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In exchange for simplifying the path sampling, each classical path's contribution gains a determinant term dependent on the path and its environment.
Tunable parameters β and λ are used to control the contributions of the L2 norm term and log determinant term in the cost function, respectively.
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Though K diminishes when score normalization is applied, we could calculate the two log-determinant terms easily by using the property of eigenvalue decomposition.
Since the calculation of the determinant involves terms up to the fourth power, the dynamic range of the determinant can reach up to 48 bit.
Variations of particle size due to the precursor's nature were found to be determinant in terms of the spectroscopic variations.
Using some classical results from complex analysis we obtain some trace formulae and use them to estimate zeros of the Fredholm determinant in terms of the potential.
On the other end of the experience spectrum, teachers who had been teaching longest were more interested in seniority as being a determinant in terms of workforce reduction".
Finally, the Laplace expansion expresses the determinant in terms of minors, i.e., determinants of smaller matrices.
The balance between these two groups will be an important determinant in terms of resource allocation.
Mouse models of Hg-induced autoimmune disease suggest that cytokine regulation is an important determinant in terms of pathophysiologic outcome (Bagenstose et al. 1999; Haggqvist and Hultman 2005; Hu et al. 1999).
We establish existence and a formula for the associated zeta-determinant in terms of the Wronski-determinant of a fundamental system of solutions adapted to the boundary conditions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com