Sentences with phrase «logarithmic units»

The formulae in this article are exact if logarithmic units are used for relative changes, or equivalently if logarithms of indices are used in place of rates, and hold even for large relative changes.

Most elegantly, if the natural logarithm is used, yielding the neper as logarithmic units, scaling by 100 to obtain the centineper yields units that are infinitesimally equal to percentage change (hence approximately equal for small values), and for which the linear equations hold for all values.

Not exact matches

Yes of course — the main variation is that, at any one moment in time, each unit increase of atmospheric CO2 has less radiative forcing than the last, following the logarithmic proportionality discussed earlier.

Yes, the pH scale is logarithmic and the concentration of H + (written as [H +] or [H3O +]-RRB- is 10 times greater if 1 pH unit lower.

Figure 4.12 shows the logarithmic dependence of unit optical thickness on CO2 level (expressed there in terms of CO2 paths).

We know that the warming effect of atmospheric carbon dioxide is logarithmic (meaning each additional unit has less effect than the one preceding) and estimates of warming due to increased carbon dioxide since the Industrial Revolution are really quite small.

«The proportionality of warming to cumulative emissions depends in part on a cancellation of the saturation of carbon sinks with increasing cumulative emissions (leading to a larger airborne fraction of cumulative emissions for higher emissions) and the logarithmic dependence of radiative forcing on atmospheric CO2 concentration [leading to a smaller increase in radiative forcing per unit increase in atmospheric CO2 at higher CO2 concentrations; Matthews et al. (2009)-RSB-.

The effect of a unit of water vapor is logarithmic and diminishes as total concentration increases.

The pH scale is logarithmic, so a change of 1 unit corresponds to a 10-fold change in hydrogen ion concentration.