Mixed arithmetic and geometric means, with and without weights, are both considered. Related to mixed arithmetic and geometric means, the following three types of inequalities and their generalizations, from three variables to a general n variables, are studied. For arbitrary x, y, z ≥ 0 we have [ x + y + z 3 (xyz) ]1/2 ≤ ( x + y 2 · y + z 2 · z + x 2 )1/3 , (A) 1 3 (√ xy + √ yz + √ zx ) ≤ 1 2 ...

The birth of the subject of metamaterials, including many early contributions, is briefly reviewed. More specifically, a relatively new topic, the properties of waves on magnetically coupled metamaterial elements are discussed with particular reference to their dispersion characteristics, excitation and applications. r 2005 Elsevier B.V. All rights reserved. PACS: 41.20.Jb; 81.05.Zx; 84.30.Bv

Abstract Proper short‐ and long‐term acclimation to different growth light intensities is essential for the survival competitiveness of plants in field. High exposure known induce down‐regulation photoinhibition photosystem II (PSII) activity reduce photo‐oxidative stress. The xanthophyll zeaxanthin (Zx) serves central photoprotective functions these processes. We have shown recent work with pl...

Objective: This study was to investigate the effect of different canal contents on accuracy Gold Reciproc Motor (GRM; VDW, Munich, Germany) and DentaPort ZX (Morita Co, Kyoto, Japan) in determination artificial root perforations. Methods: Forty mandibular premolar teeth were included this study. The crowns removed lengths standardized be 14±1 mm. Roots divided into 2 groups (n=20). Artificial p...

A (holomorphic) automorphism of an Enriques surface S is said to be numerically reflective if it acts on the cohomology group H(S,Q) by reflection. We shall show that there are two lattice-types of numerically reflective involutions, and describe one type geometrically in terms of curves of genus 2 and Göpel subgroups of their Jacobians. An automorphism of an Enriques surface S is numerically t...

Objective To evaluate the performance of dual internally cooled wet tip (ICWT) radiofrequency electrodes in comparison to (ICT) electrodes.Methods Twenty ablation zones were created for each type electrodes. Planned procedure time was 6 min. Diameters zone along x-, y-, and z-axes (Dx, Dy, Dz), sphericity, quantitative sphericity measurement, volume measured compared between two electrode types...