A metric space in which every sequence that converges in itself has a limit. For example, the space of real numbers is complete by Dedekind’s axiom, whereas the space of rational numbers is not – e.g. the sequence a=1; a[n_+1]:=a[n]/2+1/a[n].
[kuh m-pleet] /kəmˈplit/ adjective 1. having all parts or elements; lacking nothing; whole; entire; full: a complete set of Mark Twain’s writings. 2. finished; ended; concluded: a complete orbit. 3. having all the required or customary characteristics, skills, or the like; consummate; perfect in kind or quality: a complete scholar. 4. thorough; entire; total; undivided, […]
- Complete partial ordering
theory (cpo) A partial ordering of a set under a relation, where all directed subsets have a least upper bound. A cpo is usually defined to include a least element, bottom (David Schmidt calls this a pointed cpo). A cpo which is algebraic and boundedly complete is a (Scott) domain. (1994-11-30)
- Complete protein
noun a protein containing all of the essential amino acids in the correct quanity and ratio for humans, found only in a few animal foods, such as the egg; cf. partial protein
noun, Geometry. 1. a plane figure composed of four straight lines and their points of intersection.