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complex  (complexes plural )
The adjective is pronounced [PH:k][PH:&][PH:m][PH:p][PH:l][PH:e][PH:k][PH:s] in American English.  
1  adj Something that is complex has many different parts, and is therefore often difficult to understand.  (=complicated)  (Antonym: simple)  ...in-depth coverage of today's complex issues., ...a complex system of voting., ...her complex personality., ...complex machines.  
2  adj In grammar, a complex sentence contains one or more subordinate clauses as well as a main clause. Compare  compound. 
ADJ n 
3  n-count A complex is a group of buildings designed for a particular purpose, or one large building divided into several smaller areas. 
usu with supp 
...plans for constructing a new stadium and leisure complex., ...a complex of offices and flats.  
4  n-count If someone has a complex about something, they have a mental or emotional problem relating to it, often because of an unpleasant experience in the past. 
I have never had a complex about my height., ...a deranged attacker, driven by a persecution complex.  
  guilt complex 
  inferiority complex