[PDF][PDF] Morphic numbers

J Aarts, R Fokkink, G Kruijtzer - Nieuw Archief voor Wiskunde, 2001 - nieuwarchief.nl
… it follows that the plastic number also satisfies x − 1 = x−4 and thus is a morphic number (with
k = … and the plastic number of Dom Van der Laan are the only morphic numbers. Theorem 1 …

Morphic and automatic words: maximal blocks and Diophantine approximation

Y Bugeaud, D Krieger, J Shallit - arXiv preprint arXiv:0808.2544, 2008 - arxiv.org
… Then limsupk→∞(jk/ik) is algebraic if w is morphic, and rational if w is … and morphic numbers.
In particular, we show that the irrationality exponent of automatic (resp., morphic) numbers

Equality of morphic sequences

H Zantema - arXiv preprint arXiv:2407.15721, 2024 - arxiv.org
… same morphic sequence. This paper investigates how to prove that two such representations
of a morphic … We write N for the set of natural numbers, including 0. A sequence σ over an …

Morphic computing

G Resconi, M Nikravesh - Applied Soft Computing, 2008 - Elsevier
… In this paper, we assume that computing is not always related to symbolic entities as numbers,
words or other symbolic entities. Fields as entities are more complex than any symbolic …

On the complexity of algebraic numbers I. Expansions in integer bases

B Adamczewski, Y Bugeaud - Annals of Mathematics, 2007 - JSTOR
number cannot have low complexity. Furthermore, we es tablish that irrational morphic
numbers … In particular, irrational automatic numbers are transcendental. Our main tool is a new, …

[PDF][PDF] A characterization of morphic words with polynomial growth

T Smith - Discrete Mathematics & Theoretical Computer …, 2020 - dmtcs.episciences.org
… is morphic with growth Θ(nk) iff it is a zigzag word of depth k. As corollaries, we obtain that the
morphic … The net effect is that the number of as in each block remains stationary at 1, while …

[PDF][PDF] π-morphic rings

Q Huang, J Chen - Kyungpook Mathematical Journal, 2007 - koreascience.kr
… is called left morphic if every element is left morphic. In this paper, an element a in a ring R
is called left π-morphic (resp. left G-morphic) if there exists a positive number n such that an (…

MorphIC: A 65-nm 738k-Synapse/mm Quad-Core Binary-Weight Digital Neuromorphic Processor With Stochastic Spike-Driven Online Learning

C Frenkel, JD Legat, D Bol - IEEE transactions on biomedical …, 2019 - ieeexplore.ieee.org
… Adding this architectural improvement to MorphIC would reduce the number of SOPs to
be processed and thus the time per inference, bringing Einfer down to 16.0 μJ per inference. …

[HTML][HTML] Morphic group rings

J Chen, Y Li, Y Zhou - Journal of Pure and Applied Algebra, 2006 - Elsevier
… In case (I), it is proved that for a finite Abelian group G and a semisimple ring R, the group
ring RG is (strongly) left morphic if and only if for each prime number p not invertible in R, the …

Morphic Angles

M Vanderroost - Nexus Network Journal, 2016 - Springer
… The golden ratio and the plastic number are both so-called morphic numbers that have been
number. In this paper, the concept of morphic angles will be introduced, based on morphic