𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Simple proofs of identities of MacMahon and Jacobi

✍ Scribed by M.D. Hirschhorn


Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
101 KB
Volume
16
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A Simple Proof of an Identity Concerning
✍ A.W.M. Dress; W. Wenzel πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 348 KB

In the present paper we prove an identity concerning Ptaflians similar to the wellknown Grassmann PlΓΌcker relations for determinants, using tools from multilinear algehra. More precisely, we shall derive the identity as a corollary to an equation concerning skew-symmetric bilinear forms and operator

Simple proofs of occupancy tail bounds
✍ Devdatt Dubhashi πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 130 KB πŸ‘ 2 views

We give a simple proof of an occupancy tail bound in the balls and bins experiment using the method of bounded differences in expected form. We also indicate how a short, calculation-free proof of another occupancy tail bound follows from an extension of the standard Chernoff᎐Hoeffding bounds to var

Three Alternating Sign Matrix Identities
✍ David M. Bressoud πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 121 KB

This paper highlights three known identities, each of which involves sums over alternating sign matrices. While proofs of all three are known, the only known derivations are as corollaries of difficult results. The simplicity and natural combinatorial interpretation of these identities, however, sug