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Preimage vs Primage - What's the difference?

preimage | primage |

As nouns the difference between preimage and primage

is that preimage is the set containing exactly every member of the domain of a function such that the member is mapped by the function onto an element of a given subset of the codomain of the function. Formally, of a subset B of the codomain Y under a function ƒ, the subset of the domain X defined by while primage is a payment made for loading or unloading a ship, or for care of goods during transit by ship.

preimage

English

(Function)

Noun

(en noun)
  • (mathematics) The set containing exactly every member of the domain of a function such that the member is mapped by the function onto an element of a given subset of the codomain of the function. Formally, of a subset B'' of the codomain ''Y'' under a function ƒ, the subset of the domain ''X defined by
  • f^{-1}(B) = \{x \in X : f(x) \in B\}.
    For example, the preimage of {4, 9} under the squaring function is the set {?3,?2,+2,+3}.

    Synonyms

    * inverse image

    primage

    English

    Etymology 1

    From primagium. (The French word post-dates the English.)

    Noun

    (en noun)
  • (archaic) A payment made for loading or unloading a ship, or for care of goods during transit by ship.
  • * 1818 , , The Political State of the British Empire , Volume 3, page 197,
  • By the bill of lading the ma?ter undertakes to deliver the goods on payment of freight with primage and average accu?tomed.
  • (archaic, UK) An import duty levied by a guild of harbour pilots (especially at Kingston-upon-Hull and Newcastle-upon-Tyne) .
  • (Australia, New Zealand) An additional import duty levied by customs.
  • * 1932 , E. T. McPhee (Commonwealth Statistician), Official Year Book of the Commonwealth of Australia: No. 25 - 1932 ,
  • The rate of primage duty was subsequently increased to 4 per cent. as from the 6th November, 1930.

    Etymology 2

    From .

    Noun

    (en noun)
  • (engineering, rare) Droplets of water suspended in steam (especially in the cylinder of a steam engine).
  • * 1883 , Emory Edwards, Modern American Locomotive Engines: Their Design, Construction and Management , page 75,
  • Of these temperatures, only one, the second, indicates primage ; all others exhibit a slight superheat.

    Anagrams

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