The validity of global quadratic stability inequalities for uniquely regular area minimizing hypersurfaces is proved to be equivalent to the uniform positivity of the second variation of the area. Concerning singular area minimizing hypersurfaces, by a “quantitative calibration” argument we prove quadratic stability inequalities with explicit constants for all the Lawson’s cones, excluding six ...

High speed Arithmetic Units (AUs) are widely used in architectures used in signal and image processing applications. AUs involve multifunctions and have multiplier as the critical element. In this paper, we present design and implementation of high speed and area efficient AU using Vedic algorithm. The work uses a simple “vertical and crosswise sutra” of Vedic mathematics to produce low complex...

In this paper, an unequal area Cyclic Facility Layout Problem (CFLP) is studied. Dynamic and seasonal nature of the product demands results in the necessity for considering the CFLP where product demands as well as the departmental area requirements are changing from one period to the next one. Since the CFLP is NP-hard, we propose a Simulated Annealing (SA) metaheuristic with a dynamic tempera...

The Tibetan Plateau is an essential source of water for Southeast Asia. The runoff from its∼ 34 000 glaciers, which occupy an area of ∼ 50 000 km2, feeds Tibetan lakes and major Asian rivers like the Indus and Brahmaputra. Reported glacial shrinkage likely has an impact on the runoff. Unfortunately, accurate quantification of glacial changes is difficult over the high-relief Tibetan Plateau. Ho...