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We employ the Gauss Newton method to minimize function F in Eq. (8).
Although a base station could determine the sensing window lengths that minimize function (11) and send these optimal values to each secondary user, in this article we rely on the secondary users themselves to determine their individual best sensing window length.
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It is well-known that the dimension of the interior singular set of a Dirichlet energy minimizing function on an $n$-dimensional domain is at most $n-2$n-2$
More on how multivalued harmonic functions arise in regularity theory for minimal surfaces and on the basic theory of multivalued Dirichlet energy minimizing functions.
Still more on how multivalued harmonic functions arise in regularity theory for minimal surfaces and on the basic theory of multivalued Dirichlet energy minimizing functions.
Abstract: I will discuss the fine structure of the branch set of multivalued Dirichlet energy minimizing functions as developed by Almgren.
Although functions and other constants may be left varying during circumscription, no earlier formalism to the best of our knowledge minimized functions.
Another quite realistic approach is to consider the optimization as a multiple objective optimization problem where the cost and the variance are simultaneously minimized functions.
We conducted the preparation of the dataset (bioactives and decoys sets) by the LigPrep module in Maestro and the Wash and Minimize functions of MOE.
Selection of that order so as to minimize some function of the time to perform all the tasks is a sequencing problem.
Our first approach to optimizing stability is to directly minimize the function α(A x)).
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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