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单词 conformal
释义

Definition of conformal in English:

conformal

adjectivekənˈfɔːm(ə)lkənˈfɔrməl
  • (of a map or a mathematical mapping) preserving the correct angles between directions within small areas (though distorting distances).

    (地图,数学映象)保角的,保形的

    Example sentencesExamples
    • He also worked on conformal mappings and potential theory, and he was led to study boundary value problems for partial differential equations and the theory of various functionals connected with them.
    • His doctoral thesis is an important contribution to conformal mappings of multiply connected plane domains.
    • He is also known for applications of the kernel function to conformal mappings.
    • He worked on geodesy but became interested in conformal map projections where he invented a quincuncial map projection using elliptic functions.
    • He also obtained important results on conformal mappings showing that angles were preserved on the boundary almost everywhere.

Derivatives

  • conformally

  • adverb
    • Although he had given a proof of the theorem that any simply connected region of the plane can be mapped conformally onto a disc, his proof involved using the Dirichlet problem.
      Example sentencesExamples
      • Finally, a conductor probe tip layer is formed conformally upon the high density plasma chemical vapor deposition (HDP-CVD) deposited mandrel layer and replicating the series of pointed tips.
      • Once the container has been formed within a thick insulating layer, a conductive layer is conformally deposited over the container interior surfaces.
      • He also studied polynomials, now named after him, which approximate a function that conformally maps a given simply-connected domain onto a disc.
      • Surprisingly, classical string theory dynamics is described by a conformally invariant 2D quantum field theory.

Origin

Mid 17th century (in the sense 'conformable'): from late Latin conformalis, from con- 'together' + formalis 'formal'. The current sense was coined in German.

Rhymes

abnormal, formal, normal, paranormal, subnormal

Definition of conformal in US English:

conformal

adjectivekənˈfôrməlkənˈfɔrməl
  • (of a map projection or a mathematical mapping) preserving the correct angles between directions within small areas, though distorting distances.

    (地图,数学映象)保角的,保形的

    Also called orthomorphic
    Example sentencesExamples
    • He worked on geodesy but became interested in conformal map projections where he invented a quincuncial map projection using elliptic functions.
    • He is also known for applications of the kernel function to conformal mappings.
    • He also worked on conformal mappings and potential theory, and he was led to study boundary value problems for partial differential equations and the theory of various functionals connected with them.
    • He also obtained important results on conformal mappings showing that angles were preserved on the boundary almost everywhere.
    • His doctoral thesis is an important contribution to conformal mappings of multiply connected plane domains.

Origin

Mid 17th century (in the sense ‘conformable’): from late Latin conformalis, from con- ‘together’ + formalis ‘formal’. The current sense was coined in German.

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更新时间:2024/9/19 10:14:46