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单词 algorithm
释义

Definition of algorithm in English:

algorithm

noun ˈalɡərɪð(ə)mˈælɡəˌrɪðəm
  • A process or set of rules to be followed in calculations or other problem-solving operations, especially by a computer.

    (尤指计算机)运算法则

    a basic algorithm for division

    除法基本法则。

    Example sentencesExamples
    • In fact there are many hybrid systems where asymmetric algorithms are used to distribute keys for symmetric algorithms.
    • Having established the nature of equilibria, Smale began to think algorithms for their computation.
    • Mathematicians can use similar algorithms to generate fractals and other forms.
    • Kleene's research was on the theory of algorithms and recursive functions.
    • The appropriate degree of adjustment may be helped by nomograms or computer algorithms.
    • Another arithmetical result presented by Brahmagupta is his algorithm for computing square roots.
    • The service relies on computer algorithms to select and summarise the stories generating the widest coverage.
    • The theory of algorithms and a variety of computational models were developed.
    • The following year he wrote on number theory, making a contribution to the theory of the Euclidean algorithm.
    • All the algorithms to carry out arithmetical operations are presented in this way and no proofs are given.
    • I love numbers and always as an amusement, and more seriously than that, invented new algorithms to calculate them.
    • Leibniz considered the possibility of algorithms which would apply to logical argument as well as mathematics.
    • Malcev also created a synthesis of the theory of algebras and of algorithms called constructive algebras.
    • The algorithm employs quite elementary arithmetic and is stated by the authors in just 13 lines.
    • An algorithm known as the simplex method can be used to find these optimal strategies, but it will not be pursued here.
    • He solved cubic equations by extending an algorithm for finding cube roots.
    • One of the first applications of the simplex algorithm was to the determination of an adequate diet that was of least cost.
    • Here there is no unfolding to a single planar component but the algorithm finds an unfolding with four planar components.
    • This first step is here reduced to a simple algorithm suitable for computer use.
    • He began to study mathematical logic and the theory of algorithms just before 1940.

Derivatives

  • algorithmic

  • adjective alɡəˈrɪðmɪkˌælɡəˈrɪðmɪk
    • Expressed as or using an algorithm or computational procedure.

      surge pricing is algorithmic and responds automatically to the large increase in demand
      Example sentencesExamples
      • This factor is the primary justification for replacing the standard algorithmic procedure with an alternative one.
      • The overall style of Gordan's mathematical work was algorithmic.
      • Joseph Culberson has a nice perspective on such theorems from an algorithmic point of view, and attempts to frame them in the context of complexity theory.
  • algorithmically

  • adverbalɡəˈrɪðmɪk(ə)liælɡəˈrɪðmɪk(ə)li
    • And if there can be no proper theory, then the bit string is called algorithmically random or irreducible.
      Example sentencesExamples
      • It is possible to formulate this process algorithmically using graphs and therefore to automate the method.
      • Because the computer can generate material algorithmically, it can respond to the user's choices in real-time.

Origin

Late 17th century (denoting the Arabic or decimal notation of numbers): variant (influenced by Greek arithmos 'number') of Middle English algorism, via Old French from medieval Latin algorismus. The Arabic source, al-Ḵwārizmī 'the man of Ḵwārizm' (now Khiva), was a name given to the 9th-century mathematician Abū Ja‘far Muhammad ibn Mūsa, author of widely translated works on algebra and arithmetic.

  • Algorithm initially meant the Arabic or decimal notation of numbers; it is a variant, influenced by Greek arithmos ‘number’, of Middle English algorism which came via Old French from medieval Latin algorismus. The Arabic source, al-kwārizmī ‘the man of Kwārizm’ (now Khiva), was an alternative name for the 9th-century mathematician Abū Ja'far Muhammad ibn Mūsa, author of widely translated works on algebra and arithmetic.

Definition of algorithm in US English:

algorithm

nounˈælɡəˌrɪðəmˈalɡəˌriT͟Həm
  • A process or set of rules to be followed in calculations or other problem-solving operations, especially by a computer.

    (尤指计算机)运算法则

    a basic algorithm for division

    除法基本法则。

    Example sentencesExamples
    • The theory of algorithms and a variety of computational models were developed.
    • The appropriate degree of adjustment may be helped by nomograms or computer algorithms.
    • In fact there are many hybrid systems where asymmetric algorithms are used to distribute keys for symmetric algorithms.
    • He solved cubic equations by extending an algorithm for finding cube roots.
    • Having established the nature of equilibria, Smale began to think algorithms for their computation.
    • The algorithm employs quite elementary arithmetic and is stated by the authors in just 13 lines.
    • Mathematicians can use similar algorithms to generate fractals and other forms.
    • Kleene's research was on the theory of algorithms and recursive functions.
    • Leibniz considered the possibility of algorithms which would apply to logical argument as well as mathematics.
    • He began to study mathematical logic and the theory of algorithms just before 1940.
    • Malcev also created a synthesis of the theory of algebras and of algorithms called constructive algebras.
    • One of the first applications of the simplex algorithm was to the determination of an adequate diet that was of least cost.
    • Here there is no unfolding to a single planar component but the algorithm finds an unfolding with four planar components.
    • This first step is here reduced to a simple algorithm suitable for computer use.
    • An algorithm known as the simplex method can be used to find these optimal strategies, but it will not be pursued here.
    • I love numbers and always as an amusement, and more seriously than that, invented new algorithms to calculate them.
    • Another arithmetical result presented by Brahmagupta is his algorithm for computing square roots.
    • The following year he wrote on number theory, making a contribution to the theory of the Euclidean algorithm.
    • The service relies on computer algorithms to select and summarise the stories generating the widest coverage.
    • All the algorithms to carry out arithmetical operations are presented in this way and no proofs are given.

Origin

Late 17th century (denoting the Arabic or decimal notation of numbers): variant (influenced by Greek arithmos ‘number’) of Middle English algorism, via Old French from medieval Latin algorismus. The Arabic source, al-Ḵwārizmī ‘the man of Ḵwārizm’ (now Khiva), was a name given to the 9th-century mathematician Abū Ja‘far Muhammad ibn Mūsa, author of widely translated works on algebra and arithmetic.

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更新时间:2024/9/21 11:23:59