Published online by Cambridge University Press: 24 October 2008
The expression
for the number of linearly independent line complexes of degree n in space of r dimensions was derived by Sisam as a particular case in the determination of the number of linearly independent hyperconnexes of given degrees. The purpose of this note is to generalize Sisam's result by determining the number of linearly independent algebraic forms of a special type to which we give the name k-connex.
* Sisam, C. H., Atti Torino, 46 (1911). 481.Google Scholar
* We shall frequently use the symbol to denote the immediate predecessor of (a, j).