MAJOR i'. A. MA.-MAHON ON THE COMPOSITIONS OF NUMBERS. 95 



and also between the forms 



9ci 



which must now be set forth in a regular manner. 

 The former relations are of the type 



this follows directly from the definition of the form N { }, since 



K (a&c...) = N( 

 Art. 46. The latter relations are of the type 



which also follows directly from the definition of the form <f> c { }, since 



4 c (et&c...) = C(afcc...). 

 Art. 47. We have other linear relations of the type 



In fact, the law may be taken to operate as between any sets of consecutive 



tor8lQ , ^ N { } and 



leaving the remaining factors untouched. 



factor8lQ , ^ N { } and ^ c { } respectively, 



