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PLACTIC MONOID

  • Plactic monoid
  • Monoid of all words in the alphabet of positive integers modulo Knuth equivalence

    In mathematics, the plactic monoid is the monoid of all words in the alphabet of positive integers modulo Knuth equivalence. Its elements can be identified

    Plactic monoid

    Plactic_monoid

  • Monoid
  • Algebraic structure with an associative operation and an identity element

    bicyclic monoid, and ⟨ a , b | a b a = b a a , b b a = b a b ⟩ {\displaystyle \langle a,b\,\vert \;aba=baa,bba=bab\rangle } is the plactic monoid of degree

    Monoid

    Monoid

    Monoid

  • Chinese monoid
  • q_{s}=0} . Plactic monoid Cassaigne, Julien; Espie, Marc; Krob, Daniel; Novelli, Jean-Christophe; Hivert, Florent (2001), "The Chinese monoid", International

    Chinese monoid

    Chinese_monoid

  • Presentation of a monoid
  • bicyclic monoid, and ⟨ a , b | a b a = b a a , b b a = b a b ⟩ {\displaystyle \langle a,b\,\vert \;aba=baa,bba=bab\rangle } is the plactic monoid of degree

    Presentation of a monoid

    Presentation_of_a_monoid

  • Donald Knuth
  • American computer scientist and mathematician (born 1938)

    Fisher–Yates shuffle Robinson–Schensted–Knuth correspondence Man or boy test Plactic monoid Quater-imaginary base Triangular number The Complexity of Songs Uniform

    Donald Knuth

    Donald Knuth

    Donald_Knuth

  • Marcel-Paul Schützenberger
  • French mathematician (1920–1996)

    Schützenberger is credited with the foundation of the notion of the plactic monoid, reflected in the name of the combinatorial structure called by some

    Marcel-Paul Schützenberger

    Marcel-Paul Schützenberger

    Marcel-Paul_Schützenberger

  • Longest increasing subsequence
  • Computer science problem

    technique for finding the length of the longest increasing subsequence Plactic monoid − an algebraic system defined by transformations that preserve the length

    Longest increasing subsequence

    Longest_increasing_subsequence

  • Robinson–Schensted correspondence
  • Bijective correspondence in mathematics

    which provides a diagrammatic interpretation of the correspondence. Plactic monoid: the insertion process can be used to define an associative product

    Robinson–Schensted correspondence

    Robinson–Schensted_correspondence

  • Young tableau
  • Combinatorial object in representation theory

    all semistandard Young tableaux, giving it the structure called the plactic monoid (French: le monoïde plaxique). In representation theory, standard Young

    Young tableau

    Young_tableau

  • Alain Lascoux
  • French mathematician

    and Grothendieck polynomials, as well as novel terminology like the plactic monoid and vexillary permutations. They were also the first to define the crystal

    Alain Lascoux

    Alain_Lascoux

  • Symmetric group
  • Type of group in abstract algebra

    representations provide a rich source of problems involving Young tableaux, plactic monoids, and the Bruhat order. Subgroups of symmetric groups are called permutation

    Symmetric group

    Symmetric group

    Symmetric_group

  • Viennot's geometric construction
  • Mathematics concept

    {\displaystyle y=x} -axis, and this precisely switches the roles of P and Q. Plactic monoid Jeu de taquin Bruce E. Sagan. The Symmetric Group. Springer, 2001.

    Viennot's geometric construction

    Viennot's_geometric_construction

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Online names & meanings

  • Gizella
  • Girl/Female

    German

    Gizella

    Pledge; Hostage

  • Aashakiran
  • Girl/Female

    Indian

    Aashakiran

    Ray of hope

  • Akshun | அக்ஷுண
  • Boy/Male

    Tamil

    Akshun | அக்ஷுண

    A significant particle

  • Deborah
  • Girl/Female

    Christian & English(British/American/Australian)

    Deborah

    The Bee

  • Devasisa
  • Boy/Male

    Indian, Sanskrit

    Devasisa

    Blessing of the Gods

  • Gamaliel
  • Biblical

    Gamaliel

    recompense of God; camel of God

  • Prabal
  • Boy/Male

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

    Prabal

    Strong; Coral

  • Aruna
  • Girl/Female

    Hindi

    Aruna

    Radiant.

  • Cadie
  • Girl/Female

    English Irish

    Cadie

    meaning a rhythmic flow of sounds.

  • PÁLA
  • Female

    Icelandic

    PÁLA

    Feminine form of Icelandic Páll, PÁLA means "small."

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PLACTIC MONOID

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PLACTIC MONOID

  • Practice
  • v. i.

    To perform certain acts frequently or customarily, either for instruction, profit, or amusement; as, to practice with the broadsword or with the rifle; to practice on the piano.

  • Placoid
  • n.

    Any fish having placoid scales, as the sharks.

  • Clastic
  • a.

    Pertaining to what may be taken apart; as, clastic anatomy (of models).

  • Practice
  • n.

    Frequently repeated or customary action; habitual performance; a succession of acts of a similar kind; usage; habit; custom; as, the practice of rising early; the practice of making regular entries of accounts; the practice of daily exercise.

  • Lactic
  • a.

    Of or pertaining to milk; procured from sour milk or whey; as, lactic acid; lactic fermentation, etc.

  • Aplastic
  • a.

    Not plastic or easily molded.

  • Galactic
  • a.

    Of or pertaining to milk; got from milk; as, galactic acid.

  • Practice
  • n.

    Systematic exercise for instruction or discipline; as, the troops are called out for practice; she neglected practice in music.

  • Practice
  • v. t.

    To exercise one's self in, for instruction or improvement, or to acquire discipline or dexterity; as, to practice gunnery; to practice music.

  • plastic
  • n.

    a substance composed predominantly of a synthetic organic high polymer capable of being cast or molded; many varieties of plastic are used to produce articles of commerce (after 1900). [MW10 gives origin of word as 1905]

  • Elastic
  • a.

    Able to return quickly to a former state or condition, after being depressed or overtaxed; having power to recover easily from shocks and trials; as, elastic spirits; an elastic constitution.

  • Practice
  • n.

    Application of science to the wants of men; the exercise of any profession; professional business; as, the practice of medicine or law; a large or lucrative practice.

  • Practice
  • v. t.

    To do or perform frequently, customarily, or habitually; to make a practice of; as, to practice gaming.

  • Practick
  • n.

    Practice.

  • Clastic
  • a.

    Fragmental; made up of brok/ fragments; as, sandstone is a clastic rock.

  • Elastic
  • a.

    Springing back; having a power or inherent property of returning to the form from which a substance is bent, drawn, pressed, or twisted; springy; having the power of rebounding; as, a bow is elastic; the air is elastic; India rubber is elastic.

  • Practice
  • v. t.

    To teach or accustom by practice; to train.

  • Plastic
  • a.

    Capable of being molded, formed, or modeled, as clay or plaster; -- used also figuratively; as, the plastic mind of a child.

  • Practice
  • v. i.

    To learn by practice; to form a habit.

  • Plastic
  • a.

    Having the power to give form or fashion to a mass of matter; as, the plastic hand of the Creator.