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Autor:
Bollobas, Bela, Riordan, Oliver
Publikováno v:
Bolyai Society Mathematical Studies, Volume 21 (2010), Pages 131-217
Recently, Scullard and Ziff noticed that a broad class of planar percolation models are self-dual under a simple condition that, in a parametrized version of such a model, reduces to a single equation. They state that the solution of the resulting eq
Externí odkaz:
http://arxiv.org/abs/1001.4674
Autor:
Béla Bollobás, Oliver Riordan
Publikováno v:
Bolyai Society Mathematical Studies ISBN: 9783642144431
Recently, Scullard and Ziff noticed that a broad class of planar percolation models are self-dual under a simple condition that, in a parametrized version of such a model, reduces to a single equation. They state that the solution of the resulting eq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c20538bff7f363e081dff145ceae4c10
https://doi.org/10.1007/978-3-642-14444-8_3
https://doi.org/10.1007/978-3-642-14444-8_3
Autor:
Repovš, D.1 dusan.repovs@uni-lj.si, Skopenkov, M.2 stepank@mccme.ru, Cencelj, M.1 matija.cencelj@uni-lj.si
Publikováno v:
Mathematical Notes. Jan/Feb2005, Vol. 77 Issue 1/2, p108-111. 4p.
Novel femtosecond laser ablation system operating containing dual polygon scanner and high repetition rate femtosecond laser being synchronized for roll-to-roll high speed, high accuracy demands.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=r3c4b2081b22::cff827e8e6240636ba421e31118422c8
https://ec.europa.eu/research/participants/documents/downloadPublic?documentIds=080166e5ce7d2e23&appId=PPGMS
https://ec.europa.eu/research/participants/documents/downloadPublic?documentIds=080166e5ce7d2e23&appId=PPGMS
Synchronised dual polygon scanner system operating as stand-alone on simplified test bench.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=r3c4b2081b22::4d0167088d47e7b14b27dbce14d28276
https://ec.europa.eu/research/participants/documents/downloadPublic?documentIds=080166e5bf505dcf&appId=PPGMS
https://ec.europa.eu/research/participants/documents/downloadPublic?documentIds=080166e5bf505dcf&appId=PPGMS
Publikováno v:
Journal of High Energy Physics
Journal of High Energy Physics, Vol 2021, Iss 1, Pp 1-101 (2021)
Journal of High Energy Physics, Vol 2021, Iss 1, Pp 1-101 (2021)
We initiate the systematic study of \emph{local positive spaces} which arise in the context of the Amplituhedron construction for scattering amplitudes in planar maximally supersymmetric Yang-Mills theory. We show that all local positive spaces relev
Autor:
Grégoire Nicollier
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 57:453-458
We characterize affinely regular polygons in a real affine space as follows. Consider two polygons P and Q with the same number of vertices and a common side, P being an affine image of some (convex or nonconvex) regular polygon. Q is then an affine
Autor:
Müller-Hoissen, Folkert
Publikováno v:
SIGMA 20 (2024), 051, 30 pages
Polygon equations generalize the prominent pentagon equation in very much the same way as simplex equations generalize the famous Yang-Baxter equation. In particular, they appeared as ''cocycle equations'' in Street's category theory associated with
Externí odkaz:
http://arxiv.org/abs/2305.17974
Publikováno v:
Mathematical Notes. 77:108-111
We present a short elementary proof of the following twelve-point theorem. Let M be a convex polygon with vertices at lattice points, containing a single lattice point in its interior. Denote by m (respectively, m*) the number of lattice points in th