New arrangements

New inequalities for subspace arrangements

For each positive integer n ≥ 4, we give an inequality satisfied by rank functions of arrangements of n subspaces. When n = 4 we recover Ingleton’s inequality; for higher n the inequalities are all new. These inequalities can be thought of as a hierarchy of necessary conditions for a (poly)matroid to be realizable. Some related open questions about the “cone of realizable polymatroids” are also...

New financial arrangements for nursing students.

A New Statistic on Linear and Circular r-Mino Arrangements

We introduce a new statistic on linear and circular r-mino arrangements which leads to interesting polynomial generalizations of the r-Fibonacci and r-Lucas sequences. By studying special values of these polynomials, we derive periodicity and parity theorems for this statistic.

The New Uk Monetary Arrangements: a View from the Literature

This paper considers the likely operating characteristics of the new UK monetary arrangements introduced in May 1997. The paper ®rst argues that the time inconsistency of policy is not an issue provided the Bank of England is properly independent. However, the current in ̄ation remit from the Chancellor to the Bank speci®es a numerical target for the in ̄ation rate, but does not specify how quick...

2D Arrangements -

Constructs, maintains, modifies, traverses, queries, and presents arrangements on two-dimensional parametric surfaces. Complete and Robust All inputs are handled correctly (including degenerate input). Exact number types are used to achieve robustness. Generic – easy to interface, extend, and adapt Modular – geometric and topological aspects are separated Supports among the others: various poin...