Definitions

from The American Heritage® Dictionary of the English Language, 5th Edition.

  • noun A flow or flowing.
  • noun Continual change.
  • noun Differential calculus.

from The Century Dictionary.

  • noun The act of flowing; fluxation; change.
  • noun That which flows; that which changes; a flux.
  • noun Specifically— In medicine: An abnormal flow or determination of blood or other humor to any organ, as the brain; active hyperemia. A catarrh.
  • noun The running or reduction of metals to a fluid state; fusion.
  • noun Something, as an indication, which constantly varies.
  • noun In mathematics, the rate of change of a continuously varying quantity; the differential coefficient relatively to the time.

from the GNU version of the Collaborative International Dictionary of English.

  • noun The act of flowing.
  • noun The matter that flows.
  • noun Fusion; the running of metals into a fluid state.
  • noun (Med.) An unnatural or excessive flow of blood or fluid toward any organ; a determination.
  • noun A constantly varying indication.
  • noun The infinitely small increase or decrease of a variable or flowing quantity in a certain infinitely small and constant period of time; the rate of variation of a fluent; an incerement; a differential.
  • noun A method of analysis developed by Newton, and based on the conception of all magnitudes as generated by motion, and involving in their changes the notion of velocity or rate of change. Its results are the same as those of the differential and integral calculus, from which it differs little except in notation and logical method.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun obsolete, mathematics The derivative of a function
  • noun rare or (archaic) The action of flowing

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

  • noun a flow or discharge

Etymologies

from The American Heritage® Dictionary of the English Language, 4th Edition

[French, from Late Latin flūxiō, flūxiōn-, from Latin flūxus, flux; see flux.]

Examples

  • The fluxion of a fluent x is denoted by x·, and its moment, or “infinitely small increment accruing in an infinitely short time o”, by x·o.

    Continuity and Infinitesimals

  • Digesting its contents, particularly in the given form (in fluxion instead of normal calculus) could have taken months, if not years.

    Kant's Philosophical Development

  • Their bodies continually going up and down upon perpetual fluxion, they never could live if their minds did the same, like the minds of stationary landsmen.

    Mary Anerley

  • Then, like an overloaded video screen it slowly, slowly became a nauseous fluxion of repulsive colors-and it was squirming!

    The Dragon Lensman

  • All is as unsubstantial, as vague and shadowy, as Coleridge's "image of a rock," or Bishop Berkeley's "ghost of a departed quantity," as he once defined a fluxion.

    Life: Its True Genesis

  • He indulged himself in indolence and social pleasure, but was at the same time much devoted to reading; and enjoyed a tolerable good state of health, although often incommoded with a fluxion of rheum upon the eyes.

    The Lives of the Twelve Caesars, Volume 02: Augustus

  • From that journey he never returned alive, being attacked with a fatal fluxion of the lungs at a great public banquet given in his honor by Count Florida Blanca.

    Calvert of Strathore

  • He indulged himself in indolence and social pleasure, but was at the same time much devoted to reading; and enjoyed a tolerable good state of health, although often incommoded with a fluxion of rheum upon the eyes.

    De vita Caesarum

  • Mademoiselle de Nantes is in fairly good health, yet it looks as if a return of her fluxion were likely.

    Court Memoirs of France Series — Complete

  • This questionable success was sufficient to lead M. de Puységur, a few days after, to try his hand on a young peasant of the name of Victor, who was suffering with a severe fluxion upon the chest.

    Blackwood's Edinburgh Magazine, Volume 62, No. 382, October 1847

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