English to Polish Science Mathematics & Statistics

Bacteria, mice, elephants, sequoias, and blue whales may look different, but most of their fundamental characteristics, including energy and resource use, genome length, and life span, follow simple mathematical rules. These take the form of so-called power-law scaling relationships that determine how such characteristics change with size. For example, metabolic rate equals mass to the ¾ power. Put simply, the scaling law says that if an organism’s mass increases by a factor of 10,000 (four orders of magnitude), its metabolic rate will increase by a factor of only 1,000 (three orders of magnitude).

We did indeed find that cities manifest power-law scaling similar to the economy-of-scale relationships observed in biology: a doubling of population requires less than a doubling of certain resources.

Jakos nie moge nigdzie znalezc znaczenia power law... wiem ze powinny to byc w zasadzie dwa pytania, ale wydaja mi sie tak ze soba powiazane, ze chyba sensowniej zadac jako jedno...