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Genetic algebras

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2011
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Abstract (EN)

An algebra with genetic realization is an algebra A over the real numbers R which has a basis {a1,a2,a3,?,an} and a multiplication table aiaj = ? ijk ak , such that0 ? ? ijk ? 1 for all i , j, k and ? ijk =1 , for i,j=1,?,n. In a general algebra A with genetic realization, an element x in A represents a population or a gene pool for a population,if its expression as a linear combination of the basis elements a1,a2,?,an , x = ?1a1+?2a2+??nan , satisfies 0 ? ?i ? 1 for all i=1,..,n and ?i=1.Then ?i is the percentage of the population x which carries the allele ai .In this thesis , we have shown the genetic algebras as Mendelian genetic algebras and Nonmendelian genetic algebras

Author

Gülsüm Tuğçe Mucuk

How to Cite

Gülsüm Tuğçe Mucuk (Master Thesis). Genetic algebras, 2011, Çukurova University.

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