Sentence examples for a logarithmic equation from inspiring English sources

The KE-I relationships included three exponential equations (Brown and Foster, 1987 (BF); McGregor et al., 1995 (MG); van Dijk et al., 2002 (VD)), a logarithmic equation (Wischmeier and Smith, 1958 (WS)) and a linear equation (Hudson, 1961 (HU)).

Analysis of the data showed that distribution pattern of nitrobenzene in the stagnant water column followed a logarithmic equation CNB = a ln(t) + b, and in disturbed flowing water, the distribution pattern of nitrobenzene followed a negative exponential regression equation CNB = Ne−Mt.

A lot of researchers introduced relationship between compressive strength and time of curing in water with a logarithmic equation by (Popovics 1998): (a, b are constant coefficients).

The best fit of the data, however, was obtained using a logarithmic equation (y = 0.0002Ln(x) +0.0014; r = 0.82), indicating an accelerated rate of evolution from past to present.

In fact, in our sample set, the observed size increase of the ISG15VS-DUB adducts based on SDS-PAGE very closely matched a logarithmic equation (Figure 3A and see Methods).

The observed size of ISG15VS-adducts in SDS-PAGE (8%) followed a logarithmic equation

The main finding was that an original, empirical, and simple equation between the efficiency R and the flow rate Q is established: R = K′∆VQ−n where n ≈ 0.5 or Log R = Log (K′∆V)−n Log (Q), a linear logarithmic equation between R and Q.

A combination of the logarithmic equation P = 1/bln (abt + 1) to model the hydrolysis time course with the response surface methodology to correlate the kinetic constants a and b with the operating conditions: protein concentration, enzyme concentration and temperature were achieved.

The logarithmic equation was a very good fit with the hydrolysis time courses, with both substrates achieving R2 > 0.995.

By using a logarithmic linear equation to explain the relationship between CO2 emissions and their influence factors, a hybrid model to forecast the "natural" development of the explanatory variables, and emission-relative data from 2001 to 2013 to estimate the equation parameters, five scenarios are designed, and the CO2 emissions of each scenario are forecasted for the period of 2016 2030.

The model used in estimating branch biomass which is later used as a dependent variable in the test population, was a logarithmic model (Equation 2).