Measure of Segments which Intersect a Convex Body from Rotational Formulae
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http://dx.doi.org/10.1007/s10114-015-1699-0 |
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Títol
Measure of Segments which Intersect a Convex Body from Rotational FormulaeData de publicació
2015-02Editor
SpringerCita bibliogràfica
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. 345-352Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://link.springer.com/article/10.1007%2Fs10114-015-1699-0#page-1Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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, ... [+]
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. [-]
Publicat a
Acta Mathematica Sinica, English Series (2015), v. 31, n. 2Drets d'accés
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info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
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