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词汇 catenoid
释义

Definition of catenoid in English:

catenoid

noun ˈkatənɔɪdˈkatəˌnoid
Geometry
  • The surface generated by rotating a catenary about its horizontal axis.

    〔几何〕悬链曲面

    Example sentencesExamples
    • These catenoids are the first explicitly known discrete minimal surfaces besides the trivial plane.
    • Again, branched catenoids can exist only if an upper limit for the distance of neighbouring nets is not exceeded.
    • The bidenoid is a well-controlled modification of the catenoid by Hermann Karcher.
    • Soap bubbles and cell membranes are often catenoids, and molecules may knit together to form helicoid surfaces, emblems of stable energy states.
    • The catenoid is a minimal surface with ‘too much’ negative curvature.

Origin

Late 19th century: from Latin catena 'chain' + -oid.

Definition of catenoid in US English:

catenoid

nounˈkatəˌnoid
Geometry
  • The surface generated by rotating a catenary about its horizontal axis.

    〔几何〕悬链曲面

    Example sentencesExamples
    • These catenoids are the first explicitly known discrete minimal surfaces besides the trivial plane.
    • The bidenoid is a well-controlled modification of the catenoid by Hermann Karcher.
    • Soap bubbles and cell membranes are often catenoids, and molecules may knit together to form helicoid surfaces, emblems of stable energy states.
    • The catenoid is a minimal surface with ‘too much’ negative curvature.
    • Again, branched catenoids can exist only if an upper limit for the distance of neighbouring nets is not exceeded.

Origin

Late 19th century: from Latin catena ‘chain’ + -oid.

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