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The relaxation of conductivity after exposure to environment is fitted with the formalism to study conductivity relaxation in thin film devices34, 35, (σ 0 − σ t)/σ 0=C − A 1exp −k 1 t) − A 2exp −k 2 t), where σ 0, and σ t represent initial and dynamical conductivity, respectively, k 1 and k 2 depicting the relaxation kinetics.
(a) Regional mean trend (red dots represent initial and final data values), (b) abundance-area (the black line represents the data), (c) box plot (data plot on the left), and (d) Moran's I (the black line represents the data).
Relative fitness was calculated as w = ln (A f / A i ) / ln (B f / B i ), where A and B are the densities of the two competitors, and i and f represent initial and final densities, respectively.
Relative fitness was measured as: w = ln (A f / A i ) / ln (B f / B i ), where A and B are the densities of the two competitors and i and f represent initial and final densities, respectively.
Since the apparent volume of distribution of sodium is the total body water (TBW) [ 42], and the estimated TBW accounts for 60% of body weight [ 43], the expected change in p-Na+ can be treated algebraically as follows: where the subscripts i and f represent initial and final states, respectively.
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Log fragmentation was assessed over one year for log segments of intermediate diameters (>20 – 40 cm) of F. sylvatica, P. abies and P. sylvestris after 8 and 18 years of decomposition (representing initial and advanced decay stages), with three replicates per species and year.
The considered equation, is the superdiffusion fourth-order partial differential equation, which has the following form begin{aligned} frac{partial ^{alpha }v}{partial t^{alpha }}+nu frac{partial ^{4} v}{partial z^{4}}= q z,t),quad zin [a,b]=Omega,quad t_{0}represents initial and final time, respectively.
While the research and assessment tools presented here represent initial explorations and are not biology specific, we suggest that many of the statements presented in the tables are starting points for instructors who wish to investigate and monitor students' affective states during the learning process in their classrooms.
Thus, blue dots represent initial states and dark red dots represent final states in each trajectory.
First a step-function was developed to represent initial (aerobic) and residual (anaerobic) conditions.
IS, TS, and FS represent initial structure, transition structure, and final structure, respectively.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com