1,153 research outputs found
Extending Putzer's representation to all analytic matrix functions via omega matrix calculus
We show that Putzer's method to calculate the matrix exponential in [28] can be generalized to compute an arbitrary matrix function defined by a convergent power series. The main technical tool for adapting Putzer's formulation to the general setting is the omega matrix calculus; that is, an extension of MacMahon's partition analysis to the realm of matrix calculus and the method in [6]. Several results in the literature are shown to be special cases of our general formalism, including the computation of the fractional matrix exponentials introduced by Rodrigo [30]. Our formulation is a much more general, direct, and conceptually simple method for computing analytic matrix functions. In our approach the recursive system of equations the base for Putzer's method is explicitly solved, and all we need to determine is the analytic matrix functions.Mathematic
Höland, A., Wirkungen der Rechtsprechung des Europäischen Gerichtshofs für Menschenrechte im deutschen Recht / [rezensiert von] Max Putzer
Rezensiertes Werk: Höland, A.: Wirkungen der Rechtsprechung des Europäischen Gerichtshofs für Menschenrechte im deutschen Recht. - BWV, 2012. - 187 S. - ISBN 978-383051978
Mycobacterium smegmatis RNase J is a 5’-3’ exo-/endoribonuclease and both RNase J and RNase E are involved in ribosomal RNA maturation
The presence of very different sets of enzymes, and in particular the presence of RNase E and RNase J, has been used to explain significant differences in RNA metabolism between the two model organisms Escherichia coli and Bacillus subtilis. However, these studies might have somewhat polarized our view of RNA metabolism. Here, we identified a RNase J in Mycobacterium smegmatis that has both 5'-3' exo- and endonucleolytic activity. This enzyme coexists with RNase E in this organism, a configuration that enabled us to study how these two key nucleases collaborate. We demonstrate that RNase E is responsible for the processing of the furA-katG transcript in M.smegmatis and that both RNase E and RNase J are involved in the 5' end processing of all ribosomal RNAs. In contrast to B.subtilis, the activity of RNase J, although required in vivo for 23S rRNA maturation, is not essential in M.smegmatis. We show that the pathways for ribosomal RNA maturation in M.smegmatis are quite different from those observed in E.coli and in B.subtilis. Studying organisms containing different combinations of key ribonucleases can thus significantly broaden our view of the possible strategies that exist to direct RNA metabolism
A finite element analysis for a new short stem concept design with spherical bone interface for hip resurfacing
Hip resurfacing is an option for the treatment of degenerative diseases like hip osteoarthritis, rheumatoid arthritis or femoral head necrosis. This type of hip surgery, minimally invasive, is adopted for young male patients due to its bone saving procedure that leave more possibilities in case of an hypothetical revision, however with controversial results. The design of a new short stem could help to reduce postoperative failure caused by the new stress distribution in the bone such as loosening and fractures. The aim of the study was to compare, by means of a finite element method (FEM) analysis, the structural behavior of the biomechanical system bone-prosthesis constituted by a femur and respectively a new short stem design and a traditional one. A numerical model of an intact femur was developed and structurally validated with experimental results reported in literature. The new short stem design was compared with a long stem design; the two stems are combined with two different resurfaced femoral caps. Under two types of loads, respectively simulating normal walking and stairs climbing proximal femur stress-strain distribution and bone-stem relative micromotions were analyzed and compared. In conclusion it was observed that shortening of the stem results in a stress and strain increase in correspondence of the peripheral area of support of the cap on the bone; this situation could be a potential cause of bone fracture in the immediate postoperative period if the load is not gradually released. On the other hand the load transfer from the stem to the bone occurs in a more physiological way along the femoral neck. In long stem model there is a change in strain and stress distribution both in correspondence of the femoral head and along the femoral neck
Putting the rights of nature on the map. A quantitative analysis of rights of nature initiatives across the world
The Rights of Nature (RoN) promote a new understanding of the human environment, where natural entities are conceived as subjects with intrinsic value independent of human interests. The implementation of this idea gained momentum in the United States in 2006. One decade and a half later, the idea has spread all over the world. Despite some efforts, a sophisticated geographical inventory of the movement is missing. Building on Kauffman (2020), we identified and analysed 409 initiatives in 39 countries, creating the most comprehensive database of RoN initiatives to date. We developed a taxonomy that may guide further research. We also present two detailed maps which can help policymakers, legislators, judges, researchers, and the public at large to evaluate and compare initiatives. The findings of this investigation directly help the UN Harmony with Nature Programme and have contributed to the launch of the Eco-Jurisprudence Monitor, an online database of RoN initiatives
Return to Sports After Total Hip Arthroplasty: A Survey Among Members of the European Hip Society
Ein Beitrag zur Erforschung der Steinkegelaltäre vom Typ Rungger Egg. Vorbericht über die Ausgrabungen am Wallnereck in der Gemeinde Ritten (Südtirol)
A Contribution to the Study of Conical Stone Altars of the Rungger Egg Type.
Preliminary Report on the Excavations at Wallnereck in the Municipalty of Ritten(South Tyrol)The site at Wallnereck in the municipality of Ritten (Bozen province, Italy) is one of themany conical stone pyramids of the Rungger Egg or Bozen type that have often been mentioned in the literature. The excavation provides the first detailed insight into the use and characteristics of such a site. It is indeed a burnt-offering place, as has been assumed by most authors, but in the case of Wallnereck it was not the conical stone pyramid that was used as a cremation site, but instead the area below it. Additionally, a dating framework for the construction of the complex could be worked out in the stage Ha D / Lt A
The Rights of Nature as a Bridge between Land-Ownership Regimes: The Potential of Institutionalized Interplay in Post-Colonial Societies
El método de E.J Putzer en la solución de sistemas lineales con corrientes constantes
Algunas ciencias como: la Física, la Química, la Biología, etc., expresan sus fenómenos naturales en modelos matemáticos y algunos de ellos dan origen a sistemas lineales de ecuaciones diferenciales. El objetivo principal de este trabajo es exponer didácticamente la resolución de un sistema lineal de ecuaciones diferenciales de primer orden homogéneo y no homogéneo.
Para la aplicación de la solución de sistemas lineales se utiliza el método de E. J. Putzer (Primer algoritmo y segundo algoritmo)
También se utiliza la forma canónica de Jordan en la solución de sistemas lineales de ecuaciones diferenciales (matrices de Jordan).
Desde el punto de vista matemático el presente trabajo es un ejemplo de interrelación entre las Ecuaciones Diferenciales Lineales y el Álgebra Lineal.Tesi
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