Point binomials and multinomials in relation to Mendelian distributions / by John Brownlee.

  • Brownlee, John, 1868-1927.
Date:
[1912]
Catalogue details

Licence: In copyright

Credit: Point binomials and multinomials in relation to Mendelian distributions / by John Brownlee. Source: Wellcome Collection.

Provider: This material has been provided by The University of Glasgow Library. The original may be consulted at The University of Glasgow Library.

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    each acting part of the combination can be read at a glance. This will take up a little more space in printing, but the greater clearness will more than compensate. So much for notation. There is, however, also a very easy use of symbolical multiplication which allows of the numbers of each special combination being immediately written down. As the generation is a complete picture of all possible combinations, this generation can always be at once written down directly. If aa hh and AA ! BE I are two races where a changes with A and h with B, we have the stable race, as far as (aa) and (AA) are concerned, represented by (aa) + 2(«A) + (AA); likewise that of (hh) and (BB), represented by (66) + 2(6B) + (BB). If these be multiplied symbolically together, the numbers of any com- bination can be at once seen. Thus those combinations containing the element (aa) are aa aa aa 2 hh 6B BB and likewise the same holds for the other two terms. In the same way symbolical multiplication may be applied to the mating of special cases. Thus, take the case given by Bateson on p. 193 of the current number of the Journal of Genetics, where the mating of (F/ P/) li ff Pp K) is discussed. Here, writing each gamete in columns, we have for the first eight possible gametes of the first parent / P, F F F F f / f P, P, P, P, P, p, I i I i 1 i I and for the four possible gametes of the second parent, each duplicate, / P, / / / p, p. p, I I i