The relative sizes of parts of an organism frequently depend on the absolute size of the individual, a relationship that is generally described by power laws. I show here that these power laws are a consequence of the way evolution operates.

This study presents a theoretical analysis of a new combined cooling, heating, and power cycle by the novel integration of an organic Rankine cycle (ORC), an ejector refrigeration cycle (ERC), and a heat pump cycle (HPC) for producing cooling output, heating output, and power output simultaneously. Three different working fluids—namely R113, isobutane, and R141b—have been used in power, ref...

In this work, we investigate invariance analysis, conservation laws, and exact power series solutions of time fractional generalized Drinfeld–Sokolov systems (GDSS) using Lie group analysis. Using point symmetries the Erdelyi–Kober (EK) differential operator, GDSS equation is reduced to a nonlinear ordinary (ODE) order. Moreover, have constructed laws for obtained explicit ODEs that converge. L...

We report on a quantitative analysis of relationships between the number of homicides, population size and ten other urban metrics. By using data from Brazilian cities, we show that well-defined average scaling laws with the population size emerge when investigating the relations between population and number of homicides as well as population and urban metrics. We also show that the fluctuatio...