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Finally, we extracted decadal trends by fitting an exponential function (R2 = 0.94) assuming null concentrations at the beginning of the 20th century.
The air exchange rate (AER) was determined by fitting an exponential decay curve to the recorded concentration of indoor-generated CO2.
Long-range organization of correlation patterns (left) is quantified by fitting an exponential decay to the peaks (local maxima) in the correlation pattern as a function of their distance to the seed point, using all correlation patterns.
The relaxation length parameter is an index characterizing the 137Cs penetration through the soil profile, and was determined by fitting an exponential function to the cumulative 137Cs inventory down to a depth of 20 cm in June 2011 (ref. 23).
To avoid error induced by fitting an exponential function, the PCHIP (piecewise cubic hermite interpolating polynomial) procedure is used to interpolate between the points (MathWorks 2015).
R p is then obtained from the time constant (τ c ) and interfacial capacitance (C) as follows: R_{p} = frac{{tau_{c} }}{C} (2) I_{corr} = frac{B}{{R_{p} }} (3) V_{corr} = 0.0116I_{corr} (4 where η 0 and τ c values can be determined by fitting an exponential function to the perturbation (mV) vs time (sec) curve.
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The corresponding time scale can be extracted from the pump-probe transient by fitting a suitable exponential curve to the rising edge of the curve.
Localized tissue transverse relaxation time (T2) is obtained by fitting a decaying exponential to the signals from several spin-echo experiments at different echo times (TE).
This parameter was estimated by fitting a single exponential to the smallest hyperpolarization.
τact was measured by fitting a single exponential function to the slowly activating component of the current response to a voltage step to −123 mV (Figure 5A).
The cell capacitance (CC) was estimated by the formula " I * Τ = CC * V " (i.e. 1st order RC circuit), where Τ is the time constant of voltage variation (measured by fitting a single exponential function).
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