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To complete the derivation we only need to have ∂ K ̃ ( f ) ∕ ∂ θ, which is already discussed in Section 3.2.
A generalized curvilinear coordinate formulation for the large-eddy simulation (LES) that centers on the fact that two spatial operations are necessary to complete the derivation is proposed.
We complete the derivation of our objective function as a function of κ: (6) Minimizing J creates a transformed feature space with wide label separation and therefore calibrates the quantification with the graph transition energy.
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Substituting (7 - 8) along with their time derivatives into (2 - 5) completes the derivation of the forward kinematic map of the snake robot w.r.t. the desired specified coordinate chart ( x, x ̇ ).
This completes the derivation.
which completes the derivation.
This completes the derivation of Equations 32 and 33.
This completes the derivation of frequency-decoupled voltage equations for the six branches of the Hexverter in dq0 coordinates.
which completes the derivation of (widetilde {P}_{e,B}). 1 It is noteworthy that dirty paper coding (DPC) may be applied at T B to convey s A and s B which is theoretical optimal in a 2-user SISO Gaussian broadcasting channel system [25].
Next, we complete the outage probability and DMT derivation for each of the three selection strategies.
If you were unfamiliar with how the quadratic equation is derived when you started reading, there's a good chance that you're still a little confused about the "completing the square" steps in the derivation above.
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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