They are again based on the equivalence of shifting with doubling or halving. Eddie locates Vernon's supply and begins ingesting pills daily, eventually doubling and tripling the dosage. Arrhenius calculated the temperature increase expected from doubling to be around . An increase of 10dBs results in a perceived doubling of loudness. Plant development increases dramatically, with the plant doubling or more in size. This is projected to result in a doubling of research funding by 2014. Diminishing returns are achieved with each successive doubling of the insulating layer. It can also be measured in percent per month or in price doubling time. Hence, mathematically, doubling the forecast time more than squares the proportional uncertainty in the forecast. Its use is associated with doubling the rate. The formula above can be used for more than calculating the doubling time. This change allows for the more than doubling of convective heat loss in still air. For example, consider the simple dynamical system produced by repeatedly doubling an initial value. At that rate, prices were doubling every 24.7 hours. Indeed, repeatedly doubling the number of steps eventually produces an approximation of 3.76001.