- author = "Claude Elwood Shannon",
- title = "An Algebra for Theoretical Genetics Ph.D. Dissertation, Massachusetts Institute of Technology, 1940.",
- booktitle = "Claude Elwood Shannon. Collected Papers",
- publisher = "IEEE Press",
- year = "1993",
- editor = "N. J. A. Sloane and Aaron D. Wyner",
- pages = "891--920",
- keywords = "genetic algorithms, genetic programming",
-
DOI = "
10.1109/9780470544242.ch76",
- size = "30 pages",
- abstract = "In this thesis, an algebra is constructed for studying the dynamics of Mendelian populations. The symbols of the algebra represent groups of individuals or populations. The indexed symbol AJi. for example, represents a population in which two gene loci are under consideration (the number of loci corresponds to the number of pairs of indices). The number of allelomorphs in each locus is completely arbitrary, as is the recombination value for the loci. The different components of a population symbol, represented by fixing the indices at specific values, are numbers whose values correspond to the fractions of the population with certain genetic formulae. It is convenient in some cases to consider as populations symbols whose components are negative or even complex. Such symbols cannot, of course, represent an actual group of individuals and are called unrealisable populations, but their use sometimes facilitates the solution of problems.",
-
notes = "also known as \cite{5312088}
Advisor: Vannevar Bush",
