PEIMARY AND SECONDARY REDUPLICATION 



SERIES. 



By p. G. bailey, M.A. 



{Glare College, Cambridge.) 



In a recent paper, Trow (4) discusses theoretically the possible 

 interactions of the factors making up a three-factor group of such 

 a nature that any two may form a reduplicated series. He shows 

 that if the three factors of such a group have the primary reduplication 

 series 



l\\:\:l 



m \1 \\ : m 

 n \\ :\ : n, 



then the secondary or observed reduplication series will be 

 Imn -f- I : m 4- n : m + n : Imn + I 

 Imn 4- m : I -\- n : I -{- n : Imn + m 

 Imn + )i : I +m : I -\- m : Imn -\- n. 



He further points out that if n becomes 1, that is if there is no 

 primary reduplication series between one of the pairs, the series become 



I : 1 : 1 : I 



m : 1 : 1 : m 



lm-\-l : l-^ m : I -\- m : lm-{- 1. 



For the convenience of reference the former series will be called Trow's 

 general hypothesis ; the latter series Trow's special hypothesis. 



There exists, also, the possibility to which Punnett (3) calls 

 attention, namely that the primary reduplication series, obtained 

 by analysis as above of the facts observed when three factors are 

 involved, differ from the reduplication series found when only two 

 factors are involved. In order to avoid confusion it is desirable that 

 the three possible series should be given distinctive names. In this 



Journ. of Gen. iii 15 



