The mean value formula 79, calculated from this distribution, diverges logarithmically. Aqueous solubility of PAHs decreases approximately logarithmically as molecular mass increases. This profile has a finite gravitational potential even though the integrated mass still diverges logarithmically. Perceived "loudness" varies approximately logarithmically with acoustical output power. The intensity of radiation was logarithmically proportional to the Lorentz factor of the particle. Finally, the sequence formula 32 converges sublinearly and logarithmically. Since fermion masses are logarithmically divergent, scalar masses inherit the same radiative stability. In 1931, Erik Westzynthius proved that maximal prime gaps grow more than logarithmically. Therefore the squaring function is not logarithmically convex. However, being logarithmically convex is a strictly stronger property than being convex. The attenuation values of ND filters are specified logarithmically. When the temperature profile is adiabatic, the wind speed should vary logarithmically with height. Aging decreases logarithmically with time, the largest changes occurring shortly after manufacture. A polydisc is an example of logarithmically convex Reinhardt domain. When measured in decibels it is logarithmically related to the power ratio&colon; "G"(dB)=10 log("P" /"P").