Domain of A Function - Real and Complex Analysis

Real and Complex Analysis

In real and complex analysis, a domain is an open connected subset of a real or complex vector space.

In partial differential equations, a domain is an open connected subset of the euclidean space Rn, where the problem is posed, i.e., where the unknown function(s) are defined.

Read more about this topic:  Domain Of A Function

Famous quotes containing the words real, complex and/or analysis:

    “I do like a little romance ... just a sniff, as I call it, of the rocks and valleys.... Of course, bread-and-cheese is the real thing. The rocks and valleys are no good at all, if you haven’t got that.”
    —Anthony Trollope (1815–1882)

    “The money complex is the demonic, and the demonic is God’s ape; the money complex is therefore the heir to and substitute for the religious complex, an attempt to find God in things.”
    —Norman O. Brown (b. 1913)

    “... the big courageous acts of life are those one never hears of and only suspects from having been through like experience. It takes real courage to do battle in the unspectacular task. We always listen for the applause of our co-workers. He is courageous who plods on, unlettered and unknown.... In the last analysis it is this courage, developing between man and his limitations, that brings success.”
    —Alice Foote MacDougall (1867–1945)