K-PARTITI0N8 OF N. 145 



think, that the matter is new enough, and difficult enough, to 

 make it worth while that it should be shown, as in this paper, 

 that the problem, which Sir John Herschel has so elegantly- 

 mastered by a somewhat formidable analysis, may be made to 

 yield to more elementary methods. I regret that I have not 

 seen, nor have any means of seeing, so far as I know, within 

 150 miles of Manchester, what Prof. De Morgan has written 

 on this subject in the Cambridge Mathematical Journal, 



