On the Foundations of Combinatorial Theory. Iv. Finite Vector Spaces and Eulerian Generating Functions
Download or Read eBook On the Foundations of Combinatorial Theory. Iv. Finite Vector Spaces and Eulerian Generating Functions PDF written by Jay Goldman and published by . This book was released on 1970 with total page 52 pages. Available in PDF, EPUB and Kindle.
Author | : Jay Goldman |
Publisher | : |
Total Pages | : 52 |
Release | : 1970 |
ISBN-10 | : OCLC:227588950 |
ISBN-13 | : |
Rating | : 4/5 (50 Downloads) |
Book Synopsis On the Foundations of Combinatorial Theory. Iv. Finite Vector Spaces and Eulerian Generating Functions by : Jay Goldman
Book excerpt: The paper studies combinatorial aspects of the lattice of subspaces of a vector space over a finite field and its use in deriving classical and new q-identities. Set theoretic interpretations of these identities are given in terms of the enumeration of vector spaces and linear transformations. The incidence algebra of a partially ordered set is shown to be a true generalization of the notion of a generating function and Eulerian generating functions are applied to count a variety of vector space objects. Combinatorial interpretations are provided for general q-difference equations. (Author).