complexity

n. intricacy, complicated quality

Complexity in general usage is the opposite of simplicity. Complexity in specific usage is the opposite of independence, while complication is the opposite of simplicity.
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Noun
1. the quality of being intricate and compounded; "he enjoyed the complexity of modern computers"
(synonym) complexness
(antonym) simplicity, simpleness
(hypernym) quality
(hyponym) complicatedness, complication, knottiness
(attribute) simple
(derivation) complexify

(n.)
The state of being complex; intricacy; entanglement.
  

(n.)
That which is complex; intricacy; complication.
  

travelling salesman problem time complexity NP-complete polynomial-time algorithm NPC NP metaheuristic space complexity exponential-time algorithm nondeterministic polynomial time complementary nondeterministic polynomial exponential-time NP-hard non-polynomial Nondeterministic Turing Machine polynomial-time 

<algorithm> The level in difficulty in solving mathematically posed problems as measured by the time, number of steps or arithmetic operations, or memory space required (called time complexity, computational complexity, and space complexity, respectively).
The interesting aspect is usually how complexity scales with the size of the input (the "scalability"), where the size of the input is described by some number N. Thus an algorithm may have computational complexity O(N^2) (of the order of the square of the size of the input), in which case if the input doubles in size, the computation will take four times as many steps. The ideal is a constant time algorithm (O(1)) or failing that, O(N).
See also NP-complete.
(1994-10-20)