Results 1 to 10 of about 646,451 (325)
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
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
Short proof of the fundamental theorem of algebra
Lietuvos Matematikos RinkinysHigh 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 +1 more
doaj +3 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 +1 more source
Fundamental Homomorphism Theorems for Neutrosophic Triplet Module [PDF]
Neutrosophic Sets and Systems, 2021 In this chapter, our aim is to prove neutro-isomorphism theorems. We define the quotient NT quotient Module and prove the fundamental theorem of neutro-homomorphism. Also, we present and prove the first neutro-isomorphism theorem for neutrosopfic triplet
Mohammad Abobala +2 more
doaj +1 more source
Fundamental Theorem of Calculus: an epistemological analysis
Amazônia, 2022 In this article, we present an epistemological analysis based on a literature review about the development of the Fundamental Theorem of Calculus over time, through problem solving by mathematicians since Antiquity.
Patrícia Benevides de Oliveira +1 more
doaj +1 more source
Gadget structures in proofs of the Kochen-Specker theorem [PDF]
Quantum, 2020 The Kochen-Specker theorem is a fundamental result in quantum foundations that has spawned massive interest since its inception. We show that within every Kochen-Specker graph, there exist interesting subgraphs which we term $01$-gadgets, that capture ...
Ravishankar Ramanathan +5 more
doaj +1 more source
Formalization of the Equivalence among Completeness Theorems of Real Number in Coq
Mathematics, 2020 The formalization of mathematics based on theorem prover becomes increasingly important in mathematics and computer science, and, particularly, formalizing fundamental mathematical theories becomes especially essential.
Yaoshun Fu, Wensheng Yu
doaj +1 more source
The Fundamental Theorem of Algebra in ACL2 [PDF]
Electronic Proceedings in Theoretical Computer Science, 2018 We report on a verification of the Fundamental Theorem of Algebra in ACL2(r). The proof consists of four parts. First, continuity for both complex-valued and real-valued functions of complex numbers is defined, and it is shown that continuous functions ...
Ruben Gamboa, John Cowles
doaj +1 more source
The didactic transposition of the fundamental theorem of calculus
REDIMAT, 2023 Using the tools of praxeological analysis and didactical transposition analysis, the treatments of the Fundamental Theorem of Calculus in one Norwegian, Grade 13 textbook is analysed, with a particular focus on the development of the logos block of the ...
Vegard Topphol
doaj +1 more source