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  1. Siberian Mathematical Journal
  2. Siberian Mathematical Journal : Volume 52
  3. Siberian Mathematical Journal : Volume 52, Issue 2, March 2011
  4. Ptolemaic spaces
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Siberian Mathematical Journal : Volume 58
Siberian Mathematical Journal : Volume 57
Siberian Mathematical Journal : Volume 56
Siberian Mathematical Journal : Volume 55
Siberian Mathematical Journal : Volume 54
Siberian Mathematical Journal : Volume 53
Siberian Mathematical Journal : Volume 52
Siberian Mathematical Journal : Volume 52, Issue 6, November 2011
Siberian Mathematical Journal : Volume 52, Issue 5, September 2011
Siberian Mathematical Journal : Volume 52, Issue 4, July 2011
Siberian Mathematical Journal : Volume 52, Issue 3, May 2011
Siberian Mathematical Journal : Volume 52, Issue 2, March 2011
On the four-element equation for the functions analytic beyond a trapezoid and its applications
On ℑ$_{ n }$-normal subgroups of finite groups
The energy method for constructing time-harmonic solutions to the maxwell equations
Ptolemaic spaces
On an article by R. Brown
On the π′-properties of a finite group possessing a hall π-subgroup
On some algebra of continuous linear operators
Representation of orthogonally additive polynomials
Minimal dimension families of complex lines sufficient for holomorphic extension of functions
On the periodic groups saturated by direct products of finite simple groups
Localization near the corner point of the principal eigenfunction of the Dirichlet problem in a domain with thin edging
Partial sums and the radius problem for some class of conformal mappings
Clique matchings in the k-ary n-dimensional cube
Existence of saturated structures
On the number of eigenvalues of a matrix operator
Identities in the varieties generated by the algebras of upper triangular matrices
On Baer-Suzuki π-theorems
On the derived series of some groups
Parametric groups of definable automorphisms of strongly constructive models
Differences of weighted composition operations on the unit polydisk
Identities of the soluble product of abelian groups
On an analog of the Weyl integral formula for the polyhedra having not piecewise smooth boundaries
Siberian Mathematical Journal : Volume 52, Issue 1, January 2011
Siberian Mathematical Journal : Volume 51
Siberian Mathematical Journal : Volume 50
Siberian Mathematical Journal : Volume 49
Siberian Mathematical Journal : Volume 48
Siberian Mathematical Journal : Volume 47
Siberian Mathematical Journal : Volume 46
Siberian Mathematical Journal : Volume 45
Siberian Mathematical Journal : Volume 44
Siberian Mathematical Journal : Volume 43
Siberian Mathematical Journal : Volume 42
Siberian Mathematical Journal : Volume 41
Siberian Mathematical Journal : Volume 40
Siberian Mathematical Journal : Volume 39
Siberian Mathematical Journal : Volume 38

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Ptolemaic spaces

Content Provider Springer Nature Link
Author Dovgosheĭ, A. A. Petrov, E. A.
Copyright Year 2011
Abstract We show that equilateral pseudolinear quadruples are in a certain sense extremally non-Ptolemaic metric spaces. We find four-point pseudometric spaces that are maximally Ptolemaic.
Starting Page 222
Ending Page 229
Page Count 8
File Format PDF
ISSN 00374466
Journal Siberian Mathematical Journal
Volume Number 52
Issue Number 2
e-ISSN 15739260
Language English
Publisher SP MAIK Nauka/Interperiodica
Publisher Date 2011-05-05
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Ptolemaic space extremal problem on a finite metric space pseudometric space pseudolinear quadruple isoperimetric inequality Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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