Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 2)

188 REMARQUES SUR LA NOTATION DES FONCTIONS ALGÉBRIQUES. [134 
En introduisant dans cette notation les coefficients, j’écris par exemple 
(a, b, c, âffx, y) 3 , 
pour représenter la fonction 
ax 3 + 3 bx 3 y + 3 cxy 1 + dy 3 , 
tandis que je me sers de la notation 
(a, b, c, d\x, y) 3 , 
pour représenter la fonction 
ax 3 + bx*y + cxy 1 + dy 3 , 
et de même pour les fonctions d’un degré quelconque. J’ai trouvé cette distinction 
très commode. 
[In the foregoing Paper as here printed, except in the expression in the second line of this page, 
)( is used instead of )~( : it appears by a remark (Crelle, t. lx, errata) that the manuscript had the inter 
laced parentheses . Moreover in the manuscript ( ) was used for a Matrix, which was thus distinguished 
from a Determinant, but in the absence of any real ambiguity, no alteration has been made in this respect. 
In the reprint of subsequent papers from Crelle, the arrowhead )( or ^ is used instead of (ff . ]
	        
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