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 and, real, complex and/or analysis:

    The real and lasting victories are those of peace, and not of war.
    Ralph Waldo Emerson (1803–1882)

    We must reserve a back shop all our own, entirely free, in which to establish our real liberty and our principal retreat and solitude.
    Michel de Montaigne (1533–1592)

    All propaganda or popularization involves a putting of the complex into the simple, but such a move is instantly deconstructive. For if the complex can be put into the simple, then it cannot be as complex as it seemed in the first place; and if the simple can be an adequate medium of such complexity, then it cannot after all be as simple as all that.
    Terry Eagleton (b. 1943)

    Ask anyone committed to Marxist analysis how many angels on the head of a pin, and you will be asked in return to never mind the angels, tell me who controls the production of pins.
    Joan Didion (b. 1934)