Considering the aforementioned exclusion, correlations between variables transformed to natural logarithm
showed that the largest correlation coefficient of LN_TBCOEF10 was with LN_PEROOM (0.
For these models we removed the CPI variable from our base estimations and replaced it with the natural logarithm
of the food price index and the core price index mentioned in the previous section.
All explanatory variables except initial income are country averages for the 1980-2000 period; all are entered as natural logarithms
Figure 1 shows the results (outputs) of the simulation model as a probability distribution function of natural logarithm
of total phosphorus (TP') for each trophic level.
Proportional 95% upper and lower bounds for variance components as a function of the variance of natural logarithms
of the component.
Mathematical operations involving natural logarithms
are the same as shown in Table 1-4.
The mean gonad weight at a constant carapace width for each sex in each month in each water body was determined by using analysis of covariance (ANCOVA) of the natural logarithm
of the gonad weight as the dependent variable, month as a fixed factor, and the natural logarithm
of the carapace width as a covariate.
Finally, we ran a regression of the rate of change of the natural logarithm
of the inflation-adjusted average hourly earnings (i.
The standard ma th functions include power, square root, square, natural logarithms
and exponential, fractional, integer, reciprocal, factorial, and rounding.
I also took the natural logarithms
of the control variables (discussed below).
From 1938 to 1946, 37 volumes of the NBS Math Tables Series were issued, containing tables of trigonometric functions, the exponential function, natural logarithms
, probability functions, and related interpolation formulae (23).
All variables are converted into natural logarithms
, and their first differences are taken.