II.—Non-Associative Algebra and the Symbolism of Genetics

1 January 1941

journal article
research article
Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh. Section B. Biology

Vol. 61 (1) , 24-42
https://doi.org/10.1017/s0080455x00011334

Abstract

The statistical material of genetics usually consists of frequency distributions—of genes, zygotes and mating couples—from which new distributions referring to their progeny arise. Combination of distributions by random mating is usually symbolised by the mathematical sign for multiplication; but this sign is not taken literally for the simple reason that the genetical laws connecting the distributions of progenitors and progeny are inconsistent with the laws governing multiplication in ordinary algebra. This is explained more fully in § 2.

Keywords

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