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Regenerative chatter is a function of empirical cutting coefficients, and the structural dynamics of the machine-tool system.
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All the known analytical model selection criteria can be written as a function of the empirical risk penalized by the measure of the model complexity.
In contrast, a Badapple score is a statistic, an algebraic function of empirical, historical data.
The confidence that we have in these concordant patterns is really a function of how often empirical evidence corroborates their occurrence.
When the 2-dimensional error function is plotted as a function of λ and k, empirical observations confirm that resulting surfaces tend to be flat around the minima (Figure 2a).
Figure 3 shows a scatter plot of the mean ORR as predicted by the 2-agent approximation (ORR2) as a function of the mean ORR empirical estimates (ORR0).
Only an active being can therefore have knowledge, and the principal function of empirical knowledge "is that of an instrument enabling transition from the actual present to a future which is desired and which the present is believed to signalize" (Lewis (1946), 4).
All the data collapse onto a master curve when plotted in terms of dimensionless numbers involving a characteristic length which is a function of R. We deduce an empirical model for the flow characteristics in such a case.
We set the population size N as a function of L, based on the empirical correlation between genome size and population size as genomes increase in length, populations tend to shrink such that N=1 uL )−1, where the base pair mutation rate u remained constant at 10−9for all simulations [ 27, 28].
The 'exploratory function' of empirical research is also dependent on normative-ethical presuppositions which decide if and in what sense the empirically identified issue can be seen as an ethical problem and not as a practical problem of another origin.
Experimental standard molar volumes were correlated as a function of temperature and pressure using an empirical polynomial function.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com