Zur Abscheidung und Bestimmung der Bors?ure

Ohne Zusammenfassung     

Three-dimensional Fourier Fringe Analysis

Over the years two-dimensional Fourier Fringe Analysis (2D-FFA) has demonstrated both its capability and its relative robustness in analysing fringe patterns within a short time-frame from static objects. Nowadays, there is an increasing demand to measure dynamic objects. Today 2D-FFA is seen as a fast and flexible method of processing fringe patterns for dynamic objects. But it is still inherently a 2D approach, i.e. it deals with three-dimensional data (video sequences) on an individual 2D frame-by-frame basis. In this paper, a novel three-dimensional Fourier Fringe Analysis (3D-FFA) algorithm is proposed to demodulate fringe pattern sequences taken from dynamic objects. This technique processes the stack of fringe patterns as a single 3D volume, not as a set of individual 2D frames that are each processed in isolation. The proposed algorithm has been evaluated on both computer simulated and real dynamic objects. Results show that the proposed technique is able to demodulate fringe pattern volumes successfully.     

Natural extensions for the Rosen fractions

The Rosen fractions form an infinite family which generalizes the nearest-integer continued fractions. We find planar natural extensions for the associated interval maps. This allows us to easily prove that the interval maps are weak Bernoulli, as well as to unify and generalize results of Diophantine approximation from the literature.

     

Die Analyse der Milch

Ohne Zusammenfassung     

Vinyl Glycosides in Oligosaccharide Synthesis (Part 6): 3-Buten-2-YL 2-Azido-2-Deoxy Glycosides and 3-Buten-2-YL 2-Phthalimido-2-Deoxy Glycosides as Novel Glycosyl Donors

ABSTRACT

An extension of the latent-active glycosylation strategy is reported whereby 3-buten-2-yl 2-deoxy-2-azidoglycosides and 3-buten-2-yl 2-deoxy-2-phthalimidoglycosides are used as building blocks for the preparation of amino sugar containing oligosaccharides. The allyl moieties of the latent substrates 5, 16 and 19 can be conveniently isomerised by treatment with a catalytic amount of (Ph₃P)₃RhCl/BuLi to give the active vinyl glycosides 6, 17 and 20 in high yield. These glycosyl donors were successfully used in glycosylations with acceptors 7, 9 and 11. In the case of glycosyl donor 6, the disaccharides 8, 10 and 12 could be obtained as anomeric mixtures or with high α-or β-selectivities depending on the reaction conditions selected. Glycosylations with glycosyl donors 17 and 20 in each case gave solely the β-linked products only in high yields.     

CYCLIC OXYPHOSPHORANES

Abstract

A review on pertinent information on cyclic oxyphosphoranes is presented. Recent X-ray structures and variable temperature ¹H NMR investigations of cyclic pentaoxyphosphoranes reveals a preference for a boat conformation for saturated six-membered rings in apical-equatorial orientations of trigonal bipyramids. These studies include five-, six-, and seven-membered rings and show that the solid state structures are retained in solution. Apical-equatorial ring pseudorotations are more facile for five-membered rings, whereas ligand exchange via diequatorial ring placement is more facile for the larger rings. The importance of the apical-equatorial ring orientation for phosphorinanes appearing as trigonal bipyramidal intermediates in enzymatic reactions of cyclic AMP analogs is emphasized.