The minimum value of the Mahler measure of a nonreciprocal polynomial whose coefficients are all odd integers is proved here to be the golden ratio. The smallest measures of reciprocal polynomials with ±1 coefficients and degree at most 72 are also determined.

We present some new criteria for the oscillation of even order dynamic equation[Formula: see text]on time scale T, where α is the ratio of positive odd integers a and q is a real valued positive rd-continuous functions defined on T.

In this paper we shall investigate the oscillatory properties of the equations d2 dt2 ( 1 a(t) ( dx(t) dt )α) + q(t)f (x[g(t)]) = 0 and d2 dt2 ( 1 a(t) ( dx(t) dt )α) = q(t)f (x[g(t)])+ p(t)h(x[σ(t)]), where α is the ratio of two positive odd integers. AMS subject classification: 34C10.

BACKGROUND As silent and preventable in nature, postmenopausal osteoporosis awareness should be raised among young women prior to an irreversible period of declining bone mass. We therefore decided to assess the inter-correlation of knowledge, attitude and osteoporosis preventive behaviors in women around the age of peak bone mass. METHODS A cross-sectional study was conducted in 430 women ag...

OBJECTIVE Carotid intraplaque hemorrhage (IPH) is associated with cardiovascular events. Calcification, which frequently accompanies IPH, may play a role in IPH occurrence. In this study, we aimed to investigate the associations between calcification characteristics and IPH in carotid plaques. APPROACH AND RESULTS One hundred seventeen patients with cerebrovascular symptoms and carotid plaque...

the snp (rs11209026, arg381gln, r381q) in the il-23 receptor (il23r) confers protection against multiple inflammatory diseases, representing one of the most significant human genetic polymorphisms in inflammatory diseases. we, therefore, investigated the association between il-23 r r381q gene polymorphism and asthma.this case-control study was performed on 209 patients, and 200 healthy controls...