The Indiana University Studies a/re intended to furnish a 

 mecms for publishing some of the contributions to knowledge made 

 by instructors and advanced students of the University. The 

 Studies are continuously numbered; each number is paged inde- 

 pendently. 



Entered as second-class matter, June 14, 1918, at the post-oflBice at Bloomington, Ind., under 

 the act of August 24, 1912. The Indiana University Studies are published four times a year, 

 in March, June, September, and December, by Indiana University, from the University Office, 

 Bloomington, Ind. 



