V.—Irish Tide Heights and Raised Beaches

Beaches, bays and headlands

We consider local and global combinatorial constraints on embeddings of a simple closed curve in a rectangular array of unit squares in which the curve lies entirely within the rectangular array and passes through each unit square once. Geographical terminology is convenient to describe the embeddings. We study shortest segments of the embedded curve with no clockwise quarter turns (bays) and a...

Heights and Weights

Tables of the relation between height and weight are now common in many countries, and if reasonably used are certainly helpful. It is not that a youth, a man, or woman, of a certain height must closely conform to the weight tabulated, a margin of 15 or 20 per cent, on either side is allowable. Such a table is undoubtedly useful in comparing the recruits or the prisoners it may be of one year (...

Valuing Great Lakes Beaches

This study aims to estimate the recreational use values of Great Lakes beaches using a two-level nested logit Random Utility Model. The choice set contains all 594 public Great Lakes beaches in Michigan. Beach sites located in the same Great Lakes water body are arranged into a nest. The trip data were obtained from a 2006 online survey using a web-panel of Michigan adults accessed through Surv...

Fathers’ and daughters’ heights

Bifurcations, Intersections, and Heights

In this article, we prove the equivalence of dynamical stability, preperiodicity, and canonical height 0, for algebraic families of rational maps ft : P(C)→ P(C), parameterized by t in a quasi-projective complex variety. We use this to prove one implication in the if-and-only-if statement of [BD2, Conjecture 1.10] on unlikely intersections in the moduli space of rational maps; we present the co...