Matroid bases with cardinality constraints on the intersection

Mathematical Programming - Given two matroids $$\mathcal {M}_{1} = (E, \mathcal {B}_{1})$$ and $$\mathcal {M}_{2} = (E, \mathcal {B}_{2})$$ on a common ground set E with base sets $$\mathcal...     

MD Calculations on Nystose Combined with NMR Spectroscopy on Inulin Related Oligosaccharides

Abstract

Molecular Dynamics (MD) calculations have been performed on nystose in water. According to these calculations the glycosidic linkages of the molecule are flexible. Structures obtained with MD calculations are compared with NMR data of several inulin related oligosaccharides and inulin, resulting in a model for the conformation of their fructofuranosyl residues. To extend the set of available NMR data of inulin related oligosaccharides, the complete assignment of the ¹H and ¹³C NMR signals of β-D-fructofuranosyl-(2->l)-ß-D-fructofuranosyl-(2->l)-ß-D-fructofuranosyl-(2->l)-ß-D-fructofuranosyl-(2->l)-α-D-glucopyranoside has been given here, using several 2D homo- and heteronuclear NMR experiments. Accurate coupling constants have been obtained by simulation of the 600 MHz 1D NMR spectra.     

Une microburette horizontale automatique perfectionnée

Sans résuméAvec 4 figures.     

Contribution au microdosage titrimétrique de l'iode organique

Simultaneous microdetermination of carbon, hdrogen and iodine in organic substances is practically possible on a five milligramme sample. The two first mentioned elements are gravimetrically deetermined, iodine being titrated. The available results are quite good.New calibration technique of capillary instruments enables precise titration of very small quantities of Iodine. It will help to improve precision of this determination.     

Quantitative Analysis of the Molecular Weight Distribution of Inulin by Means of Anion Exchange HPLC with Pulsed Amperometric Detection

Abstract

A method, using anion exchange chromatography and pulsed amperometric detection, is described for quantitative analysis of the oligosaccharides present in inulin. The analysis of a number averaged and molecular weight averaged degree of polymerisation and the dispersion of inulin and inulin fractions is given.     

The Preparation and the Assignment of the 1H and 13C NMR Spectra of Methylated Derivatives of Inulin Oligosaccharides

Abstract

The complete assignment of the ¹H and ¹³C NMR spectra for permethylated sucrose, 1-kestose and nystose are given. Methylation of these inulin oligosaccharides did not change the conformation of the ring structures. A partially methylated derivative of nystose has been prepared using water as the solvent. The difference in reactivity of the various hydroxyl groups of nystose appeared to be very small.     

An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy

Using the approach of Rulla (1996 SIAM J. Numer. Anal. 33, 68-87)for analysing the time discretization error and assuming moreregularity on the initial data, we improve on the error boundderived by Barrett and Blowey (1996 IMA J. Numer. Anal. 16,257-287) for a fully practical piecewise linear finite elementapproximation with a backward Euler time discretization of amodel for phase separation of a multi-component alloy.