Adjective

(complex number) (en adjective)

Made up of multiple parts; composite; not simple.

a complex''' being; a '''complex idea

* John Locke

Ideas thus made up of several simple ones put together, I call complex ; such as beauty, gratitude, a man, an army, the universe.

Not simple, easy, or straightforward; complicated.

* Whewell

When the actual motions of the heavens are calculated in the best possible way, the process is difficult and complex .

(mathematics) Of a number, of the form a + bi'', where ''a'' and ''b'' are real numbers and ''i is a square root of −1.

complex function

(geometry) A curve, polygon or other figure that crosses or intersects itself.

Adjective

(en-adj)

With all parts included; with nothing missing; full.

* {{quote-magazine, year=2012, month=March-April

, author= , title=Well-connected Brains , volume=100, issue=2, page=171 , magazine=(American Scientist) citation , passage=Creating a complete map of the human connectome would therefore be a monumental milestone but not the end of the journey to understanding how our brains work.}}

Finished; ended; concluded; completed.

*

, title=(The Celebrity), chapter=5 , passage=In the eyes of Mr. Farquhar Fenelon Cooke the apotheosis of the Celebrity was complete . The people of Asquith were not only willing to attend the house-warming, but had been worked up to the pitch of eagerness. The Celebrity as a matter of course was master of ceremonies.}}

(Generic intensifier).

(analysis, Of a metric space) in which every Cauchy sequence converges.

(algebra, Of a lattice) in which every set with a lower bound has a greatest lower bound.

(math, Of a category) in which all small limits exist.

(logic, of a proof system of a formal system)   With respect to a given semantics, that any well-formed formula which is (semantically) valid must also be provable.Sainsbury, Mark [2001] Logical Forms : An Introduction to Philosophical Logic . Blackwell Publishing, Hong Kong (2010), p. 358.

* Gödel's first incompleteness theorem showed that Principia'' could not be both consistent and complete. According to the theorem, for every sufficiently powerful logical system (such as ''Principia''), there exists a statement ''G'' that essentially reads, "The statement ''G'' cannot be proved." Such a statement is a sort of Catch-22: if ''G'' is provable, then it is false, and the system is therefore inconsistent; and if ''G is not provable, then it is true, and the system is therefore incomplete.^(w)