Jump to content

Functional notation

From Wikipedia, the free encyclopedia

This is an old revision of this page, as edited by Fylwind (talk | contribs) at 16:10, 3 January 2017 ({{see also|Functional notation}}). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)

Function
$x \mapsto f (x)$
History of the function concept
Types by domain and codomain
$X \to 𝔹$ $𝔹 \to X$ $𝔹 n \to X$ $X \to ℤ$ $ℤ \to X$ $X \to ℝ$ $ℝ \to X$ $ℝ n \to X$ $X \to ℂ$ $ℂ \to X$ $ℂ n \to X$
Classes/properties
Constant Identity Linear Polynomial Rational Algebraic Analytic Smooth Continuous Measurable Injective Surjective Bijective
Constructions
Restriction Composition λ Inverse
Generalizations
Relation (Binary relation) Set-valued Multivalued Partial Implicit Space Higher-order Morphism Functor
List of specific functions
v t e

Functional notation is the notation for expressing functions as $f(x)$ which was first used by Leonhard Euler in 1734.^[1] In this notation, an inverse function is expressed as $f^{-1}(x)$ .^[2]

References

^ Ron Larson, Bruce H. Edwards (2010), Calculus of a Single Variable, Cengage Learning, p. 19, ISBN 9780538735520
^ W.T. Brande, A Dictionary of Science, Literature and Art, p. 683

Retrieved from "https://en.wikipedia.org/w/index.php?title=Functional_notation&oldid=758117259"

Elementary mathematics

Hidden category:

Redirects connected to a Wikidata item