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 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, ...

Blood-group type matching has been well known as the principal rule in organ transplantation. However, as the possibility of obtaining grafts from living donors is very low, adjustment of blood type is sometimes very difficult. On the other hand, and particularly in Far East countries, it is even harder to obtain grafts from deceased donors; thus, living donors must be used for the rescue of pa...

Theorem 1. Let L be a minimal countable standard transitive model of ZFC + V =L. There exists a real x ng having the following three properties: (1) x ng / ∈ L. (2) L[x ng ] satisfies ZFC. (3) In the following sense, x ng is not generic over any outer model of L: Assume that V is transitive and contains the same ordinals as L, and that P is a V-amenable partial ordering. Let 0 be the forcing re...

MATERIALS AND METHODS Inoculation with Rhizobium japonicum or R. meliloti reduced the electrical transmembrane potential (Em) of soybean (Glycine max [L.] Merr.) root cells within I day. The response could be attributed to altered diffusion potential (ED). Em values return to control levels by the second day after inoculation, but again were reduced in R. meliloti-inoculated tissue on the seven...