1. BALANCING NUMBERS We call an Integer n e Z a balancing number if 1+ 2+ --+ (»l ) = (w + l) + (w + 2) +••• + (» + >•) (1) for some r e Z. Here r is called the balancer corresponding to the balancing number n. For example, 6, 35, and 204 are balancing numbers with balancers 2, 14, and 84, respectively. It follows from (1) that, if n is a balancing number with balancer r, then n2^(n + r)(n + r ...

In a recent paper we constructed an integrable generalization of the Toda law on the square lattice. We construct other examples of integrable dynamics of Toda type on the square lattice, as well as on the triangular lattice, as nonlinear symmetries of the discrete Laplace equations on square and triangular lattices. We also construct the tau -function formulations and Darboux-Bäcklund transfor...

Aim: To analyze the behavior of functional reserve percentage (% FR) by gender in functional elderly persons, considering speed and the physiological cost of gait. Methods: A total of 53 self-reliant elderly persons, 40 of whom were women (age 69.4 ± 4.7 years old; BMI 31.2 ± 4.3 kg/m2) and 13 of whom were men (age 70.8 ± 7.2 years old; BMI 28.7 ± 3.5 kg/m2) participated in an observational and...

Optical Doppler tomography is demonstrated to be a simple, accurate, and noncontact method for measuring the fluid velocity of laminar flow in small-diameter (~0.5-mm) ducts. Studies are described that utilize circular (square) plastic (glass) ducts infused with a moving suspension of polymer microspheres in air and buried in an optically turbid medium. The measurement of Doppler-shifted freque...

BACKGROUND To optimize the vaccination coverage rates in the general population, the status of coverage rates and the reasons for non-vaccination need to be understood. Therefore, the objective of this study was to assess the changes in influenza vaccination coverage rates in the general population before and after the 2009 influenza pandemic (2008/2009, 2009/2010, and 2010/2011 seasons), and t...

BACKGROUND International guidelines recommend that physicians should be registered with a general practitioner (GP) and should avoid self-treatment. Adherence to these recommendations is mixed. AIMS To describe illness behaviour and chronic medical conditions of GPs in Germany. METHODS Cross-sectional, observational questionnaire study. We contacted 1000 GPs by mail in April 2014. We asked ...

WINNING ABSTRACT: Prior evidence has suggested a direct relationship between the level of house dust mite (HDM) allergen exposure, sensitisation and asthma. A recent cross-sectional study indicated a bell-shaped relationship between HDM exposure and sensitisation [1]. We examined the effects of cumulative HDM allergen exposure during the first 5 years of life on outcomes at age 5 years in Sydne...

BACKGROUND Age at menopause and symptoms vary among populations and societies. Scarce data is available about menopausal age, symptoms and socio-demographic and reproductive factors from rural women of Sindh, Pakistan. The present study was conducted to find out the self reported age at natural menopause, prevalence of menopausal symptoms, and to identify sociodemographic and reproductive facto...

Integrated Child Development Scheme (ICDS) is one of the world's largest and most unique programmes for early childhood care and development in India. This study aims to find out the efficiency of anganwadi centres in providing service to beneficiaries and the factors affecting the efficiency. A cross-sectional study was conducted in 200 anganwadi centres in Thiruvananthapuram district. An oper...