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The following indices; Salinity Index (SI), Normalised Salinity Differential Index (NSDI) and Normalised Differential Vegetative Index.
A key step in the unification is an extension of the notion of differential index of exactly determined systems of equations to overdetermined systems of equations.
Subsequently, system theoretical properties (e.g. the differential index of the resulting differential-algebraic equation system) of the derived models are analysed.
For that purpose, the relation between the differential index of the DAE system and the spectral properties of the underlying adsorption equilibrium is established.
In particular, it is shown that real and positive eigenvalues of the Jacobian of the underlying conservation equations will lead to a differential index of one.
In simulation and estimation literature, related theories about differential index have been developed and, also there, structural methods have been successfully applied for simulating large-scale differential algebraic models.
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Maggiori builds exchange rate and interest rate differential indices for the US dollar using the MSCI World country weights incorporating 24 developed economies.
Moreover, we focus on the case in which the initial value f 0 has different regularities with respect to the x and v variables, i.e., they have different integral and differential indices.
A second main contribution is how differential-index can be used in diagnosability analysis and also in the design stage where an exponentially sized search space is significantly reduced.
We used a regression tree model to examine the nonlinear relationships between LST and each of three satellite-based indices within the UHI clusters: normalized differential vegetation index (NDVI), normalized differential build-up index (NDBI), and normalized difference bareness index (NDBaI).
Together with Differential Sector Index (DSI) and Opposite Sector Index (OSI), CSI helps to differentiate between normal corneas (low value), regular astigmatism (low value), peripheral steepening keratoconus (low-middle value), and central steepening keratoconus (high value) [ 13].
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