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It's much too big a subject to sum up in a phrase.
subject to (sum r_{i} =R(rho,theta _{o})) and r i >0.
Specifically, [14] presents an optimized solution to minimize the sum power subject to sum rate constraint for the dual-hop OFDM system.
subject to (sum _{i=1}^{n}{boldsymbol sigma }_{i}=k), where W 2(α ∗,C σ) represents the optimal objective function of the soft margin maximization problem with a kernel modified by σ, and R 2 is the radius of kernel K σ.
In a manner analogous to the sparse preamble case, the preamble optimization criterion will be to minimize the normalized MSE = 1 2 M Tr C H ̂ subject to sum energy constraints at the source and the relay, namely min x 1, x 2, e, E 1, E 2 1 2 M Tr C H ̂ (54) s.t.
We note that pattern counts are not independent, but are subject to sum rules.
Similar(54)
The total sugar yield from pretreatment and enzymatic hydrolysis was subject to the sum total of hexoses and pentoses.
LASSO minimises the residual sum of squares subject to the sum of the absolute value of the coefficients being less than a constant.
Since the above argument holds for all invertible and, and positive and, we conclude that the multiplexing gain of the AF strategy is equal to 2. For HLC and HMC, relay 1 is required to decode the messages of the terminals, and in both schemes the sum rate is subject to the sum rate constraint in the MAC channel in the first phase.
It minimizes the residual sum of squares subject to the sum of the absolute value of the coefficients being less than a constant s.
For example, reference [7] considers a WSN with the orthogonal MAC and derives the optimal power allocation policies in a way that the total distortion is minimized subject to a sum power constraint at the sensors.
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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