The Indiana University Studies are intended to furnish a 

 means 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 March 27, 1916, at the post office at Bloomington, Ind., 

 under the act of August 24, 1912. The Indiana Uni\ePvSIty Studies are published four 

 times a year. March, June, September, and December, by Indiana University, from the 

 University Office, Bloomington, Ind. 



