The phrase "as a function of the log" is correct and usable in written English.
It can be used in mathematical or scientific contexts to describe a relationship where one variable depends on the logarithm of another variable.
Example: "The growth rate of the bacteria can be modeled as a function of the log of the time elapsed."
Alternatives: "in relation to the logarithm" or "depending on the log".
Figure 2a shows the P values of the tests between phenotypes as a function of the log fold change in gene expression.
Six organic solvents were selected for lycopene extraction as a function of the log P, ranging from 3.76 to 6.31.
Organic solvents for lycopene extraction were selected as a function of the log P solvent, which ranged from 3.76, 4.27, 4.78, 5.8 to 6.31 for heptane, hexane, octane, decane, undecane and dodecane, respectively.
This ratio was multiplied by 100 to obtain the percentage of maximum difference in FLIN and was plotted, where indicated, as a function of the log compound concentration.
Following automatic thresholding and standard baseline adjustments after each run, Ct values were plotted as a function of the log (10) of the cDNA concentration and a linear slope was calculated [56].
This value was plotted as a function of the log compound concentration and the best-fitting curve and EC50 value determined using 4-Parameter Logistic Model/Dose Response/XLfit 4.2, IDBS software.
Open image in new window Fig. 5 Correlation in squared returns as a function of the log-normal volatility of first-period volatility.
The FDRs were estimated from the mixed model regression parameters with one beta distribution (red dashed curves in Figures 3A and B) and can be seen as a function of the log-transformed p-values in Figure 3C for limma (black) and Cyber-T (red).
Goodness of fit of the models was evaluated as a function of the log-likelihood of the model with all parameter estimates and the log-likelihood of the model without the set of covariates.
