cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
Anomalous Properties of Quadrupole Collective States in $^{136}$Te and beyond
Creators: name: Shimizu, Noritaka
name: Otsuka, Takaharu
name: Mizusaki, Takahiro
name: Honma, Michio
Publisher: name: arXiv
Year: 2004
Subjects: subject: Nuclear Theory (nucl-th)
subject: FOS: Physical sciences

description: The ground and low-lying states of neutron-rich exotic Te and Sn isotopes are studied in terms of the nuclear shell model by the same Hamiltonian used for the spherical-deformed shape phase transition of Ba isotopes, without any adjustment. An anomalously small value is obtained for $B(E2;0^+_1\to 2^+_1)$ in $^{136}$Te, consistently with a recent experiment. The levels of $^{136}$Te up to yrast $12^+$ are shown to be in agreement with observed ones. It is pointed out that $^{136}$Te can be an exceptionally suitable case for studying mixed-symmetry 1$^+$, 2$^+$ and 3$^+$ states, and predictions are made for energies, M1 and E2 properties. Systematic trends of structure of heavier and more exotic Sn and Te isotopes beyond $^{136}$Te are studied by Monte Carlo Shell Model, presenting an unusual and very slow evolution of collectivity/deformation.
description: 8 pages, 7 figures, accepted for publication in Phys. Rev. C
Scale Effects, Technical Efficiency and Land Lease in China
Creators: name: Wang, Xiaobing
name: Yu, Xiaohua
name: Wang, Xiaobing
name: Yu, Xiaohua
Publisher: name: Unknown
Year: 2011
Subjects: subject: Farm Management
subject: Land Economics/Use
subject: Land Lease
subject: Land Use Rights
subject: Technical Efficiency
subject: Scale Effect

description: Using a panel dataset from Zhejiang province in China over the period 1995-2002, we propose a two-step estimation procedure to investigate the links between land lease activity and production efficiency. We find that the output elasticity with respect to land, the scale effect and the technical efficiency are higher for farmers involved in land-lease activities. In addition, technical efficiency and land-lease activity are endogenous, and farmers with higher technical efficiency are more likely to lease more land and adopt advanced technologies to achieve higher profits, which in turn alters the technical efficiency.
The foregone risk premium: a communicative and practical method for the evaluation of risk-return profiles in agriculture
Creators: name: Wauters, Erwin
name: De Cock, Lieve
name: Wit, Jan De
name: Lauwers, Ludwig H.
name: Wauters, Erwin
name: De Cock, Lieve
name: Wit, Jan De
name: Lauwers, Ludwig H.
Publisher: name: Unknown
Year: 2011
Subjects: Risk and Uncertainty

description: Risk considerations have become increasingly important in nowadays agriculture, due to a variety of reasons. Surprisingly, the practice of formalized risk management is not widespread despite the huge amount of scientific literature on this topic. This discrepancy between risk science and extension is described by many authors. This paper presents a communicative method, rooted in financial economics, to evaluate risk-return profiles in a way that is communicative for individual farmers. The method is derived from the modern portfolio theory, in which individual assets are implicitly compared to the risk-return trade-off of that asset with the highest Sharpe ratio. We use this idea to compare individual risk-return profiles to a particular benchmark. The method can be used for evaluating different risk-return profiles of different farms, different risk management instruments and different production systems. To illustrate the communicative nature of our method, it is applied to evaluate risk-return profiles of conventional versus organic cropping systems.
title: ÐÑÐ¿Ð¾Ð¼Ð¾Ð³Ð°ÑÐµÐ»ÑÐ½Ð¾Ðµ ÑÑÑÑÐ¾Ð¹ÑÑÐ²Ð¾ Ð´Ð»Ñ Ð¿Ð¾Ð²ÑÑÐµÐ½Ð¸Ñ ÑÐ¾ÑÐ½Ð¾ÑÑÐ¸ Ð¿ÑÐ¾ÑÐµÐ·Ð¾Ð² ÑÑÐº
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: An auxiliary device for improving the accuracy of prosthetic hands
Creators: name: ÐÐ¾Ð»Ð³Ð¾Ð², Ð¡ÐµÑÐ³ÐµÐ¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: ÐÑÐºÑÑÑÑÐ²ÐµÐ½Ð½ÑÐµ Ð¾ÑÐ³Ð°Ð½Ñ

description: Ð¦ÐµÐ»ÑÑ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ Ð¾Ð±Ð·Ð¾Ñ Ð¸Ð¼ÐµÑÑÐ¸ÑÑÑ ÑÐ¸Ð¿Ð¾Ð² Ð¼Ð°Ð½Ð¸Ð¿ÑÐ»ÑÑÐ¾ÑÐ¾Ð², Ð²ÑÐ±Ð¾Ñ Ð½Ð°Ð¸Ð±Ð¾Ð»ÐµÐµ Ð¿Ð¾Ð´ÑÐ¾Ð´ÑÑÐµÐ¹ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸ Ð´Ð»Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð² Ð·Ð°Ð´Ð°Ð½Ð½ÑÑ ÑÑÐ»Ð¾Ð²Ð¸ÑÑ Ñ ÑÐµÐ»ÑÑ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¿Ð¾ Ð¿Ð¾Ð·Ð¸ÑÐ¸Ð¾Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ¾ÑÐµÐ·Ð° ÑÑÐºÐ¸ Ð² Ð·Ð°Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµÐ¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸, Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¸ Ð¼Ð°Ð½Ð¸Ð¿ÑÐ»ÑÑÐ¾ÑÐ° Ð²ÑÐ±ÑÐ°Ð½Ð½Ð¾Ð³Ð¾ ÑÐ¸Ð¿Ð° Ð¸ ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ðµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð´Ð°Ð½Ð½ÑÐ¼ Ð¼Ð°Ð½Ð¸Ð¿ÑÐ»ÑÑÐ¾ÑÐ¾Ð¼. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ°Ð±Ð¾ÑÑ: Ð² ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ» Ð¿Ð¾Ð´ ÑÐµÐºÑÑÑÑ Ð·Ð°Ð´Ð°ÑÑ Ð±ÑÐ» Ð¼Ð¾Ð´Ð¸ÑÐ¸ÑÐ¸ÑÐ¾Ð²Ð°Ð½ Ð¼ÐµÑÐ°Ð½Ð¸Ð·Ð¼ ÑÐ¸Ð¿Ð° 5-bar robot, Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½ ÑÐ¸Ð»Ð¾Ð²Ð¾Ð¹ ÑÐ°ÑÑÐµÑ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÑ ÑÐ·Ð»Ð¾Ð² Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð¼ÐµÑÐ°Ð½Ð¸Ð·Ð¼Ð° Ð¸ ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð¸ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð° Ð´Ð»Ñ Ð²Ð¸Ð·ÑÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð¼ÐµÑÐ°Ð½Ð¸Ð·Ð¼Ð°. ÐÑÐ½Ð¾Ð²Ð½ÑÐµ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸: Ð²ÑÑÐ¾ÑÐ° â 750 Ð¼Ð¼, ÑÐ¸ÑÐ¸Ð½Ð° - 850 Ð¼Ð¼, ÑÐ¸ÑÐ¸Ð½Ð° ÑÐ°Ð±Ð¾ÑÐµÐ¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸ - 600 Ð¼Ð¼, Ð¼Ð°ÑÑÐ° - 5 ÐºÐ³. ÐÐ±Ð»Ð°ÑÑÑ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ: Ð¿Ð¾Ð´Ð´ÐµÑÐ¶ÐºÐ° Ð¸ Ð¿Ð¾Ð·Ð¸ÑÐ¸Ð¾Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÑÐ¾ÑÐµÐ·Ð° Ð½Ð°Ð´ Ð¾Ð¿Ð¾ÑÐ½Ð¾Ð¹ Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÑÑ.
description: The purpose of this work is to review the available types of manipulators, select the most suitable design for use in given conditions in order to solve the problem of positioning a prosthetic arm in a given work area, simulate the design of a manipulator of the selected type and create an algorithm for controlling this manipulator. Results of the work: during the work, a 5-bar robot type mechanism was modified for the current task, a power calculation of the main components of this mechanism was carried out and a control algorithm and a program for visualizing the main parameters of the mechanism were implemented. Main Features: height â 750 mm, width - 850 mm, working area width - 600 mm, weight - 5 kg. Scope of application: support and positioning of the prosthesis above the support surface.
Center Vortices and the Gribov Horizon
Creators: name: Greensite, Jeff
name: Olejnik, Stefan
name: Zwanziger, Daniel
Publisher: name: arXiv
Year: 2004
Subjects: subject: High Energy Physics - Lattice (hep-lat)
subject: High Energy Physics - Phenomenology (hep-ph)
subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: We show how the infinite color-Coulomb energy of color-charged states is related to enhanced density of near-zero modes of the Faddeev-Popov operator, and calculate this density numerically for both pure Yang-Mills and gauge-Higgs systems at zero temperature, and for pure gauge theory in the deconfined phase. We find that the enhancement of the eigenvalue density is tied to the presence of percolating center vortex configurations, and that this property disappears when center vortices are either removed from the lattice configurations, or cease to percolate. We further demonstrate that thin center vortices have a special geometrical status in gauge-field configuration space: Thin vortices are located at conical or wedge singularities on the Gribov horizon. We show that the Gribov region is itself a convex manifold in lattice configuration space. The Coulomb gauge condition also has a special status; it is shown to be an attractive fixed point of a more general gauge condition, interpolating between the Coulomb and Landau gauges.
description: 19 pages, 17 EPS figures, RevTeX4; v2: added references, corrected caption of fig. 11; v3: new data for higher couplings, clarifications on color-Coulomb potential in deconfined phase, version to appear in JHEP
Φώτιος Παπαδόπουλος (τέλη 19ου-αρχές 20ου αι.). Ένας σπουδαίος μουσικός και το αρχείο του
Creators: name: Μανουσάκης, Παναγιώτης Παντελεήμονος
Publisher: name: Aristotle University of Thessaloniki
Year: 2023
Subjects: Φώτιος Παπαδόπουλος
Χειρόγραφα Βυζαντινής (Ψαλτικής) μουσικής
Εκκλησιαστικός Μουσικός Σύλλογος Κωνσταντινούπολης
Fotios Papadopoulos
Handwriting Byzantine (Psaltic) music
Ecclesiastical Music Group of Constantinople

description: Σκοπός της Διπλωματικής εργασίας ήταν η μελέτη, καταγραφή και ένας γενικός σχολιασμός στο έργο του Φωτίου Παπαδόπουλου. Η εργασία χωρίζεται σε τρία κεφάλαια. Το πρώτο περιέχει την βιογραφία του. Στο δεύτερο η αναλυτική καταλογογράφηση και καταγραφή των μουσικών χειρογράφων και συνθέσεων, διάφορες αντιγραφές, τμήμα Εκκλησιαστικής θεωρίας, σημειώσεων, υπομνημάτων, επιστολών και άλλων εγγράφων και προγραμμάτων και ο κατάλογος βιβλίων που παραχωρήθηκε από το Εκκλησιαστικό Μουσείο Αρχαγγέλου Ρόδου. Στο τρίτο κεφάλαιο παρουσιάζονται διάφορες χαρακτηριστικές συνθέσεις και πραγματοποιείται μουσικολογική προσέγγιση και σύγκριση σε αυτές τις συνθέσεις, αντιγραφή σε παρασημαντική και σε πεντάγραμμο. Επιπλέον, γίνεται παρουσίαση του θεωρητικού εγχειριδίου που είχε εκδώσει καθώς και σχολιασμός του βιβλίου και των σημειώσεων που βρέθηκαν στο αρχείο. Τέλος, γίνεται μια σκιαγράφηση της προσωπικότητας του Φώτιου Παπαδόπουλου καθώς και μια αποτίμηση του έργου και της προσφοράς του στη Βυζαντινή και Παραδοσιακή μουσική.
description: The purprose of the Thesis was the study, recording and a general commentary on the work of Fotios Papadopoulos. The work is divided into three chapters. The firts contains his biography. The second, the delaited cataloging and recording of musical manustripts and compositions, various copies, a section of Ecclesiastical (church) theory, notes, memoranda, letters an other documents and programs and the catalog of books donated by the Ecclesiastical museum of Archangelos of Rhodes. In the third charter, various characteristic compositions are presented and a musicological approach and comparison is carried out in these compositions, copy in parasing and in stave. In addition, there is a presentation of the theorotical textbook he had published as well as a commentary of the book and the notes found in the archive. Finally, there is an outline of the personality of Fotios Papadopoulos as well as an assessment of his work and contribution to Byzantine and Traditional music.
Requirements on collider data to match the precision of WMAP on supersymmetric dark matter
Creators: name: Allanach, B. C.
name: Belanger, G.
name: Boudjema, F.
name: Pukhov, A.
Publisher: name: arXiv
Year: 2004
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: If future colliders discover supersymmetric particles and probe their properties, one could predict the dark matter density of the Universe and would constrain cosmology with the help of precision data provided by WMAP and PLANCK. We investigate how well the relic density can be predicted in minimal supergravity (mSUGRA), with and without the assumption of mSUGRA when analysing data. We determine the parameters to which the relic density is most sensitive, and quantify the collider accuracy needed. Theoretical errors in the prediction are investigated in some detail.
description: 42 pages, 16 figures. v2 incorporates referee's comments: minor corrections/clarifications with additional figures to show regions of m12-m0 plane considered
Replica trick with real replicas: A way to build in thermodynamic homogeneity
Creators: name: Janis, V.
name: Zdeborova, L.
Publisher: name: arXiv
Year: 2004
Subjects: subject: Disordered Systems and Neural Networks (cond-mat.dis-nn)
subject: Statistical Mechanics (cond-mat.stat-mech)
subject: FOS: Physical sciences

description: We use real replicas to investigate stability of thermodynamic homogeneity of the free energy of the Sherrington-Kirkpatrick (SK) model of spin glasses. Within the replica trick with the replica symmetric ansatz we show that the averaged free energy at low temperatures is not thermodynamically homogeneous. The demand of minimization of the inhomogeneity of thermodynamic potentials leads in a natural way to the hierarchical solution of the Parisi type. Conditions for the global thermodynamic homogeneity are derived and evaluated for the SK and $p$-spin infinite range models.
description: 6 pages, presented at SPDSA2004 Hayama (Japan), to appear in Progr. Theor. Phys
Quantum delocalization, gauge and quantum optics: The light-matter interaction in relativistic quantum information
Creators: name: Lopp, Richard
name: Martín-Martínez, Eduardo
Publisher: name: arXiv
Year: 2020
Subjects: subject: Quantum Physics (quant-ph)
subject: General Relativity and Quantum Cosmology (gr-qc)
subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: We revisit the interaction of a first-quantized atomic system (consisting of two charged quantum particles) with the quantum electromagnetic field, pointing out the subtleties related to the gauge nature of electromagnetism and the effect of multipole approximations. We connect the full minimal-coupling model with the typical effective models used in quantum optics and relativistic quantum information such as the Unruh-DeWitt (UDW) model and the dipole coupling approximation. We point out in what regimes different degrees of approximation are reasonable and in what cases effective models need to be refined to capture the features of the light-matter interaction. This is particularly important when considering the center of mass (COM) of the atom as a quantum system that can be delocalized over multiple trajectories. For example, we show that the simplest UDW approximation with a quantum COM fails to capture crucial Röntgen terms coupling COM and internal atomic degrees of freedom with each other and the field. Finally we show how effective dipole interaction models can be covariantly prescribed for relativistically moving atoms.
description: 21 pages, 1 figure, 3 appendices. RevTeX 4.1
Why do Farmers Spend Different Amounts of Transaction Costs in Agri-Environmental Schemes?
Creators: name: Weber, Anja Michaela
name: Weber, Anja Michaela
Publisher: name: Unknown
Year: 2011
Subjects: subject: Agricultural Finance
subject: Environmental Economics and Policy
subject: Agri-environmental Schemes
subject: Transaction Costs
subject: Hesse
subject: Germany

description: Agri-environmental schemes provide payments for farmers in return for environmental services. Implementation induces transaction costs (TCs). Borne by farmers (private TCs), their amount may inhibit participation. Research shows substantial variances in private TCs within single schemes, which are largely unexplained to date. Furthermore, no distinction has yet been made in research whether farmers spent TCs due to scheme-prescribed tasks, or voluntarily to achieve "transaction gains.‟ This might be an important factor in farmers‟ perceptions of TCs. The overall aim of this analysis is to explain within-scheme TC variances. TCs are defined functionally as “costs of participation.” The variance in TC spending is assumed to represent a different willingness to participate due to underlying motives. This is tested by ANOVAs and Pearson's correlations with the example of a German AES. Results show that all assumed motives are significant but differ along the implementation process and imply that different functions have TCs. Thus, general public reimbursement of private TCs, as allowed in current EU regulations, might therefore be inappropriate.
ANIMA D2.9 - Recommendations for the implementation of the exemplification case studies
Creators: name: Heyes, Graeme
name: Burtea, Narcisa
name: Dimitriu, Delia
name: Hooper, Paul
Publisher: name: Zenodo
Year: 2020
Subjects: Aviation noise
ICAO Balanced approach
Heath impact

description: This report presents the information that was provided to participants in the Roundtable discussions for their feedback and discussion, and details the key outcomes of the discussions that took place. First, findings regarding noise and health are presented, followed by a detailed assessment of Balanced Approach noise mitigation initiatives are presented, followed by pertinent round. At the end of each section, key roundtable feedback is provided. The report closes with a summary of core messages and recommendations to ensure wider endorsement of proposed content of the BP Portal (WP5), priorities for future research (WP3), and emerging tools to inform model and scenario building (WP4).
School milk demand in Germany: The role of individual and contextual factors - preliminary results
Creators: name: Weible, Daniela
name: Burgelt, Doreen
name: Christoph, Inken B.
name: Peter, Guenter
name: Rothe, Andrea
name: Salamon, Petra
name: Weber, Sascha A.
name: Weible, Daniela
name: Burgelt, Doreen
name: Christoph, Inken B.
name: Peter, Guenter
name: Rothe, Andrea
name: Salamon, Petra
name: Weber, Sascha A.
Publisher: name: Unknown
Year: 2011
Subjects: Demand and Price Analysis

description: Replaced with revised version of paper 12/01/11.
Two-loop QCD corrections to the vector form factors for the heavy-quark photo-production
Creators: name: Bonciani, R.
Publisher: name: arXiv
Year: 2004
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: We review on the calculation of the heavy-quark photo-production vector form factors, with the full dependence on the mass of the heavy-quark. The Feynman diagrams are evaluated within the dimensional regularization scheme and expressed in Laurent series of $ε=(4-D)/2$, where $D$ is the space-time dimension. The coefficients of the expansion are expressed in terms of harmonic polylogarithms. The numerical evaluation of the analytical formulas and the threshold limit of our results are presented.
description: Talk presented at the 11th International QCD Conference: QCD04, Montpellier, France, 5-10 July 2004; 4 pages, 4 figures
Hierarchical segment boost : a segment level classification approach to object class recognition
Creators: name: Reynolds, Jordan Michael
Publisher: name: University of British Columbia
Year: 2011

description: In this work we address the problem of object recognition and localization within cluttered, natural scenes. Specifically we present a new approach to recognizing deformable objects that uses only local information. We suggest a new method of computing labels for arbitrary regions within an image using only local color and texture information. The results demonstrate our success in both identifying and localizing several classes of objects within cluttered scenes. We make two primary contributions to the field of deformable object recognition. First we present a new technique for labeling arbitrary regions within an image using texture and color features. Second we introduce a hierarchical approach to combining the classification results from segmentations of different granularity. Since the field of deformable object recognition is still in its infancy, we hope the work presented here will be used as a stepping stone to developing more complex, multi-object detection systems.
The First Mid-Infrared Detection of HNC in the Interstellar Medium: Probing the Extreme Environment Towards the Orion Hot Core
Creators: name: Nickerson, Sarah
name: Rangwala, Naseem
name: Colgan, Sean
name: DeWitt, Curtis
name: Huang, Xinchuan
name: Acharyya, Kinsuk
name: Drozdovskaya, Maria
name: Fortenberry, Ryan C.
name: Herbst, Eric
name: Lee, Timothy J.
Publisher: name: arXiv
Year: 2020
Subjects: subject: Astrophysics of Galaxies (astro-ph.GA)
subject: FOS: Physical sciences

description: We present the first mid-infrared (MIR) detections of HNC and H13CN in the interstellar medium, and numerous, resolved HCN rovibrational transitions. Our observations span 12.8 to 22.9 micron towards the hot core Orion IRc2, obtained with the Echelon-Cross-Echelle Spectrograph aboard the Stratospheric Observatory for Infrared Astronomy (SOFIA). Exceptional, ~5 km/s, resolution distinguishes individual rovibrational transitions of the HNC and HCN P, Q, and R branches; and the H13CN R branch. This allows direct measurement of the species' excitation temperatures, column densities, and relative abundances. HNC and H13CN exhibit a local standard rest velocity of -7 km/s that may be associated with an outflow from nearby radio source I and an excitation temperature of about 100 K. We resolve two velocity components for HCN, the primary component also being at -7 km/s with temperature 165 K. The hottest component, which had never before been observed, is at 1 km/s with temperature 309 K. This is the closest component to the hot core's centre measured to date. The derived 12C/13C=13 is below expectation for Orion's Galactocentric distance, but the derived HCN/HNC=72 is expected for this extreme environment. Compared to previous sub-mm and mm observations, our SOFIA line survey of this region shows that the resolved MIR molecular transitions are probing a distinct physical component and isolating the chemistry closest to the hot core.
description: 20 pages, 6 figures, submitted to ApJ, comments welcome
Theory of the Difference Between Multiplication and Addition in Mathematical Functions
Creators: name: ناصر مصطفى احمد محمد عبدالله, Mohammed
Publisher: name: Zenodo
Year: 2025

description: This theory explores a fascinating and novel relationship between multiplication and addition within mathematical functions, focusing on the difference between their results. By analyzing the behavior of this difference as the variable number increases, the study presents a unique algebraic model that describes how the difference between the product and sum evolves.

 

The theory reveals that the rate of change in the difference between multiplication and addition is governed by the value of a constant number, providing a fresh perspective on basic arithmetic operations. As the variable number exceeds the constant, the difference grows incrementally, with the rate of growth depending on the value of the constant.

 

Through both algebraic and geometric analysis, this work offers a clear and mathematically rigorous framework for understanding this fundamental relationship. The results provide insights into the behavior of numbers in a way that can enhance teaching and understanding of core mathematical concepts.

 

This theory can be a valuable addition to mathematical education, helping students and researchers explore deeper patterns in arithmetic operations that are often overlooked in standard curricula. It opens doors for further study and potential applications in more complex areas of mathematics, from number theory to algebraic geometry.

 

 

 

Translation of Key Points:

• The description highlights the core idea of your theory: the relationship between multiplication and addition.

• It emphasizes how this difference behaves and how the theory provides a new model.

• The explanation includes both algebraic and geometric approaches, making it relevant for academic discussions.

• The final part encourages the potential educational value and future research applications.
Households’ WTP for the Reliability of Gas Supply
Creators: name: Chou, Wan-Jung
name: Bigano, Andrea
name: Hunt, Alistair
name: La Branche, Stephane
name: Markandya, Anil
name: Pierfederici, Roberta
name: Chou, Wan-Jung
name: Bigano, Andrea
name: Hunt, Alistair
name: La Branche, Stephane
name: Markandya, Anil
name: Pierfederici, Roberta
Publisher: name: Unknown
Year: 2011
Subjects: subject: Resource /Energy Economics and Policy
subject: Energy Security
subject: Gas Supply
subject: Households
subject: Willingness to Pay
subject: Choice Experiment
subject: EU

description: The security of natural gas supply is an important issue for all EU countries due to the region’s heavy dependence on imported supply sources and in light of energy demand for gas that is continuously increasing. Discussions have emphasised strategies for securing the supply at the macro level, e.g. diversification in supply sources, increase in storage capacity, etc. By contrast, consumers’ demand for the reliability of gas supply is rarely investigated. Hence this study was conducted to examine the economic implications associated with the security of gas supply directly to domestic consumers. Based on the choice experiment approach, household surveys were conducted in France, Italy and the UK. The results confirmed that the degree of the economic impact of a disruption of gas supply to domestic consumers was a function of the duration of a supply disruption and the season in which a supply cut would take place, as well as other preferences of consumers. The willingness to pay to secure per unit of gas consumption, or alternatively the costs of gas unsupplied, was estimated at between €2.65/cubic metre and €41.48/cubic metre across three different European countries.
CARDEC-03 - SPIRIT_checklist
Creators: name: Moro, Bruna Lorena Pereira
name: Signori, Cácia
name: Freitas, Raiza
name: Pontes, Laura
name: Tathiane Larissa Lenzi
name: Tedesco, Tamara Kerber
name: RAGGIO, Daniela Prócida
name: BRAGA, Mariana Minatel
name: Ekstrand, Kim
name: CENCI, Maximiliano Sérgio
name: Mendes, Fausto Medeiros
Publisher: name: figshare
Year: 2020
Subjects: Health Care

description: Completed SPIRIT checklist of the study CARDEC-03.
Do Cooperatives Offer High Quality Products? Theory and Empirical Evidence from the Wine Market
Creators: name: Pennerstorfer, Dieter
name: Weiss, Christoph R.
name: Pennerstorfer, Dieter
name: Weiss, Christoph R.
Publisher: name: Unknown
Year: 2011
Subjects: Agribusiness

description: We investigate the impact of decentralised decision making on product quality. Comparing a cooperative (decentralized decision making) and a firm (centralized decision making) suggests that members of the cooperative have an incentive to produce too much and to free-ride on quality. Free-riding on quantity and quality are interrelated which implies that the final product of the cooperative can even be of higher quality than its entrepreneurial twin, despite free-riding on quality. Whether or not cooperatives deliver higher quality products depends on the way in which the quality of the final product is determined from the quality levels of the inputs delivered (quality aggregation) as well as the number of members of the cooperative. Empirical evidence on the Austrian wine market suggests that wines produced by cooperatives tend to be of significantly lower quality, ceteris paribus.
Αναπτύσσοντας οξειδωτική φάση σε σεσκιτερπενοειδείς λακτόνες
Creators: name: Μαζαράκη, Καλλιόπη Ιωάννη
Publisher: name: Aristotle University of Thessaloniki
Year: 2023
Subjects: Βιοδραστικές σεσκιτερπενοειδείς λακτόνες
Διαφοροποιημένη σύνθεση
Εκλεκτικές οξειδώσεις
Bioactive sesquiterpenoid lactones
Divergent synthesis
Selective oxidations

description: Στόχος της συγκεκριμένης εργασίας είναι η ανάπτυξη εκλεκτικών μεθοδολογιών για τη σύνθεση οξειδωμένων παραγώγων σεσκιτερπενοειδών λακτονών. Πιο συγκεκριμένα, σκοπός είναι η σύνθεση του βασικού καρβοκυκλικού σκελετού των σεσκιτερπενοειδών λακτονών των οικογενειών Apicaeae και Asteraceae και η περαιτέρω μετατροπές αυτού. Ο βασικός σκελετός με το σύστημα των 5,7-δακτυλίων συντίθεται μέσω μιας αλληλουχίας αντιδράσεων oxy-Cope/ ενίου, ο μηχανισμός των οποίων μελετήθηκε εκτενώς και παρουσιάζεται στην παρούσα εργασία. Παράλληλα, δοκιμάζονται αντιδράσεις που αφορούν την προσπάθεια εκλεκτικής αφυδάτωσης με σκοπό το σχηματισμό του 4,5-διπλού δεσμού που υπάρχει σε πληθώρα φυσικών προϊόντων αυτής της κατηγορίας. Παρουσιάζονται ακόμη αντιδράσεις με σκοπό την διαστερεοεκλεκτική οξείδωση της θέσης 10, όπως αυτή υπάρχει στο μόριο του φυσικού προϊόντος θαψιγαργίνη, και εποξείδωσης των θέσεων 1,5 και 4,5. Επίσης, εκπονούνται πειράματα στα πλαίσια της διαφοροποιημένης σύνθεσης, αξιοποιώντας παράγωγα των αντιδράσεων που πραγματοποιήθηκαν, με σκοπό τη σύνθεση νέων ενδιαμέσων σε διαφορετικές πορείες προς τη σύνθεση διαφορετικών φυσικών προϊόντων. Τέλος παρουσιάζεται η σύνθεση σε μικρή κλίμακα του φυσικού προϊόντος 4,5-εποξϋοσμιτοψίνη καθώς και οι πορείες προς τη σύνθεση του 6-epi-10β-υδροξυσιτσοπουμιλίδιο και του 6-epi-διϋδροαρνταμπσίνη.
description: The main goal of this project is the development of selective methodologies towards the synthesis of oxidative derivatives of sesquiterpenoid lactones. More specifically, the project’s aim is the synthesis of the common carbocyclic structure of sesquiterpenoid lactones that belong to Apicaeae and Asteraceae families. Further oxidation of this core is also explored. This basic 5,7 membered ring system is synthesized via a sequence of oxy-Cope/ene reactions, the mechanism of which was thoroughly studied and detailed presented below. Simultaneously, the selective dehydration reactions aiming towards the formation of the 4,5 double bond, a common characteristic present in a variety of natural products of this category, are analyzed in depth. Reactions that lead to diastereoselective oxidation of carbon 10, as it appears in thapsigargin, and epoxidation of 1,5 and 4,5 positions are also mentioned in detail. Furthermore, concerning divergent synthesis, derivatives of the reactions carried out were used as stepping stones to further synthesize intermediates that can potentially lead to different natural products. Ultimately, the small-scale synthesis of the natural product 4,5-epoxyosmitopsin is presented, along with the synthesis route to epi-10β-hydroxycichopumilide and epi-dihydroartabsin.
Asymptotic behavior of divergences and Cameron-Martin theorem on loop spaces
Creators: name: Li, Xiang Dong
Publisher: name: arXiv
Year: 2004
Subjects: subject: Probability (math.PR)
subject: FOS: Mathematics
subject: 60H07, 58G32 (Primary)

description: We first prove the L^p-convergence (p\geq 1) and a Fernique-type exponential integrability of divergence functionals for all Cameron-Martin vector fields with respect to the pinned Wiener measure on loop spaces over a compact Riemannian manifold. We then prove that the Driver flow is a smooth transform on path spaces in the sense of the Malliavin calculus and has an \infty-quasi-continuous modification which can be quasi-surely well defined on path spaces. This leads us to construct the Driver flow on loop spaces through the corresponding flow on path spaces. Combining these two results with the Cruzeiro lemma [J. Funct. Anal. 54 (1983) 206-227] we give an alternative proof of the quasi-invariance of the pinned Wiener measure under Driver's flow on loop spaces which was established earlier by Driver [Trans. Amer. Math. Soc. 342 (1994) 375-394] and Enchev and Stroock [Adv. Math. 119 (1996) 127-154] by Doob's h-processes approach together with the short time estimates of the gradient and the Hessian of the logarithmic heat kernel on compact Riemannian manifolds. We also establish the L^p-convergence (p\geq 1) and a Fernique-type exponential integrability theorem for the stochastic anti-development of pinned Brownian motions on compact Riemannian manifold with an explicit exponential exponent. Our results generalize and sharpen some earlier results due to Gross [J. Funct. Anal. 102 (1991) 268-313] and Hsu [Math. Ann. 309 (1997) 331-339]. Our method does not need any heat kernel estimate and is based on quasi-sure analysis and Sobolev estimates on path spaces.
description: Published by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Probability (http://www.imstat.org/aop/) at http://dx.doi.org/10.1214/009117904000000045
CARDEC-03 - Restorations Assessment Form
Creators: name: Moro, Bruna Lorena Pereira
name: Signori, Cácia
name: Freitas, Raiza
name: Pontes, Laura
name: Tathiane Larissa Lenzi
name: Tedesco, Tamara Kerber
name: Raggio, Daniela
name: Braga, Mariana Minatel
name: Ekstrand, Kim
name: CENCI, Maximiliano Sérgio
name: Mendes, Fausto Medeiros
Publisher: name: figshare
Year: 2020
Subjects: Health Care

description: Restorations Assessment Form used during assessments of patients of the study CARDEC-03.
A super massive black hole binary in 3C66B: future observational perspectives
Creators: name: De Paolis, F.
name: Ingrosso, G.
name: Nucita, A. A.
Publisher: name: arXiv
Year: 2004
Subjects: subject: Astrophysics (astro-ph)
subject: FOS: Physical sciences

description: Supermassive black hole binaries (SMBHBs) may exist in the centers of galaxies and active galactic nuclei (AGN) and are expected to be fairly common in the Universe as a consequence of merging processes between galaxies. The existence of SMBHBs can be probed by looking for double nuclei in galaxy centers or, more easily, detecting periodic behavior in the observed radio light curves. In a recent paper, Sudou et al. \cite{sudou2003} announced the first direct observation of an SMBHB. Using VLBI observations they found that the unresolved radio core of the radio galaxy 3C66B shows a well defined elliptical motion with a period of $1.05\pm 0.03$ yrs, implying the presence of a couple of massive black holes in the center of the galaxy. In the present paper we study the astrophysical implications of the existence of such an SMBHB in 3C66B. In particular we focus on the information that can be obtained from detecting a signal periodicity either in the $X$-ray and/or $γ$-ray light curves as a consequence of the motion of the black holes. These observations could be used to extract further information on the physical parameters of the SMBHB and partially solve the system parameter degeneracy. The detection of the gravitational wave spectrum emitted by such system may be used to completely determine the physical parameters of the binary system.
description: 8 pages, 8 figures, in Press on Astronomy & Astrophysics
Journeys with 'The Waste Land' - Turner Contemporary Video
Creators: name: Tooby, Michael
Publisher: name: BathSPAdata
Year: 2021
Subjects: subject: 200503 British and Irish Literature
subject: FOS: Languages and literature
subject: 200204 Cultural Theory
subject: FOS: Other humanities
subject: Art
subject: 190103 Art Theory
subject: FOS: Arts (arts, history of arts, performing arts, music)
subject: 190599 Visual Arts and Crafts not elsewhere classified
subject: 199999 Studies in the Creative Arts and Writing not elsewhere classified

description: The material referenced in this item is located externally at the YouTube platform, and can be viewed in full by accessing via the provided link.

Journeys with 'The Waste Land' was a major exhibition exploring the significance of T.S. Eliot's poem 'The Waste Land' through the visual arts. This was a three-year project to develop pioneering and innovative approaches towards curating and curatorial research.

This item contains a video which advertises the Journeys with 'The Waste Land' as a turner contemporary project. It demonstrates the goals and overall missions achieved with this project.
TJF-Brief-May-2020 Covid-19: A Zoonosis Related to Deforestation and Foodborne Disease
Creators: name: Qurani, Ika Zahara
name: Fawzi, Nurul Ihsan
name: Annisa Noyara Rahmasary
name: Sihombing, Maic
Publisher: name: figshare
Year: 2020
Subjects: subject: 50211 Wildlife and Habitat Management
subject: FOS: Earth and related environmental sciences
subject: 40604 Natural Hazards
subject: Ecology
subject: FOS: Biological sciences
subject: Biological Engineering
subject: 110804 Medical Virology
subject: FOS: Health sciences

description: The complex interaction between deforestation, land-use changes, and the social economy has increased the human contact with a pathogen that leads to zoonoses. Fragmentation of forest landscape and disturbance of forest structure will increase the number of hosts or vectors that move into the human population. Most importantly, it allows the pathogen to persist indefinitely and the disease to become endemic or even pandemic. Reducing animal-human contact is a big challenge as it requires dramatic behavioral change and support from the government, wildlife experts, epidemiologist, and social scientists.
A fully integrated 4-bit 28-GS/s time-interleaved digital-to-analog converter for high-speed wireless communication systems
Creators: name: Μιχαηλίδης, Αναστάσιος Νικολάου
Publisher: name: Aristotle University of Thessaloniki
Year: 2023
Subjects: Μετατροπέας Ψηφιακού-σε-Αναλογικού Σήματος
Χρονικά Διαπλεκόμενος
Υψηλή Ταχύτητα Δειγματοληψίας
Digital-to-Analog Converter
Time Interleaved
High Sampling Frequency

description: In this thesis, a fully integrated 4-bit 28-GS/s time-interleaved Digital-to-Analog Converter (DAC) circuit for high-speed interfacing in wireless communication systems was studied and implemented using a 22 nm Fully-Depleted Silicon-on- Insulator (FDSOI) CMOS technology process node. An RLCk parasitic extraction methodology of the physical layout was embedded into the standard design flow as to be able to extract the inductive and mutual coupling parasitic effects due to high sampling frequency operation. Furthermore, the RLCk extracted netlists and layouts were included into the top-level testbench of the circuit for top-level simulations and the results were benchmarked against the results provided using only the schematic view of the full design, without considering the RLCk parasitics added by the physical layout of the circuit.
description: Στη συγκεκριμένη διπλωματική εργασία, μελετήθηκε και υλοποιήθηκε ένα πλήρως ολοκληρωμένο κύκλωμα ενός µμετατροπέα Ψηφιακού σήματος σε Αναλογικό (DAC) τεσσάρων δυαδικών ψηφίων, µε συχνότητα δειγματοληψίας 28 δισεκατομμυρίων δειγμάτων ανά δευτερόλεπτο, αξιοποιώντας την τεχνική λειτουργίας πολλαπλής χρονικής κλίμακας. Η φυσική υλοποίηση του μετατροπέα έγινε µε χρήση του τεχνολογικού κόμβου των 22 nm CMOS Fully-Depleted Silicon-on-Insulator (FDSOI). Για μπορέσουν να αποτυπωθούν οι επιπτώσεις των επαγωγικών παρασιτικών και των παρασιτικών αμοιβαίας επαγωγικής σύζευξης του φυσικού σχεδιασμού λόγω της υψηλής συχνότητας δειγματοληψίας, ενσωματώθηκε στην βασική ροή σχεδιασμού μια μεθοδολογία εξαγωγής RLCk παρασιτικών. Επιπλέον, τα netlists και οι φυσικοί σχεδιασμοί που εξήχθησαν, έχοντας συμπεριλάβει τα RLCk παρασιτικά του συνολικού φυσικού σχεδιασμού του κυκλώματος, συμπεριλήφθηκαν στο ανώτατο επίπεδο προσομοίωσης του συνολικού κυκλώματος. Τα αποτελέσματα της προσομοίωσης συγκρίθηκαν µε τα αποτελέσματα που παρέχονται χρησιμοποιώντας µόνο το πλήρες σχηματικό του κυκλώματος, χωρίς να συμπεριληφθούν τα RLCk παρασιτικά που προστέθηκαν λόγω του φυσικού σχεδιασμού του κυκλώματος στο πυρίτιο.
Combining risk perception and risk attitude: A comprehensive individual risk behavior model
Creators: name: Van Winsen, Frankwin
name: Wauters, Erwin
name: Lauwers, Ludwig H.
name: De Mey, Yann
name: Van Passel, Steven
name: Vancauteren, Mark
name: Van Winsen, Frankwin
name: Wauters, Erwin
name: Lauwers, Ludwig H.
name: De Mey, Yann
name: Van Passel, Steven
name: Vancauteren, Mark
Publisher: name: Unknown
Year: 2011
Subjects: subject: Risk and Uncertainty
subject: risk management
subject: risk perception
subject: risk attitude
subject: risk behaviour

description: Although risk management in farming is a well-documented subject in scientific literature, this same literature is usually used only by other scientist and is not aiding individual farmers in their management. Risk perception and risk attitude are well described determinants of risk behaviour but rarely combined in an integrated approach for risk behaviour research. Furthermore in most literature risk attitude is taken as a given stable personality trait on which the optimal behaviour should be based. We argue that risk attitude can be manageable in order to derive optimal risk behaviour. Based on these findings we develop a comprehensive theoretical basic model on farmers risk behaviour. Furthermore a participatory approach involving the stakeholder, the farmer, to build on this model is presented. This presented model has as final purpose of guiding research on establishing risk management tools applicable by farmers.
Bogoliubov speed of sound for a dilute Bose-Einstein condensate in a 3d optical lattice
Creators: name: Boers, Dave
name: Weiss, Christoph
name: Holthaus, Martin
Publisher: name: arXiv
Year: 2004
Subjects: subject: Soft Condensed Matter (cond-mat.soft)
subject: FOS: Physical sciences

description: We point out that the velocity of propagation of sound wavepackets in a Bose-Einstein condensate filling a three-dimensional cubic optical lattice undergoes a maximum with increasing lattice depth. For a realistic choice of parameters, the maximum sound velocity in a lattice condensate can exceed the sound velocity in a homogeneous condensate with the same average density by 30%. The maximum falls into the superfluid regime, and should be observable under currently achievable laboratory conditions.
description: 6 pages, 2 figures, accepted for publication in Europhys. Lett. http://www.epletters.ch/
Journeys with 'The Waste Land' - Project Website
Creators: name: Tooby, Michael
Publisher: name: BathSPAdata
Year: 2021
Subjects: subject: Art
subject: 160502 Arts and Cultural Policy
subject: FOS: Political science
subject: 190103 Art Theory
subject: FOS: Arts (arts, history of arts, performing arts, music)
subject: 190599 Visual Arts and Crafts not elsewhere classified
subject: 130201 Creative Arts, Media and Communication Curriculum and Pedagogy
subject: FOS: Educational sciences
subject: 200503 British and Irish Literature
subject: FOS: Languages and literature

description: The material referenced in this item is located externally at the above linked website, and can be viewed in full by accessing via the provided link.

Journeys with 'The Waste Land' was a major exhibition exploring the significance of T.S. Eliot's poem 'The Waste Land' through the visual arts. This was a three-year project to develop pioneering and innovative approaches towards curating and curatorial research.

This item contains a link to the Journeys with 'The Waste Land' project website at https://www.jwtwlresource.com, which contains:A project timelineInformation about:- the Facilitating Curators, the Gallery Team, the Participants in the Research Group, the Audience, and the Evaluator-Details around the research conception, development, and evolutionEnd notesVideosDownloadsPress and Contact information
Please view the website at the link provided.
O PAPEL DO BIBLIOTECÁRIO NO COMBATE ÀS FAKE NEWS
Creators: name: SANTOS, Everson Barcelos
Publisher: name: Zenodo
Year: 2024
Subjects: Biblioteconomia. Fake News. Competência em informação

description: Este estudo analisou diversos artigos, teses e dissertações, além de sítios eletrônicos que abordam sobre o termo Fake News. Este termo se refere a mentiras apresentadas como notícias, ou seja, falsidades formatadas e feitas com a finalidade de circular de forma que o leitor possa acreditar se tratar de uma notícia legítima. A partir desse problema e dos perigos causados pelas notícias falsas, destaca-se a figura do bibliotecário para ajudar no combate às Fake News. Apesar dessas práticas não terem uma origem certa, o termo Fake News é recente e cresceu no meio das redes sociais no ambiente da Web 2.0. Nesse contexto, o estudo explica a importância da formação tecnológica e abrangente dos bibliotecários para dominar as tecnologias modernas e auxiliar os indivíduos na utilização dessas tecnologias. Os bibliotecários, por meio dos estudos em competência em informação, podem tornar os indivíduos críticos e autônomos, capazes de questionar e selecionar informações de qualidade por conta própria.
Force Dynamics in Weakly Vibrated Granular Packings
Creators: name: Umbanhowar, Paul
name: van Hecke, Martin
Publisher: name: arXiv
Year: 2004
Subjects: subject: Soft Condensed Matter (cond-mat.soft)
subject: Statistical Mechanics (cond-mat.stat-mech)
subject: FOS: Physical sciences

description: The oscillatory force F_b^ac on the bottom of a rigid, vertically vibrated, grain filled column, reveals rich granular dynamics, even when the peak acceleration of the vibrations is signicantly less than the gravitational acceleration at the earth's surface. For loose packings or high frequencies, F_b^ac 's dynamics are dominated by grain motion. For moderate driving conditions in more compact samples, grain motion is virtually absent, but F_b^ac nevertheless exhibits strongly nonlinear and hysteretic behavior, evidencing a granular regime dominated by nontrivial force-network dynamics.
description: 4 pages, 5 figures
Increase in milk price volatility experienced by Flemish dairy farmers: A change in risk profile
Creators: name: Van Winsen, Frankwin
name: Wauters, Erwin
name: Lauwers, Ludwig H.
name: De Mey, Yann
name: Van Passel, Steven
name: Vancauteren, Mark
name: Van Winsen, Frankwin
name: Wauters, Erwin
name: Lauwers, Ludwig H.
name: De Mey, Yann
name: Van Passel, Steven
name: Vancauteren, Mark
Publisher: name: Unknown
Year: 2011
Subjects: Demand and Price Analysis
Livestock Production/Industries

description: This paper reports on the increased volatility in the milk price received by Flemish dairy farmers and its consequence on the risk profile of selected Flemish dairy farms. The volatility of the milk price has doubled since January 2007. It is suggested that this increasing volatility could have a significant impact on the risk profile of dairy farms. Indeed our results show that the risk profile is changing depending on the volatility and average price for milk. However this change is not very substantial compared to some other subsectors. Also we show that in our case study of selected farms that if the milk price volatility doubles an average milk price increase of about 12% compensates for the increased volatility on return on assets. Finally this paper demonstrated the importance of regarding risk and return together when making normative statements on the consequences of milk price volatility.
Solvability of the Hamiltonians related to exceptional root spaces: rational case
Creators: name: Boreskov, Konstantin G.
name: Turbiner, Alexander V.
name: Vieyra, Juan C. Lopez
Publisher: name: arXiv
Year: 2004
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: Solvability of the rational quantum integrable systems related to exceptional root spaces $G_2, F_4$ is re-examined and for $E_{6,7,8}$ is established in the framework of a unified approach. It is shown the Hamiltonians take algebraic form being written in a certain Weyl-invariant variables. It is demonstrated that for each Hamiltonian the finite-dimensional invariant subspaces are made from polynomials and they form an infinite flag. A notion of minimal flag is introduced and minimal flag for each Hamiltonian is found. Corresponding eigenvalues are calculated explicitly while the eigenfunctions can be computed by pure linear algebra means for {\it arbitrary} values of the coupling constants. The Hamiltonian of each model can be expressed in the algebraic form as a second degree polynomial in the generators of some infinite-dimensional but finitely-generated Lie algebra of differential operators, taken in a finite-dimensional representation.
description: 51 pages, LaTeX, few equations added, one reference added, typos corrected