Velleda Baldoni, Nicole Berline, Michèle Vergne. Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope. Matthias Beck, Christian Haase, Bruce Reznick, Michèle Vergne, Volkmar Welker and Ruriko Yoshida. Integer Points in Polyhedra-Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics, American Mathematical Society, pp.1...

We propose an alternative for the Clebsch decomposition of currents in fluid mechanics, in terms of complex potentials taking values in a Kähler manifold. We reformulate classical relativistic fluid mechanics in terms of these complex potentials and rederive the existence of an infinite set of conserved currents. We perform a canonical analysis to find the explicit form of the algebra of conser...

A summary of the properties of the Wigner Clebsch-Gordan coefficients and isoscalar factors for the group SU3 in the SU2⊗U1 decomposition is presented. The outer degeneracy problem is discussed in detail with a proof of a conjecture (Braunschweig's) which has been the basis of previous work on the SU3 coupling coefficients. Recursion relations obeyed by the SU3 isoscalar factors are produced, a...

If R, S, T are irreducible SL3(C)-representations, we give an easy and explicit description of a basis of the space of equivariant maps R⊗S → T (Theorem 3.1). We apply this method to the rationality problem for invariant function fields. In particular, we prove the rationality of the moduli space of plane curves of degree 34. This uses a criterion which ensures the stable rationality of some qu...

This article deals with a quantum-mechanical system which generalizes the ordinary isotropic harmonic oscillator system. We give the coefficients connecting the polar and Cartesian bases for D = 2 and the coefficients connecting the Cartesian and cylindrical bases as well as the cylindrical and spherical bases for D = 3. These interbasis expansion coefficients are found to be analytic continuat...

In this article we investigate the structure of a twisted cohomology group of the first homology of a trivalent graph with a coefficient associated with its quantum Clebsch-Gordan condition. By using this investigation we shall show the existence of the external edge cocycles defined in [3] and a finite algorithm to construct such cocycles. Such cocycles are used for a combinatorial realization...

background : uncontrolled and irrational use of antibiotics increases the rate of antimicrobial resistance and treatment failure. compliance with antibiotics is an important indicator to show how patients use their prescribed drugs and it can explain the relationship between drug administration and treatment outcome that needs to be monitored and promoted. we decided to evaluate compliance to a...

background: to find out the knowledge, attitude and compliance with standard precautions among doctors working in a terti­ary care hospital. methods: the cross sectional study was conducted during october 2006 in the form of self reporting questionnaire. the question­naire included question about duration of clinical experience, hepatitis b virus vaccination and its antibody titer, knowl­edge a...

BACKGROUND With increasing age, some changes appeared in specifications of vessels which including dimensions and elasticity in theirs. The changes in parameters such as resistance, inertance and compliance vessels appear and eventually changes in the environmental pulse releases are in circulation. These changes clearly appear in specification of photoplethysmogram particularly in the size and...