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Function   (englanti)

Määritelmä taso 2

A rule for changing numbers, for example, a function might be "add one and double".

Määritelmä taso 2

Something which takes in one (or more) number and turns it into another number, according to some rule.

Määritelmä taso 3

A function is a special relation which exists between each member of one set and just one member(its image) in a second set.
Functions are best illustrated by mapping diagrams.
The first set in each case is often called the domain of the function, while the second set is called the co-domain and the particular images used in this second set are called the range of the function.

Määritelmä taso 5

Given two sets A and B , a function f : A → B is a set f of ordered pairs (a,b) with a ∈ A and b ∈ B satisfying ∀a ∈ A( ∃(a,b) ∈ f     and (a,c) ∈ f \implies b=c) . Write f(x) for the unique element satisfying (x,f(x)) ∈ f . Compare relation.

Rahoittajat: EU Socrates Minerva, HeyMath!, Cambridge University Press
Tekijänoikeudet: 2001-2004 Cambridgen yliopisto ja yhteistyökumppanit