Biological theorems

"Biological theorems" isn't a standard term in biological sciences; however, it could refer to important principles, laws, or theories that govern biological processes and phenomena. Here are a few foundational concepts in biology that could be viewed as "theorems": 1. **Natural Selection**: Proposed by Charles Darwin, this theory explains how evolution occurs. It asserts that organisms better adapted to their environment tend to survive and produce more offspring.

Bet hedging is a biological strategy used by organisms to cope with environmental uncertainty and variability. It involves employing a range of tactics to maximize survival and reproductive success across different conditions, rather than adapting to a single, specific environment. This concept can be understood in the context of evolutionary biology and ecology.

The Bishop–Cannings theorem is a result in the field of topology and set-theoretic topology, specifically relating to the nature of compact Hausdorff spaces. It characterizes the collection of compact subsets of a Hausdorff space in terms of continuous images.

Fisher's Fundamental Theorem of Natural Selection, proposed by the geneticist and statistician Ronald A. Fisher in his 1930 book "The Genetical Theory of Natural Selection," states that the rate of increase in fitness of a population is proportional to the genetic variance in fitness within that population. In simpler terms, the theorem posits that: 1. **Fitness** refers to an organism's ability to survive and reproduce in its environment, which can be influenced by genetic factors.

Lewis' Law, formulated by the American economist William T. Lewis in the 1950s, refers to a principle regarding the distribution of population and economic activities in relation to urban areas. Specifically, it states that there is a tendency for manufacturing jobs and industries to be located closer to the market (urban centers) rather than in rural areas, which leads to urbanization and the concentration of economic opportunities in cities.

The Marginal Value Theorem (MVT) is a principle in optimal foraging theory, which is a branch of ecology that studies how animals search for and exploit food resources. The theorem was developed by ecologist Eric Charnov in 1976. It addresses the decision-making process of foragers—animals that seek food—regarding when to leave a food patch or resource base and move on to a new one.