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Infinitesimal vs Algebroid - What's the difference?

infinitesimal | algebroid |

In mathematics terms the difference between infinitesimal and algebroid

is that infinitesimal is a non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number) while algebroid is describing algebraic characteristics of groupoids.

infinitesimal

English

Adjective

(en adjective)
  • Incalculably, exceedingly, or immeasurably minute; vanishingly small.
  • *
  • (mathematics) Of or pertaining to values that approach zero as a limit.
  • (informal) Very small.
  • Usage notes

    * Strictly, this adjective, like infinite, is incomparable, so more infinitesimal' and '''most infinitesimal are proscribed, especially in the mathematical sense. However, these forms do occur in informal usage, where the ''very small (but measurable) sense is most common.

    Synonyms

    * See also

    Antonyms

    * infinite * enormous

    Noun

    (wikipedia infinitesimal) (en noun)
  • (mathematics) A non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number).
  • Antonyms

    * infinity

    Derived terms

    * infinitesimal calculus * infinitesimally

    algebroid

    English

    Noun

    (en noun)
  • (mathematics) An infinitesimal algebraic object associated with a groupoid
  • Derived terms

    * Lie algebroid

    Adjective

    (en adjective)
  • (mathematics) Describing algebraic characteristics of groupoids