933 research outputs found
Basic Representations of A_{2l}^(2) and D_{l+1}^(2) and the Polynomial Solutions to the Reduced BKP Hierarchies
Basic representations of A_{2l}^(2) and D_{l+1}^(2) are studied. The weight
vectors are represented in terms of Schur's -functions. The method to get
the polynomial solutions to the reduced BKP hierarchies is shown to be
equivalent to a certain rule in Maya game.Comment: January 1994, 11 page
Knowledge attitude and practice of haemovigilance among doctors in tertiary care hospital in Nagpur, Maharashtra, India
Background: Haemovigilance program of India was launched on December 2012 and is a comprehensive, and a well-structured approach to collect, collate, and analyse data to address the issues of adverse reactions associated with blood transfusion. The information thus collected would facilitate corrective and preventive actions to be taken to minimize the potential risk associated blood collection processing and transfusion to patients. Considering the deep concern over the under-reporting of transfusion reactions prevailing among the doctors, the present study was done to know the knowledge attitude and practice (KAP) of haemovigilance among doctors.Methods: The present study was a cross sectional questionnaire based study, which included doctors of a tertiary care hospital. The purpose of the questionnaire was to know awareness of doctors regarding haemovigilance programme of India. With this study we also tried to  identify the factors responsible for underreporting of transfusion reactions and to find out the possible ways to improve reporting of transfusion reactions.Results: (38.88%) and (30%) of the responders were aware of the haemovigilance programme and transfusion reaction reporting centre respectively. Reporting of transfusion reaction was poor 22.22% among the respondents. According to respondents creating awareness about haemovigilance by conducting continuing medical education (CMEs), and  training to healthcare professionals would lead to improvement in reporting of transfusion reactions. Complacency and ignorance were the main factors which discouraged transfusion reaction reporting by doctors.Conclusions: Increasing awareness of haemovigilance among doctors and training on reporting transfusion reactions would likely improve spontaneous reporting and help to strengthen the blood transfusion system
Highest weight representations of the quantum algebra U_h(gl_\infty)
A class of highest weight irreducible representations of the quantum algebra
U_h(gl_\infty) is constructed. Within each module a basis is introduced and the
transformation relations of the basis under the action of the Chevalley
generators are explicitly written.Comment: 7 pages, PlainTe
Novel classical ground state of a many body system in arbitrary dimensions
The classical ground state of a D- dimensional many body system with two and
three body interactions is studied as a function of the strength of the three
body interaction. We prove exactly that beyond a critical strength of the three
body interaction, the classical ground state of the system is one in which all
the particles are on a line. The positions of the particles in this string
configuration are uniquely determined by the zeros of the Hermite polynomials.Comment: 4 pages, RevTeX, no figure; version to appear in Physical Review
Letter
The Bloch-Okounkov correlation functions of classical type
Bloch and Okounkov introduced an n-point correlation function on the infinite
wedge space and found an elegant closed formula in terms of theta functions.
This function has connections to Gromov-Witten theory, Hilbert schemes,
symmetric groups, etc, and it can also be interpreted as correlation functions
on integrable gl_\infty-modules of level one. Such gl_\infty-correlation
functions at higher levels were then calculated by Cheng and Wang. In this
paper, generalizing the type A results, we formulate and determine the n-point
correlation functions in the sense of Bloch-Okounkov on integrable modules over
classical Lie subalgebras of gl_\infty of type B,C,D at arbitrary levels. As
byproducts, we obtain new q-dimension formulas for integrable modules of type
B,C,D and some fermionic type q-identities.Comment: v2, very minor changes, Latex, 41 pages, to appear in Commun. Math.
Phy
Weight Vectors of the Basic A_1^(1)-Module and the Littlewood-Richardson Rule
The basic representation of \A is studied. The weight vectors are
represented in terms of Schur functions. A suitable base of any weight space is
given. Littlewood-Richardson rule appears in the linear relations among weight
vectors.Comment: February 1995, 7pages, Using AMS-Te
A survey of Hirota's difference equations
A review of selected topics in Hirota's bilinear difference equation (HBDE)
is given. This famous 3-dimensional difference equation is known to provide a
canonical integrable discretization for most important types of soliton
equations. Similarly to the continuous theory, HBDE is a member of an infinite
hierarchy. The central point of our exposition is a discrete version of the
zero curvature condition explicitly written in the form of discrete
Zakharov-Shabat equations for M-operators realized as difference or
pseudo-difference operators. A unified approach to various types of M-operators
and zero curvature representations is suggested. Different reductions of HBDE
to 2-dimensional equations are considered. Among them discrete counterparts of
the KdV, sine-Gordon, Toda chain, relativistic Toda chain and other typical
examples are discussed in detail.Comment: LaTeX, 43 pages, LaTeX figures (with emlines2.sty
The Bloch-Okounkov correlation functions, a classical half-integral case
Bloch and Okounkov's correlation function on the infinite wedge space has
connections to Gromov-Witten theory, Hilbert schemes, symmetric groups, and
certain character functions of \hgl_\infty-modules of level one. Recent works
have calculated these character functions for higher levels for \hgl_\infty
and its Lie subalgebras of classical type. Here we obtain these functions for
the subalgebra of type of half-integral levels and as a byproduct, obtain
-dimension formulas for integral modules of type at half-integral level.Comment: v2: minor changes to the introduction; accepted for publication in
Letters in Mathematical Physic
Virasoro constraint for Nekrasov instanton partition function
We show that Nekrasov instanton partition function for SU(N) gauge theories
satisfies recursion relations in the form of U(1)+Virasoro constraints when
{\beta} = 1. The constraints give a direct support for AGT conjecture for
general quiver gauge theories.Comment: 23 pages, 7 figures. v2: typos correcte
Knowledge and perception about generic drugs in patients coming to OPD of tertiary care centre
Background: In an era of rapidly rising health care costs generic medicines provide a less expensive alternative to branded medicines. In addition to reducing the overall health care expenditure, it has been shown to improve adherence. Objective was to study knowledge and perception about generic drugs among patients coming to outpatient department of tertiary care centre.Methods: After ethical approval a cross sectional questionnaire based study was conducted. Patients (n=71) were interviewed according to questionnaire in vernacular language by investigator to fill questionnaire.Results: About 28% people think that price of generic drug is less than a branded drug while nearly 61% of people don’t know of it. Only 18.85% participants had taken generic medicine. Trusting efficacy of generic drugs only 30 participants were in favour it. Even they have not seen or heard publicity of generic drugs (61.97%). They (60.56%) opined that generic drugs never prescribe in our country.Conclusions: Limitation in knowledge and perception about generic medicines has been seen among participants
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