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单词 partial differential equation
释义

Definition of partial differential equation in English:

partial differential equation

noun
Mathematics
  • An equation containing one or more partial derivatives.

    Example sentencesExamples
    • He generalised Monge's idea of the characteristic of a partial differential equation from 2nd order equations to nth order equations.
    • In 1904 he extended Whittaker's solution of the potential and wave equation by definite integrals to more general partial differential equations.
    • In the 1815 paper, which Pfaff submitted to the Berlin Academy on 11 May, he presented a transformation of a first-order partial differential equation into a differential system.
    • During this period he undertook research in several different areas of mathematics including algebraic equations, solving partial differential equations, and on negative numbers.
    • During the years 1892 to 1894 Volterra published papers on partial differential equations, particularly the equation of cylindrical waves.
 
 

Definition of partial differential equation in US English:

partial differential equation

noun
Mathematics
  • An equation containing one or more partial derivatives.

    Example sentencesExamples
    • In 1904 he extended Whittaker's solution of the potential and wave equation by definite integrals to more general partial differential equations.
    • In the 1815 paper, which Pfaff submitted to the Berlin Academy on 11 May, he presented a transformation of a first-order partial differential equation into a differential system.
    • He generalised Monge's idea of the characteristic of a partial differential equation from 2nd order equations to nth order equations.
    • During the years 1892 to 1894 Volterra published papers on partial differential equations, particularly the equation of cylindrical waves.
    • During this period he undertook research in several different areas of mathematics including algebraic equations, solving partial differential equations, and on negative numbers.
 
 
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更新时间:2025/2/6 11:41:17