within a convex body in ℝ3. We give this measure from rotational formulae; that is, from isotropic plane sections through a fixed point. From this result we also obtain a new rotational formula for the volume of a convex body; which is proved to be equivalent to the wedge formula for the volume.	ca_CA
dc.format.extent	8 p.	ca_CA
dc.format.mimetype	application/pdf	ca_CA
dc.language.iso	eng	ca_CA
dc.publisher	Springer	ca_CA
dc.relation.isPartOf	Acta Mathematica Sinica, English Series (2015), v. 31, n. 2	ca_CA
dc.rights.uri	http://rightsstatements.org/vocab/CNE/1.0/	*
dc.subject	Convex body	ca_CA
dc.subject	Flower, integral geometry	ca_CA
dc.subject	Stereo logy	ca_CA
dc.subject	Rotational formulae	ca_CA
dc.subject	Segment	ca_CA
dc.subject	Support set	ca_CA
dc.title	Measure of Segments which Intersect a Convex Body from Rotational Formulae	ca_CA
dc.type	info:eu-repo/semantics/article	ca_CA
dc.identifier.doi	http://dx.doi.org/10.1007/s10114-015-1699-0
dc.rights.accessRights	info:eu-repo/semantics/restrictedAccess	ca_CA
dc.relation.publisherVersion	http://link.springer.com/article/10.1007%2Fs10114-015-1699-0#page-1	ca_CA
dc.type.version	info:eu-repo/semantics/publishedVersion

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