aperiodic

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APERIODIC Definition & Meaning - Merriam-Webster
The meaning of APERIODIC is of irregular occurrence : not periodic. How to use aperiodic in a sentence. www.merriam-webster.com
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Aperiodic (disambiguation) - Wikipedia
Aperiodic means non-periodic. Typically it refers to aperiodic function. Aperiodic may also refer to: Aperiodic finite state automaton · Aperiodic frequency ... en.wikipedia.org
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Aperiodic tiling - Wikipedia
Aperiodic tilings serve as mathematical models for quasicrystals, physical solids that were discovered in 1982 by Dan Shechtman who subsequently won the Nobel ... en.wikipedia.org
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aperiodic
aperiodic, a. (ˌeɪpɪərɪˈɒdɪk) [f. Gr. ἀ- priv. (a- prefix 14) + periodic a.1] Not periodic; without regular recurrence. In various techn. senses (see quots.); spec. of a galvanometer, without periodic vibrations, ‘dead-beat’.1879 Encycl. Brit. X. 50/2 An intermediate stage called the aperiodic state... Oxford English Dictionary
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Aperiodic Signal - an overview | ScienceDirect Topics
An Aperiodic Signal refers to a signal that does not exhibit periodicity and cannot be represented by a single fundamental period. Instead, it is treated as ... www.sciencedirect.com
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Periodic and aperiodic states in a Markov chain
The period of a state is by definition the greatest common divisor of the length of all paths from that state to itself which have positive ... math.stackexchange.com
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Aperiodic (disambiguation)
Aperiodic means non-periodic. Typically it refers to aperiodic function. Aperiodic may also refer to: Aperiodic finite state automaton Aperiodic frequency Aperiodic graph Aperiodic semigroup Aperiodic set of prototiles wikipedia.org
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aperiodic, adj. meanings, etymology and more | Oxford English ...
aperiodic is a borrowing from Greek, combined with an English element. Etymons: Greek ἀ-, periodic adj.1 · See etymology. Nearby entries. Apelles, n ... www.oed.com
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APERIODIC Synonyms: 76 Similar and Opposite Words
Synonyms for APERIODIC: sporadic, occasional, intermittent, discontinuous, sudden, erratic, irregular, unpredictable; Antonyms of APERIODIC: continuous, ... www.merriam-webster.com
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Aperiodic - Definition, Meaning & Synonyms - Vocabulary.com
adjective not recurring at regular intervals synonyms: nonperiodic noncyclic not having repeated cycles nonoscillatory not having periodic vibrations. www.vocabulary.com
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[2303.10798] An aperiodic monotile - arXiv
A longstanding open problem asks for an aperiodic monotile, also known as an "einstein": a shape that admits tilings of the plane, but never periodic tilings. arxiv.org
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Aperiodic crystal
To understand aperiodic crystal structures, one must use the superspace approach. Superspace Dimensionalities of aperiodic crystals: , , . wikipedia.org
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Turn aperiodic function to periodic I got a quick question regarding aperiodic functions. Let's suppose I have an aperiodic function $$ f(x) = \left\\{ \begin{array}{l l} \exp(-t) & \quad -2\leq t \leq2,\\\ 0 & \quad ...
You could represent the function as a Fourier series: $$g(x) = \sum_{n=-\infty}^{\infty} c_n \, e^{i n \pi x/2}$$ where $$\begin{align}c_n &= \frac1{4} \int_{-2}^2 dt\, e^{-t} \, e^{-i n \pi t/2}\\\ &= \frac1{4} \int_{-2}^2 dt \, e^{-(1 + i n \pi/2) t}\\\ &= \frac{(-1)^n}{4(1 + i n \pi/2)}\left ( e^...
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Aperiodic graph
if and only if the graph is aperiodic. graph is aperiodic. wikipedia.org
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Show that $x \cos(cx)$ is aperiodic I'm using the function $f(x)=x~cos(cx)$ in a paper and the periodicity of the function is relevant. Is there a simple way to show that a function of this form is aperiodic, or is it...
For $c=0$ it's obvious. If $c>0$ $$\lim_{n\to\infty }\frac{2\pi n}{c}\cos\left(c\frac{2\pi n}{c}\right)=+\infty $$ and $$\lim_{n\to\infty }\frac{\pi+2n\pi}{c}\cos\left(c\frac{\pi+2\pi n}{c}\right)=-\infty $$ therefore it's not periodic. For $c<0$ you the proof goes the same.
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