abstract         background and objective: one of the main tasks of clinical microbiology laboratories is to determine antibiotic resistance profiles in common pathogens and ensure the selection of effective antibiotics for certain infections. the aim of this study was to compare the methods of disk diffusion, broth microdilution and modified hodge test in escherichia coli isolates from urinary...

This paper proposes a semiring formulation for reasoning about an agent’s changing beliefs: a dynamic epistemic semiring (DES). A DES is a modal semiring extended with a revision operator. The revision operator is given a relational interpretation and a basic calculus is developed – based on the revision operator a contraction operator is also defined. A DES only models actions on an agent’s be...

We show that the usual Hodge conjecture implies the general Hodge conjecture for certain abelian varieties of type III, and use this to deduce the general Hodge conjecture for all powers of certain 4-dimensional abelian varieties of type III. We also show the existence of a Hodge structure M such that M occurs in the cohomology of an abelian variety, but the Tate twist M(1) does not occur in th...

The purpose of this paper is to establish the Lipschitz norm and BMO norm inequalities for the composition of the homotopy operator T and the projection operator H applied to differential forms in R, n ≥ 2. The harmonic projection operator H, one of the key operators in the harmonic analysis, plays an important role in the Hodge decomposition theory of differential forms. In the meanwhile, the ...

The Dirac operator d+ δ on the Hodge complex of a Riemannian manifold is regarded as an annihilation operator A. On a weighted space L2μΩ, [A,A ] acts as multiplication by a positive constant on excited states if and only if the logarithm of the measure density of dμ satisfies a pair of equations. The equations are equivalent to the existence of a harmonic distance function on M . Under these c...

The Gauß–Manin connection is an extra structure on the de Rham cohomology of any algebraic variety, ∇ : H dR/k −→ Ωk ⊗k H dR/k (its definition will appear below). If one believes the Hodge conjecture then for a given pure Hodge structure H there is at most one connection ∇ such that H is a Hodge substructure of a cohomology group of a smooth projective complex variety with ∇ induced by the Gauß...

The notion of B-spline based discrete differential forms is recalled and along with a Finite Element Hodge operator, it is used to design new numerical methods for solving the Vlasov-Poisson equations. Answer’s to the referees’ questions Aurore Back and Eric Sonnendrücker April 12, 2013 We thank the referees for the careful reading of our manuscript and for many interesting comments that helped...

star identification is one of the most important stages in attitude determination with star trackers. this can be performed using matching algorithms between observed stars and a master star catalogue. the main challenge in this approach is to provide a fast and reliable identification algorithm that is sufficiently robust in different pointing views of the star tracker optical system in the sp...

We propose a number of techniques for learning a global ranking from data that may be incomplete and imbalanced — characteristics that are almost universal to modern datasets coming from e-commerce and internet applications. We are primarily interested in cardinal data based on scores or ratings though our methods also give specific insights on ordinal data. From raw ranking data, we construct ...

A linear or multi-linear valuation on a finite abstract simplicial complex can be expressed as an analytic index dim(ker(D)) −dim(ker(D)) of a differential complex D : E → F . In the discrete, a complex D can be called elliptic if a McKean-Singer spectral symmetry applies as this implies str(e 2 ) is t-independent. In that case, the analytic index of D is χ(G,D) = ∑ k (−1)kbk(D), where bk is th...