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T is friction velocity, m/s; t1/2 is time at which swelling is half the equilibrium swelling, min; A is area of the cylinder, cm; r is radius of the cylinder, cm.
Management of fisheries to achieve maximum sustainable yield (MSY) typically reduces the spawning abundance of a productive sockeye population to less than half the equilibrium level that would be attained if the population were not harvested.
Diffusion, D, of the chemical in the polymer can be calculated as follows: (13) D = T (t / A ) 1 / 2 ; T is friction velocity, m/s; t 1/2 is time at which swelling is half the equilibrium swelling, min; A is area of the cylinder, cm; r is radius of the cylinder, cm.
Similar(57)
The parameter n is the reaction order, α is a fractional time index, qe measures the maximal quantity of solute adsorbed, and a "half-reaction time", τ1/2, can be calculated, which is the time necessary to reach half of the equilibrium.
We introduced a classical Moran process [ 35] with the following parameters: propagule size was 800 molecules, division occurred at the compartment size of approximately half of the equilibrium size (approx. 2.2 mass units of non-food; mass is calculated as concentration multiplied by length) and the population size (N) was set to 100 compartments.
This equation is based on T having a value of 0.049 when half of the equilibrium swelling was achieved as follows: (14) D = 0.049 (t 1 / 2 / 4 x r 2 ) 1 / 2. By applying (14) to the three gel formulations, we found the diffusion rate to be 39.56, 19.65, and 7.51 (×10−5) cm ·min−1 for the formulations of Chito, PEI 10 min, and PEI 8 h, respectively.
The half-adsorption time t1/2 (min) defined as the time required for the adsorption to take up half amount of the equilibrium metal ions was found within the range of 0.54 to 4.03 indicating high affinity between the adsorbate and adsorbent molecules [ 61].
The breadth of the scaled structure function, measured by the full width at half maximum, vs the equilibrium volume fraction agrees very well with the computer simulation of Akaiwa and Voorhees.
Values of 2× and 1/3× the initial Ne and 1/2× and 2× the initial u/v were chosen to give pu:up fixation ratios of approximately half and double the equilibrium values for an initial MCU of 0.7.
for (half) the difference between equilibrium magnetisation M 0 and the instantaneous value M t) at time t after complete inversion, i.e. m(0)=M 0and m=0 at equilibrium.
The fluorescence recovery after photobleaching (FRAP) data curves were fitted with a biexponential decay model in Origin 7, and the half equilibrium times t1/2 were derived from the fit curves.
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