...domains $D_1$ and $D_2$ in it there is a motion $M$ for which $D_2=M(D_1)$ and $P=M(P)$. See also [[Voronoi lattice types|Voronoi lattice types]].
...e closely connected with the [[Illumination problem|illumination problem]] and the [[Hadwiger hypothesis|Hadwiger hypothesis]].
3 KB (554 words) - 15:34, 11 November 2023
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A chamber is an open convex subset of $ E $.
4 KB (631 words) - 16:43, 4 June 2020
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...ng its origin in a beautiful theorem of E. Helly in combinatorial geometry and a provocative question by P. Vincensini whose answer turned out to be negat
16 KB (2,414 words) - 17:00, 1 July 2020
$#C+1 = 153 : ~/encyclopedia/old_files/data/D033/D.0303080 Discrete group of transformations
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15 KB (2,190 words) - 11:51, 26 March 2023
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...sible to cut fairly an open ham-sandwich consisting of two pieces of bread and a piece of ham with a single straight cut. More generally, for a collection
5 KB (674 words) - 19:43, 5 June 2020
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are arbitrary real numbers and $ x = ( x _ {1}, \dots, x _ {n} ) $.
14 KB (2,052 words) - 10:49, 21 March 2022
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...4]]] on the other. Another approach has been undertaken by Yu. Berezanskii and collaborators [[#References|[a1]]].
9 KB (1,358 words) - 22:11, 5 June 2020
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...a comprehensive discussion on random sets and [[Integral geometry|integral geometry]]. Actually, it is this probabilistic branch which has made morphology into
6 KB (839 words) - 07:59, 6 June 2020
$#C+1 = 308 : ~/encyclopedia/old_files/data/R082/R.0802160 Riemannian geometry in the large
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25 KB (3,732 words) - 22:15, 7 June 2020
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and $ x + \infty = \infty + x = \infty $
14 KB (2,135 words) - 08:27, 6 June 2020
$#C+1 = 298 : ~/encyclopedia/old_files/data/G044/G.0404350 Geometry of numbers,
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28 KB (4,011 words) - 11:37, 19 January 2022
...all png images have been replaced by TeX code, please remove this message and the {{TEX|semi-auto}} category.
...r projective) transformations. They often play a role analogous to that of convex sets in real analysis.
16 KB (2,533 words) - 09:46, 18 February 2024
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In one-dimensional plane geometry the stationary, integro-differential, kinetic transport equation (given an
9 KB (1,280 words) - 20:00, 16 January 2024
...f a space of constant curvature is expressed in terms of the curvature $k$ and the [[metric tensor]] $g_{ij}$ by the formula
...vature are known. The problem of classifying space forms of zero curvature and negative curvature has not yet (1983) been completely solved.
4 KB (626 words) - 05:24, 29 May 2016
$#C+1 = 1 : ~/encyclopedia/old_files/data/G044/G.0404320 Geometry
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20 KB (2,829 words) - 18:41, 11 December 2020
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...up of holomorphic transformations (cf. [[Discrete group of transformations|Discrete group of transformations]]) of an (open) disc $ K $
14 KB (2,109 words) - 20:03, 15 March 2023
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...the concept of an [[Analytic manifold|analytic manifold]]. A local model (and, at the same time, the most important example) of an analytic space over a
22 KB (3,277 words) - 01:53, 19 January 2022
The name of several theorems in discrete mathematics formulated and proved by F.P. Ramsey [[#References|[1]]].
...The finite analogue of this Ramsey theorem was also established by Ramsey and can be formulated in the following way.
4 KB (709 words) - 17:33, 1 November 2014
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and <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/l
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and only if <img align="absmiddle" border="0" src="https://www.encyclopediaofma
34 KB (4,631 words) - 18:28, 30 November 2016
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...has found numerous applications in number theory and integer optimization, and various cryptographic schemes have been broken using this algorithm.
8 KB (1,181 words) - 22:15, 5 June 2020