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Continuous vs Glissette - What's the difference?

continuous | glissette |

As an adjective continuous

is without break, cessation, or interruption; without intervening time.

As a noun glissette is

(mathematics) the locus described by any point attached to a curve that moves continuously along another fixed curve, the movable curve having no rotation at any instant.

continuous

English

Adjective

(-)
  • Without break, cessation, or interruption; without intervening time.
    • a continuous current of electricity
  • * 1847 , , Ticknor and Fields (1854), page 90:
    • he can hear its continuous murmur
  • Without intervening space; continued; protracted; extended.
    • a continuous line of railroad
  • (botany) Not deviating or varying from uniformity; not interrupted; not joined or articulated.
  • (analysis, of a function) Such that, for every x'' in the domain, for each small open interval ''D'' about ''f''(''x''), there's an interval containing ''x'' whose image is in ''D .
  • (mathematics, more generally, of a function) Such that each open set in the range has an open preimage.
    • Each continuous function from the real line to the rationals is constant, since the rationals are totally disconnected.
  • (grammar) Expressing an ongoing action or state.

    • Usage notes

    *

    Synonyms

    * (without break, cessation, or interruption in time''): constant, continual (''but see usage notes above ), incessant, never-ending, ongoing, unbroken, unceasing, unending, uninterrupted * (without break, cessation, or interruption in space ): connected, unbroken * See also

    Antonyms

    * (without break, cessation, or interruption in time ): broken, discontinuous, discrete, intermittent, interrupted * (without break, cessation, or interruption in space ): broken, disconnected, disjoint, unbroken * (in mathematical analysis ): discontinuous, stepwise

    Derived terms

    * continuous brake * continuous impost * continuously * continuousness (in mathematics) * continuous distribution * continuous function * continuous group * continuous line illusion * continuous map * continuous mapping theorem * continuous space * continuous vector bundle * continuously differentiable function * uniformly continuous

    Related terms

    * continuity * continued * continuum

    See also

    * constant * contiguous

    References

    glissette

    English

    Noun

    (en noun)
  • (mathematics) The locus described by any point attached to a curve that moves continuously along another fixed curve, the movable curve having no rotation at any instant.
    • (Webster 1913)

    History

    In the preface to the first edition of Notes on Roulettes and Glissettes(1870), the author, William Henry Besant stated, "I have ventured to introduce, and employ, the word Glissette, as being co-expressive with Roulette, a word which has been in use amongst mathematicians for a considerable time." http://ebooks.library.cornell.edu/cgi/t/text/text-idx?c=math;cc=math;view=toc;subview=short;idno=00630002