Using the theory of noncommutative symmetric functions, we introduce the higher order peak algebras (Sym(N))N≥1, a sequence of graded Hopf algebras which contain the descent algebra and the usual peak algebra as initial cases (N = 1 and N = 2). We compute their Hilbert series, introduce and study several combinatorial bases, and establish various algebraic identities related to the multisection...

BACKGROUND The aesthetically appealing eyebrow shape has been defined by its arch, located near the junction between the medial two-thirds and lateral one-third. The position of this arch has been historically described by arbitrary anatomical landmarks that have no logical structural relationship. Moreover, selection of endoscopic brow lift incision sites that define vector of pull and fixatio...

Background: PEF is a reasonably good measure of ventilatory function. It varies with various anthropometric parameters, geographical location of the subjects as well as various disease processes. Objective: To assess the relationship between PEF and certain selected anthropometric parameters and to devise prediction equation based upon these parameters. Materials and Methods: Three hundred heal...

Measurement of peak expiratory flow rate (PEFR) is required for effective asthma treatment, but ethnic differences affect the application of prediction equations for lung function. PEFR was measured in a representative sample of 1000 students in Nablus, Palestine. Predicted PEFR equations for Europeans and Iranians were applied to both males and females in age groups < 21 and > or = 21 years. T...

Lung function tests were performed on apparently healthy, non-smoking male volunteers aged 16-50 years normally staying in Varanasi city area. The volunteers were divided into five groups according to their age (16-19 yr, 20-25 yr, 26-30 yr, 31-35 yr, 40-50 yr). Anthropometric determinants (height and weight) and respiratory performance (vital capacity and peak expiratory flow rate) were record...