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The first branch of techniques can get a better solution while incurring a very large time complexity.
5.2, we construct pro-finitely closed subgroups of the direct product of two free groups with arbitrary large time complexity of the membership problem, distortion function and ther relative depth function (defined there).
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But the worst values appear when the patch size is 7. Furthermore, larger patch size will result in larger time complexity.
However, the overhead incurred by using an algorithm with a larger time complexity increases the time taken by the broker to make auto-scaling decisions.
In the DPforCSCCP algorithm, when D is too large, the time complexity must be in exponential time.
When the node which holds the token dies or the residual energy of it is lower than energy threshold δ, it will handover the token to the next node, which has the largest ID, the time complexity is O(D), here D is the diameter of the network.
Then, Kadane's algorithm [ 50] is used to determine the subarray with the largest sum in time complexity O(n).
These authors also proposed a faster signature-based method, called Alg Sign, for comparing large knowledge bases with time complexity O(n· logn).
For p large enough, the average time complexity is O (b + d b n 2 | Σ | − q ).
More precisely, it is O c2 k +2· k5 k +4· N), which means our algorithm is not so efficient for large k, but the time complexity is still linear if k is a constant.
It is a lengthy process for large data sets as the time complexity of this process is O(N log N), where N is number of triangles.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com