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HRL-Local Infinite Triangular Array Languages

2016
*
Brazilian Archives of Biology and Technology
*

We introduce

doi:10.1590/1678-4324-2016161076
fatcat:tbgfodk4djfnninex3fa2xkz4y
*infinite*triangular*domino**systems*to recognize the*infinite*triangular picture language. Also we introduce strictly*domino*testable ωω-triangular*array*languages. ... A new subclass of*infinite*triangular*arrays*called hrl-local*infinite*triangular*arrays*is introduced. ...*INFINITE*TRIANGULAR PICTURE*AND**DOMINO**SYSTEMS**Infinite*triangular picture has*infinite*number of rows*and**infinite*number of right slanting*and*left slanting lines. ...##
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Generating Tatami Coverings Efficiently
[article]

2014
*
arXiv
*
pre-print

We discuss tatami coverings of n× n grids with n monominoes

arXiv:1403.4776v1
fatcat:nasjavnwpzev5odhu7hrp7ah3i
*and*v vertical*dominoes*, as well as tatami coverings of a two-way*infinitely*-wide strip of constant height, subject to the constraint that they ... We present two algorithms to list certain classes of monomino-*domino*coverings which conform to the tatami restriction; no four tiles meet. ... A strip of height r is a two-way*infinitely*wide integer grid of constant height r. ...##
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Page 4971 of Mathematical Reviews Vol. , Issue 86k
[page]

1986
*
Mathematical Reviews
*

Two

*domino*rectangles are t-orthogonal if they are orthogonal in the Latin rectangle sense*and*if one*domino*rectangle is obtained from the other by flipping all the*dominoes*. ... The resulting*array*is a magic square! D. A. Klarner (Lincoln, Neb.) Matevosyan, A. K. 86k:05025 Construction of orthogonal files, Hadamard matrices*and*their possible applications. (Russian. ...##
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Massively Sub-wavelength Guiding of Electromagnetic Waves

2014
*
Scientific Reports
*

However, whilst the thickness of the guide was massively sub-wavelength, the remaining dimensions (the height

doi:10.1038/srep07495
pmid:25510662
pmcid:PMC5378945
fatcat:4chsx4o5j5fjnm6rnxg4zcvnqe
*and*period of the comb) were much longer. ... are many times (401) longer than any characteristic dimension of the guide, enabling super-sub-wavelength guiding*and*localisation of electromagnetic energy. ... termed this narrowed structure a ''*domino**array*'',*and*the supported modes as ''*domino*plasmons'' (see figure 1 ). ...##
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Effect of particle shape on domino wave propagation: a perspective from 3D, anisotropic discrete element simulations

2013
*
Granular Matter
*

The

doi:10.1007/s10035-013-0472-2
fatcat:u5bffk35afdj5ogodptowpklvm
*dominoes*were modelled using the three-dimensional super-quadric equation*and*very good agreement between the intrinsic collision speeds predicted by the simulations*and*the corresponding experimental ... One specific aspect that is currently only poorly understood is the effect of particle shape on the dynamics of such*systems*. ... Acknowledgments The authors are grateful to the Swiss National Science Foundation (Grant 200021_132657/1)*and*the China Scholarship Council (Guang Lu) for partial financial support of this work. ...##
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Page 16 of Mathematical Reviews Vol. 51, Issue 1
[page]

1976
*
Mathematical Reviews
*

(An iterative

*array*is a two-way*infinite*sequence of identical deterministic finite automata, each connected to its left*and*right neighbors. ... This is achieved by constructing, for each origin-constrained*domino**system*D, a l-*system*Sp which has a solution if*and*only if D has a solution. ...##
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The Domino Effect in Decentralized Wireless Networks
[article]

2012
*
arXiv
*
pre-print

However, a high margin leads to poor

arXiv:1210.5219v1
fatcat:a7qw2spgt5fzhctzupeeg3n32a
*system*performance in a steady-state*and*therefore one has to consider a trade-off between performance*and*propagation of change. ... We provide analytical results from a deterministic network as well as a Poisson distributed network through percolation theory*and*provide simulation results that highlight some aspects of the*domino*effect ... On the other hand, a slight change in power at one transmitter might result in a frequency change at another which can escalate the*domino*effect. Fig. 2 . 2 Illustration of the*array*model. ...##
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Page 471 of Mathematical Reviews Vol. , Issue 88a
[page]

1988
*
Mathematical Reviews
*

Mirkowska (Warsaw)
88a:68075 68Q60 03D05
Harel, David (IL-WEIZ)
Effective transformations on

*infinite*trees, with applications to high undecidability,*dominoes*,*and*fairness. J. Assoc. Comput. ... It gives a software engineering motivation for the initial algebra approach to data abstraction,*and*also a sound*and*com- plete*system*of rules for equational deduction, taking into account many-sorted ...##
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Self-organized criticality: An explanation of the 1/fnoise

1987
*
Physical Review Letters
*

We show that dynamical

doi:10.1103/physrevlett.59.381
pmid:10035754
fatcat:qaqum2qlv5f6vaivauqz6l3goi
*systems*with spatial degrees of freedom naturally evolve into a self-organized critical point. ... This will cause the force on a nearest-neighbor pendulum to exceed the critical value*and*the perturbation will propagate by a*domino*eAect until it hits the end of the*array*. ... Self-organized critical state of minimally stable clusters, for a 100X 100*array*. seed at one site*and*averaging over many*arrays*. ...##
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Page 1390 of Mathematical Reviews Vol. 51, Issue 4
[page]

1976
*
Mathematical Reviews
*

The author studies the extremal length of a network on an

*infinite*graph which has a countably*infinite*number of nodes*and*edges. ... The statuses of neighbour cells must be compatible as in the*domino*problem. ...##
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Exploring Cluster Growth Using a Simple Domino Tiling

2017
*
Condensed Matter
*

This paper

doi:10.3390/condmat2020015
fatcat:6vzpqvsdnzae7czkurarbe5gyy
*and*its deposited material explore clustering of 2 × 1 dimers (*dominoes*) subject to simple interactions*and*temperature. ... Much of the work in*domino*tilings has been statistical, combinatoric*and*thermodynamic in nature. ... Acknowledgments: The author thanks colleagues in the School of Physical Environmental*and*Mathematical Sciences at the University of New South Wales, Canberra, for their encouragement*and*support, including ...##
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Terahertz particle-in-liquid sensing with spoof surface plasmon polariton waveguides

2017
*
APL Photonics
*

These results are promising for the creation of spoof SPP based THz lab-on-a-chip microfluidic devices that are suitable for the analysis of biological liquids such as proteins

doi:10.1063/1.4998566
fatcat:ijh2u5knyra7dnkjcmpbde6jm4
*and*circulating tumour cells ... Our design consists of a*domino*waveguide, that is, a series of periodically arranged rectangular metal blocks on top of a metal surface that supports the propagation of spoof SPPs. ... EP/M001121/1 from the UK's Engineering*and*Physical Science Research Council (EPSRC)*and*partially supported by EDB, ...##
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Domino plasmons for subwavelength terahertz circuitry

2010
*
Optics Express
*

The waveguiding elements are based on plasmonic

doi:10.1364/oe.18.000754
pmid:20173896
fatcat:pfdroruuk5avzfafks4nbjvzlu
*and*metamaterial notions*and*consist of an easy-to-manufacture periodic chain of metallic box-shaped elements protruding out of a metallic surface. ... Additionally, directional couplers, waveguide bends,*and*ring resonators are characterized, demonstrating the flexibility of the proposed concept*and*the prospects for terahertz applications requiring ... Black*and*grey (blue) lines correspond to height h = 1.5d (h = 0.75d). Dashed line stands for*infinitely*wide*dominoes*(L = ∞). ...##
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Terahertz astronomical telescopes and instrumentation

2004
*
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
*

The waveguiding elements are based on plasmonic

doi:10.1098/rsta.2003.1322
pmid:15306528
fatcat:scllf4gizjgc5njvkpulsb6y7a
*and*metamaterial notions*and*consist of an easy-to-manufacture periodic chain of metallic box-shaped elements protruding out of a metallic surface. ... Additionally, directional couplers, waveguide bends,*and*ring resonators are characterized, demonstrating the flexibility of the proposed concept*and*the prospects for terahertz applications requiring ... Black*and*grey (blue) lines correspond to height h = 1.5d (h = 0.75d). Dashed line stands for*infinitely*wide*dominoes*(L = ∞). ...##
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Tilings
[article]

2005
*
arXiv
*
pre-print

However, there are

arXiv:math/0501170v3
fatcat:6q2igqskq5hr3kws23eishualy
*infinitely*many different dart*and*kite tilings of the plane [8, 17] . ... Conway [20] showed that the triangular*array*T (n) can be tiled by tribones if*and*only if n = 12k, 12k + 2, 12k + 9 or 12k + 11 for some k ≥ 0. ...
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