Mr. Jarrett on Algebraic Notation. 



83 



11 l^ i 5—1 ( 



j/« c _ 1 V~' 



W CY (-1)'"' , I / 



M' 



(_1)»-1 



+ St,^ . ^--^ \^ \ .\r . \n{r+l-s) (Art. 11.). 



^~^ s— 1 (+r 



But ^-^ ^ ^ 



s-1 



. >• . 



i»(r+l-s ) =0, I ; 



t H = r-l' 



and S' 





.: (a- 1)'- = ^- + S,-—.S^. \ _\ .\r . \nir+l-s) , 



, a= u'+'' ( - lV~' 



and uri\' = (a-lY — St,- — .S'S-, -r— -Ir .\n(r+l-s). 



\t+r s — 1 ' — rW-^ 



t+r 



Now a» = (1 +m)"' = 1 + mu + S,\m . 





CO J^'+l 



and MW = (a- 1) - iS, .In ; 



1^ bn 



95 ?/,'+l 



a»=l + ^-.(a-l)+^.^{j^--.g_| 



00 ,,( + 2 



»l , ) 



+ St,- — \lm .In \ 



/ 4- 2 I ' — n ' — ) 



L 2 



