Convex hull volumes for extant taxa produced here required scaling exponents of between 1.18 and 1.91 (electronic supplementary material, tables S1 S6, and figures S8 and S9) to reach actual measured body masses, with three animals (American alligator 1.69; guineafowl 1.91; leghorn chicken 1.87) requiring exponents greater than that applied in our 'maximal' models (figure 1).
Before the BCPE model was applied, the time axis also required a power transformation (exponent λ) to better capture periods of rapid change [ 4, 5, 14, 16].
The path loss exponent required by the algorithm, η, was determined from RSS measurements in a range distance from 10too 100 m, in steps of 10 m.
In the present paper, a dynamic formulation is developed to obtain the required power-law exponent from test-filtering the resolved scales during the simulation.
Although some non-linear behavior was present for crosslinked BSA and tissues, especially at lower frequencies, perfect linearity was not expected since it would require the power law exponent to be exactly ½ and the frequency independent component to be negligible.
Since multiplying variables with exponents requires you to add the exponents together, it is essential that you include a power of 1. Add your exponents to determine the answer.
The time exponent b (required to utilize Equation 10 for SUV correction) was set to the value of 0.313, resulting from the hyperbola fit to the AIF data from the dynamic liver metastases investigations (Figure 2). Figure 4 shows the values of Δ SUR and δ SUR obtained for the dynamic liver metastases data and the two chosen time points T=20 min (A, B) and T=35 min (C, D).
The coagulation becomes more severe to require a smaller exponent a with increasing particle concentration because of the decreased inter-particle distance.
Since SNAPI protocol required that the RSA public exponent should be a larger prime than RSA modular, it is not practical.
Since the Lyapunov exponents are not required for the calculation, this method is effective and convenient to synchronize two identical systems and two different chaotic systems.
That greater mass leads to greater turn radii, because the forces that animals can exert for a turn relate to a mass exponent of less than one, whereas the forces required for a turn scale to a mass exponent of one has not, to our knowledge, been previously discussed.
