[metzler] some new symmetric FUNCTION TABLES 279 



10. It may be observed that the sum of the numerical coefficients 

 of the p's in -5" «J «., «3 . . . , 2cj c^ Cg . . . etc., is zero, and the sum 

 of these coefficients in 2 b^b. . . . , 2d^ d, . . . etc., is one. That 

 is, the sum of the coefficients in the case of the symmetric functions 

 of those roots, which are the products of the a's taken an even num- 

 ber at a time, is zero ; and the sum in the case of those roots, which 

 are the products of the a's taken an odd number at a time, is one. 



