Three examples of Turing patternsSix stable states from Turing equations, the last one forms Turing patterns
The Turing pattern is a concept introduced by English mathematician Alan Turing in a 1952 paper titled "The Chemical Basis of Morphogenesis" which describes how patterns in nature, such as stripes and spots, can arise naturally and autonomously from a homogeneous, uniform state.[1][2] The pattern arises due to Turing instability which in turn arises due to the interplay between differential diffusion (i.e., different values of diffusion coefficients) of chemical species and chemical reaction. The instability mechanism is unforeseen because a pure diffusion process would be anticipated to have a stabilizing influence on the system.
^Turing, Alan (1952). "The Chemical Basis of Morphogenesis" (PDF). Philosophical Transactions of the Royal Society of London B. 237 (641): 37–72. Bibcode:1952RSPTB.237...37T. doi:10.1098/rstb.1952.0012. JSTOR 92463. S2CID 120437796.
^Stewart, Ian (1998). Life's Other Secret: The New Mathematics of the Living World. Allen Lane: The Penguin Press. pp. 138–140, 142–146, 148, 149, 151, 152. ISBN 0-713-99161-5.
The Turingpattern is a concept introduced by English mathematician Alan Turing in a 1952 paper titled "The Chemical Basis of Morphogenesis" which describes...
an elder brother, John Ferrier Turing, father of Sir John Dermot Turing, 12th Baronet of the Turing baronets. Turing's father's civil service commission...
The Turing test, originally called the imitation game by Alan Turing in 1950, is a test of a machine's ability to exhibit intelligent behaviour equivalent...
machine). It was Turing's doctoral advisor, Alonzo Church, who later coined the term "Turing machine" in a review. With this model, Turing was able to answer...
is an article that the English mathematician Alan Turing wrote in 1952. It describes how patterns in nature, such as stripes and spirals, can arise naturally...
These spatiotemporal patterns slowly drift, the animals' appearance changing imperceptibly as Turing predicted. In visual art, pattern consists in regularity...
science, a universal Turing machine (UTM) is a Turing machine capable of computing any computable sequence, as described by Alan Turing in his seminal paper...
in contrast to the standard Turing test that is administered by a human, CAPTCHAs are sometimes described as reverse Turing tests. Two widely used CAPTCHA...
exhibiting French flag patterning overlapped with a complementary pattern (in this case Turingpattern). In the French flag model, the French flag is used to represent...
theory of morphogenesis Biological pattern formation Spatial distribution modeling using plot samples Turingpatterns A model of a biological system is...
mathematics can be traced to Alan Turing's 1952 paper, "The chemical basis of morphogenesis", a model now known as the Turingpattern. Another famous model is...
century, the British mathematician Alan Turing predicted mechanisms of morphogenesis which give rise to patterns of spots and stripes. The Hungarian biologist...
Institute Turing Lecture Turing machine TuringpatternsTuring reduction Turing switch Turing test Various institutions have paid tribute to Turing by naming...
adjective mathematic(al) and formed the noun mathematics anew, after the pattern of physics and metaphysics, inherited from Greek. In English, the noun...
A neural Turing machine (NTM) is a recurrent neural network model of a Turing machine. The approach was published by Alex Graves et al. in 2014. NTMs combine...
in the family Olividae, the olives. Its shell pattern has been studied as an example of a Turingpattern that can be modeled with cellular automata. Oliva...
problem considered in Turing's 1936 paper ("does a Turing machine starting from a blank tape ever print a given symbol?"). However, Turing equivalence is rather...
(2005). "Turing, Richards and morphogenesis". The Rutherford Journal. 1. Richards, Bernard (2017). "Chapter 35 – Radiolaria: Validating the Turing theory"...
Like Life, Rule 110 with a particular repeating background pattern is known to be Turing complete. This implies that, in principle, any calculation or...
sed… "Implementation of a Turing Machine as Sed Script". Archived from the original on 2018-02-20. Retrieved 2003-04-24. "Turing.sed". Archived from the...
re-opening on 23 June 2018. Virtual Bombe - Online 3D simulation of a Turing-Welchman Bombe Turing Bombe and US Navy Bombe simulator Cryptanalysis of the Enigma...
what is now known as the Turing test to the general public. Turing's paper considers the question "Can machines think?" Turing says that since the words...
the Church–Turing thesis, any algorithm can be computed by a model known to be Turing complete. In fact, it has been demonstrated that Turing completeness...
so-called Turingpatterns. These patterns occur at many scales of life, from cellular development (where they were first proposed) to pattern formation...
Possible mechanisms of pattern formation in biological systems include the classical reaction–diffusion model proposed by Alan Turing and the more recently...
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