Action-angle map and duality for the open Toda lattice in the perspective of Hamiltonian reduction

An alternative derivation of the known action-angle map of the standard open Toda lattice is presented based on its identification as the natural map between two gauge slices in the relevant symplectic reduction of the cotangent bundle of $GL(n,{{\mathbb R}})$. This then permits to interpret Ruijsenaars' action-angle duality for the Toda system in the same group-theoretic framework which was established previously for Calogero type systems.Comment: 11 page

Poisson-Lie dynamical r-matrices from Dirac reduction

The Dirac reduction technique used previously to obtain solutions of the classical dynamical Yang-Baxter equation on the dual of a Lie algebra is extended to the Poisson-Lie case and is shown to yield naturally certain dynamical r-matrices on the duals of Poisson-Lie groups found by Etingof, Enriquez and Marshall in math.QA/0403283.Comment: 10 pages, v2: minor stylistic changes, v3: corrected eq. (4.3

Managing Competitiveness in Food Production Towards EU Accession (Hungarian Case Study)

Hungarian companies in the food sector operate in an increasingly competitive domestic and international environment. These competitive forces will gather strength upon Hungarys integration into the European Union. Increasing management performance, quality enhancement, cost cutting and timely response to signals of a booming market are elemental interests of each Hungarian agri-business that wishes to be successful. The competitiveness of Hungarian food production is decisive factor of the agricultural policy. The competitiveness of food processing depends heavily on the level of development of raw material production. Food processing requires a solid agricultural base capable of producing high volumes of top quality raw material. The reverse side of this influence is also at play. High quality and efficient food processing capable of producing goods that meet world market requirements is a major driving force in the improvement of the competitiveness of agriculture. The position of agricultural producers and conditions of their operation are basically determined by the processing industry The future of Hungarian food production and specially of the three livestock (meat, poultry and dairy) branches studied depends on attaining higher levels of competitiveness. That requires continuous improvement of the performance of these branches and the related production of raw material. Increasing competitive capacity in the marketplace hinges on the level of understanding and meeting consumer requirements, on implementing best practice solutions in production, on improving productivity and on developing innovative products and cost saving methods of processing. Collaboration between the private sector, state agencies, and universities will be beneficial in bringing high-tech equipment and processing and marketing techniques. New products and new technology could be initiated by a stronger collaboration between state agencies, universities, research centers and the private sector. Contractual arrangement to develop new products or new packaging or new processing techniques would need multiplied. Large chains of super and hyper-markets have emerged in the early 90s, soon after the launching of economic reforms. Entrepreneurs in the food industry already know how the demands of retail industry. The absence of trade barriers for food products between Hungary and the EU after accession will call for an even more proactive new strategy to be developed by Hungarian food processors. The study using the methodology of the analysis is benchmarking, that is, a comparison at sector level, by taking into account the structures of the most developed EU countries and Hungary. Benchmarking is one of the means of furthering the above objectives as it aims at identifying and adopting superior business solutions that help realize competitive levels of performance. Benchmarking produces development programs and strategies that allow the application of these best practices of operation. The conclusions can drive the management decisions for agricultural enterprises.Agribusiness,

Global Aspects of the WZNW Reduction to Toda Theories

It is well-known that the Toda Theories can be obtained by reduction from the Wess-Zumino-Novikov-Witten (WZNW) model, but it is less known that this WZNW $\rightarrow$ Toda reduction is \lq incomplete'. The reason for this incompleteness being that the Gauss decomposition used to define the Toda fields from the WZNW field is valid locally but not globally over the WZNW group manifold, which implies that actually the reduced system is not just the Toda theory but has much richer structures. In this note we furnish a framework which allows us to study the reduced system globally, and thereby present some preliminary results on the global aspects. For simplicity, we analyze primarily 0 $+$ 1 dimensional toy models for $G = SL(n, {\bf R})$, but we also discuss the 1 $+$ 1 dimensional model for $G = SL(2, {\bf R})$ which corresponds to the WZNW $\rightarrow$ Liouville reduction.Comment: 22 pages, INS-Rep.-104

Design, development, and fabrication of a functional adhesive bonding repair experiment to be performed during space flight Final report, Nov. 1966 - May 1968

Adhesive repair system for application in weightless vacuum space environmen