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Analytical justifications for the algorithmic steps are provided.
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Innovation on the circuit structure needs quick analytical justification.
No analytical justification for the performance of the proposed algorithms is given.
We apply the majorization-minimization techniques mentioned above to develop a low-complexity anytime algorithm that has a strong analytical justification.
As an analytical justification of our formulations, we show that our method reveals some static results by J.M.C. Duhamel and by W. Voigt and D.E.
We only need to approximate the cost function as done in (11a) and apply the MM algorithm to the resulting optimization problem, and we note that these operations have a strong analytical justification.
This chapter provides the analytical justification for the sizing the doubler on the forward cargo hook beam of a CH-47 aircraft and presents margins of safety on the repair components.
An analytical justification of these findings comes from an expansion, in terms of the small mutation rate, u, of the probability of treatment failure.
As an application we obtain analytical justification of empirical relationships that have been observed in conjunction with cell cycle switch models [ 16].
Probability and possibility are critical to understand what can be accepted as an analytical proof, a justification, a probation, a critique, or a falsification [12].
If the justification were analytical, the book would be well worth the investment in time, because we need to know how Chinese leaders really view their position in society.
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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