Results 21 to 30 of about 9,176,618 (297)
Fixed-Parameter Extrapolation and Aperiodic Order [PDF]
For a number of years we have been investigating the geometric and algebraic properties of a family of discrete sets of points in Euclidean space generated by a simple binary operation: pairwise affine combination by a xed parameter, which we call xed-parameter extrapolation.
Stephen Fenner +2 more
openalex +3 more sources
First-order logic and aperiodic languages
A fundamental result about formal languages states: Theorem 1 A regular language is first-order definable if and only if its syntactic monoid contains no nontrivial groups. Rest assured, we will explain in the next section exactly what the various terms in the statement mean!
Howard Straubing
openaire +2 more sources
Highly symmetric aperiodic structures -INVITED [PDF]
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
Group Theory of Syntactical Freedom in DNA Transcription and Genome Decoding
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
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This article focuses on the problem of leader-following consensus of second-order Multi-Agent Systems (MAS) with switching topology and partial aperiodic sampled data.
S. A. Ajwad +4 more
semanticscholar +2 more sources
The Curled Up Dimension in Quasicrystals
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
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The stability problem for the calculation of parameters of the second order damping aperiodic processes is considered. The numerical method of the second order aperiodic process parameters determination, based on iterative procedure of difference equation
Vladimir E Zoteev
doaj +3 more sources
Mechanical characterisation of novel aperiodic lattice structures
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 +1 more source
The problem of adaptive aperiodic intermittent synchronization scheme is studied for inertial memristive delayed neural networks by using a piecewise Lyapunov function in this article.
Mei Liu +3 more
doaj +1 more source
FO-definable transformations of infinite strings [PDF]
The theory of regular and aperiodic transformations of finite strings has recently received a lot of interest. These classes can be equivalently defined using logic (Monadic second-order logic and first-order logic), two-way machines (regular two-way and
Dave, Vrunda +2 more
core +2 more sources

