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Indeed, America may quietly be helping create useful conditions.
Now, we give useful conditions for the existence and uniqueness of a tripled common fixed point.
In particular, we present some useful conditions involving set-valued mappings as well as the new concept of α-contractive schemes.
A limiting factor in the application of these methods is the lack of useful conditions guaranteeing convergence to the global minimum; several adaptive control algorithms suffer from the same limitation.
With the help of a new established differential inequality with distributed time-delay, several useful conditions to guarantee the global exponential synchronization of the complex dynamical network with mixed delays.
Electrochemical, scanning electron microscopy (SEM) and atomic force microscopy (AFM) studies show the formation of a nanoporous thin film and sharp nanostructure edges on the gold electrode that considerably enhances electrocatalysis of HCF and provides useful conditions for the electroanalysis by the modified electrode.
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Reforms won't do, and no one can expect him to relinquish his fortune until there has been "systemic change on a global scale" (a useful condition that last one).
We are now presenting a useful condition.
A useful condition of proving the convergence of cascade algorithms is described in the following lemma.
A period of solitude after consultation and self-education is a useful condition in which to make up one's mind about treatment options.
We show that asymptotic contractiveness is not only a useful condition for showing the existence of a fixed point, but also a necessary condition for the existence of a globally stable fixed point.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com