Found 99 Documents (Results 1–99)
On some novel methods for solving the generalized Fermat-Torricelli problem in Hilbert spaces. (English) Zbl 07761911
Estimations of covering functionals of simplices. (English) Zbl 1534.52018
Reviewer: Marek Lassak (Bydgoszcz)
Efficient \(k\)-center algorithms for planar points in convex position. (English) Zbl 07789709
Morin, Pat (ed.) et al., Algorithms and data structures. 18th international symposium, WADS 2023, Montreal, QC, Canada, July 31 – August 2, 2023. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 14079, 262-274 (2023).
Borsuk’s problem, Boltyanski’s illumination problem, and circumradius. (English) Zbl 07743993
Reviewer: Marek Lassak (Bydgoszcz)
MSC:
52C17
Complete sets in normed linear spaces. (English) Zbl 1521.46008
Reviewer: Clemente Zanco (Milano)
Orthogonality types in normed linear spaces. (English) Zbl 1503.46009
Papadopoulos, Athanase (ed.), Surveys in geometry I. Cham: Springer. 97-170 (2022).
Reviewer: Dirk Keppens (Gent)
Minkowski geometry – some concepts and recent developments. (English) Zbl 1506.52001
Papadopoulos, Athanase (ed.), Surveys in geometry I. Cham: Springer. 49-95 (2022).
Reviewer: Günter F. Steinke (Christchurch)
The median triangle theorem as an entrance to certain issues in higher-dimensional geometry. (English) Zbl 1502.51006
Reviewer: Cătălin Barbu (Bačau)
MSC:
51M04
Convex analysis in normed spaces and metric projections onto convex bodies. (English) Zbl 1490.52007
Reviewer: T. D. Narang (Amritsar)
Duality of gauges and symplectic forms in vector spaces. (English) Zbl 1482.52010
Reviewer: Stefan Cobzaş (Cluj-Napoca)
Coproximinality of linear subspaces in generalized Minkowski spaces. (English) Zbl 1481.41016
Reviewer: Francisco Pérez Acosta (La Laguna)
Volumetric bounds for intersections of congruent balls in Euclidean spaces. (English) Zbl 1475.52003
Reviewer: Carsten Schütt (Kiel)
Starshaped sets. (English) Zbl 1454.52001
Reviewer: Rolf Schneider (Freiburg im Breisgau)
Pompeiu’s theorem and the moduli space of triangles. (English) Zbl 1454.51010
Reviewer: Cătălin Barbu (Bacau)
MSC:
51M04
Solving \(k\)-center problems involving sets based on optimization techniques. (English) Zbl 1439.49026
Reviewer: Chadi Nour (Byblos)
Existence of diametrically complete sets with empty interior in reflexive and separable Banach spaces. (English) Zbl 1450.46008
Reviewer: Marek Cúth (Praha)
Orthogonality in locally convex spaces: two nonlinear generalizations of Neumann’s lemma. (English) Zbl 1477.47003
Reviewer: T.S.S.R.K. Rao (Bangalore)
A complete system of the shapes of triangles. (English) Zbl 1448.51017
Reviewer: Sándor Nagydobai Kiss (Satu Mare)
MSC:
51N20
Orthogonality in generalized Minkowski spaces. (English) Zbl 1421.46016
Reviewer: Ljiljana Arambašić (Zagreb)
Covering the boundary of a convex body with its smaller homothetic copies. (English) Zbl 1405.52019
MSC:
52C17
Triangles in convex distance planes. (English) Zbl 1408.52001
Beitr. Algebra Geom. 59, No. 4, 797-804 (2018); correction ibid. 59, No. 4, 805 (2018).
Reviewer: Vitor Balestro (Niterói)
Burmester theory in Cayley-Klein planes with affine base. (English) Zbl 1447.53015
Reviewer: Hans Havlicek (Wien)
Uniqueness of completions and related topics. (English) Zbl 1417.46012
Reviewer: Zsolt Lángi (Budapest)
Observations on circumcenters in normed planes. (English) Zbl 1387.52005
Reviewer: Norbert Knarr (Stuttgart)
Geometric properties of a sine function extendable to arbitrary normed planes. (English) Zbl 1367.52005
Isometries of Minkowski geometries. (English) Zbl 1394.47029
Reviewer: Pedro Martín Jiménez (Badajoz)
Linear time algorithm for 1-center in \(\mathfrak {R}^d\) under convex polyhedral distance function. (English) Zbl 1475.68406
Zhu, Daming (ed.) et al., Frontiers in algorithmics. 10th international workshop, FAW 2016, Qingdao, China, June 30 – July 2, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9711, 41-52 (2016).
A new construction of Radon curves and related topics. (English) Zbl 1372.52004
Reviewer: A. E. Litvak (Edmonton)
On the optimality of Napoleon triangles. (English) Zbl 1347.51006
MSC:
51M15
One-parameter homothetic motions and Euler-Savary formula in generalized complex number plane \(\mathbb C_J\). (English) Zbl 1339.53008
The log-exponential smoothing technique and Nesterov’s accelerated gradient method for generalized Sylvester problems. (English) Zbl 1342.49050
Reviewer: Karel Zimmermann (Praha)
One-parameter planar motions in generalized complex number plane \({\mathbb{C}_{J}}\). (English) Zbl 1325.30042
MSC:
30G35
Minsum location extended to gauges and to convex sets. (English) Zbl 1329.52010
Reviewer: S. S. Kutateladze (Novosibirsk)
Weiszfeld’s method: old and new results. (English) Zbl 1316.49001
Reviewer: Igor V. Konnov (Kazan)
On orthocentric systems in Minkowski planes. (English) Zbl 1321.51018
Reviewer: Pedro Martín Jiménez (Badajoz)
Classical curve theory in normed planes. (English) Zbl 1364.52005
MSC:
52A21
On translative coverings of convex bodies. (English) Zbl 1305.52022
Reviewer: Lángi Zsolt (Budapest)
Illuminating and covering convex bodies. (English) Zbl 1303.52009
MSC:
52C15
Limit shape of iterated Kiepert triangles. (English) Zbl 1301.51021
Reviewer: Antonio M. Oller (Zaragoza)
Constructions of solutions to generalized Sylvester and Fermat-Torricelli problems for Euclidean balls. (English) Zbl 1318.90073
Reviewer: Svetlana A. Kravchenko (Minsk)
Concurrency of the altitudes of a triangle. (English) Zbl 1291.51012
Reviewer: Antonio M. Oller (Zaragoza)
Circle geometries modeled in projective lines over \(\mathbb R^2\)-rings. (English. Russian original) Zbl 1280.51003
J. Math. Sci., New York 191, No. 6, 764-767 (2013); translation from Sovrem. Mat. Prilozh. 79 (2012).
MSC:
51C05
Orthocentric simplices as the true generalizations of triangles. (English) Zbl 1287.51011
Reviewer: Ana Soledad Meroño Moreno (Madrid)
Convolution filters for polygons and the Petr-Douglas-Neumann theorem. (English) Zbl 1287.51013
Reviewer: Georgi Hristov Georgiev (Shumen)
The Fermat-Torricelli problem. I: A discrete gradient-method approach. (English) Zbl 1292.90282
Reviewer: Gerhard-Wilhelm Weber (Ankara)
Discrete geometry in Minkowski spaces. (English) Zbl 1290.52007
Bezdek, Károly (ed.) et al., Discrete geometry and optimization. Selected papers based on the presentations at the conference and workshop, Toronto, Canada, September 19–23, 2011. New York, NY: Springer (ISBN 978-3-319-00199-9/hbk; 978-3-319-00200-2/ebook). Fields Institute Communications 69, 1-15 (2013).
Reviewer: A. E. Litvak (Edmonton)
Intersections of balls and sets of constant width in finite-dimensional normed spaces. (English) Zbl 1278.52002
Reviewer: Erhard Heil (Darmstadt)
Cassini curves in normed planes. (English) Zbl 1276.52008
Reviewer: Martin Henk (Magdeburg)
The smallest enclosing ball problem and the smallest intersecting ball problem: existence and uniqueness of solutions. (English) Zbl 1291.90311
MSC:
90C48
Slopes of bisectors in normed planes. (English) Zbl 1268.52005
Reviewer: Joscha Prochno (Linz)
Minimal time functions and the smallest intersecting ball problem with unbounded dynamics. (English) Zbl 1271.90085
Reviewer: Rita Pini (Milano)
The open mouth theorem in higher dimensions. (English) Zbl 1244.51004
MSC:
51M04
Minimal enclosing discs, circumcircles, and circumcenters in normed planes. II. (English) Zbl 1251.65016
Reviewer: Jason Hanson (Redmond)
On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces. (English) Zbl 1241.46006
Geometry where direction matters – or does it? (English) Zbl 1233.52005
Reviewer: Rolf Riesinger (Wien)
On regular figures in normed planes. (English) Zbl 1235.52011
Reviewer: Georgi Hristov Georgiev (Shumen)
Uniformly convex subsets of the Hilbert space with modulus of convexity of the second order. (English) Zbl 1220.46010
On diagonalizable operators in Minkowski spaces with the Lipschitz property. (English) Zbl 1202.47003
Reviewer: Anatolij M. Plichko (Krakow)
On Miquel’s theorem and inversions in normed planes. (English) Zbl 1210.51005
Reviewer: Günter F. Steinke (Christchurch)
The sequence of generalized median triangles and a new shape function. (English) Zbl 1204.51020
Reviewer: Georgi Hristov Georgiev (Shumen)
On the measurability of sets of pairs of intersecting nonisotropic straight lines of type beta in the simply isotropic space. (English) Zbl 1203.53072
Reviewer: Adela-Gabriela Mihai (Bucureşti)
MSC:
53C65
On regular 4-coverings and their application for lattice coverings in normed planes. (English) Zbl 1186.52007
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