Norm and difference : Stone Age dietary practice in the Baltic region

Stone Age research on Northern Europe frequently makes gross generalizations about the Mesolithic and Neolithic, although we still lack much basic knowledge on how the people lived. The transition from the Mesolithic to the Neolithic in Europe has been described as a radical shift from an economy dominated by marine resources to one solely dependent on farming. Both the occurrence and the geographical extent of such a drastic shift can be questioned, however. It is therefore important to start out at a more detailed level of evidence in order to present the overall picture, and to account for the variability even in such regional or chronological overviews. Fifteen Stone Age sites were included in this study, ranging chronologically from the Early Mesolithic to the Middle or Late Neolithic, c. 8300–2500 BC, and stretching geographically from the westernmost coast of Sweden to the easternmost part of Latvia within the confines of latitudes 55–59° N. The most prominent sites in terms of the number of human and faunal samples analysed are Zvejnieki, Västerbjers and Skateholm I–II. Human and faunal skeletal remains were subjected to stable carbon and nitrogen isotope analysis to study diet and ecology at the sites. Stable isotope analyses of human remains provide quantitative information on the relative importance of various food sources, an important addition to the qualitative data supplied by certain artefacts and structures or by faunal or botanical remains. A vast number of new radiocarbon dates were also obtained. In conclusion, a rich diversity in Stone Age dietary practice in the Baltic Region was demonstrated. Evidence ranging from the Early Mesolithic to the Late Neolithic show that neither chronology nor location alone can account for this variety, but that there are inevitably cultural factors as well. Food habits are culturally governed, and therefore we cannot automatically assume that people at similar sites will have the same diet. Stable isotope studies are very important here, since they tell us what people actually consumed, not only what was available, or what one single meal contained. We should not be deceived in inferring diet from ritually deposited remains, since things that were mentally important were not always important in daily life. Thus, although a ritual and symbolic norm may emphasize certain food categories, these may in fact contribute very little to the diet. By the progress of analysis of intra-individual variation, new data on life history changes have been produced, revealing mobility patterns, breastfeeding behaviour and certain dietary transitions. The inclusion of faunal data has proved invaluable for understanding the stable isotope ecology of a site, and thereby improve the precision of the interpretations of human stable isotope data. The special case of dogs, though, demonstrates that these animals are not useful for inferring human diet, since, due to the number of roles they possess in human society, dogs could deviate significantly from humans in their diet, and in several cases have been proved to do so. When evaluating radiocarbon data derived from human and animal remains from the Pitted-Ware site of Västerbjers on Gotland, the importance of establishing the stable isotope ecology of the site before making deductions on reservoir effects was further demonstrated. The main aim of this thesis has been to demonstrate the variation and diversity in human practices, challenging the view of a “monolithic” Stone Age. By looking at individuals and not only at populations, the whole range of human behaviour has been accounted for, also revealing discrepancies between norm and practice, which are frequently visible both in the archaeological record and in present-day human behaviour.

Improving approximate inverses based on Frobenius norm minimization

[EN]Approximate inverses, based on Frobenius norm minimization, of real nonsingular matrices are analyzed from a purely theoretical point of view. In this context, this paper provides several sufficient conditions, that assure us the possibility of improving (in the sense of the Frobenius norm) some given approximate inverses. Moreover, the optimal approximate inverses of matrix A ∈ R n×n , among all matrices belonging to certain subspaces of R n×n , are obtained. Particularly, a natural generalization of the classical normal equations of the system Ax = b is given, when searching for approximate inverses N 6= AT such that AN is symmetric and kAN − IkF < AAT − I F …

Ab-initio determination of x-ray absorption near edge structure (xanes) spectra in an ultrasoft and norm conserving pseudopotentials scheme

X-ray absorption spectroscopy (XAS) is a powerful means of investigation of structural and electronic properties in condensed -matter physics. Analysis of the near edge part of the XAS spectrum, the so – called X-ray Absorption Near Edge Structure (XANES), can typically provide the following information on the photoexcited atom: - Oxidation state and coordination environment. - Speciation of transition metal compounds. - Conduction band DOS projected on the excited atomic species (PDOS). Analysis of XANES spectra is greatly aided by simulations; in the most common scheme the multiple scattering framework is used with the muffin tin approximation for the scattering potential and the spectral simulation is based on a hypothetical, reference structure. This approach has the advantage of requiring relatively little computing power but in many cases the assumed structure is quite different from the actual system measured and the muffin tin approximation is not adequate for low symmetry structures or highly directional bonds. It is therefore very interesting and justified to develop alternative methods. In one approach, the spectral simulation is based on atomic coordinates obtained from a DFT (Density Functional Theory) optimized structure. In another approach, which is the object of this thesis, the XANES spectrum is calculated directly based on an ab – initio DFT calculation of the atomic and electronic structure. This method takes full advantage of the real many-electron final wavefunction that can be computed with DFT algorithms that include a core-hole in the absorbing atom to compute the final cross section. To calculate the many-electron final wavefunction the Projector Augmented Wave method (PAW) is used. In this scheme, the absorption cross section is written in function of several contributions as the many-electrons function of the finale state; it is calculated starting from pseudo-wavefunction and performing a reconstruction of the real-wavefunction by using a transform operator which contains some parameters, called partial waves and projector waves. The aim of my thesis is to apply and test the PAW methodology to the calculation of the XANES cross section. I have focused on iron and silicon structures and on some biological molecules target (myoglobin and cytochrome c). Finally other inorganic and biological systems could be taken into account for future applications of this methodology, which could become an important improvement with respect to the multiscattering approach.

From carbazole-containing and pi-expanded triangular trinuclear porphyrinoids

Zusammenfassung:rnDie vorliegende Arbeit beschreibt das Design und die Synthese neuartiger Porphyrinoide anhand der Modifikation und der π-Systemausdehnung an der Peripherie des Porphyrin-Gerüsts. Die Darstellung künstlicher Porphyrine ist von Interesse, da neue physiko-chemischen Eigenschaften erhalten und untersucht werden können. Die in dieser Arbeit vorgestellten Porphyrinoide wurden mit Hilfe von modernen Synthesemethoden wie den metallkatalysierten Kreuzkupplungen und somit durch Aryl-Aryl Verknüpfungen aufgebaut.rnDer erste Teil dieser Arbeit befasst sich mit der Modifikation des Porphyrin-Gerüsts. Porphyrine bestehen aus jeweils zwei Pyrrol- und Pyrrolenin-Einheiten, welche systematisch ausgetauscht wurden. Die Pyrrol-Einheiten wurden durch Carbazol ersetzt, das sich formal vom Pyrrol durch Anfügen von zwei Benzogruppen ableitet und deshalb besonders gut geeignet ist. Die Pyrrolenin-Einheiten wurden aus folgenden Gründen durch andere Heterozyklen wie Pyridin, Pyrrol oder Triazol ersetzt: rn* Nachbildung des stabilen Porphyrin trans-NH-Tautomers (Carbazol und Pyridin)rn* Nachbildung von (NH)4-Liganden wie Calix[4]pyrrol (Carbazol und Pyrrol)rn* Vereinigung von N-H und C-H Wasserstoffbrücken-Donor-Einheiten in einem Makrozyklus (Carbazol und Triazol)rnDie Synthese eines drei-Zentren Porphyrinoids mit ausgedehntem π-System wird im zweiten Teil der vorliegenden Arbeit beschrieben. Dieses Thema basiert auf der aktuellen Entwicklung von nicht-Edelmetall basierten Katalysatoren für die Reduktion von Sauerstoff. Hier werden derzeit N4 makrozyklische Metallkomplexe, die mehrere katalytisch aktive Stellen aufweisen, untersucht. In diesem Zusammenhang, hat die Gruppe von Prof. Müllen einen neuartigen drei-Zentren-Komplex entwickelt. Ausgehend von diesen Erkenntnissen, dient diese Arbeit zur Verbesserung der katalytischen Aktivität des drei-Zentren-Komplex durch die Variation von verschieden Substituenten. Hierbei wurden zwei wesentliche Konzepte verfolgt:rn* Vernetzung durch die Bildung von Netzwerken oder durch Pyrolyse in der Mesophasern* Verbesserung des Katalysator-Trägermaterial-KontaktsrnNeben den Synthesen wurden die Eigenschaften und möglichen Anwendungen dieser neuartigen Materialen untersucht, wie z.B. als Liganden für Übergangsmetalle, als Anionenrezeptoren oder als Elektrokatalysatoren für die Reduktion von Sauerstoff. rn