that exhibit periodicity. Any function that is not periodic is called aperiodic. A function f is said to be periodic if, for some nonzero constant P,...

An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches. A set...

function. Aperiodic may also refer to: Aperiodic finite state automaton Aperiodic frequency Aperiodic graph Aperiodic semigroup Aperiodic set of prototiles...

In mathematics, an aperiodic semigroup is a semigroup S such that every element is aperiodic, that is, for each x in S there exists a positive integer...

Aperiodic crystals lack three-dimensional translational symmetry but still exhibit three-dimensional long-range order. In other words, they are periodic...

asks about the existence of a single prototile that by itself forms an aperiodic set of prototiles; that is, a shape that can tessellate space but only...

recording can show in which of these general regions the recording was made. Aperiodic frequency is the rate of incidence or occurrence of non-cyclic phenomena...

called "non-periodic". An aperiodic tiling uses a small set of tile shapes that cannot form a repeating pattern (an aperiodic set of prototiles). A tessellation...

shows sharp peaks with other symmetry orders—for instance, five-fold. Aperiodic tilings were discovered by mathematicians in the early 1960s, and, some...

said to be aperiodic if there is no integer k > 1 that divides the length of every cycle of the graph. Equivalently, a graph is aperiodic if the greatest...

then this set of tiles is called aperiodic. The tilings obtained from an aperiodic set of tiles are often called aperiodic tilings, though strictly speaking...

example of an aperiodic tiling. Here, a tiling is a covering of the plane by non-overlapping polygons or other shapes, and a tiling is aperiodic if it does...

similar technique has been used in aftermarket car audio; it is called aperiodic membrane (AP). A resistive mat is placed in front of or directly behind...

A set of prototiles is aperiodic if copies of the prototiles can be assembled to create tilings, such that all possible tessellation patterns are non-periodic...

Bridlington, England, who is best known for his discoveries related to aperiodic monotiles that helped to solve the einstein problem. Smith discovered...

prototile. A set of prototiles is said to be aperiodic if every tiling with those prototiles is an aperiodic tiling. In March 2023, four researchers, Chaim...

found. For example, a set of 13 aperiodic tiles was published by Karel Culik II in 1996. The smallest set of aperiodic tiles was discovered by Emmanuel...

{n}{d}}{\bigr )}.} Each aperiodic necklace contains a single Lyndon word so that Lyndon words form representatives of aperiodic necklaces. Lyndon word...

a human heart might be said to beat at 1.2 Hz. The occurrence rate of aperiodic or stochastic events is expressed in reciprocal second or inverse second...

aperiodic: Fourier series Discrete/aperiodic–continuous/periodic: discrete-time Fourier transform Continuous/aperiodic–continuous/aperiodic: Fourier...

An aperiodic finite-state automaton (also called a counter-free automaton) is a finite-state automaton whose transition monoid is aperiodic. A regular...

David Smith is a solution to the einstein problem, a single shape which aperiodically tiles the plane but cannot do so periodically. Kaplan received BMath...

frequency becquerel (Bq) – the SI unit for the rate of occurrence of aperiodic or stochastic radionuclide events baud (Bd) – the unit for symbol rate...

Oppenheimer, J.R. (January 1, 1928). "Three Notes on the Quantum Theory of Aperiodic Effects". Physical Review. 31 (1): 66–81. Bibcode:1928PhRv...31...66O...

an irrational number such as the golden ratio, its cross-sections form aperiodic sequences with a similar recursive structure to the Fibonacci word. Generalizations...

the same period. In particular, if one state is aperiodic, then the whole Markov chain is aperiodic. If a finite Markov chain is irreducible, then all...

array factor's periodicity, the same array's geometry must also be made aperiodic. It is possible to act on the positions of the radiators so that these...

is an American mathematician who works in convex geometry, especially aperiodic tiling. He retired from the faculty of the University of Arkansas and...

Kakutani–Rokhlin lemma is an important result in ergodic theory. It states that an aperiodic measure preserving dynamical system can be decomposed to an arbitrary...

"MacTutor History of Mathematics website creators honoured by LMS", The Aperiodical, archived from the original on 2015-07-20, retrieved 2015-07-19. "Chronological...