We consider the Diophantine approximation of exponential generating functions at rational arguments by their partial sums and by convergents of their (simple) continued fractions. We establish quantitative results showing that these two sets of approximations coincide very seldom. Moreover, we offer many conjectures about the frequency of their coalescence. In particular, we consider exponentia...

Inhibitory antibodies to factors VIII or IX have the potential to affect a broad range of outcomes among people with hemophilia; however, their possible effect on growth and maturation has not been explored. We evaluated skeletal maturation (bone age), pubertal progression, serum testosterone levels, height velocity, and stature in the multicenter Hemophilia Growth and Development Study. A tota...

Objective: To investigate whether asthma or its treatment impairs children’s growth, after allowing for socioeconomic group. Design: 4 year follow up of a cohort of children aged 1-15. Setting: 12 general practices in the Tayside region of Scotland. Subjects: 3347 children with asthma or features suggestive of asthma registered with the general practices. Main outcome measures: Height and weigh...

BACKGROUND In children, exhaled nitric oxide (eNO) is usually confounded by factors such as age and height. We evaluated the relationship between eNO and lung function by minimizing the effects of aging and height. METHODS In Study 1, the subjects comprised 738 elementary school children and junior high school children (aged 6 to 15 years, 366 males and 372 females). They were divided into tw...

Background Chronic conditions such as asthma are usually stigmatized as one of the reasons for short stature. A widespread belief also is that prolonged long-term treatment with corticosteroids will lead to elevated body weight and also could lead to short stature. Therefore we evaluated the height and weight status in the children admitted in the hospital for asthma attack regarding the asthma...

We derive an analytic expression for the height correlation function of a homogeneous, isotropic rough surface based on the inverse wave scattering method of Kirchhoff theory. The expression directly relates the height correlation function to diffuse scattered intensity along a linear path at fixed polar angle. We test the solution by measuring the angular distribution of light scattered from r...

A digital height field is an array of height values assigned to the vertices of a regular grid in the two-dimensional domain over which an explicit function (landscape) is defined. A new direct rendering algorithm for digital height fields is described. “Direct rendering” means that the image is calculated without an intermediate step of conversion to a polygonal mesh. It is shown that direct h...

Body height and other body attributes of humans may be associated with a diverse range of social outcomes such as attractiveness to potential mates. Despite evidence that each parameter plays a role in mate choice, we have little understanding of the relative role of each, and relationships between indices of physical appearance and general health. In this study we tested relationships between ...