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Preimage vs Fiber - What's the difference?

preimage | fiber |

In mathematics terms the difference between preimage and fiber

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 fiber is the preimage of a given point in the range of a map.

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

    Related terms

    * image

    fiber

    English

    Alternative forms

    * fibre (chiefly British)

    Noun

    (en noun)
  • (countable) A single elongated piece of a given material, roughly round in cross-section, often twisted with other fibers to form thread.
    • The microscope showed a single blue fiber stuck to the sole of the shoe.
  • (uncountable) A material in the form of fibers.
    • The cloth is made from strange, somewhat rough fiber .
  • (textiles) A material whose length is at least 1000 times its width.
    • Please use polyester fiber for this shirt.
  • Dietary fiber.
    • ''Fresh vegetables are a good source of fiber
  • (figuratively) Moral strength and resolve.
    • The ordeal was a test of everyone's fiber .
  • (mathematics) The preimage of a given point in the range of a map.
    • ''Under this map, any two values in the fiber of a given point on the circle differ by 2π
  • (computing) A kind of lightweight thread of execution.

    • Derived terms

    {{der3, dietary fiber , fiber bundle , fiberboard , fibered , fiberglass , fiberize , fiber optics , fiberscope , fibril, fibrilar , fibrin, fibrinous , fibrinogen , fibrinolysin , fibroblast , fibrocyte , fibroid , fibroma , fibrosis , fibrositis , fibrous , fibrovascular , microfiber , moral fiber , natural fiber , synthetic fiber}}

    Anagrams

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