The space complexity can be optimized by storing chains of values, although collisions might reduce the coverage of this method, especially for long chains.
12.
The space complexity can be reduced at the cost of only obtaining an approximate answer, or correct answer with certain probability; these are discussed below.
13.
On the other hand, NSPACE describes the space complexity of non-deterministic Turing machines, which are not useful when trying to represent actual computers.
14.
The O ( 1 ) space complexity result was also implemented by Guy L . Steele, Jr ., perhaps challenged by Knuth's article.
15.
Methods involving graph theory have been shown to have better asymptotic space complexity than the package-merge algorithm, but these have not seen as much practical application.
16.
Moreover, in the algorithm, the total order must be maintained in the transformation functions and control procedure, which increases time / space complexities of the algorithm.
17.
The quality and usefulness of the algorithms are determined by the time complexity of queries as well as the space complexity of any search data structures that must be maintained.
18.
Different strategies may have very different characteristics in terms of their time and space complexity, memory requirements, etc ., and therefore in terms of their error characteristics.
19.
If is chosen to be } }, the space complexity of the algorithm is ) } }, while the time complexity is the same as that of the regular sieve.
20.
The space complexity was optimized by Myers and Miller from O ( mn ) to O ( n ) ( linear ), where n is the length of the shorter sequence.
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