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Its average complexity is computed through simulations over all SNR range.
Thus, the average complexity is such that O L. ∑ l = 2 l max l 2 = O 2. l max.
So, the average complexity is such that: mathcal{O}left Mcdotsumlimits_{text{it=1}}^{text{it}_{text{max}}}sumlimits_{l=2}^{text{l}_{text{max}}}l^{2}right)=mathcal{O} Mcdot l_{text{max}}^{3}cdot mathrm {it}_{max}) (28).
Indeed, the SD achieves quasi-ML performance while its average complexity is shown to be polynomial (roughly cubic) in constellation size and in the number of transmit antennas over a certain range of signal-to-noise ratio (SNR) while the worst case complexity is still exponential [11].
The worst case time complexity is then O (b + d b n 2 + n 2 b L (log n + (b + d ) log L ) = O (n 2 b L (log n + (b + d ) L ) ), and the average complexity is O (b + d b n 2 | Σ | − q + n 2 b ((L − q + 1 ) (d + b ) e p | Σ | q ) p L log n L | Σ | q ).
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For p large enough, the average time complexity is O (b + d b n 2 | Σ | − q ).
Suffice it to say that the average-case complexity is O(n) even when the trivial O(n) algorithm -- which in turn applies each of the O(n) reversals and checks in linear time [ 17] if the distance has decreased -- is used on permutations with bad components.
When k = O (m / log σ m ), the average-case time complexity is O (n ).
Note also that our analysis of the average-case time complexity is based on the assumption that the text structure follows the random-walk model, like the analysis in [ 10].
Architecture Complexity is, on average, 7% lower with the search-based approach (6.46) when compared to the style-based approach (7.02).
We do not mean that the time complexity is against some 'average' structure, but it is the average-case (or expected) time complexity against all the possible structures whose distribution follows the model.
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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