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We extend the coherent state transform (CST) of Hall to the context of the moduli spaces of semistable holomorphic vector bundles with fixed determinant over elliptic curves.

In particular, we compute the ζ-determinant ratio for Dirac Laplacian boundary problems in terms of a scattering Fredholm determinant over the boundary.

It consists in the following steps: (1) One integrates the perturbation determinant over a contour and takes limits in the form of the contour to obtain a family of identities.

The non-rigid registration algorithm extended the adaptive bases algorithm (ABA) by incorporating a tumor volume-preserving constraint, which computed the Jacobian determinant over the tumor regions as outlined on the PET/CT images, into the cost function.

We provide those in Sect. 4 and in Appendix A. One integrates the perturbation determinant over a contour and takes limits in the form of the contour to obtain a family of identities.

Total dissolved solids (TDS) and total organic carbon (TOC) were used as macro-indicators and key ions (barium, calcium, chloride, magnesium, sodium, strontium, boron and iron) were compared to TDS with the different frac fluids and there were significant positive correlations observed between the key ions and TDS with relatively high values of the coefficient of determinant (over 0.85).

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Signs of inflammation (such as white spots in the throat) was also found to be a determinant for over-prescribing of antibiotics in another Dutch study [ 5].

Although the changes in CVD risk factors during the short period of follow-up in this study were small, they occur on a background of increased CVD risk (21), and their determinants may over time lead to a more substantial deterioration of cardiovascular risk in diabetic subjects.

The cumulative nature of this result confirms the high persistence and increasing impact of migration determinants over time.

To account for the impact of the change in the exchange rate regime on the relation among interest rates and the selected determinants over this period, a dummy variable is used.

Sequential evolution of determinants over time may be more powerful to predict mortality.

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