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If the variables in x t are not cointegrated, the rank of П is zero and all the characteristic roots (λ i ) will be equal to zero.
The net force that remains on the particle as a result of pressure in domain i will be equal to the forces that are applied on the arc between the dashed lines.
Hence, exp(V i ) will be equal to the residual or unexplained relative risk in each ED after adjusting for known area-specific covariates.
So we can guess that in the optimum all the λ i / σ i, σ i / δ i − 1 and ρ i will be equal to a fixed λ/ σ, σ/ δ, and ρ.
Therefore the on rate k i will be equal to k1 because it defines the transition from L + C i -1 to C i through binding of 1 ligand to 1 site.
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The variable μ models the minimum margin over all instances, i.e., in the optimal solution, it will be equal to the smallest ε i value.
At time 0, it will be equal to V 0) × [SID 0)].
His works however are good & his men in spirits, which I hope will be equal to an addition of many thousands.
Suppose that P(V x ) and P(V i ) are measured independently and considered to be equal, then probability P(V i |V x ) will be equal to probability P(V x |V i ), which represents a conditional probability of the parameter V x given one of its neighbors V i, for i=A, B, C, and D, and can be obtained through recording all the possible cluster pairs occurring together using the training data.
The binary decision variable x i k, t will be equal to one if the demand at vertex i ∈ V is covered k times (k = 1, 2) at time t.
Finally, if the evolutionary rate is expressed in units of mutations per site per generation then the resulting tree will be in units of generations and the population parameter of the demographic model will be in natural units (i.e. will be equal to the effective number of reproducing individuals, N e ).
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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