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Moreover, by working with the Heaviside choice, as in (1), we will be able to build on the interface approach of Amari [21] to obtain explicit results for travelling fronts and bumps, and their dependence on the threshold noise structure.
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The model captures salient features of the experimental record including: the existence of a threshold nominal field for the onset of fatigue; the dependence of the threshold on the applied-field frequency; the dependence of fatigue life on the amplitude of the nominal field; and the dependence of the coercive field on the size of the component, or size effect.
This intrinsic dependence of the threshold on R is an outcome of source limited plasticity at low R values and plastic shakedown at higher R values.
Also, an analysis on the threshold voltage variation is carried out, showing that the stress affects the dependence of the threshold voltage on the temperature.
The dependence of the threshold thickness on some key parameters was investigated and the associated effect on the optical performance by changing these key parameters was also studied.
Fejer et al. (1999) made a statistical analysis, based on measurements of the Jicamarca radar from 1968 to 1992, to study the effects of the PRE on the generation of ESF and to determine the dependence of the threshold PRE values on season, solar cycle, and magnetic activity.
Considering the complex dependence of the threshold domain size on various hurricane parameters, a polar graphic chart is created for estimating the threshold domain size for possible hurricane landfall directions and RMWs.
The dependence of the threshold pulse energy on the number of pulses can be described according to [ 40]: where N is the number of pulses and k describes the strength of the accumulation.
The relative constancy of electrochemical measurements below thresholds, and the dependence of the thresholds on surface conditions, suggests that rebar depassivation is likely caused by local critical chemical conditions at the steel surface.
We note: (1) the dependence of the thresholds on the mean and standard deviation through the coefficient of variation (CV); and, (2) that defining thresholds based on absolute relative changes results in thresholds which require larger %-decreases for statistical significance (but smaller %-increases).
With the modified Ti:sapphire laser model, the dependences of the threshold and slope efficiency on the ring cavity and crystal parameters are studied through the numerical calculations, which clarify the roles of various parameters in affecting the output power.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com