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Thus, considerable epistemic uncertainty often veils the true values of these matrices.
Define (X,Y) as the initial ToF data, z ∘ as the distance TOF data after discrepancy correction, and using the index set of amplitude saturated values, a similar procedure to correct the corresponding values of these matrices is applied, obtaining matrices ( X ~, Y ~, Z ~ ), as these values are affected by the amplitude saturation.
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Arguably, the value of these matrices is as much in mapping concepts of God and the world as it is in arguing for a particular option, for they allow a more detailed idea of the views that contradict one's own.
Tables 3 and 4 show the values of these dipole matrix element products with and without Coulomb interaction for the two frequencies considered.
The Gershgorin's circle theorem tells that all the eigen values of the matrix A lie within the union of these discs.
The value of these coefficients and constants depends on the pressure values of the matrix of the preceding time interval.
These factors tend to attenuate small singular values of the matrix Ψ ˜ ˜ and retain large ones.
The first part is to find an initial values of the matrix variables.
The r2 values of the matrix-based linear regression prediction models ranged from 0.9933 to 0.9986.
We take the values of the matrix P equals to 0.5, 1.5, 2 with equal probability.
The squared l2 norm penalizes large values of the matrix, thus alleviating over-fitting.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com