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Logical and Algebraic Characterizations of Rational Transductions [PDF]

open access: yesLogical Methods in Computer Science, 2019
Rational word languages can be defined by several equivalent means: finite state automata, rational expressions, finite congruences, or monadic second-order (MSO) logic.
Emmanuel Filiot   +2 more
doaj   +6 more sources

Thermal Emission Control via Bandgap Engineering in Aperiodically Designed Nanophotonic Devices [PDF]

open access: yesNanomaterials, 2015
Aperiodic photonic crystals can open up novel routes for more efficient photon management due to increased degrees of freedom in their design along with the unique properties brought about by the long-range aperiodic order as compared to their periodic ...
Enrique MaciĆ”
doaj   +4 more sources

Compressive behaviour of cellular structures with aperiodic order

open access: yesResults in Materials, 2022
Cellular structures are commonplace in engineering applications, such as aerospace and medical engineering, because material-air composites offer significant mechanical benefits, for example due to improved weight-to-strength ratio.
R.J. Moat   +5 more
doaj   +3 more sources

Mechanical characterisation of novel aperiodic lattice structures

open access: yesMaterials & Design, 2023
This paper compares the mechanical properties of a class of lattice metamaterials with aesthetically-pleasing patterns that are governed by the mathematics of aperiodic order.
Chikwesiri Imediegwu   +5 more
doaj   +3 more sources

Aperiodicity in equilibrium systems: Between order and disorder [PDF]

open access: yesActa Physica Polonica A, 2013
Spatial aperiodicity occurs in various models and material s. Although today the most well-known examples occur in the area of quasicrystals, other applications might also be of interest.
Aernout C. D, Van Enter
core   +3 more sources

Spectral notions of aperiodic order

open access: yesDiscrete and Continuous Dynamical Systems - Series S, 2017
32 pages, with 2 figures; review-style ...
Michael Baake, Daniel Lenz
exaly   +3 more sources

Highly symmetric aperiodic structures -INVITED [PDF]

open access: yesEPJ Web of Conferences, 2021
The symmetries of periodic structures are severely constrained by the crystallographic restriction. In particular, in two and three spatial dimensions, only rotational axes of order 1, 2, 3, 4 or 6 are possible.
Grimm Uwe
doaj   +1 more source

Aperiodicity, Star-freeness, and First-order Logic Definability of Operator Precedence Languages [PDF]

open access: yesLogical Methods in Computer Science, 2023
A classic result in formal language theory is the equivalence among non-counting, or aperiodic, regular languages, and languages defined through star-free regular expressions, or first-order logic.
Dino Mandrioli   +2 more
doaj   +1 more source

Group Theory of Syntactical Freedom in DNA Transcription and Genome Decoding

open access: yesCurrent Issues in Molecular Biology, 2022
Transcription factors (TFs) are proteins that recognize specific DNA fragments in order to decode the genome and ensure its optimal functioning. TFs work at the local and global scales by specifying cell type, cell growth and death, cell migration ...
Michel Planat   +5 more
doaj   +1 more source

The Curled Up Dimension in Quasicrystals

open access: yesCrystals, 2021
Most quasicrystals can be generated by the cut-and-project method from higher dimensional parent lattices. In doing so they lose the periodic order their parent lattice possess, replaced with aperiodic order, due to the irrationality of the projection ...
Fang Fang, Richard Clawson, Klee Irwin
doaj   +1 more source

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