Lieb's square ice constant
- Lieb's square ice constant
Lieb's square ice constant is a mathematical constant used in the field of combinatorics. It was introduced by Elliott H. Lieb in 1967. [cite web|url=http://prola.aps.org/abstract/PR/v162/i1/p162_1|title=Phys. Rev. 162, 162 - 172 (1967)|accessdate=2008-03-18]
Definition
Let "L" denote the area of an "n" × "n" square lattice, where "L" = "n"2 Assign a direction to each edge of the lattice. Denote the number of orientations of such that each vertex has two inwardly directed and two outwardly directled edges by ƒ("n").
:
References
Wikimedia Foundation.
2010.
Look at other dictionaries:
Mathematical constant — A mathematical constant is a special number, usually a real number, that is significantly interesting in some way .[1] Constants arise in many different areas of mathematics, with constants such as e and π occurring in such diverse contexts as… … Wikipedia
List of mathematics articles (L) — NOTOC L L (complexity) L BFGS L² cohomology L function L game L notation L system L theory L Analyse des Infiniment Petits pour l Intelligence des Lignes Courbes L Hôpital s rule L(R) La Géométrie Labeled graph Labelled enumeration theorem Lack… … Wikipedia