Bernstein coe cients provide a discrete approximation of the behavior of a polynomial inside an interval. This can be used for example to isolate real roots of polynomials. We prove a criterion for the existence of a single root in an interval and the correctness of the de Casteljau algorithm to compute e ciently Bernstein coe cients. Key-words: Polynomials, de Casteljau, Bernstein polynomials,...

Accurate estimate of longitudinal dispersion coe cient is essential in many hydraulic and environmental problems such as intake designs, modeling ow in esturies and risk assessment of injection of hazardous pollutants into river ows. Recent research works show that in the absence of knowledge about explicit relationships concerning longitudinal dispersion coe cient and its in uencing parameters...

Previous studies on the relationship between environmental, social and governance (ESG) information disclosure cost of equity (COE) have found mixed results. They conclude that this may be affected by some attributes company inside. In study, we examine whether investors’heterogeneous beliefs moderates ESG performance COE. Our sample starts with ESG-rating firms included in Huazheng index Wind ...

In this paper, an algorithm is developed for segmenting document images into four classes: background, photograph, text, and graph. Features used for classi cation are based on the distribution patterns of wavelet coe cients in high frequency bands. Two important attributes of the algorithm are its multiscale nature|it classi es an image at di erent resolutions adaptively, enabling accurate cla...

Based on local claims the efficacy of Boerhaevia diffusa and Chromolaena odorata in treatment malaria, this study compared proximate content phytochemical constituents ethanolic extracts C. (COE) B. (BDE) leaves. Ethanolic extract plant leaves were obtained by using standard procedures. The results analysis dried ground both plants revealed that COE exhibited significantly higher (p < 0.05) ...

While cancer mortality is declining in the United States, significant racial, ethnic, economic and geographic inequities persist. To help address treatment, care, support research, National Cancer Institute (NCI) instituted community outreach engagement (COE) mandate for NCI-designated comprehensive centers (CCCs). The Bristol Myers Squibb Foundation designed a convening listening session on CO...

in this paper, a new and ecient approach is applied for numerical approximationof the linear dierential equations with variable coecients based on operational matriceswith respect to hermite polynomials. explicit formulae which express the hermite expansioncoecients for the moments of derivatives of any dierentiable function in terms of theoriginal expansion coecients of the function itse...

In this paper, we consider a generalization of binomial coe¢ cients, called C– nomial coe¢ cients, dependent upon a sequence fungn, with indices in arithmetic progressions. We obtain a general recurrence relation and a generating matrix, and point out some new relationships between these coe¢ cients and the generalized Pascal matrices. Further, we obtain generating functions, combinatorial repr...