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Furthermore, using an Implicit function theorem, we get a bound on the norm of this gradient.
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Kreisselmeier Steinhauser (KS) function constructed by means of Boolean operations is adopted as the LSF, which uses an implicit function to ensure a smooth description and topological changes of basic features and the whole structure.
In a simplified form for presentation purposes, the DDE. with α ( t, x ( t ) ) the (eventually state-dependent) time-lag function, is solved using an implicit Runge-Kutta method called RADAU IIA [33].
A fully implicit method is used with a high-order accurate time integration using an implicit Rosenbrock method.
using an implicit ODE solver.
However, neither a small parameter nor an implicit function argument is used.
The proof of the PMP is based on needle-like variations and uses a conic implicit function theorem (see, e.g., [1, 52, 78]).
In recent years, Popa [26] have used implicit functions rather than contraction conditions to prove fixed point theorems in metric spaces whose strength lie in their unifying power, as an implicit function can cover several contraction conditions at the same time, which include known as well as some unknown contraction conditions.
It is expressed as an implicit function LeastPositionedSelectedGatewaysAssignedBackups.
It is an implicit function of the operating pressure.
Fixed P d provides an implicit function about u3i and u2i whose range is limited in the Appendix.
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