Auxiliary Function

Auxiliary Function

In mathematics, auxiliary functions are an important construction in transcendental number theory. They are functions that appear in most proofs in this area of mathematics and that have specific, desirable properties, such as taking the value zero for many arguments, or having a zero of high order at some point.

Read more about Auxiliary Function:  Definition, Auxiliary Functions From The Pigeonhole Principle, Interpolation Determinants

Famous quotes containing the word function:

    Philosophical questions are not by their nature insoluble. They are, indeed, radically different from scientific questions, because they concern the implications and other interrelations of ideas, not the order of physical events; their answers are interpretations instead of factual reports, and their function is to increase not our knowledge of nature, but our understanding of what we know.
    Susanne K. Langer (1895–1985)