Binary trees are essential structures in Computer Science. The leaf (leaves) of a binary tree is one of the most significant aspects of it. In this study, we prove that the order of a leaf (leaves) of a binary tree is the same in the main tree traversals; preorder, inorder, and postorder. Then, we prove that given the preorder and postorder traversals of a binary tree, the leaf (leaves) of a bi...

capacity of garden productions in iran is such that is accounted as a country that produces thirteen garden products in the world but despite excellent condition in iran for producing garden products, natural disasters damage production of fruits in the country therefore farmers incur a loss. pistachio tree has been in danger of destruction and dryness. thus, in order to reduce loss incurred on...

Tree diameter at breast height (dbh) and height are the most important variables used in forest inventory and management as well as forest carbon-stock estimation. In order to identify the key stand variables that influence the tree height-dbh relationship and to develop and validate a suit of models for predicting tree height, data from 5961 tree samples aged from 6 years to 53 years and colle...

conclusions pine trees can be used as a worthy bio-indicator for hms pollution monitoring in the ambient air in areas with extensive vegetation of pine trees. results iron had the highest concentration (345.0053 mg/kg) in leaves when compared with other hms. the concentration of zn, cu, pb and cd were 26.1384, 5.5905, 2.9963 and 0.7383 mg/kg, respectively. spatial mapping indicated that industr...

Commutative Jordan algebras play a central part in orthogonal models. We apply the concepts of genealogical tree of an Jordan algebra associated to a linear mixed model in an experiment conducted to study optimal choosing of dentist materials. Apart from the conclusions of the experiment itself, we show how to proceed in order to take advantage of the great possibilities that Jordan algebras an...

Generalized Linear Models (GLMs) and Single Index Models (SIMs) provide powerful generalizations of linear regression, where the target variable is assumed to be a (possibly unknown) 1-dimensional function of a linear predictor. In general, these problems entail non-convex estimation procedures, and, in practice, iterative local search heuristics are often used. Kalai and Sastry (2009) recently...