A more robust view of the diversity of prokaryotes has come from sequencing rRNAs amplified directly from environmental samples. This approach has now been used to examine microbial communities in the human body, revealing populations rich in undescribed species whose impact on humans remains to be determined.
Several recent studies have suggested that official Japanese intervention in foreign exchange markets is limited to simple ‘leaning against the wind’. This note provides evidence, however, that Bank of Japan intervention is systematically biased against yen appreciation.
Let X and Y be m × n matrices whose elements are in K, a real or complex field. We obtain necessary and sufficient conditions for the existence of a matrix A belonging to the convex hull of a certain subgroup of the general linear group GLn(K) such that X = YA, which unite and generalize several known results concerning majorization.
This paper discusses tetrahedra with rational edges forming an arithmetic progression, focussing specifically on whether Nike Free 5.0 Liberty
they can have rational volume or rational face areas. Several infinite families are found which have rational volume, a face can have rational area only if Nike Free Run 3.0 V4 its edges are themselves in arithmetic progression, and a tetrahedron can have at most one such rational face area.