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AUTOMATIC SEMIGROUP

  • Automatic semigroup
  • Mathematical structure

    In mathematics, an automatic semigroup is a finitely generated semigroup equipped with several regular languages over an alphabet representing a generating

    Automatic semigroup

    Automatic_semigroup

  • Automatic group
  • groups to other structures. For instance, it generalizes naturally to automatic semigroups. Epstein, David B. A.; Cannon, James W.; Holt, Derek F.; Levy, Silvio

    Automatic group

    Automatic_group

  • Regular semigroup
  • In mathematics, a regular semigroup is a semigroup S in which every element is regular, i.e., for each element a in S there exists an element x in S such

    Regular semigroup

    Regular_semigroup

  • Special classes of semigroups
  • Families of certain algebraic structures

    mathematics, a semigroup is a nonempty set together with an associative binary operation. A special class of semigroups is a class of semigroups satisfying

    Special classes of semigroups

    Special_classes_of_semigroups

  • Quantum Markov semigroup
  • Mathematical structure that describes the dynamics in a Markovian open quantum system

    Markov semigroup describes the dynamics in a Markovian open quantum system. The axiomatic definition of the prototype of quantum Markov semigroups was first

    Quantum Markov semigroup

    Quantum_Markov_semigroup

  • Free monoid
  • Concept in mathematics

    and semigroups. It follows that every monoid (or semigroup) arises as a homomorphic image of a free monoid (or semigroup). The study of semigroups as images

    Free monoid

    Free_monoid

  • Dirac delta function
  • Generalized function whose value is zero everywhere except at zero

    easy to see that this generates a semigroup in some sense—it is not absolutely integrable and so cannot define a semigroup in the above strong sense. Many

    Dirac delta function

    Dirac delta function

    Dirac_delta_function

  • Paratopological group
  • paratopological groups are automatically topological groups. Artur Hideyuki Tomita. On sequentially compact both-sides cancellative semigroups with sequentially

    Paratopological group

    Paratopological_group

  • Semi-Thue system
  • String rewriting system

    introduced this notion hoping to solve the word problem for finitely presented semigroups. Only in 1947 was the problem shown to be undecidable— this result was

    Semi-Thue system

    Semi-Thue_system

  • Morphic word
  • Mathematics term

    constructed from a particular class of endomorphism of a free monoid. Every automatic sequence is morphic. Let f be an endomorphism of the free monoid A∗ on

    Morphic word

    Morphic_word

  • Automata theory
  • Study of abstract machines and automata

    automata transformations or as semigroup homomorphisms, when the state space, S, of the automaton is defined as a semigroup Sg. Monoids are also considered

    Automata theory

    Automata theory

    Automata_theory

  • H-infinity methods in control theory
  • Automatic Control. 26 (2): 301–320. doi:10.1109/tac.1981.1102603. Helton, J. William (1978). "Orbit structure of the Mobius transformation semigroup action

    H-infinity methods in control theory

    H-infinity_methods_in_control_theory

  • Rational monoid
  • Richard M. (2002). "Some relatives of automatic and hyperbolic groups". In Gomes, Gracinda M. S. (ed.). Semigroups, algorithms, automata and languages.

    Rational monoid

    Rational_monoid

  • Near-ring
  • Algebraic structure in mathematics

    necessarily abelian) under addition; multiplication is associative (so N is a semigroup under multiplication); and multiplication on the right distributes over

    Near-ring

    Near-ring

  • Anton Sushkevich
  • Russian mathematician (1889 to 1961)

    mathematician and textbook author who expanded group theory to include semigroups and other magmas. Sushkevich attended secondary school in Voronezh and

    Anton Sushkevich

    Anton_Sushkevich

  • Adian–Rabin theorem
  • Undecidability theorem in group theory

    a similar earlier result for semigroups by Andrey Markov, Jr., proved by analogous methods. It was also in the semigroup context that Markov introduced

    Adian–Rabin theorem

    Adian–Rabin_theorem

  • Locally compact space
  • Type of topological space in mathematics

    on 2015-09-10. Lawson, J.; Madison, B. (1974). "Quotients of k-semigroups". Semigroup Forum. 9: 1–18. doi:10.1007/BF02194829., p. 3 Breuckmann, Tomas;

    Locally compact space

    Locally_compact_space

  • Laurent Saloff-Coste
  • French mathematician (born 1958)

    Cambridge University Press 1992 with Dominique Bakry, Michel Ledoux Markov Semigroups at Saint Flour, Series Probability at Saint Flour, Springer Verlag 2012

    Laurent Saloff-Coste

    Laurent Saloff-Coste

    Laurent_Saloff-Coste

  • Cobham's theorem
  • Theorem in combinatorics on words

    theorem and some of its extensions". Dynamical Aspects of Automata and Semigroup Theories. Satellite Workshop of Highlights of AutoMathA. Retrieved 19

    Cobham's theorem

    Cobham's_theorem

  • Recurrent word
  • Berthé & Rigo (2010) p.177 Allouche, Jean-Paul; Shallit, Jeffrey (2003). Automatic Sequences: Theory, Applications, Generalizations. Cambridge University

    Recurrent word

    Recurrent_word

  • Unavoidable pattern
  • ∈ Δ ∗ {\displaystyle p\in \Delta ^{*}} if there exists a non-erasing semigroup morphism f : Δ ∗ → Σ ∗ {\displaystyle f:\Delta ^{*}\rightarrow \Sigma

    Unavoidable pattern

    Unavoidable_pattern

  • Hans Rådström
  • Swedish mathematician

    embedding was isotone. Rådström characterized the generators of continuous semigroups of sets as compact convex sets. Rådström's Ph.D. students included Per

    Hans Rådström

    Hans_Rådström

  • Kalyan Bidhan Sinha
  • Indian mathematician

    Kalyan B. Hilbert modules and stochastic dilation of a quantum dynamical semigroup on a von Neumann algebra. Comm. Math. Phys. 205 (1999), no. 2, 377–403

    Kalyan Bidhan Sinha

    Kalyan Bidhan Sinha

    Kalyan_Bidhan_Sinha

  • Quasigroup
  • Magma obeying the Latin square property

    multiplicative inverse Semigroup – an algebraic structure consisting of a set together with an associative binary operation Monoid – a semigroup with an identity

    Quasigroup

    Quasigroup

    Quasigroup

  • Bialgebra
  • Vector space in mathematics

    B (which is always possible if B is finite-dimensional), then it is automatically a bialgebra. (B, ∇, η, Δ, ε) is a bialgebra over K if it has the following

    Bialgebra

    Bialgebra

  • Amenable group
  • Locally compact topological group with an invariant averaging operation

    Helv. 56: 581–598. doi:10.1007/bf02566228. Day, M. M. (1949). "Means on semigroups and groups". Bulletin of the American Mathematical Society. 55 (11): 1054–1055

    Amenable group

    Amenable_group

  • Domain (ring theory)
  • Ring without nonzero zero divisors

    domain if and only if n {\displaystyle n} is prime. A finite domain is automatically a finite field, by Wedderburn's little theorem. The quaternions form

    Domain (ring theory)

    Domain_(ring_theory)

  • Sequence
  • Finite or infinite ordered list of elements

    more elements of A, with the binary operation of concatenation. The free semigroup A+ is the subsemigroup of A* containing all elements except the empty

    Sequence

    Sequence

    Sequence

  • Vector space
  • Algebraic structure in linear algebra

    field F is large enough to contain a zero of this polynomial (which automatically happens for F algebraically closed, such as F = C) any linear map has

    Vector space

    Vector space

    Vector_space

  • Stiff equation
  • Differential equation exhibiting high rate of dissipation

    }^{tA}\|_{2}} is extremely small. In other words, the flow is nearly a semigroup, and e t A {\displaystyle {\mathrm {e} }^{tA}} is "close to singular"

    Stiff equation

    Stiff_equation

  • Adjoint functors
  • Relationship between two functors abstracting many common constructions

    ring to the underlying rng. Adjoining an identity to a semigroup. Similarly, given a semigroup S, we can add an identity element and obtain a monoid by

    Adjoint functors

    Adjoint_functors

  • Relation algebra
  • Type of residuated Boolean algebra with extra structure

    ISBN 9780444520135. Schein, Boris M. (1970) "Relation algebras and function semigroups", Semigroup Forum 1: 1–62 Schmidt, Gunther (2010). Relational Mathematics. Cambridge

    Relation algebra

    Relation_algebra

  • Particle filter
  • Type of Monte Carlo algorithms for signal processing and statistical inference

    Lyapunov exponents connected to Schrödinger operators and Feynman-Kac semigroups". ESAIM Probability & Statistics. 7: 171–208. doi:10.1051/ps:2003001.

    Particle filter

    Particle_filter

  • Presburger arithmetic
  • Decidable first-order theory of the natural numbers with addition

    Retrieved 11 June 2006. Ginsburg, Seymour; Spanier, Edwin Henry (1966). "Semigroups, Presburger Formulas, and Languages" (PDF). Pacific Journal of Mathematics

    Presburger arithmetic

    Presburger_arithmetic

  • List of women in mathematics
  • Committee for Aeronautics Anne Lester Hudson, American expert in topological semigroups, mathematics educator, and mathematics competition coach Hilda Phoebe

    List of women in mathematics

    List_of_women_in_mathematics

  • Viterbi semiring
  • Semiring defined over probabilities

    structure prediction, whenever a best hypothesis needs to be identified. Automatic speech recognition (ASR) heavily relies on the Viterbi semiring in decoding

    Viterbi semiring

    Viterbi_semiring

  • Quasi-isometry
  • Function between two metric spaces that only respects their large-scale geometry

    the word is in his abstract for an AMS summer meeting in 1949, Means on semigroups and groups, Bull. A.M.S. 55 (1949) 1054–1055. Many text books on amenability

    Quasi-isometry

    Quasi-isometry

    Quasi-isometry

  • Word problem for groups
  • Problem in finite group theory

    Carl-Fredrik (2021), "The word problem for one-relation monoids: a survey", Semigroup Forum, 103 (2): 297–355, arXiv:2105.02853, doi:10.1007/s00233-021-10216-8

    Word problem for groups

    Word_problem_for_groups

  • Exponentiation
  • Arithmetic operation

    continuous exponents. This is the starting point of the mathematical theory of semigroups. Just as computing matrix powers with discrete exponents solves discrete

    Exponentiation

    Exponentiation

    Exponentiation

  • R. L. Hudson
  • British mathematician

    (1984). "Stochastic dilations of uniformly continuous completely positive semigroups". Acta Applicandae Mathematicae. 2 (3–4): 353–378. doi:10.1007/BF02280859

    R. L. Hudson

    R. L. Hudson

    R._L._Hudson

  • Complexity
  • Feature of systems that defy description

    Krohn–Rhodes complexity is an important topic in the study of finite semigroups and automata. In network theory, complexity is the product of richness

    Complexity

    Complexity

  • List of Vanderbilt University people
  • Sapir – Russian-American mathematician working in geometric group theory, semigroup theory and combinatorial algebra, Centennial Professor of Mathematics

    List of Vanderbilt University people

    List_of_Vanderbilt_University_people

  • Associative algebra
  • Ring that is also a vector space or a module

    algebras Let A be an R-algebra. Any ring-theoretic ideal I in A is automatically an R-module since r · x = (r1A)x. This gives the quotient ring A / I

    Associative algebra

    Associative_algebra

  • Unification (computer science)
  • Algorithmic process of solving equations

    has each substitution of the form { x ↦ a⋅...⋅a } as a solution in a semigroup, i.e. if (⋅) is considered associative. But the same problem, viewed in

    Unification (computer science)

    Unification_(computer_science)

  • Iterated function
  • Result of repeatedly applying a mathematical function

    the full orbit: the monoid of the Picard sequence (cf. transformation semigroup) has generalized to a full continuous group. This method (perturbative

    Iterated function

    Iterated function

    Iterated_function

  • Rational set
  • Richard M. (2002). "Some relatives of automatic and hyperbolic groups". In Gomes, Gracinda M. S. (ed.). Semigroups, algorithms, automata and languages.

    Rational set

    Rational_set

  • Mean-field particle methods
  • Probabilistic problem-solving algorithms

    Moral, Pierre; Miclo, Laurent (2002). "On the Stability of Non Linear Semigroup of Feynman-Kac Type" (PDF). Annales de la Faculté des Sciences de Toulouse

    Mean-field particle methods

    Mean-field_particle_methods

  • History of group theory
  • History of a branch of mathematics

    the 1930s, but in the 1940s he proved important embedding properties of semigroups into groups, studied the isomorphism problem of group rings, established

    History of group theory

    History_of_group_theory

  • Commutative ring
  • Algebraic structure

    more complicated. For example, all ideals in a commutative ring are automatically two-sided, which simplifies the situation considerably. For a ring R

    Commutative ring

    Commutative_ring

  • Set function
  • Function from sets to numbers

    of sets is modular. In geometry, a set function valued in some abelian semigroup that possess this property is known as a valuation. This geometric definition

    Set function

    Set_function

  • Gabriel Pareyon
  • Musical artist

    dissertations, mainly in the fields of representation of temporal groups and semigroups, machine learning and human-machine hybrid composition, non-linear cognitive

    Gabriel Pareyon

    Gabriel Pareyon

    Gabriel_Pareyon

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Online names & meanings

  • Jerusha
  • Girl/Female

    Bengali, Christian, Hebrew, Hindu, Indian, Marathi, Sindhi, Tamil

    Jerusha

    Married; Possession; Possessed by a Husband

  • Sarvadev
  • Boy/Male

    Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu

    Sarvadev

    Lord Shiva

  • Shazmin |
  • Girl/Female

    Muslim

    Shazmin |

    White stone

  • Ravi Kanth | ரவி காந்த
  • Boy/Male

    Tamil

    Ravi Kanth | ரவி காந்த

    Lord Surya (Sun), Fire

  • Jemila
  • Girl/Female

    Indian

    Jemila

    Beautiful, Elegant

  • Debasma
  • Girl/Female

    Bengali, Indian

    Debasma

    Breathing of God

  • Lorene
  • Girl/Female

    English American

    Lorene

    or Lora referring to the laurel tree or sweet bay tree symbolic of honor and victory.

  • Boman
  • Surname or Lastname

    Swedish

    Boman

    Swedish : generally an ornamental name composed of the elements bo ‘dwelling’, ‘farm’ + man ‘man’, occasionally applied as a topographic name for someone who lived on an outlying homestead.English : variant spelling of Bowman.

  • Grhini
  • Boy/Male

    Indian

    Grhini

    House Wife

  • Vidura | விதுர
  • Boy/Male

    Tamil

    Vidura | விதுர

    (Son of Vyasa and a palace maidservant; Brother to Dhritarstra and Pandu; counsel to the King of Hatinapur. Vidura was said to be an expansion of Yamaraja, the lord of justice.)

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Other words and meanings similar to

AUTOMATIC SEMIGROUP

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AUTOMATIC SEMIGROUP

  • Automaton
  • v. i.

    Any thing or being regarded as having the power of spontaneous motion or action.

  • Automatism
  • n.

    The state or quality of being automatic; the power of self-moving; automatic, mechanical, or involuntary action. (Metaph.) A theory as to the activity of matter.

  • Stomatic
  • n.

    A medicine for diseases of the mouth.

  • Automatous
  • a.

    Automatic.

  • Stomatic
  • a.

    Of or pertaining to a stoma; of the nature of a stoma.

  • Automatical
  • a.

    Pertaining to, or produced by, an automaton; of the nature of an automaton; self-acting or self-regulating under fixed conditions; -- esp. applied to machinery or devices in which certain things formerly or usually done by hand are done by the machine or device itself; as, the automatic feed of a lathe; automatic gas lighting; an automatic engine or switch; an automatic mouse.

  • Automatic
  • a.

    Alt. of Automatical

  • Promethean
  • n.

    An apparatus for automatic ignition.

  • Aromatous
  • a.

    Aromatic.

  • Automaton
  • v. i.

    A self-moving machine, or one which has its motive power within itself; -- applied chiefly to machines which appear to imitate spontaneously the motions of living beings, such as men, birds, etc.

  • Asthmatic
  • n.

    A person affected with asthma.

  • Autoptic
  • a.

    Alt. of Autoptical

  • Automata
  • pl.

    of Automaton

  • Autocratic
  • a.

    Alt. of Autocratical

  • Automatically
  • adv.

    In an automatic manner.

  • Asthmatic
  • a.

    Alt. of Asthmatical

  • Axiomatic
  • a.

    Alt. of Axiomatical

  • Automatons
  • pl.

    of Automaton

  • Automatical
  • a.

    Having an inherent power of action or motion.

  • Automatical
  • a.

    Not voluntary; not depending on the will; mechanical; as, automatic movements or functions.