Definitions from Wiktionary ( )

▸ adjective:  Made up of multiple parts; composite; not simple.
▸ adjective:  Not simple, easy, or straightforward; complicated.
▸ adjective:  (mathematics, of a number) Having the form a + bi, where a and b are real numbers and i is (by definition) the imaginary square root of −1.
▸ adjective:  (mathematics, mathematical analysis, of a function) Whose range is a subset of the complex numbers.
▸ adjective:  (mathematics, algebra) Whose coefficients are complex numbers; defined over the field of complex numbers.
▸ adjective:  (geometry) A curve, polygon or other figure that crosses or intersects itself.
▸ noun:  A problem.
▸ noun:  A network of interconnected systems.
▸ noun:  A collection of buildings with a common purpose, such as a university or military base.
▸ noun:  An assemblage of related things; a collection.
▸ noun:  An organized cluster of thunderstorms.
▸ noun:  A cluster of wildfires burning in the same vicinity.
▸ noun:  (taxonomy) A group of closely related species, often distinguished only with difficulty by traditional morphological methods.
▸ noun:  (psychoanalysis) A collection of ideas caused by repressed emotions that leads to an abnormal mental condition
▸ noun:  (informal, by extension) A vehement, often excessive psychological dislike or fear of a particular thing.
▸ noun:  (chemistry) A structure consisting of a central atom or molecule weakly connected to surrounding atoms or molecules, as for example coordination complexes in inorganic chemistry and protein complexes in biochemistry.
▸ noun:  (mathematics) A complex number.
▸ noun:  (linguistics) A multimorphemic word, one with several parts, one with affixes.
▸ verb:  (chemistry, intransitive) To form a complex with another substance
▸ verb:  (transitive) To complicate.

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