A method is investigated by which tight bounds on the range of a multivariate rational function over a box can be computed. The approach relies on the expansion of the numerator and denominator polynomials in Bernstein polynomials. Convergence of the bounds to the range with respect to degree elevation of the Bernstein expansion, to the width of the box and to subdivision are proven and the inc...

This paper applies inequality skill, degree elevation of triangular Bézier surfaces and difference operators to deduce the bounds on first and second partial derivatives of rational triangular Bézier surfaces. Further more, we prove that the new bounds are tighter and more effective than the known ones. All the results are obviously helpful for further optimization of geometric design systems. ...

A slide test for infectious mononucleosis using formalinized horse erythrocytes (Monotest(2)) was quantitated and compared with standard differential heterophile (Davidsohn) titres performed on the same specimens. The Monotest titre parallels the standard presumptive heterophile (antisheep cell) titre in the degree of elevation, with a ratio of Monotest to heterophile titre of approximately 1 t...

Elevation of serum interleukin-1 beta (IL-1 beta) levels, and to a lesser degree tumor necrosis factor alpha levels, was found in cachectic human immunodeficiency virus (HIV)-infected African patients without concurrent opportunistic infection or neoplasia (HIV wasting syndrome). A heterogeneous pattern of elevations of cytokine levels, including mild elevations of IL-1 beta and pronounced elev...

The usefulness of thallium-201 myocardial imaging in assessing right ventricular (RV) overloading was evaluated and compared with the electrocardiographic and hemodynamic measurements. Multiple unprocessed photoscans were obtained using a gamma camera in 47 patients who had chronic RV overload, including 28 subjects with pressure overload, 14 with volume overload and five with pressure and volu...

INTRODUCTION There are potential effects of vibration on aircrew performance and safety when using helmet-mounted equipment. The objective of this study was to quantify the effects of head orientation and helmet center-of-gravity (CG) on head and helmet biodynamics and tracking performance during exposures to aircraft buffeting and quasi-random vibration. METHODS Three head orientations, incl...

environmental impact assessment (ela) today is a planning tool that is used for the prediction of environmental impacts. there are several methods to assess environmental impacts in the world and iran as well. among them system analysis approach using degradation model (makhdoum, 1996) has shown it's effectiveness. degradation model is used at different levels including the basin , catchme...

In this paper, a de Casteljau algorithm to compute (p, q)-Bernstein Bézier curves based on (p, q)integers is introduced. We study the nature of degree elevation and degree reduction for (p, q)-Bézier Bernstein functions. The new curves have some properties similar to q-Bézier curves. Moreover, we construct the corresponding tensor product surfaces over the rectangular domain (u, v) ∈ [0, 1]× [0...

BACKGROUND In patients with ST-segment elevation myocardial infarction undergoing thrombolytic therapy, the degree of ST-segment resolution (STR) correlates with long-term cardiovascular mortality. The long-term predictive value of STR after primary percutaneous coronary intervention (PCI) is less well understood. We sought to determine the long-term prognostic value of STR after primary PCI in...

IMPORTANCE Eustachian tube (ET) dysfunction predisposes ears to otitis media, tympanic membrane retraction, retraction pocket and perforation, or cholesteatoma. OBJECTIVE To develop a method to quantitatively measure the eustachian tube (ET) component movements and their interactions captured by transnasal videoendoscopy of the ET during swallowing. DESIGN, SETTING, AND PARTICIPANTS A blind...