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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.
Based on the differential index, nine datasets demonstrated poor performance given their small differential indices (<9%), which included the four datasets identified as having high N/A rates (Additional file 1: Table S2).
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A high-performance breast cancer test dataset has a large differential index (≥9%), indicating a low percentage of significant P values from the 37,000 random signature simulations and a high percentage of significant P values among the top 37 signatures.
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.
Equation (2.1) is a semi-explicit autonomous differential-algebraic equations with differential index 1, (frac{xE}{1+mx}) is the harvesting function with constant m being related to the handling or processing time [17, 19].
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