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Then the joint optimization of transmit power and transmission time can be solved with two steps: first find the optimal transmit powers as functions of the transmission time, then optimize the transmission time to minimize the EC.
The above equation becomes a fourth-order equation in ψ1c to be solved with two in-plane conditions along constant x (and y) edges σ x 1 c * = 0 ⇄ x, y, v 1 c * = 0 ⇄ u, v Open image in new window (41).
By expressing [u1s, v1s] = -α [ψ1s, x, ψ1s, y ] due to the second equation v1s, x = u1s, y, Equation 58 becomes a fourth-order equation in ψ1s to be solved with two in-plane conditions along constant x (and y) edges in the present example σ x 1 s = 0 ⇄ x, y, v 1 s = 0 ⇄ v, u Open image in new window (59).
Circle pairs could be solved with two different schemas regarding 1) the horizontal position of one circle (spatial schema; for example, "a circle on the left predicts sun"), or 2) the color of one circle (non-spatial schema; for example, "a blue circle predicts rain").
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"But we also have tough times ahead of us that can't be solved with one big step".
Moreover, we will show that the concept variation issue can be solved with three variants of our solution.
"I believe that most people will trust that there is a problem that can be solved with one of the app's advertised 'solutions' and will follow the recommended steps, which may lead to an investment into unwanted apps from untrusted sources".
Then the consensus problems are solved with two different topology conditions.
Full Navier Stokes equations were solved with two level set functions for a bubble and a free surface.
The same problem has been solved with two other stochastic based optimization algorithms, namely a Genetic Algorithm and a Differential Evolution and the results are used for comparison.
The resulting equation system has been solved with two different sets of boundary conditions in order to obtain the four-pole parameters of a specified section of duct.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com