# Complexity

## How to spell

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complexitycom*plex"i*ty (?), n.; pl. complexities (#). [cf. f. complexitÃ©.] 1. the state of being complex; intricacy; entanglement. the objects of society are of the greatest possible complexity. 2. that which is complex; intricacy; complication. many-corridored complexities of arthur's palace.complexity n : the quality of being intricate and compounded; "he enjoyed the complexity of modern computers" [syn: complexness] [ant: simplicity] Â Â similar words(3)Â

Â computational complexityÂ Â time complexityÂ Â space complexityÂ

(n.)

The state of being complex; intricacy; entanglement.Â Â

(n.)

That which is complex; intricacy; complication.Â Â

Noun1. 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

travelling salesman problemÂ time complexityÂ NP-completeÂ polynomial-time algorithmÂ NPCÂ NPÂ metaheuristicÂ space complexityÂ exponential-time algorithmÂ nondeterministic polynomial timeÂ complementary nondeterministic polynomialÂ exponential-timeÂ NP-hardÂ non-polynomialÂ Nondeterministic turing MachineÂ polynomial-timeÂ

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 anÂ algorithmÂ 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 alsoÂ NP-complete.(1994-10-20)

Complexity in general usage is the opposite ofÂ simplicity. Complexity in specific usage is the opposite of independence, while complication is the opposite of simplicity.

the degree of difficulty which a purchaser of a new product has in understanding it; a major determinant of the rate of new product adoption. SeeÂ Adoption rate Determinants.

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#### Word analysis of complexity

 Length 10 Vocals complexity Consonants complexity MD5 75d0e151d51da802b3799d4dc5140c11 SHA1 8d08946e603eb0277964f9dffb00266975512736