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  2. Range of a function - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_function

    is a function from domain X to codomain Y. The yellow oval inside Y is the image of . Sometimes "range" refers to the image and sometimes to the codomain. In mathematics, the range of a function may refer to either of two closely related concepts: the codomain of the function, or; the image of the function.

  3. Surjective function - Wikipedia

    en.wikipedia.org/wiki/Surjective_function

    In mathematics, a surjective function (also known as surjection, or onto function / ˈ ɒ n. t uː /) is a function f such that, for every element y of the function's codomain, there exists at least one element x in the function's domain such that f(x) = y. In other words, for a function f : X → Y, the codomain Y is the image of the function ...

  4. Bijection, injection and surjection - Wikipedia

    en.wikipedia.org/wiki/Bijection,_injection_and...

    A function is bijective if it is both injective and surjective. A bijective function is also called a bijection or a one-to-one correspondence (not to be confused with one-to-one function, which refers to injection). A function is bijective if and only if every possible image is mapped to by exactly one argument. [1]

  5. Function (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Function_(mathematics)

    For every set X, there is a unique function, called the empty function, or empty map, from the empty set to X. The graph of an empty function is the empty set. [note 5] The existence of empty functions is needed both for the coherency of the theory and for avoiding exceptions concerning the empty set in many statements.

  6. Well-defined expression - Wikipedia

    en.wikipedia.org/wiki/Well-defined_expression

    Colloquially, the "function" is also called ambiguous at point (although there is per definitionem never an "ambiguous function"), and the original "definition" is pointless. Despite these subtle logical problems, it is quite common to use the term definition (without apostrophes) for "definitions" of this kind, for three reasons:

  7. Attributive verb - Wikipedia

    en.wikipedia.org/wiki/Attributive_verb

    The attributive verb formation is the usual way of forming relatives in Luganda when the antecedent is the subject of the subordinate verb, and is sometimes called the "subject relative". Relative pronouns do exist, but they are only used for "object relatives", i.e. relative clauses where the antecedent is the object of the subordinate verb.

  8. History of the function concept - Wikipedia

    en.wikipedia.org/wiki/History_of_the_function...

    The one-argument function Frege generalizes into the form Φ(A) where A is the argument and Φ( ) represents the function, whereas the two-argument function he symbolizes as Ψ(A, B) with A and B the arguments and Ψ( , ) the function and cautions that "in general Ψ(A, B) differs from Ψ(B, A)".

  9. Noun adjunct - Wikipedia

    en.wikipedia.org/wiki/Noun_adjunct

    The adjectival noun term was formerly synonymous with noun adjunct but now usually means nominalized adjective (i.e., an adjective used as a noun) as a term that contrasts the noun adjunct process, e.g. the Irish meaning "Irish people" or the poor meaning "poor people". [citation needed] Japanese adjectival nouns are a different concept.