The authors propose a simple one-sided device-independent scheme for certification of any set genuinely incompatible projective measurements, including mutually unbiased bases, and the maximally entangled state two qudits.

The Earth is a wet planet, where water is recycled from the mantle to the surface and back again. The mantle is generally too hot for the stability of hydrous minerals and too cold to store water within significant melt sheets. Therefore, the current paradigm in geosciences is that water resides and moves only through point defects in nominally anhydrous minerals such as olivine, pyroxene and g...

The three-dimensional shapes of thin lamina, such as leaves, flowers, feathers, wings, etc., are driven by the differential strain induced by the relative growth. The growth takes place through variations in the Riemannian metric given on the thin sheet as a function of location in the central plane and also across its thickness. The shape is then a consequence of elastic energy minimization on...

Hemophilia associations should be recommended for educational programs for patients and caregivers. Hematologists and nongovernmental organizations can work together for lifelong educational programs. Finally, we recommend holding patient workshops twice a year as well as publishing simple books or brochures in each local language to improve the knowledge and therefore the quality of life of th...

There is widespread interest in comparative genomics in determining if historically and/or functionally related genes are spatially clustered in the genome, and whether the same sets of genes reappear in clusters in two or more genomes. We formalize and analyze the desirable properties of gene clusters and cluster definitions. Through detailed analysis of two commonly applied types of cluster, ...