Some articles on cauchy completeness, cauchy:
... Cauchy completeness is the statement that every Cauchy sequence of real numbers converges ... The rational number line Q is not Cauchy complete ... Though this is a Cauchy sequence of rational numbers, it does not converge to any rational number ...
Famous quotes containing the word completeness:
“Poetry presents indivisible wholes of human consciousness, modified and ordered by the stringent requirements of form. Prose, aiming at a definite and concrete goal, generally suppresses everything inessential to its purpose; poetry, existing only to exhibit itself as an aesthetic object, aims only at completeness and perfection of form.”
—Richard Harter Fogle, U.S. critic, educator. The Imagery of Keats and Shelley, ch. 1, University of North Carolina Press (1949)