Currently, little information is available to estimate individual tree attributes for longleaf pine (Pinus palustris Mill.), an important tree species of the southeastern United States. The majority of available models are local, relying on stem diameter outside bark at breast height (dbh, cm) and not including stand-level parameters. We developed a set of individual tree equations to predict t...

In the present paper we propose a consistent way to integrate syntactical least general generalizations lgg s with semantic evaluation of the hypotheses For this purpose we use two di erent relations on the hypothesis space a constructive one used to generate lgg s and a semantic one giving the coverage based evaluation of the lgg These two relations jointly implement a semantic distance measur...

Let f : A → A be a regular polynomial automorphism (e.g., a Hénon map) defined over a number field K. We construct canonical height functions defined on A(K) associated with f . These functions satisfy the Northcott finiteness property, and an Kvalued point on A(K) is f -periodic if and only if its height is zero. As an application of canonical height functions, we give a refined estimate on th...

Using the piecewise monotone property, we give a full description of non-monotonicity height of PM functions with a single fort on compact interval. This method is also available for general PM functions with finitely many forts, as well as those functions defined on the whole real line. Finally, we obtain a sufficient and necessary condition for the finite non-monotonicity height by characteri...

Let f : A → A be a polynomial automorphism of dynamical degree δ ≥ 2 over a number field K. (This is equivalent to say that f is a polynomial automorphism that is not triangularizable.) Then we construct canonical height functions defined on A(K) associated with f . These functions satisfy the Northcott finiteness property, and an Kvalued point on A(K) is f -periodic if and only if its height i...

— We explain the main ideas and techniques involved in recent proofs of asymptotics of rational points of bounded height on toric varieties.

0.1. Factorization in trigonometric vertex models. In [1], we obtained factorized domain wall partition functions (DWPF’s) in two series of trigonometric vertex models: 1. The N -state Deguchi-Akutsu models, for N ∈ {2, 3, 4} (and conjectured the result for N ≥ 5), and 2. The gl(r+1|s+1) Perk-Schultz models, {r, s} ∈ N (where given the symmetries of these models, the result is independent of r ...