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Exact(8)
For each iteration of the loop, there is required a total of 38 assembly instructions.
Termination is clear since each iteration of the Loop 6-12 increases.
Those indexes are obtained by increasing index k by a unit in each iteration of the loop indexed by k 1.
Next, we start collecting operator statistics for joins over two tables and progressively expand the size through each iteration of the loop on line 3.
In order to avoid multiplications in the generation of the index, nk, the latter is computed by adding k to nk in each iteration of the loop n (inside the function directFourier).
Another key-point of the FastMat approach is that some computations (for instance the optimal order in the multi-product operation mentioned before) are computed in the first iteration of the loop body and stored in a cache object, so that in the second and subsequent executions these computations are retrieved from the cache, and then not recomputed.
Similar(52)
Whenever the proposed sequence optimizaton strategy is applied, 19 iterations of the loop in the algorithm described in Section 6 have been carried out.
The length of the charge time can be determined by the number of iterations of the loop embodied in Lines 5-22 of Algorithm 1.
In that case, counting the number of iterations of the loop immediately reveals the result (even if the plaintext comparison facility is concealed within the HSM).
Especially the evaluation step Eval is designed to scale: in the first iterations of the loop, the cost of evaluating X gen against X all is bound by (mathcal {O}(|X_{text {all}}|^{2})).
This is because in the worst case, |e| elements in e are prepended to a copy of d ∈ D in |D| iterations of the loop (prepending a single element is done in constant time).
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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