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The constitutive behavior of elastic materials is described by an equation relating equivalent stress to equivalent strain.
We use physical arguments to interpret experimental results which allow derivation of a simple dimensionless equation relating equivalent size to physical parameters.
We present strong arguments that the first principal component represents the Baldwin effect, relating equivalent widths to the luminosity (i.e. accretion rate).
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The difference of the equivalent stresses associated with concrete coating treatments correspond to the related equivalent residual stress alterations.
All these effects and the related equivalent static forces may be evaluated through one non-dimensional quantity referred to as the 3-D GEF, whose expression was found in closed form.
According to the proposed method, the peak story drifts obtained from the response spectrum analysis (RSA) can be resolved into their translational and rotational components, and the related equivalent static lateral forces and torsional moments can be calculated.
Each model was tested using either (1) an actual phylogenetic hypothesis for one taxon (plants or insects), assuming equal branch lengths (see Methods), or (2) a "star-shaped" phylogeny with all species equally related, equivalent to a conventional non-phylogenetic analysis or (3) using reduced major axis (RMA) regression without any phylogenetic adjustment.
Two different techniques for measuring the strain-rate sensitivity (SRS) exponent, m, of the power law relating the equivalent flow stress and the equivalent plastic strain rate are analyzed, paying special attention to the errors induced by the thermal drift rate and by the indentation-size effect.
The current vector plots for PC-1 are shown in Fig. 4b, which helps to trace the nature of the CEJ-related equivalent current system.
Specifically, two actors are deemed regularly equivalent if they are equally related to equivalent others.
A regression equation has been proposed to relate the equivalent thickness to these parameters.
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