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The discretized form of localization was published some 20 years ago but was primarily used for strain localization (and stiffness homogenization).
Further, evidence for enhanced lip formation under dynamic indentation conditions has been obtained, pointing to some form of localization of plastic flow underneath the impacting ball unlike in the case of static indentation.
Existing sensor- and robot agent-based pipeline monitoring systems rely on some form of localization method to locate events and support motions of the sensors/agents, e.g., signal triangulation [4], signal cross-correlation [6], beacon interpolation [18], number of wheel rotations [15], pipe-joint location and counting [19], EM-sonde locating [19], and blueprint of the pipeline [17].
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The form of localization-of-function argument appears not to have changed from that employing lesion studies (as analyzed by Von Eckardt).
The convergence criteria and affecting parameters, i.e. spatial and temporal window size, and specific forms of localization function are found to be different between the two systems.
Yet, the different forms of localization of HP1α were not accompanied by an altered nuclear distribution of H3K9me3 (Fig S4B in Supporting Information), and the different patterns of HP1α staining do not seem to be associated with specific stages of the cell cycle, as detected by staining for cell cycle markers (Fig S4C in Supporting Information).
Of course, the detailed form of the localization depends on the type of disorder potential considered and its energy spectrum.
Increasing magma vesicularity affects the bulk viscosity of the bubble-melt suspension and has the potential to promote non-Newtonian behavior in the form of shear localization or brittle failure.
Those effects occur at the frequencies close to the nearly real scattering resonance poles, and the forms of wave localization near the notches are predetermined by the eigenforms associated with these poles.
Fatigue crack initiation (and propagation) can occur in different ways and is frequently preceded by some form of cyclic strain localization.
A closed form of the attainable localization accuracy has been derived and provides a useful tool for system design and layout optimization.
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