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The number of triangular islands on a triangular grid

Periodica Mathematica Hungarica, 2009
Using lattice theory, \textit{G.~Czédli} [Eur. J. Comb. 30, No 1, 208--215 (2009; Zbl 1187.05024)] has obtained a sharp upper bound for the number of rectangular islands. His methods are applied in the paper under review to estimate the number \(f(n)\) of triangular islands on a triangular grid with the side length \(n\): \((n^2 + 3n)/5 \leq f(n) \leq (
Eszter K. Horváth   +2 more
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Parallel and Heterogeneous $m$--Hessenberg--Triangular--Triangular Reduction

SIAM Journal on Scientific Computing, 2017
The m-Hessenberg-triangular-triangular (mHTT) reduction is a simultaneous orthogonal reduction of three matrices to condensed form. It has applications, for example, in solving shifted linear systems arising in various control theory problems. A new heterogeneous CPU/GPU implementation of the mHTT reduction is presented and evaluated against an ...
Nela Bosner, Lars Karlsson
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The triangular principle is equivalent to the triangular scheme

Algebra universalis, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kearnes, Keith A., Kiss, Emil W.
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Recognizability of Triangular Picture Languages by Triangular Wang Automata

2014
Wang automata to recognize rectangular picture languages and iso-picture languages were studied in [6, 7]. In this paper we introduce triangular Wang automata based on triangular Wang tiles to recognize triangular picture languages. We discuss scanning strategies and prove that triangular Wang automata with a specific scanning strategy recognize the ...
V. Devi Rajaselvi   +3 more
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On continuous triangular norms

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sándor Jenei, János C. Fodor
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Congenital Triangular Alopecia

Pediatric Dermatology, 1996
Abstract: We report a child with bilateral congenital triangular alopecia. Shaving the scalp and inserting intravenous cannulas into scalp vessels during the neonatal period was misconstrued by the parents as the cause of hair loss, and resulted in medicolegal implications.
D K, Armstrong, D, Burrows
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Triangular order of triangular phase-type distributions∗

Communications in Statistics. Stochastic Models, 1993
Summary: The order of a phase-type distribution is the least number of states needed to represent it. This quantity is not well understood. In this paper we introduce a simpler quantity in the context of triangular (acyclic) phase-type distributions, called triangular order. This is the least number of states needed for a triangular representation.
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Triangular Square Numbers

The Mathematical Gazette, 1972
Shiu has shown [1] that there are infinitely many triangular numbers that are also square. He remarked that while his theorem did give a list of such numbers, it did not give all of them. It seemed that there might be a reiterative method, working in integers, that gave more of these triangular square numbers, and which included all the known smaller ...
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Bicombing triangular buildings

Siberian Mathematical Journal, 1999
The article under review is devoted to the problem of describing finitely generated biautomatic groups. Let \(\Sigma_0\) be a simplicial complex corresponding to a filling of the Euclidean plane by equilateral triangles. A simplicial complex \(\Delta\) is called a triangular building if it can be represented as the union of a family of subcomplexes ...
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Triangular-Like Numbers That Are Triangular

The Fibonacci Quarterly, 2019
Gopal Krishna Panda   +1 more
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