HISTORICAL SKETCH. 
9 
partition l fc ) would be 0. For example, the coefficient of a 3 a 2 in a function 
of the fifthic would require the multiplier 
gf*! or 10 (11) 
and the complete check for [41] would be 
5-1-1 -5-5- 10 + 1 -20 + 3-30-1-60 + 0-120 = 0 
In general the coefficient of . . . X n ) in the ic-thic would require 
the multiplier 
w\ 
( 12 ) 
He published in 1875 the first ten symmetric function tables, adding 
to the list the eleventhic. They 7 may be found in his “ Theorie der 
Binaren Formen.” In them certain misprints may be noted: the values 
of the coefficients where the misprints occur are here given, 
ing the coefficient of (P) in [Q]. 
Eighthic: 
Q 
signify- 
Ninthic: 
7 They may also be found in the Gottingen Naehrieht (1875). 
