Generalized Convex Envelopes of Sets and the Problem of Shadow
Gespeichert in:
Verfasser / Beitragende:
[Yurii Zelinskii]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 211/5(2015-12-01), 710-717
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2626-8 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2626-8 | ||
| 100 | 1 | |a Zelinskii |D Yurii |u Institute of Mathematics of the NAS of Ukraine, Kiev, Ukraine |4 aut | |
| 245 | 1 | 0 | |a Generalized Convex Envelopes of Sets and the Problem of Shadow |h [Elektronische Daten] |c [Yurii Zelinskii] |
| 520 | 3 | |a The principal goal of the present work is to solve the problem of shadow for any convex set with nonempty interior in the n-dimensional Euclidean space and under the action of a group of transformations. This problem can be considered as the determination of conditions ensuring the membership of a point to a generalized convex envelope of the family of sets obtained from the initial set by the action of the group of transformations. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a Euclidean space |2 nationallicence | |
| 690 | 7 | |a sphere |2 nationallicence | |
| 690 | 7 | |a ball |2 nationallicence | |
| 690 | 7 | |a convexity |2 nationallicence | |
| 690 | 7 | |a linear convexity |2 nationallicence | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/5(2015-12-01), 710-717 |x 1072-3374 |q 211:5<710 |1 2015 |2 211 |o 10958 | |
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2626-8 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Zelinskii |D Yurii |u Institute of Mathematics of the NAS of Ukraine, Kiev, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 211/5(2015-12-01), 710-717 |x 1072-3374 |q 211:5<710 |1 2015 |2 211 |o 10958 | ||