An ordered tree with height h is b-balanced if all its leaves have a level l with h − b <= l <= h, where at least one leaf has a level equal to h − b. For large n, we shall compute asymptotic equivalents to the number of all b-balanced ordered trees with n nodes and of all such trees with height h. Furthermore, assuming that all b-balanced ordered trees with n nodes are equally likely, we shall...

sanitary landfills, created for the disposal of solid waste, usually are developed into parks afterthey are closed. however, soil amelioration with organic matter is usually needed to restore fertility andpromote revegetation. sewage sludge creates a massive waste disposal problem. the use of composted sewage sludge (biosolid) as a soil conditioner might restore the soil fertility at landfill s...

We study numerically a non-linear integral equation that arises in the study of binary search trees. If the tree is constructed from n elements, this integral equation describes the asymptotic (as n → ∞) distribution of the height of the tree. The height is defined as the longest path in the tree. Our analysis supplements some asymptotic results we recently obtained (cf. Knessl and Szpankowski ...

A procedure for both vertical canopy structure analysis and 3D single tree modelling based on Lidar point cloud is presented in this paper. The whole area of research is segmented into small study cells by a raster net. For each cell, a normalized point cloud whose point heights represent the absolute heights of the ground objects is generated from the original Lidar raw point cloud. The main t...

ABSTRACT: The poplar flat headed borer is one of important pests of poplar trees. This pest, attacks many poplars in physiological weakness condition and causes considerable damage in nurseries, plantation and wood-lots. This survey carried out in 2008 in order to study the effect of distance and planting system on damage rate of Melanophila picta in poplar/alfalfa agroforestry system in comple...