88 



Mr. Jarrett on Ahebraic Notation. 



Suppose this true for r eliminations, 



then a" = 1 + S---/ ,, ' 





r+l 



r + 1 - s 



n 





- . -.6'-, »(r+l-s).(r *■ 



i+r+l \^ ^ l£ <+>■+! 



S-1 



'^ ) 



m y 



r+ 1-sl 



n J 



^ I'm (a- iV , 



= '"■^''{^-11^ + 

 t 



m un 



Ir+l 



H_ |r+l 



r+l 



(-1)*-' L 



+ 5,,-?^ jlm - i^*.i.SMn(r + l-s).|r . V ^ . — 



I '+' n 



and^'-^'=(a-l)-'-5,^^^^ 



CO ,,t + r + l I _ 1 V-l 



s— 1 



(r+2-s) 



s— 1 t+r+l 



m 'vnV'^' _ \m (a-l)'-+' 

 'n^ |r+l '"[n_' |r+l 



r+l r+l 



111 1 0D7j' + r + i /■_1'\s-l 



\n'\r+\ '< + »•+ 1 



'■+1 



s— 1 <+i+l 



Whence a " = I + ^t*"*-' 



m {a—\Y g m'+''* 



m^" [^ 



+ 5'* 



T7TT-'^'^^+'- 



