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词汇 ellipsoid
释义

Definition of ellipsoid in English:

ellipsoid

noun ɪˈlɪpsɔɪdəˈlɪpsɔɪd
  • A three-dimensional figure symmetrical about each of three perpendicular axes, whose plane sections normal to one axis are circles and all the other plane sections are ellipses.

    椭球

    Example sentencesExamples
    • The positions of drug atoms are denoted by small magenta spheres and the predicted binding sites by colored ellipsoids (red near hydrogen donor atoms and blue near hydrogen acceptor atoms on the bases).
    • Thus, each cluster is represented by an ellipsoid using the new axes as the ellipsoidal axes, and the variance along these axes (square-roots of the eigenvalues) as the axis lengths.
    • He gave a proof of a result due to Maclaurin, that the attractions at an external point lying on the principal axis of two confocal ellipsoids was proportional to their masses.
    • The shape of the red cell during the tank-tread motion resembles a triaxial ellipsoid with the longest axis almost parallel to the direction of the undisturbed flow.
    • Its shape resembles that of a prolate ellipsoid.
    • The Flinn diagram in Figure 10 shows the relative shapes of the strain ellipsoids.
    • Simple geometrical arrangements such as an ellipsoid or a cylinder are often used to gauge the shape of particles such as micelles and proteins.
    • In this case, the toroidal surface has become an off-axis segment of an ellipsoid.
    • The corresponding axial ratios were 1.14 for a prolate ellipsoid and 1.16 for an oblate ellipsoid.
    • On the planetary scale the geoid is approximated by an ellipsoid of revolution about its minor axis with a degree of flattening of around 1 part in 300 caused primarily by the Earth's rotation.
    • Figure 4 shows the first Fresnel zone is an ellipsoid surrounding the straight line between the two antennas.
    • The crown projection area and crown volume of each individual were approximated as an ellipse and an ellipsoid of revolution, respectively.
    • Nucleosome core particles are represented by oblate ellipsoids; their interaction potential has been parameterized by a comparison with data from liquid crystals of nucleosome solutions.
    • Its component boulders, however, have been stretched into an ellipsoid with its longest axis pointing at Jupiter.
    • The centromere is represented as a solid ellipsoid.
    • Years ago, such calculation was only possible for simple, symmetric shapes such as revolution ellipsoids or cylinders.
    • He produced the first rigorously exact theory of homogeneous figures shaped like ellipsoids of revolution whose parts attract according to the inverse-square law.
    • It was found that the maximum total force is experienced when the major axis of the ellipsoid is perpendicular to the flow and the minimum when it is aligned.
    • The strain ellipsoid is oblate, showing the Z axis to be perpendicular to the cleavage.
    • Why is random packing denser for ellipsoids than for spheres?

Derivatives

  • ellipsoidal

  • adjective ɛlɪpˈsɔɪd(ə)lˌɛləpˈsɔɪdl
    • The particles may have any shape or size, but they are generally spherical, ellipsoidal, polyhedral, or irregular in shape.
      Example sentencesExamples
      • Inspired by Maxwell and his mathematics, Niven turned increasingly towards the study of spherical and ellipsoidal harmonics.
      • The oil-bearing fluid inclusion morphologies include spherical, oval, ellipsoidal, lath-like and irregular shapes, although there is no obvious relationship between inclusion morphology and quartz cement history.
      • It forms a ‘ball or shell’, as you say, of ejected material but the shape is ellipsoidal, not spherical as you might expect.
      • A primary concave parabolic mirror converges the light to one focus of a concave ellipsoidal mirror.

Definition of ellipsoid in US English:

ellipsoid

nounəˈlipsoidəˈlɪpsɔɪd
  • A three-dimensional figure whose plane sections are ellipses or circles.

    Example sentencesExamples
    • Simple geometrical arrangements such as an ellipsoid or a cylinder are often used to gauge the shape of particles such as micelles and proteins.
    • On the planetary scale the geoid is approximated by an ellipsoid of revolution about its minor axis with a degree of flattening of around 1 part in 300 caused primarily by the Earth's rotation.
    • Nucleosome core particles are represented by oblate ellipsoids; their interaction potential has been parameterized by a comparison with data from liquid crystals of nucleosome solutions.
    • Its component boulders, however, have been stretched into an ellipsoid with its longest axis pointing at Jupiter.
    • He produced the first rigorously exact theory of homogeneous figures shaped like ellipsoids of revolution whose parts attract according to the inverse-square law.
    • Its shape resembles that of a prolate ellipsoid.
    • The crown projection area and crown volume of each individual were approximated as an ellipse and an ellipsoid of revolution, respectively.
    • Years ago, such calculation was only possible for simple, symmetric shapes such as revolution ellipsoids or cylinders.
    • The centromere is represented as a solid ellipsoid.
    • Thus, each cluster is represented by an ellipsoid using the new axes as the ellipsoidal axes, and the variance along these axes (square-roots of the eigenvalues) as the axis lengths.
    • Figure 4 shows the first Fresnel zone is an ellipsoid surrounding the straight line between the two antennas.
    • The positions of drug atoms are denoted by small magenta spheres and the predicted binding sites by colored ellipsoids (red near hydrogen donor atoms and blue near hydrogen acceptor atoms on the bases).
    • The Flinn diagram in Figure 10 shows the relative shapes of the strain ellipsoids.
    • He gave a proof of a result due to Maclaurin, that the attractions at an external point lying on the principal axis of two confocal ellipsoids was proportional to their masses.
    • The corresponding axial ratios were 1.14 for a prolate ellipsoid and 1.16 for an oblate ellipsoid.
    • The shape of the red cell during the tank-tread motion resembles a triaxial ellipsoid with the longest axis almost parallel to the direction of the undisturbed flow.
    • Why is random packing denser for ellipsoids than for spheres?
    • It was found that the maximum total force is experienced when the major axis of the ellipsoid is perpendicular to the flow and the minimum when it is aligned.
    • The strain ellipsoid is oblate, showing the Z axis to be perpendicular to the cleavage.
    • In this case, the toroidal surface has become an off-axis segment of an ellipsoid.
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