The intrinsic derivative and centrifugal forces in general relativity: II. Applications to circular orbits in some familiar stationary axisymmetric spacetimes

The tools developed in a preceding article for interpreting spacetime geometry in terms of all possible space-plus-time splitting approaches are applied to circular orbits in some familiar stationary axisymmetric spacetimes. This helps give a more intuitive picture of their rotational features including spin precession effects, and puts related work of Abramowicz, de Felice, and others on circular orbits in black hole spacetimes into a more general context.Comment: 59 pages latex 2.09, uses ijmpd.sty macros, pictex, epsf.sty for 10 eps figures; typographical corrections made compared to published versio

MS Varia 131 of the Biblioteca Reale di Torino and Decembrio's Translation of Curtius Rufus

This article offers a new insight on the manuscript Varia 131 of the Biblioteca Reale di Torino, the earliest known copy of Pier Candido Decembrio's vernacular translation of Curtius Rufus's Historia Alexandri Magni, which was transcribed in 1438 by the Milanese scribe Thomas Guarimbertus and was corrected by Decembrio himself. This manuscript is notable not only for its sumptuous illumination by the Master of the Vitae imperatorum (probably the finest illuminator in early fifteenth-century Lombardy) or its dedicatee (the Spanish knight Iñigo d'Avalos), but also for being one of the first examples of the use of the humanistic littera antiqua to copy a vernacular text. Because of these unique features, the Turin manuscript is an outstanding testimony of the reputation of the vernacular in the Visconti court

Rectifiability of stationary varifolds branching set with multiplicity at most 2

This thesis deals with regularity and rectifiability properties on the branching set of stationary varifolds that can be represented as the graph of a two-valued function. In the first chapter I briefly show the Simon and Wickramasekera’s work in which they introduce a frequency function monotonicity formula for two-valued C1,α functions with stationary graph that leads to an estimate of the Hausdorff dimension of the branching set. In the second chapter I build upon Simon and Wickramasekera’s work and introduce several relaxed frequency functions in order to get an estimate of the Minkowski’s content of the branching set. I then use their result to prove the local (n − 2)-rectifiablility of the branching set

MS Varia 131 of the Biblioteca Reale di Torino and Decembrio\u27s Translation of Curtius Rufus

This article offers a new insight on the manuscript Varia 131 of the Biblioteca Reale di Torino, the earliest known copy of Pier Candido Decembrio’s vernacular translation of Curtius Rufus’s Historia Alexandri Magni, which was transcribed in 1438 by the Milanese scribe Thomas Guarimbertus and was corrected by Decembrio himself. This manuscript is notable not only for its sumptuous illumination by the Master of the Vitae imperatorum (probably the finest illuminator in early fifteenth-century Lombardy) or its dedicatee (the Spanish knight Iñigo d’Avalos), but also for being one of the first examples of the use of the humanistic littera antiqua to copy a vernacular text. Because of these unique features, the Turin manuscript is an outstanding testimony of the reputation of the vernacular in the Visconti court

A multilevel finite element-multibody approach to design the suspension system for the road transportation of SSR1 cryomodule

Cryomodules (CM) represents edge-frontier assemblies in particle physics research field. The road transportation of CM is a critical phase during which the structures can be subjected to significant dynamic loads. It is therefore necessary to design a Transportation Tool (TT) equipped with an appropriate suspension system. This work describes the approach adopted for the design of the TT for the CM PIP-II SSR1 (Proton Improvement Plan-II – Single Spoke Resonators 1), which is firstly introduced in the CM research field. Initially a Finite Element (FE) model was developed, considering the main sub-assemblies of the CM. However, this model was not suitable for the design of the TT due to the high computational burden. For this reason the model was exported as a Modal Neutral File and imported into a MultiBody software (MB) where the remaining components were modeled as concentrated stiffnesses or rigid bodies. The MB model thus obtained has drastically reduced the calculation time, proving to be fundamental in the TT iterative design phase, which involves the use of Helical Isolators (HI) performing the function of mechanical filters. To validate the effectiveness of TT in reducing dynamic loads, a 3D acceleration profile measured during the transport of a similar cryomodule (Linear Coherent Light Source II, LCLS-II) was used. Furthermore, the results of the MB model were used to perform the structural verification of some critical components of the CM

Characterization of convection-related parameters by Raman lidar: Selected case studies from the convective and orographically-induced precipitation study

An approach to determine the convective available potential energy (CAPE) and the convective inhibition (CIN) based on the use of data from a Raman lidar system is illustrated in this work. The use of Raman lidar data allows to provide high temporal resolution measurements (5 min) of CAPE and CIN and follow their evolution over extended time periods covering the full cycle of convective activity. Lidar-based measurements of CAPE and CIN are obtained from Raman lidar measurements of the temperature and water vapor mixing ratio profiles and the surface measurements of temperature, pressure and dew point temperature provided by a surface weather station. The approach is applied to the data collected by the Raman lidar system BASIL in the frame of COPS. Attention was focused on 15 July and 25-26 July 2007. Lidar-based measurements are in good agreement with simultaneous measurements from radiosondes and with estimates from different mesoscale models