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Thue–Morse sequence
Known as:
Prouhet-Thue-Morse system
, Prouhet-Thue-Morse sequence
, Generalized Morse sequence
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In mathematics, the Thue–Morse sequence, or Prouhet–Thue–Morse sequence, is the binary sequence (an infinite sequence of 0s and 1s) obtained by…
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26 relations
Automatic sequence
Binary number
Bitstream
Bitwise operation
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Two analogs of Thue-Morse sequence
V. Shevelev
2016
Corpus ID: 119316419
We introduce and study two analogs of one of the best known sequence in Mathematics : Thue-Morse sequence. The first analog is…
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2016
2016
The Thue-Morse sequence along squares is normal
M. Drmota
,
C. Mauduit
,
J. Rivat
2016
Corpus ID: 15038288
The Thue-Morse sequence is a classical example of an almost periodic (or uniformly recurrent) sequence in the sense that its…
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2014
2014
Some identities involving the Prouhet–Thue–Morse sequence and its relatives
J. Byszewski
,
M. Ulas
2014
Corpus ID: 119440234
AbstractLet sk(n) be the sum of digits of the expansion of the integer n in base k. Motivated by certain identities of Nieto, and…
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2011
2011
Lasing in Thue–Morse structures with optimized aperiodicity
H. Noh
,
Jin-Kyu Yang
,
+4 authors
H. Cao
2011
Corpus ID: 121727815
We demonstrate lasing in two-dimensional Thue–Morse structures fabricated in a semiconductor membrane. By changing the relative…
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2007
2007
Transmission Spectra of Thue-Morse Multilayers Containing Negative Index Metamaterials
M. Maksimović
,
Z. Jakšić
2007
Corpus ID: 6109675
We study the optical transmission spectra in one-dimensional aperiodic Thue–Morse multilayers composed from alternating layers of…
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2007
2007
Correlation and Spectral Properties of Multidimensional Thue-morse Sequences
A. Barbé
,
F. V. Haeseler
International Journal of Bifurcation and Chaos in…
2007
Corpus ID: 43788247
This paper considers higher-dimensional generalizations of the classical one-dimensional two-automatic Thue–Morse sequence on…
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2003
2003
Resonant transmission and frequency trifurcation of light waves in Thue-Morse dielectric multilayers
F. Qiu
,
R. Peng
,
+4 authors
S. Jiang
2003
Corpus ID: 51778373
We present in this letter the observation of the optical resonant transmission of Thue-Morse (TM) dielectric multilayers. For the…
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Review
1991
Review
1991
Dual Linear Extensions of Generalised Quadrangles
D. Pasechnik
European journal of combinatorics (Print)
1991
Corpus ID: 1623715
1985
1985
Sequences generated by infinitely iterated morphisms
Patrice Séébold
Discrete Applied Mathematics
1985
Corpus ID: 205054100
1984
1984
Spectral Properties of the Thue-Morse Sequence
R. Yarlagadda
,
J. Hershey
IEEE Transactions on Communications
1984
Corpus ID: 12040422
The Thue-Morse sequence (TMS) has been proposed as a vehicle for effecting comma-free synchronization. The purpose of this…
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