Painlev\'e's determinateness theorem extended to proper coverings

We extend Painlev\'e's determinateness theorem to the case of first order ordinary differential equations in the complex domain with known terms allowed be multivalued in the dependent variable as well; multivaluedness is supposed to be resolved by proper coverings.Comment: v3: 9 pages - AMS LaTex. Exposition improved. Proof of main theorem restructred. Examples added. Main result essentially unchanged. The author is also known by his natural name "Claudi Meneghin" v2 was a failed attempt at replacing v

Clifton-Pohl torus and geodesic completeness by a 'complex' point of view

We show that a natural complexification and a mild generalization of the idea of completeness guarantee geodesic completeness of Clifton-Pohl torus; we explicitely compute all of its geodesics.Comment: to appear in Complex Variable

A Holomorphic Point of View about Geodesic Completeness

We propose to apply the idea of analytical continuation in the complex domain to the problem of geodesic completeness. We shall analyse rather in detail the cases of analytical warped products of real lines, these ones in parallel with their complex counterparts, and of Clifton-Pohl torus, to show that our definition sheds a bit of new light on the behaviour of 'singularities' of geodesics in space-time. We also show that some geodesics, which 'end' at finite time in the classical sense, can be naturally continued besides their ends. As a matter of fact, complex metrics naturally show a meromorphic behaviour, or a degenerating one, so we shall study also this fact in detail.Comment: Completely revised version - mistakes fixed - 38 pages - LaTeX Please note that the author is also known as "Claudi Meneghin

Resource Re-Allocation During the COVID-19 Pandemic in a Suburban Hospital System: Implications for Outpatient Hip and Knee Arthroplasty

The COVID pandemic of 2020 has emerged as a global threat to patients, health care providers, and to the global economy. Owing to this particular novel and highly infectious strain of coronavirus, the rapid community spread and clinical severity of the subsequent respiratory syndrome created a substantial strain on hospitals and health care systems around the world. The rapid surge of patients presenting over a small period for emergent clinical care, admission to the hospital, and intensive care units with many requiring mechanically assisted ventilators for respiratory support demonstrated the potential to overwhelm health care workers, hospitals, and health care systems. The purpose of this article is to describe an effective system for redeployment of health care supplies, resources, and personnel to hospitals within a suburban academic hospital system to optimize the care of COVID patients, while treating orthopedic patients in an equally ideal setting to maximize their surgical and clinical care. This article will provide a particular focus on the current and future role of a specialty hip and knee hospital and its partnering ambulatory surgery center in the context of an outpatient arthroplasty program

Application of the Lienard-Wiechert solution to a lightning return stroke model

The electric and magnetic fields associated with the lightning return stroke are expressed as a convolution of the current waveform shape and the fields generated by a moving charge of amplitude one (i.e., the Lienard-Wiechert solution for a unit charge). The representation can be used to compute the fields produced by a current waveform of non-uniform velocity that propagates along a filament of arbitrary, but finite, curvature. To study numerically the effects of linear charge acceleration and channel curvature two simple channel models are used: the linear and the hyperbolic