Its space complexity is O ( n ^ 3 \ log { n } ), but when precomputed modular polynomials are used this increases to O ( n ^ 4 ).
22.
He was awarded the G�del Prize twice, in 2001 and 2005, for his work on probabilistically checkable proofs and on the space complexity of approximating the frequency moments in streamed data.
23.
It no longer requires that a total order of objects be specified in the consistency model and maintained in the algorithm, which hence results in reduced time / space complexities in the algorithm.
24.
Thus, the time complexity of finding the free variables in " t " is traded for the space complexity of maintaining a list of the terms in which a variable occurs.
25.
The measure of space complexity in terms of DSPACE is useful because it represents the total amount of memory that an actual computer would need to solve a given computational problem with a given algorithm.
26.
In computational complexity theory, the strict definition of in-place algorithms includes all algorithms with O ( 1 ) space complexity, the class "'DSPACE "'( 1 ).
27.
This space complexity is achieved by doing a progressive partial sort tracking a sorted list of the lowest " k " elements so far, such as by the partial insertion sort above.
28.
The time and space complexities of the attack are low enough that the authors carried out the attack in two hours on an Intel Core 2 Duo desktop computer even using the unoptimized reference KASUMI implementation.
29.
It is difficult to study sublinear space complexity on multi-tape machines with the traditional model, because an input of size " n " already takes up space " n ".
30.
Arrays are used to implement other data structures, such as lists, overhead, but may have poor space complexity, particularly when modified, compared to tree-based data structures ( compare a sorted array to a search tree ).
