Genetic algebra (original) (raw)

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dbo:abstract Eine genetische Algebra hat die mathematische Struktur einer Algebra und kann zur mathematischen Modellierung von Vererbungen in der Genetik verwendet werden. (de) In mathematical genetics, a genetic algebra is a (possibly non-associative) algebra used to model inheritance in genetics. Some variations of these algebras are called train algebras, special train algebras, gametic algebras, Bernstein algebras, copular algebras, zygotic algebras, and baric algebras (also called weighted algebra). The study of these algebras was started by Ivor Etherington. In applications to genetics, these algebras often have a basis corresponding to the genetically different gametes, and the structure constant of the algebra encode the probabilities of producing offspring of various types. The laws of inheritance are then encoded as algebraic properties of the algebra. For surveys of genetic algebras see , and . (en)
dbo:wikiPageExternalLink http://math.usask.ca/~bremner/research/geneticalgebras/etherington/ga.pdf https://web.archive.org/web/20110706211658/http:/math.usask.ca/~bremner/research/geneticalgebras/etherington/ga.pdf
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dbo:wikiPageWikiLink dbr:American_Journal_of_Mathematics dbc:Population_genetics dbr:Peirce_decomposition dbr:Gamete dbr:Structure_constants dbr:Field_(mathematics) dbr:Non-associative_algebra dbc:Non-associative_algebras dbr:Zygote dbr:Flexible_algebra dbr:Power-associative dbr:Springer-Verlag dbr:Hardy–Weinberg_law
dbp:authorlink Sergei Natanovich Bernstein (en)
dbp:first A. (en) Sergei Natanovich (en) Yu.I. (en)
dbp:last Bernstein (en) Lyubich (en) Micali (en) Wörz-Busekros (en)
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dbp:title Baric algebra (en) Bernstein algebra (en) Bernstein problem in mathematical genetics (en) Genetic algebra (en)
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dbp:year 1923 (xsd:integer)
dct:subject dbc:Population_genetics dbc:Non-associative_algebras
gold:hypernym dbr:Algebra
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rdfs:comment Eine genetische Algebra hat die mathematische Struktur einer Algebra und kann zur mathematischen Modellierung von Vererbungen in der Genetik verwendet werden. (de) In mathematical genetics, a genetic algebra is a (possibly non-associative) algebra used to model inheritance in genetics. Some variations of these algebras are called train algebras, special train algebras, gametic algebras, Bernstein algebras, copular algebras, zygotic algebras, and baric algebras (also called weighted algebra). The study of these algebras was started by Ivor Etherington. For surveys of genetic algebras see , and . (en)
rdfs:label Genetische Algebra (de) Genetic algebra (en)
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