in this paper, a pointwise pseudo-metric function on the l-realline is constructed. it is proved that the topology induced by this pointwisepseudo-metric is the usual topology.

Measuring the transmitted information in metric-based clustering has become something of a standard test for the performance of a spike train metric. In this comment, the recently proposed Lp VictorPurpura metric is used to cluster spiking responses to zebra finch songs, recorded from field L of anesthetized zebra finch. It is found that for these data the Lp metrics with p > 1 modestly outperf...

Measuring the transmitted information in metric-based clustering has become something of a standard test for the performance of a spike train metric. In this comment, the recently proposed Lp VictorPurpura metric is used to cluster spiking responses to zebra finch songs, recorded from field L of anesthetized zebra finch. It is found that for these data the Lp metrics with p > 1 modestly outperf...

We introduce and study a class l dom 1 () of l 1-embeddable metrics corresponding to a given metric. This class is deened as the set of all convex combinations of-dominated line metrics. Such metrics were implicitly used before in several constuctions of low-distortion embeddings into l p-spaces, such as Bourgain's embedding of an arbitrary metric on n points with O(log n) distortion. Our main ...

a simple, sensitive, accurate and precise simultaneous uv spectrophotometric method has been developed for the estimation of carisoprodol, paracetamol and caffeine in tablet dosage form. the absorption maxima of the drugs were found to be 221, 248 and 273 nm for carisoprodol, paracetamol and caffeine respectively, in methanol, using a double beam uv/visible spectrophotometer. carisoprodol, para...

We construct a natural L-metric on the perturbed Seiberg-Witten moduli spaces Mμ+ of a compact 4-manifold M , and we study the resulting Riemannian geometry of Mμ+ . We derive a formula which expresses the sectional curvature of Mμ+ in terms of the Green operators of the deformation complex of the Seiberg-Witten equations. In case M is simply connected, we construct a Riemannian metric on the S...

We construct a Kähler structure (J,Ω, G) on the space L(H) of oriented geodesics of hyperbolic 3-space H and investigate its properties. We prove that (L(H), J) is biholomorphic to P×P−∆, where ∆ is the reflected diagonal, and that the Kähler metric G is of neutral signature, conformally flat and scalar flat. We establish that the identity component of the isometry group of the metric G on L(H)...

The integration of marketing and demand with logistics and inventories (supply side of companies) may cause multiple improvements; it can revolutionize the management of the revenue of rental companies, hotels, and airlines. In this paper, we develop a multi-objective pricing-inventory model for a retailer. Maximizing the retailer's profit and the service level are the objectives, and shorta...

A metric complex M is a connected, locally-finite simplicial complex linearly embedded in some Euclidean space R. Metric complexes M and M' are isometric if they have subdivisions L and L and if there is a simplicial isomorphism h:L -• L such that for every a e L, the linear map determined by h\a -• h(a) is an isometry (that is, it extends to an isometry of the affine spaces generated by these ...