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:
“... there is a place in the United States for the Negro. They are real American citizens, and at home. They have fought and bled and died, like men, to make this country what it is. And if they have got to suffer and die, and be lynched, and tortured, and burned at the stake, I say they are at home.”
—Amanda Berry Smith (18371915)
“Power is not an institution, and not a structure; neither is it a certain strength we are endowed with; it is the name that one attributes to a complex strategical situation in a particular society.”
—Michel Foucault (19261984)
“Cubism had been an analysis of the object and an attempt to put it before us in its totality; both as analysis and as synthesis, it was a criticism of appearance. Surrealism transmuted the object, and suddenly a canvas became an apparition: a new figuration, a real transfiguration.”
—Octavio Paz (b. 1914)