Sentence examples for by the logarithm function from inspiring English sources

Every individual desirability (d i ) of all three effecting factors is correlated perfectly by the logarithm function (Fig. 5).

In [8], a general tone-mapping, represented by the logarithm function, is considered and applied to the luminance of the given HDR image, thus obtaining the LogLuv domain.

The field compaction result of a fine-grained soil at the optimum water content, OWC, shows that initially the dry unit weight increases rapidly with the number of roller passes and the relationship between dry unit weight and number of roller passes is represented by the logarithm function.

The product was further transformed by the logarithm function into a likelihood score.

The sample size was transformed by the logarithm function with base 10 to improve interpretability.

By applying the logarithm function, Eq. (5) is written as, widehat{X}(Y)=arg underset{X}{max}left[-frac{{left Y-Xright)}^2}{2{sigma}_N^2}+f(X)right] (6)where f(X) = log(p X (X)) [33].

For the linearisation part, a constraint, which was non-linear due to the combination of multiplication and division operations, was transformed into a linear form by the use of the logarithm function.

It holds

Second, our preliminary analysis (data not shown) indicated that the logarithm function used by [ 6] to stabilize the variance may be insufficient.

The logarithm function was applied to each value.

The problem's equivalency was maintained due to the monotonicity property of the logarithm function.