Die Bestimmung von Schwefel in organischen Substanzen

Ohne Zusammenfassung     

Terpentin?l und Harze

Ohne Zusammenfassung     

On non-singular transformations of a measure space. I

We consider a Lebesgue measure space (M, , m). By an automorphism of (M, , m) we mean a bi-measurable transformation of (M, , m) that together with its inverse is non-singular with respeot to m. We study an equivalence relation between these automorphisms that we call the weak equivalence. Two automorphisms S and T are weakly equivalent if there is an automorphism U such that for almost all x M U maps the S-orbit of x onto the T-orbit of U x. Ergodicity, the existence of a finite invariant measure, the existenoe of a -finite infinite invariant measure, and the non-existence of such measures are invariants of weak equivalenoe. In this paper and in its sequel we solve the problem of weak equivalenoe for a class of automorphisms that comprises all ergodic automorphisms that admit a -finite invariant measure, and also certain ergodic automorphisms that do not admit such a measure.     

High-temperature XRD studies of the phase transformations in a MnOx/Al2O3 catalyst for deep oxidation of hydrocarbons

Omsk Branch of Boreskov Institute of Catalysis     

NMR methods for molecular structure studies of paramagnetic lanthanide complexes in solutions. Applications to crown ether complexes

The literature data on NMR spectroscopic methods for investigation of the spatial structure and molecular dynamics of lanthanide complexes with macrocyclic polyethers in solutions are reviewed. Translated fromZhurnal Strukturnoi Khimii, Vol. 39, No. 4, pp. 714–730, July–August, 1998.     

Configurations Maximizing the Number of Pairs of Hamming-Adjacent Lattice Points

The following question is considered: Which sets of k lattice points among the n^d points in a d-dimensional cube of length n maximize the number of pairs of points differing in only one coordinate? It is shown that maximal configurations for any (d, n, k) are obtained by choosing the first k points in a lexicographic ordering of the points by coordinates. Some possible generalizations of the problem are discussed.