we study connected orientable spacelike hypersurfaces $x:m^{n}rightarrowm_q^{n+1}(c)$, isometrically immersed into the riemannian or lorentzian space form of curvature $c=-1,0,1$, and index $q=0,1$, satisfying the condition $~l_kx=ax+b$,~ where $l_k$ is the $textit{linearized operator}$ of the $(k+1)$-th mean curvature $h_{k+1}$ of the hypersurface for a fixed integer $0leq k

introduction: this study was carried out to compare the capability of k-files with mtwo rotary file in terms of negotiation as well as depth of penetration in second mesiobuccal (mb2) canal of maxillary first molar. materials and methods: a total of 32 mb2 canal of maxillary first molars having different root curvatures (not more than 30 degree) and root lengths were selected and then detected ...

A severe case of stenosis in coronary arteries results in turbulence in the blood flow which may lead to the formation or progression of atherosclerosis. This study investigated the turbulent blood flow in a coronary artery with rigid walls, as well as 80% single and double stenoses on blood flow. A finite element-based software package, ADINA 8.8, was employed to model the blood flow. The hemo...

In this work, the mean activity coefficients of KCl in the KCl+lactose +water system were determined using the potentiometric method. The electromotive force measurements were carried out on the galvanic cell without liquid junction of the type: Ag|AgCl|KCl (m), lactose (wt.%), H2O (1−wt.) %|K-ISE, in various mixed solvent systems containing 0, 5,7.5, 10 and 12.5 % mass fractions of lactose. Th...

Many clustering algorithms exist that estimate a cluster centroid, such as K-means, K-medoids or mean-shift, but no algorithm seems to exist that clusters data by returning exactly K meaningful modes. We propose a natural definition of a K-modes objective function by combining the notions of density and cluster assignment. The algorithm becomes K-means and K-medoids in the limit of very large a...