Found 148 Documents (Results 1–100)
Distinct distances in \(\mathbf{R}^3\) between quadratic and orthogonal curves. (English) Zbl 07878037
Reviewer: László A. Székely (Columbia)
Quantifying the distortion by spin-orbit and spin-spin coupling in molecular clusters using molecular quantum similarity. (English) Zbl 1541.81223
Some applications of signed distances in triangles and circles. (English) Zbl 1527.51006
Reviewer: Cătălin Barbu (Bačau)
Theoretical considerations on an issue from Romanian National Mathematical Olympiad 2019. (English) Zbl 1513.51015
On prescribing total orders and preorders to pairwise distances of points in Euclidean space. (English) Zbl 1487.52010
MSC:
52A37
Approximation and complexity of the capacitated geometric median problem. (English) Zbl 07493546
Santhanam, Rahul (ed.) et al., Computer science – theory and applications. 16th international computer science symposium in Russia, CSR 2021, Sochi, Russia, June 28 – July 2, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12730, 422-434 (2021).
MSC:
68Qxx
Distinct distances in the complex plane. (English) Zbl 1471.52015
Reviewer: Victor V. Pambuccian (Glendale)
Convex-concave backtracking for inertial Bregman proximal gradient algorithms in nonconvex optimization. (English) Zbl 1486.90147
Approximation of Euclidean metric by digital distances. (English) Zbl 1475.68010
Singapore: Springer (ISBN 978-981-15-9900-2/pbk; 978-981-15-9901-9/ebook). xx, 145 p. (2020).
Reviewer: Agnieszka Lisowska (Sosnowiec)
Optimal point sets determining few distinct distances in three-dimensional Euclidean space \(\mathbb{E}^3\). (English) Zbl 1463.52017
Bisectors and pinned distances. (English) Zbl 1462.51010
Reviewer: Boumédiène Et-Taoui (Mulhouse)
On the iteration-complexity of a non-Euclidean hybrid proximal extragradient framework and of a proximal ADMM. (English) Zbl 1433.90203
Randomized algorithms for some hard-to-solve problems of clustering a finite set of points in Euclidean space. (English. Russian original) Zbl 1423.68597
Comput. Math. Math. Phys. 59, No. 5, 842-850 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 5, 895-904 (2019).
Distance transform based on weight sequences. (English) Zbl 1522.68667
Couprie, Michel (ed.) et al., Discrete geometry for computer imagery. 21st IAPR international conference, DGCI 2019, Marne-la-Vallée, France, March 26–28, 2019, Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11414, 62-74 (2019).
Development and evaluation of geostatistical methods for non-Euclidean-based spatial covariance matrices. (English) Zbl 1421.86017
Math. Geosci. 51, No. 6, 767-791 (2019); correction ibid. 51, No. 6, 843 (2019).
Compactness hypothesis, potential functions, and rectifying linear space in machine learning. (English) Zbl 1518.68316
Rozonoer, Lev (ed.) et al., Braverman readings in machine learning. Key ideas from inception to current state. International conference commemorating the 40th anniversary of Emmanuil Braverman’s decease, Boston, MA, USA, April 28–30, 2017. Invited talks. Cham: Springer. Lect. Notes Comput. Sci. 11100, 52-102 (2018).
Tuned communicability metrics in networks. The case of alternative routes for urban traffic. (English) Zbl 1442.90042
A randomized algorithm for a sequence 2-clustering problem. (English. Russian original) Zbl 1423.68584
Comput. Math. Math. Phys. 58, No. 12, 2078-2085 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 12, 2169-2178 (2018).
ClustGeo: an R package for hierarchical clustering with spatial constraints. (English) Zbl 1417.62006
The electron density function of the Hückel (tight-binding) model. (English) Zbl 1402.92445
MSC:
92E10
Distance functions based on multiple types of weighted steps combined with neighborhood sequences. (English) Zbl 1433.68516
MSC:
68U10
First order methods beyond convexity and Lipschitz gradient continuity with applications to quadratic inverse problems. (English) Zbl 1402.90118
On the chamfer polygons on the triangular grid. (English) Zbl 1486.68217
Brimkov, Valentin E. (ed.) et al., Combinatorial image analysis. 18th international workshop, IWCIA 2017, Plovdiv, Bulgaria, June 19–21, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10256, 53-65 (2017).
MSC:
68U05
An approximation scheme for the problem of finding a subsequence. (Russian, English) Zbl 1399.68314
Sib. Zh. Vychisl. Mat. 20, No. 4, 379-393 (2017); translation in Numer. Analysis Appl. 10, No. 4, 313-323 (2017).
An approximation algorithm for a problem of partitioning a sequence into clusters with constraints on their cardinalities. (English. Russian original) Zbl 1390.68763
Proc. Steklov Inst. Math. 299, Suppl. 1, S88-S96 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 3, 144-152 (2016).
Approximation algorithm for the problem of partitioning a sequence into clusters. (English. Russian original) Zbl 1423.68596
Comput. Math. Math. Phys. 57, No. 8, 1376-1383 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 8, xx (2017).
Exact pseudopolynomial algorithm for one sequence partitioning problem. (English. Russian original) Zbl 1366.90225
Autom. Remote Control 78, No. 1, 67-74 (2017); translation from Avtom. Telemekh. 2017, No. 1, 80-90 (2017).
Improved pointwise iteration-complexity of A regularized ADMM and of a regularized non-Euclidean HPE framework. (English) Zbl 06693803
An approximation algorithm for a problem of partitioning a sequence into clusters with restrictions on their cardinalities. (English) Zbl 1380.68400
Kochetov, Yury (ed.) et al., Discrete optimization and operations research. 9th international conference, DOOR 2016, Vladivostok, Russia, September 19–23, 2016. Proceedings. Cham: Springer (ISBN 978-3-319-44913-5/pbk; 978-3-319-44914-2/ebook). Lecture Notes in Computer Science 9869, 171-181 (2016).
Computing the Fréchet distance with a retractable leash. (English) Zbl 1355.68277
Reviewer: Pedro Martín Jiménez (Badajoz)
A fully polynomial-time approximation scheme for a sequence 2-cluster partitioning problem. (Russian, English) Zbl 1349.62274
Diskretn. Anal. Issled. Oper. 23, No. 2, 21-40 (2016); translation in J. Appl. Ind. Math. 10, No. 2, 209-219 (2016).
Digital disks by weighted distances in the triangular grid. (English) Zbl 1475.68414
Normand, Nicolas (ed.) et al., Discrete geometry for computer imagery. 19th IAPR international conference, DGCI 2016, Nantes, France, April 18–20, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9647, 385-397 (2016).
MSC:
68U05
On the complexity of some quadratic Euclidean 2-clustering problems. (English. Russian original) Zbl 1362.68092
Comput. Math. Math. Phys. 56, No. 3, 491-497 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 3, 498-504 (2016).
Fully polynomial-time approximation scheme for a special case of a quadratic Euclidean 2-clustering problem. (English. Russian original) Zbl 1362.68091
Comput. Math. Math. Phys. 56, No. 2, 334-341 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 2, 332-340 (2016).
An approximation polynomial-time algorithm for a sequence bi-clustering problem. (English. Russian original) Zbl 1337.68293
Comput. Math. Math. Phys. 55, No. 6, 1068-1076 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 6, 1076-1085 (2015).
Points on a line that maximize and minimize the ratio of the distances to two given points. (English) Zbl 1322.51008
Reviewer: Mowaffaq Hajja (Amman)
A randomized algorithm for two-cluster partition of a set of vectors. (English. Russian original) Zbl 1331.68288
Comput. Math. Math. Phys. 55, No. 2, 330-339 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 2, 335-344 (2015).
An FPTAS for a vector subset search problem. (Russian, English) Zbl 1324.68245
Diskretn. Anal. Issled. Oper. 21, No. 3, 41-52 (2014); translation in J. Appl. Ind. Math. 8, No. 3, 329-336 (2014).
An approximating polynomial algorithm for a sequence partitioning problem. (Russian, English) Zbl 1324.68243
Diskretn. Anal. Issled. Oper. 21, No. 1, 53-66 (2014); translation in J. Appl. Ind. Math. 8, No. 2, 236-244 (2014).
An alternating extragradient method with non Euclidean projections for saddle point problems. (English) Zbl 1326.90103
MSC:
90C47
Approximation algorithms for geometrical distance problems that are not solvable exactly. (English) Zbl 1303.65006
Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). x, 149 p. (2014).
On complexity of some problems of cluster analysis of vector sequences. (Russian, English) Zbl 1324.68047
Diskretn. Anal. Issled. Oper. 20, No. 2, 47-57 (2013); translation in J. Appl. Ind. Math. 7, No. 3, 363-369 (2013).
Open sets avoiding integral distances. (English) Zbl 1277.52017
Reviewer: László A. Székely (Columbia)
Inequalities involving six numbers, with applications to triangle geometry. (English) Zbl 1260.51005
Reviewer: Mowaffaq Hajja (Amman)
On some rational triangles. (English) Zbl 1276.11046
Reviewer: Arnfried Kemnitz (Braunschweig)
On the Schoenberg transformations in data analysis: theory and illustrations. (English) Zbl 1360.62313
Biological diversity: distinct distributions can lead to the maximization of Rao’s quadratic entropy. (English) Zbl 1211.92065
Measurable sets with excluded distances. (English) Zbl 1169.52005
Reviewer: László A. Székely (Columbia)
An extremum problem for convex polygons. (English) Zbl 1165.51008
Reviewer: Ivko Dimitric (Uniontown)
Erdős-Diophantine geometry: didactic aspects. (Bulgarian) Zbl 1363.97015
Dimovski, Ivan (ed.), Matematika i matematichesko obrazovanie. Sofia: Union of Bulgarian Mathematicians (ISBN 954-8880-19-9/pbk). 279-283 (2005).
Reviewer: Angela Slavova (Sofia)
Graphical representations and odds ratios in a distance-association model for the analysis of cross-classified data. (English) Zbl 1306.62526
MSC:
62P15
Signed distances and the Erdős-Mordell inequality. (English) Zbl 1071.51007
Reviewer: Mowaffaq Hajja (Irbid)
A description of limaçons. (English) Zbl 1066.51011
Reviewer: Otto Röschel (Graz)
Sums of squares of distances in \(m\)-space. (English) Zbl 1047.51006
Reviewer: Salvador Gomis (Alicante)
On extremal point disributions in the Euclidean plane. (English) Zbl 1026.52008
Reviewer: Horst Martini (Chemnitz)
Metric building exercises. (Exercices métriques immobiliers.) (French) Zbl 1009.20036
Reviewer: Athanase Papadopoulos (Strasbourg)
Realization of configurations and the Löwner ellipsoid. (English. Russian original) Zbl 0999.52001
Math. Notes 69, No. 2, 149-157 (2001); translation from Mat. Zametki 69, No. 2, 171-180 (2001).
Reviewer: Szymon Wasowicz (Bielsko-Biała)
A note on: Statistical analysis of shape through triangulation of landmarks. (English) Zbl 1117.62478
Network distance characteristics that affect computational effort in \(p\)-median location problems. (English) Zbl 0982.90031
Comparison of Euclidean approximations of non-Euclidean distances. (English) Zbl 0949.62051
Vichi, Maurizio (ed.) et al., Classification and data analysis. Theory and application. Proceedings of the biannual meeting of the Classification Group of the Società Italiana di Statistica (SIS) held in Pescara, Italy, July 3-4, 1997. Berlin: Springer. Studies in Classification, Data Analysis, and Knowledge Organization. 139-146 (1999).
MSC:
62H25
62-07
A family of transformations for mapping similarities into Euclidean distances according to the additive constant problem. (English) Zbl 0962.62063
Profit maximising single competitive facility location in the plane. (English) Zbl 0927.90072
MSC:
90B80
On the spectrum of distances of a multilevel code, decoded by a multistage decoder. (English) Zbl 0885.94029
An equivalence relation between correspondence analysis and classical metric multidimensional scaling for the recovery of Euclidean distances. (English) Zbl 0899.62074
On the maximum number of unit distances among \(n\) points in dimension four. (English) Zbl 0885.52015
Bárány, Imre (ed.) et al., Intuitive geometry. Proceedings of the 5th conference, Budapest, Hungary, September 3–8, 1995. Budapest: János Bolyai Mathematical Society. Bolyai Soc. Math. Stud. 6, 277-290 (1997).
Reviewer: E.Quaisser (Potsdam)
The Fermat point of a triangle. (English) Zbl 0856.51010
Reviewer: R.Koch (München)
MSC:
51M04
Odd integral distances among points in the plane. (English) Zbl 0844.52010
Reviewer: E.Quaisser (Potsdam)
Local diameters of compact planar sets. (English) Zbl 0844.51009
Reviewer: I.Bárány (Budapest)
Dimensionality problems in \(L_ 1\)-norm representations. (English) Zbl 0833.62003
Cutsem, Bernard van (ed.), Classification and dissimilarity analysis. Berlin: Springer-Verlag. Lect. Notes Stat., Springer-Verlag. 93, 201-224 (1994).
MSC:
62-07
54E35
The partial order by inclusion of the principal classes of dissimilarity on a finite set, and some of their basic properties. (English) Zbl 0847.62048
Cutsem, Bernard van (ed.), Classification and dissimilarity analysis. Berlin: Springer-Verlag. Lect. Notes Stat., Springer-Verlag. 93, 5-65 (1994).
A global optimization method for Weber’s problem with attraction and repulsion. (English) Zbl 0811.90057
Hager, W. W. (ed.) et al., Large scale optimization. State of the art. Papers presented at the conference, held February 15-17, 1993 at the University of Florida, Gainesville, FL, USA. Dordrecht: Kluwer Academic Publishers. 259-293 (1994).
Point sets with minimal number of different distances. (Punktmengen mit minimaler Anzahl verschiedener Abstände.) (German) Zbl 0884.51011
Braunschweig: Naturwiss. Fak., TU Braunschweig, 43 S. (1993).
Two-distance sets and the golden ratio. (English) Zbl 0789.05035
Bergum, G. E. (ed.) et al., Applications of Fibonacci numbers. Volume 5: Proceedings of the fifth international conference on Fibonacci numbers and their applications, University of St. Andrews, Scotland, July 20-24, 1992. Dordrecht: Kluwer Academic Publishers. 279-288 (1993).
Optimal multifacility defensive location on planes with rectilinear distances. (English) Zbl 0783.90063
MSC:
90B85
The number of different distances determined by a set of points in the Euclidean plane. (English) Zbl 0755.52005
Reviewer: I.Vermes (Budapest)
MSC:
52C10
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