Measure of segments which intersect a convex body from rotational formulae
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| 024 | 7 | 0 | |a 10.1007/s10114-015-1699-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-1699-0 | ||
| 245 | 0 | 0 | |a Measure of segments which intersect a convex body from rotational formulae |h [Elektronische Daten] |c [Ximo Gual-Arnau, Silena Herold-García] |
| 520 | 3 | |a 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. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Convex body |2 nationallicence | |
| 690 | 7 | |a flower |2 nationallicence | |
| 690 | 7 | |a integral geometry |2 nationallicence | |
| 690 | 7 | |a stereology |2 nationallicence | |
| 690 | 7 | |a rotational formulae |2 nationallicence | |
| 690 | 7 | |a segment |2 nationallicence | |
| 690 | 7 | |a support set |2 nationallicence | |
| 700 | 1 | |a Gual-Arnau |D Ximo |u Departament de Matemàtiques-INIT, Universitat Jaume I., 12071, Castelló, Spain |4 aut | |
| 700 | 1 | |a Herold-García |D Silena |u Departamento de Computación, Universidad de Oriente, 90900, Santiago de Cuba, Cuba |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/2(2015-02-01), 345-352 |x 1439-8516 |q 31:2<345 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-1699-0 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-1699-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Gual-Arnau |D Ximo |u Departament de Matemàtiques-INIT, Universitat Jaume I., 12071, Castelló, Spain |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Herold-García |D Silena |u Departamento de Computación, Universidad de Oriente, 90900, Santiago de Cuba, Cuba |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/2(2015-02-01), 345-352 |x 1439-8516 |q 31:2<345 |1 2015 |2 31 |o 10114 | ||