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Formulation of normalized pay-off matrix (P ij ) : The criteria matrix (Table 1) was normalized using the equation (6).
In the entropy measurement approach, the weights of criteria were determined using the following steps (Aomar, 2002): Formulation of normalized pay-off matrix (P ij ) : The criteria matrix (Table 1) was normalized using the equation (6).
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(5) Equation 5 provides the formulation of the normalized link weight with || i || being the number of mutated genes associated with cancer i. Figure 7 shows the hierarchical clusters that result from clustering with normalized link weights.
The sparse nature of impulse responses describing telephone hybrid echoes motivated the formulation of the proportionate normalized least-mean-squares algorithm (PNLMS) and the improved PNLMS (IPNLMS) algorithms [22, 23], respectively.
We work with a general adimensional formulation of the Hoek Brown failure criterion in the space of normalized Lambe's variables for plane stress, and we perform linearization considering the stress field in the plastic region around the tunnel.
At last, based on analytical interaction formulations of literature, a normalized domain is proposed for their stability check.
Then, we construct simple empirical formulations to find out the optimum back focal length as function of normalized frequency and aspect ratio of such fibers for optimal excitation of fiber.
By relying on analysis of the positive and negative characteristics of the time derivatives of normalized fuzzy weighting functions, some redundant terms are removed from the problem formulation.
TEHRAN — Think of normalized relations with the United States as the big prize.
And would challenging a culture of normalized influence-peddling really be such a bad thing?
Syria at first opposed Abdullah's peace proposal, asking that the idea of normalized relations with Israel be toned down.
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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