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Each element of the VMM considers the total value of each column as the input and multiplies it by a unique coefficient.
In this case, to reduce the complexity, instead of summing up over all coefficient distortions in (14) to obtain the overall DCT band distortion, it is possible to sum up only the "unique" coefficient distortions and multiply each of them by their occurrence.
Since this difference is not the same for all loci, there is no reason why a single unique coefficient α should be used to model the initial level of association of Q with all markers.
Because of Lemma 4.2 (ii), and Theorem 4.1 each element ∑ i ∈ Z a i B i, p K ˇ ∈ S (K ˇ ) admits some unique coefficient vector (a i ′ ) i ∈ Z with (4.18) ∑ i ∈ Z a i B i, p K ˇ = ∑ i ∈ Z a i ′ B i, p K ˇ ′.
Similar(56)
Then, the RFM was applied to each hysteresis response to describe the flexion extension rotation as a function of applied moment and simulated axial displacement using a set of 16 unique coefficients.
MCM is a special case of vector matrix multiplication with N i = 1, so if N A,MCM adders are needed for an optimal MCM adder graph with N unique coefficients, N A,SOP = N A,MCM + N - 1 adders are needed for the corresponding optimal SOP.
The first pass through the 192 available recording sites therefore requires the development of 191 × 192 = 36672 unique coefficients.
The models that became underidentified did so largely because the structure of these models resulted in the freed coefficients having no unique (freed-coefficient dependent) implications which could potentially be found to be more/ less consistent with the data.
Results show that all of the pads polish wafers in boundary lubrication mode with unique friction coefficient, shear force variance and pad temperature characteristics.
It appears that each OBTM has a unique regression coefficient and lag, indicating the extent of the inaccuracy of the calibration of the thermal response of each sensor.
Coming back to analogy with fracture, we remind that we considered here the case of a slider in continuous motion whose dynamics can be accounted for by taking into account a unique frictional coefficient, independent of the velocity, which however can depend on the direction.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com