On representations of the elliptic quantum group Eτ,η(sl2)E_{\tau,\eta}(sl_2)

We describe representation theory of the elliptic quantum group $E_{\tau,\eta}(sl_2)$. It turns out that the representation theory is parallel to the representation theory of the Yangian $Y(sl_2)$ and the quantum loop group $U_q(\widetilde { sl }_2)$.Comment: 21 pages, amstex. An explicit formula for the general R matrix is given in this revised versio

Reality property of discrete Wronski map with imaginary step

For a set of quasi-exponentials with real exponents, we consider the discrete Wronskian (also known as Casorati determinant) with pure imaginary step 2h. We prove that if the coefficients of the discrete Wronskian are real and for every its roots the imaginary part is at most |h|, then the complex span of this set of quasi-exponentials has a basis consisting of quasi-exponentials with real coefficients. This result is a generalization of the statement of the B. and M. Shapiro conjecture on spaces of polynomials. The proof is based on the Bethe ansatz for the XXX model.Comment: Latex, 9 page

Legibility of Textbooks: A Literature Review

AbstractThe purpose of the study was to analyse findings in the field of the textbooks’ legibility, readability and visual word recognition. The paper focuses on the most significant findings for comprehending the texts’ spatial characteristics during reading, word and letter recognition. The aim of the study was to analyse the factors which have induced inconsistencies between the findings acquired by scientists, as well as to compare findings which continually lead to progression in this field

Adhesion at TiNi interfaces with Ta, Mo and Si

Atomic and electronic structure of (001) and (110) interfaces between TiNi and Ta, Mo, Si thin films are investigated by ab-initio method within density functional theory. It is shown that high adhesion properties can be attained at the Mo/TiNi(001)Ti interface, whereas the work of separation of Ta and Si films from alloy is substantial less. We found that the work of separation in case of (110) interface is lower than that at (001). Structural and electronic properties of considered interfaces are analysed. Our calculations of metal-oxide interfaces demonstrate that formation of intermediate titanium oxides layers can result in decrease of adhesion at Me/TiNi(110) interfaces

An Algorithm to Construct Groebner Bases for Solving Integration by Parts Relations

This paper is a detailed description of an algorithm based on a generalized Buchberger algorithm for constructing Groebner-type bases associated with polynomials of shift operators. The algorithm is used for calculating Feynman integrals and has proven itself efficient in several complicated cases.Comment: LaTeX, 9 page

Psychological and Pedagogical Foundations of the Formation of Students' Own Educational Strategies in the Process of Independent Learning

The scientific problem to which this article is devoted is determined by the tasks facing modern education. One of these tasks is to build a continuous education system, covering all stages of a person’s life. To ensure the movement of the individual in the educational space, it is necessary to form a culture of lifelong learning, which implies the development of technologies of self-education and self-learning. The latter become a fundamental factor in the system of continuous learning. The analysis of pedagogical, psychological and methodical literature showed that the independent work of students in its theoretical justification has always been interpreted as the most important component of the educational process. However, in recent years the problem of improving its effectiveness began to attract increasing attention of researchers. One of the ways, according to scientists, psychologists and methodologists, is to teach students the ability to learn. But in order to "learn how to learn", it is necessary to master various methods of organization and implementation of educational activities. This is facilitated, according to foreign scientists, by the use of various learning strategies. The purpose of this article is to consider different types of educational strategies formed within the framework of independent foreign language training of students. According to the authors of the article, educational process should be organized in such a way that the consistent and purposeful work on formation of teaching strategies is conducted, mastery of which promotes students’ ability to learn. The formation of this skill becomes a support for personal readiness to continuously learn throughout life

Decoupling of heavy quarks in HQET

Decoupling of c-quark loops in b-quark HQET is considered. The decoupling coefficients for the HQET heavy-quark field and the heavy-light quark current are calculated with the three-loop accuracy. The last result can be used to improve the accuracy of extracting f_B from HQET lattice simulations (without c-quark loops). The decoupling coefficient for the flavour-nonsinglet QCD current with n antisymmetrized gamma-matrices is also obtained at three loops; the result for the tensor current (n=2) is new.Comment: JHEP3 documentclass; the results in a computer-readable form can be found at http://www-ttp.physik.uni-karlsruhe.de/Progdata/ttp06/ttp06-25/ V2: a few typos corrected, a few minor text improvements, a few references added; V3: several typos in formulas fixe

Dysregulation of Glucagon Secretion by Hyperglycemia-Induced Sodium-Dependent Reduction of ATP Production

© 2018 The Author(s). Published by Elsevier Inc.Diabetes is a bihormonal disorder resulting from combined insulin and glucagon secretion defects. Mice lacking fumarase (Fh1) in their β cells (Fh1βKO mice) develop progressive hyperglycemia and dysregulated glucagon secretion similar to that seen in diabetic patients (too much at high glucose and too little at low glucose). The glucagon secretion defects are corrected by low concentrations of tolbutamide and prevented by the sodium-glucose transport (SGLT) inhibitor phlorizin. These data link hyperglycemia, intracellular Na+ accumulation, and acidification to impaired mitochondrial metabolism, reduced ATP production, and dysregulated glucagon secretion. Protein succination, reflecting reduced activity of fumarase, is observed in α cells from hyperglycemic Fh1βKO and β-V59M gain-of-function KATP channel mice, diabetic Goto-Kakizaki rats, and patients with type 2 diabetes. Succination is also observed in renal tubular cells and cardiomyocytes from hyperglycemic Fh1βKO mice, suggesting that the model can be extended to other SGLT-expressing cells and may explain part of the spectrum of diabetic complications.Peer reviewe

Radiative Decay Width of Neutral non-Strange Baryons from PWA

An overview of the GW SAID and ITEP groups effort to analyze pion photoproduction on the neutron-target will be given. The disentanglement the isoscalar and isovector EM couplings of N* and Delta* resonances does require compatible data on both proton and neutron targets. The final-state interaction plays a critical role in the state-of-the-art analysis in extraction of the gamma n --> pi N data from the deuteron target experiments. It is important component of the current JLab, MAMI-C, SPring-8, ELSA, and ELPH programsComment: 7 pages, 7 figures, 1 table; Proceedings of International Conference Dark Matter, Hadron Physics and Fusion Physics, Messina, Italy, Sept. 2014; will be published in EPJ Web of Conference