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Then, every limit point of maximizes over.
For any nonnegative real number, if minimizes the function, maximizes over all such that.
The resonance frequency f res is the input frequency for which their relative speed is optimal in the sense that it allows the limit cycle trajectory to move in a direction that maximizes (over the range of input frequencies f) the distance (in the v direction) the limit cycle trajectory can cover before intersecting the moving v-nullcline, at which time they are forced to reverse direction.
For each case T in the recursion of W i, j) and W i, j; k, l) that maximizes over W(F1)+ W (F2) for respective splits of the fragment F = (i, j) or F = (i, j; k, l), maximize only over fragments F2 that are not T T RE -OD.
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Our aim is to minimize the variance of the estimation error to maximize over and.
It is easy to deduce from the upper bound in (9) that the channel capacity in the absence of atmospheric turbulence is obtained by maximizing over, that is,, where is (15).
Since (B.1) is continuously differentiable over the new feasible region given by (B.3) and (B.4), we can now apply Theorem 3. Thus, we can devise an iterative algorithm to maximize the function, by maximizing over for fixed ( for fixed ) and then maximizing for fixed ( for fixed ).
When one has a choice of which variables to integrate over and which to maximize over, it is suggested that one would integrate over as many variables as possible in order to capture the relevant volume information of high-dimensional probability distributions (MacKay, 1996, 1999).
The membership functions are analytically determined via solving a variational optimization problem that maximizes the "over-uncertainties-averaged-log-membership" of the observed data around an initial guess.
Here maximal means that we maximize over all possible signal input phases relative to the bias input.
Note that maximization of above term over is equivalent to maximizing over general.
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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