Results 1 to 10 of about 2,779,137 (346)

The Fundamental Theorem of Natural Selection [PDF]

Entropy, 2021
Suppose we have n different types of self-replicating entity, with the population Pi of the ith type changing at a rate equal to Pi times the fitness fi of that type. Suppose the fitness fi is any continuous function of all the populations P1,…,Pn.
John C. Baez
doaj   +2 more sources

Fundamental theorem of algebra

Lietuvos Matematikos Rinkinys, 2022
The purpose of the article is to familiarize teachers and students with the fundamental theorem of algebra for real polynomials and its proof. Polynomials of small degrees are considered separately.
Juozas Juvencijus Mačys
doaj   +3 more sources

The fundamental theorem of natural selection with mutations. [PDF]

J Math Biol, 2018
The mutation–selection process is the most fundamental mechanism of evolution. In 1935, R. A. Fisher proved his fundamental theorem of natural selection, providing a model in which the rate of change of mean fitness is equal to the genetic variance of a ...
Basener WF, Sanford JC.
europepmc   +2 more sources

A simple completion of Fisher’s fundamental theorem of natural selection [PDF]

Ecology and Evolution, 2021
Fisher's fundamental theorem of natural selection shows that the part of the rate of change of mean fitness that is due to natural selection equals the additive genetic variance in fitness.
Alan Grafen
doaj   +2 more sources

A fundamental theorem on graph operators

Mathematics Open
A graph operator is a function [Formula: see text] defined on some set of graphs such that whenever two graphs G and H are isomorphic, written [Formula: see text], then [Formula: see text].
Severino V. Gervacio
doaj   +2 more sources

Fundamental theorem on gauge fixing at the action level [PDF]

, 2016
Regardless of the long history of gauge theories, it is not well recognized under which condition gauge fixing at the action level is legitimate. We address this issue from the Lagrangian point of view, and prove the following theorem on the relation ...
Hayato Motohashi, Teruaki Suyama, Kazufumi Takahashi   +2 more
openalex   +3 more sources

HYBRIDIZING HENSEL’S LEMMA, FUNDAMENTAL THEOREM OF ARITHMETIC, AND CHINESE REMAINDER THEOREM FOR SOLVING POLYNOMIAL CONGRUENCES

Barekeng
Polynomial congruence can be solved by applying Hensel’s Lemma. However, Hensel’s Lemma itself does not apply to solving generalized polynomial congruences. The purpose of this research is to determine the recursive formula for the solution of polynomial
Eka Oktaviansyah, Edi Kurniadi, Dianne Amor Kusuma   +2 more
doaj   +3 more sources

Short proof of the fundamental theorem of algebra

Lietuvos Matematikos Rinkinys
High school students may be introduced not only to important mathematical statements, such as the fundamental theorem of algebra, but also to their proofs. This famous theorem has various proofs, and its proofs have various modifications.
Aivaras Novikas, Juozas Juvencijus Mačys   +1 more
doaj   +2 more sources

Joint phenotypes, evolutionary conflict and the fundamental theorem of natural selection. [PDF]

Philos Trans R Soc Lond B Biol Sci, 2014
Queller DC.
europepmc   +2 more sources

On the fundamental theorems of the calculus [PDF]

Transactions of the American Mathematical Society, 1957
I. S. Gál
openaire   +2 more sources