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Frustum vs Undefined - What's the difference?

frustum | undefined |

As a noun frustum

is a cone or pyramid whose tip has been truncated by a plane parallel to its base.

As an adjective undefined is

lacking a definition or value.

frustum

English

(wikipedia frustum) (Spherical segment)

Noun

(en-noun)
  • A cone or pyramid whose tip has been truncated by a plane parallel to its base.
  • * 1742 , Colin MacLaurin, A Treatise of Fluxions , Volume 1, page 25,
    • In a parabolic conoid this difference vani?hes, the fru?tum' being always equal to a cylinder of the ?ame height upon the ?ection of the conoid that bi?ects the altitude of the ' fru?tum and is parallel to its ba?es.
  • * 1809', '''''Frustum'' , entry in William Nicholson, ''The British Encyclopedia , Volume 3, unnumbered page,
    • This theorem holds good for complete solids as well as frustums , whether right or oblique.
  • * 2006', Pawan Harish Nirnimesh, P. J. Narayanan, ''Culling an Object Hierarchy to a '''Frustum Hierarchy'', Prem Kalra, Shmuel Peleg (editors), ''Computer Vision, Graphics and Image Processing: 5th Indian Conference, ICVGIP 2006 , Springer, LNCS4338, page 252,
    • However, when there are multiple view frustums (as in a tiled display wall), visibility culling time becomes substantial and cannot be hidden by pipelining it with other stages of rendering.
  • * 2008 , R. Benjamin Davis, Techniques to Assess Acoustic-structure Interaction in Liquid Rocket Engines , page 122,
    • Here, the dynamics of the fluid-filled frusta' of cones are considered (see Figure 5.5). The ' frusta are clamped at their roots and free at their ends.
  • A portion of a sphere delimited by two parallel planes.
  • * 1840 , James Blundell, Observations on Some of the More Important Diseases of Women , page 131,
    • In some women it[the os uteri] is flat, in many more tuberose, and forming, as it were, a frustum of a sphere;.
  • * 2014 , John Bird, Engineering Mathematics , page 183,
    • Problem 22.' Determine the volume of a '''frustum''' of a sphere of diameter 49.74 cm if the diameter(sic) of the ends of the '''frustum''' are 24.0 and 40.0 cm, and the height of the ' frustum is 7.00 cm.

    Usage notes

    The misspelling frustrum is by incorrect analogy with frustrate, also of Latin origin. * (portion of a sphere) The portion of the surface of a sphere delimited by parallel planes (i.e., the curved surface of a frustum) may be called a zone; however, that term is also sometimes used as a synonym of frustum .

    Derived terms

    * frustum culling * view frustum * viewing frustum

    Related terms

    * bifrustum

    References

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    undefined

    English

    Adjective

    (wikipedia undefined) (-)
  • Lacking a definition or value.
  • (mathematics, computing) That does not have a meaning and is thus not assigned an interpretation.
    • The result of division by zero is undefined .

    Antonyms

    * defined