Working under this theory, population geneticists represent different alleles as different variables in mathematical models. The Hardy-Weinberg principle assumes conditions with no mutations, migration, emigration, or selective pressure for or against genotype, plus an infinite population while no population can satisfy those conditions, the principle offers a useful model against which to compare real population changes. The theory, which later became known as the Hardy-Weinberg principle of equilibrium, states that a population’s allele and genotype frequencies are inherently stable- unless some kind of evolutionary force is acting upon the population, neither the allele nor the genotypic frequencies would change. In the early twentieth century, English mathematician Godfrey Hardy and German physician Wilhelm Weinberg stated the principle of equilibrium to describe the genetic makeup of a population. Define the Hardy-Weinberg principle and discuss its importance.