Weak Density of Smooth Maps in W 1, 1(M,N) for Non-Abelian π1(N)

We prove that smooth maps are dense in the sense of biting convergence in W ^{1, 1}(M, N) when M and Nare compact Riemannian manifolds and N is closed.     

Soil Thin-Layer Chromatography of Heavy Metal Cations with Surfactant-Modified Mobile Phases: Mutual Separation of Zinc(II), Cadmium(II), and Mercury(II)

JPC – Journal of Planar Chromatography – Modern TLC - Thin-layer chromatography of ten metal ions has been performed on pure soil layers; the mobile phases were aqueous organic and...     

Spectrophotometric Simultaneous Determination of Zinc(II), Manganese(II) and Iron(II) in Pharmaceutical Preparations Using OSC-PLS

The purpose of this paper is to develop a fast and sensitive spectrophotometric method for the simultaneous determination of zinc(II), manganese(II) and iron(II) in pharmaceutical preparations. The method presented in this work is based on the well-known reaction of these ions with 4-(pyridylazo)resorcinol (PAR)1. The application of quantitative chemometric methods, particularly PLS to multivariate chemical data is becoming more widespread owing to the availability of digitized spectroscop…     

Cation thin-layer chromatography in mixed organic solvents containing s-butylamine: Separation of Zn(II) from Cd(II) and Cu(II)

Summary A TLC method has been developed for the separation of Zn(II) from Cd(II) and Cu(II) on silica gel alyers with mixed organic solvents containing s-butylamine. The separation of Zn(II) from Cd(II) in the presence of certain anions and at various pH values of sample solution was examined. A mixture containign s-butylamine, acetone and formic acid in 262 was found to be the best solvent.     

Unbounded symmetrysets

Unbounded symmetrysets R Z_pⁿ are introduced which, in the presence of a Jacobi condition, are classified and can be written as R = Z_p^n₁ + + Z_pⁿ_k (inner direct sum), where n_i n for all i = 1, , k. The properties of these unbounded symmetrysets are easily verified for the set R of roots of Witt Lie algebras. This paper is a step in the direction of classifying simple Lie algebras of characteristic, p, by studying their rootsystems.