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The most complex operation here is the complex multiplication in Equation (8).
The most complex operation that the algorithm must perform is represented by the tangent computation.
The eigenvalue matrix computation is the most complex operation from the four stages of the PCA computation.
Essex Police say getting the turbines to their destination is their "biggest and most complex operation" ever involving loads on the roads.
Instead it is implemented by multiplication of the data vector by the pre-computed matrix, as described in Section 4. The most complex operation is the computation of the pseudoinverse of a δ +γ × γ complex matrix.
From the computational point of view, the most complex operation in this algorithm is related with the calculation of the covariance and correlation matrices which need to be compared in order to determine the number of endmmebers.
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During the cold war the UN also oversaw one of its most complex operations, in Cambodia, which Hannay describes as being the "Syria of the 1980s".
But, she added, "You all have mastered state-of-the-art technologies, run some of the world's most complex operations.
Transmeta is picking up a torch originally carried by a hardy band of computer-design rebels in the late 1970's and 1980's, who bet that computer performance could be improved by drastically simplifying the hardware and shifting many of the most complex operations to software.
As in the case of the previous algorithm, the most complex operations are due to the calculation of the covariance and correlation matrices.
One of the biggest challenges companies like these face is finding ways to capitalize on their expertise of the software to take over some of the most complex operations for businesses that need a more specialized kind of deployment, but want to hand off that responsibility to someone else with core knowledge of the tools.
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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