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A note on k-connexes

Published online by Cambridge University Press:  24 October 2008

W. V. D. Hodge
W. V. D. Hodge
Affiliation:
Pembroke CollegeCambridge
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Extract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 38 , Issue 2 , April 1942 , pp. 129 - 143
Copyright
Copyright © Cambridge Philosophical Society 1942

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References

* Sisam, C. H., Atti Torino, 46 (1911). 481.Google Scholar

* We shall frequently use the symbol to denote the immediate predecessor of (a, j).