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The principal properties of geodesic normal coordinates are the vanishing of the connection components and first derivatives of the metric components at some point. It is well-known that these hold only at points where the connection has vanishing torsion and nonmetricity. However, it is shown that normal frames, possessing the essential features of normal coordinates, can still be constructed ...

In this paper we show how to extend KEM, a tableau-like proof system for normal modal logic, in order to deal with classes of non-normal modal logics, such as monotonic and regular, in a uniform and modular way.

Let f be a measure-preserving transformation of a Lebesgue space (X,μ) and let F be its extension to a bundle E = X × R by smooth fiber maps Fx : Ex → Efx so that the derivative of F at the zero section has negative Lyapunov exponents. We construct a measurable system of smooth coordinate changes Hx on Ex for μ-a.e. x so that the maps Px = Hfx ◦Fx ◦H−1 x are sub-resonance polynomials in a finit...

We show that there is a perfectly normal non-metrizable manifold if there is a Luzin subset of the real line, and that there is a countably compact perfectly normal non-metrizable manifold in any model of set-theory obtained by adding Cohen reals to a model of ZFC +♦.

In the investigation of suspected visual disorders electroretinography (ERG) is of considerable clinical value. The ERG is usually recorded from a contact-lens type of electrode placed over the cornea. Although this is possible in co-operative adults using only local anaesthesia, the placement of a contact lens electrode in a young or retarded patient is usually not tolerated without a general ...

‎given a finite non-cyclic group $g$‎, ‎call $sigma(g)$ the smallest number of proper subgroups of $g$ needed to cover $g$‎. ‎lucchini and detomi conjectured that if a nonabelian group $g$ is such that $sigma(g) < sigma(g/n)$ for every non-trivial normal subgroup $n$ of $g$ then $g$ is textit{monolithic}‎, ‎meaning that it admits a unique minimal normal subgroup‎. ‎in this paper we show how thi...

The adoption by Medicare in 1983 of prospective payment using diagnosis-related groups (DRGs) has stimulated research to develop case-mix grouping schemes that more accurately predict resource consumption by patients. In this article, the authors explore a new method designed to improve case-mix classification for newborns through the use of birth weight in combination with DRGs to adjust the u...