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Discover LudwigThe phrase "allocation given by" is correct and usable in written English.
It can be used when referring to the distribution or assignment of resources or responsibilities as determined by a specific source or authority.
Example: "The allocation given by the project manager was crucial for the successful completion of the task."
Alternatives: "distribution provided by" or "assignment made by".
Exact(4)
where is the optimal power allocation given by (30).
Fix an energy allocation given by a vector, where denotes the energy of the user.
This means that acquiring one more resource on the day level would allow the operator to use one more transmission resource in each elementary time frame of that day compared to the next higher level allocation given by the regulator.
CRA: In case of using ρ m, b as defined in (25), and for a given value of μ, the innermost maximization in (49) provides a multilevel water-filling closed-form expression for the optimal power allocation given by p m, b * = N sc w m μ T o ln 2 - N sc Λ m σ ν 2 δ m, b +, (50).
Similar(56)
Due to Theorem 2, the expressions for bit-allocations given by (9), (14) and (20) applies to SWC-HRSQ model as well.
Then, the bit-allocations given by (9), (14), and (20) are still valid provided that the eigenvalues in these expressions are replaced by the variances of the corresponding DCT coefficients.
It is the Polish governing body's estimate that 20,000 Poles will be in the stadium after the original 8,000 ticket allocation given to them by the English Football Association sold out and a further 10,000 were sold by the FA to Poles in the UK and Poland.
(3) Resource Allocation: the power allocation is given by whose entries solve the problem (5) .
The idea behind target-date retirement funds is to keep things simple by providing an optimal asset allocation, given an investor's age, in just one fund.
In the power allocation, in each iteration for μ in Equation 13, we need to compute N power allocation values given by Equation 14.
The power allocation is given by the positive root (17).
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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