In the previous work Hamamoto (Calc Var Partial Differ Equ 58(4):23, 2019), following from an idea of Costin–Maz’ya (Costin and Maz’ya in Calc 32(4):523–532, 2008), we computed best constant Rellich–Leray inequality for axisymmetric solenoidal fields, including any radial power weight. present paper, recompute it without such a symmetry assumption. As result, turns out that same fields is disti...

Uranium-lead data indicate that the high-pressure granulitic and charnockitic nuclei within the medium-grade metamorphic complex of the Peruvian coastal area must be related to an orogenic event 2 x 10(9) years ago. As in western Africa and Brazil, this old granulitic basement is reworked by Late Precambrian orogeny. Its presence along the Peru-Chile Trench must be taken into account in interpr...

Hornblende occurs in some andesitic and basaltic rocks of calc-alkaline affini1y, where it is commonly associated with olivine. The texture, eruption history, and composition are interpreted to indicate that hornblende commonly forms as a product of reaction between olivine and basaltic and andesitic liquids. The natural hornblendes probably formed within the crust at temperatures between 960o ...

The mineralogy of an unusual calc-silicate nodule brought to the surfaoe by the 1902 eruption of La Soufriere volcano on St. Vincent (Lesser Antilles arc) is described. It consists of the crystalloblastic mineral assemblage fassaite pyroxene + grandite garnet + wollastonite + anorthite t calcite. The pyroxene is more aluminous (Al2O3 : 19.66 weight percent) than any previously described from te...

Antibiotic self-resistance mechanisms, which include drug elimination, drug modification, target modification, and drug sequestration, contribute substantially to the growing problem of antibiotic resistance among pathogenic bacteria. Enediynes are among the most potent naturally occurring antibiotics, yet the mechanism of resistance to these toxins has remained a mystery. We characterize an en...

Alvanite is monoclinic P2Jn, with a = 17.808(8), b = 5.132(3), c = 8.881(4)A, and/3 = 92.11(3) ~ The density is 2.49 g/cm 3 (meas), 2.492 g/cm ~ (calc), Microprobe analysis yielded A1203 34.2, FeO 0.3, ZnO 7.6, NiO 4.2, V205 27.5, H20 (by difference) 26.2, total = 100.0 wt. %. This leads to the idealized formula (Zn,Ni)A14(VO3)2(OH)j2.2H20 with Z = 2.