Exact(2)
Fitting the dwell time distribution to a single exponential yields an average lifetime of 17.5 ± 0.6 ms, independent of ATP concentration.
As might be expected given the close correspondence of the distributions for advantageous nonsynonymous mutations, the fit of the distribution of positive (0 < S < 5) selective coefficients for the three bootstrap data sets to an exponential yields values (β ¯ = 0.953 ) similar to that obtained with the real mitochondrial data (β = 0.924).
Similar(58)
Lower T 0 gives a higher viscosity contrast Δ η Arr. Figure 28 Critical yield stress gradient τ y,c r′ as a function of θ. Figure 29 The ratio of Arrhenius yield stress to exponential yield stress R τ as a function of Frank-Kamenetskii parameter θ. Figure 30 The ratio of Arrhenius yield stress gradient to exponential yield stress gradient (R_{tau ^{prime }}) as a function of θ.
Fitting the measurements to a single exponential yielded 1.1 s−1 for the dissociation rate of AIP1 from the lamellipodial actin network.
Treating such T1 relaxation data with a double exponential function yields the coefficients for these terms with different T1 values and thus the relative populations for chain segments on the inner and outer vesicular wall surfaces.
As r > 0, the above inequality along with the fundamental properties of exponential function yields 1 r [ e r ( f ( x ) − f ( u ) ) − 1 ] < 0. The above inequality together with the assumption that f is ( H p, r ) -invex at u, gives ∇ f ( u ) e u T H p ′ ( x, u ; 0 + ) < 0. (5).
Now, for the r.h.s. of (20), the computation of the fractional derivative operator applied to the exponential function yields D z − 1 z ( ρ + 1 ) n + ρ e z = ∑ k = 0 ∞ D z − 1 z ( ρ + 1 ) n + ρ + k k !
Comparing coefficients with the above series of the exponential function yields the desired Taylor series : \frac{e^x}{\cos x}=1 + x + x^2 + {2x^3 \over 3} + {x^4 \over 2} + \cdots.\!
Indeed, an exponential fit yields significant p-values for both low and high threshold.
Fitting the data to a simple exponential equation yields an observed time constant of 20 h.
In Figure 3A, an exponential GFP yields response was observed with 2,2'-dipyridyl in the range of 0 to 200 μM, which culminated in a wide range of GFP synthesis with the relative fluorescence units from 350 to 13520.
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