Multivalued function

binary relation, which is left-total, but may not be right-unique ; isomorph to another function from the same source set, but to the power set of the codomain of the initial function

A multivalued function (multifunction) is a relation like a function. A multifunction associates each input with at least one output.[1] A strict function associates each input with exactly one output. An example of a multivalued function is the square root. Every complex number (except for 0), has two square roots. Example: could be 2 or -2 because and .

An example of a multifunction: the input 3 is associated with both the output b and the output c.

References change

  1. "multi-valued function in nLab". Ncatlab.org. 2010-09-15. Retrieved 2011-11-11.