On Pythagoras' theorem for products of spectral triples

We discuss a version of Pythagoras theorem in noncommutative geometry. Usual Pythagoras theorem can be formulated in terms of Connes' distance, between pure states, in the product of commutative spectral triples. We investigate the generalization to both non pure states and arbitrary spectral triples. We show that Pythagoras theorem is replaced by some Pythagoras inequalities, that we prove for the product of arbitrary (i.e. non-necessarily commutative) spectral triples, assuming only some unitality condition. We show that these inequalities are optimal, and provide non-unital counter-examples inspired by K-homology.Comment: Paper slightly shortened to match the published version; Lett. Math. Phys. 201

Is life a thermal horizon ?

This talk aims at questioning the vanishing of Unruh temperature for an inertial observer in Minkovski spacetime with finite lifetime, arguing that in the non eternal case the existence of a causal horizon is not linked to the non-vanishing of the acceleration. This is illustrated by a previous result, the diamonds temperature, that adapts the algebraic approach of Unruh effect to the finite case.Comment: Proceedings of the conference DICE 2006, Piombino september 200

Connes distance and optimal transport

We give a brief overview on the relation between Connes spectral distance in noncommutative geometry and the Wasserstein distance of order 1 in optimal transport. We first recall how these two distances coincide on the space of probability measures on a Riemannian manifold. Then we work out a simple example on a discrete space, showing that the spectral distance between arbitrary states does not coincide with the Wasserstein distance with cost the spectral distance between pure states

Information, formation and training for the maintenance operations: the lesson learned from fatal accidents

The list of possible machinery / equipment-related injuries is as long as it is worrying; they represent a non-negligible part of the total accidents in most industrial sectors, in terms of both numbers and severity, in normal conditions and during the maintenance operations. Lack of maintenance or inadequate maintenance can lead to dangerous situations, accidents and health problems; but, at the same time, maintenance itself is a high-risk activity due to special hazards resulting from the particular nature of the work. Moreover, the workers involved are more likely than other employees directly exposed to the risks, since direct contact between the worker and the machinery to be maintained cannot be substantially reduced

Museums and the making of textile histories: Past, present, and future

Many different types of museums collect, document, and preserve textiles, interpreting them through temporary and semi-permanent exhibitions, publications, and web- site interventions – sometimes independently, sometimes as part of a broader histo- ry of art and design, science and technology, social history and anthropology, local history or world cultures (for example, see the range and approaches in major fash- ion capitals such as London, Paris, Milan, New York with a long tradition of textile production as well as consumption, and in manufacturing cities such as Krefeld, Lyon, Manchester). Nonetheless, textile-focused events seldom receive great public attention or crit- ical acclaim, with the possible exceptions of innovative temporary exhibitions such as Jean-Paul Leclercq, “Jouer la Lumière” (Paris, Les Arts Décoratifs, 2001); Thomas P. Campbell, “Tapestry in the Renaissance: Art and Magnificence” (New York, The Metropolitan Museum of Art, 2002); Amelia Peck et al., “Interwoven Globe. The Worldwide Textile Trade, 1500-1800” (New York, The Metropolitan Museum of Art, 2013-2014); John Styles, “Threads of Feeling” (London, The Foundling Hospital, 2010-2011; Colonial Williamsburg, 2014).1 The aims of this debate are to draw on the different cultural experiences and disciplinary backgrounds of participants: – To generate discussion over the role of museums in making and representing tex- tile histories. Museums are not only depositories of textile objects, but also write or make both public and academic history through displays and publications. But how does their work relate to university research and dissemination, feed such research, or react to it? How might interactions between museums and universities in different regions and cultures be developed in the future? – To consider where innovative museum work is being undertaken (locally, region- ally, nationally, internationally), wherein lies its innovation, and how it might suggest directions for the future (in collecting, interpretation, etc.). By interpreta- tion, I mean any analogue or digital explanation that contextualizes the objects on display. – To suggest that the most dynamic study of objects from 1500 to the present is no longer limited to art historians – indeed, that the focus in art history on textiles that belong within a well-established tradition of connoisseurship (in which tap- estries and high-end commissions for wall-hangings dominate) is being challenged by the adoption of a more inclusive approach among historians, design historians, and historians of material culture. [Lesley Miller] EAN: 978-2-917902-31-

La concimazione del rosmarino

Nell\u2019accertare le asportazioni di azoto, fosforo e potassio, si osserva che la concimazione influenzerebbe la qualit\ue0 dell\u2019olio essenziale

Minimal length in quantum space and integrations of the line element in Noncommutative Geometry

We question the emergence of a minimal length in quantum spacetime, comparing two notions that appeared at various points in the literature: on the one side, the quantum length as the spectrum of an operator L in the Doplicher Fredenhagen Roberts (DFR) quantum spacetime, as well as in the canonical noncommutative spacetime; on the other side, Connes' spectral distance in noncommutative geometry. Although on the Euclidean space the two notions merge into the one of geodesic distance, they yield distinct results in the noncommutative framework. In particular on the Moyal plane, the quantum length is bounded above from zero while the spectral distance can take any real positive value, including infinity. We show how to solve this discrepancy by doubling the spectral triple. This leads us to introduce a modified quantum length d'_L, which coincides exactly with the spectral distance d_D on the set of states of optimal localization. On the set of eigenstates of the quantum harmonic oscillator - together with their translations - d'_L and d_D coincide asymptotically, both in the high energy and large translation limits. At small energy, we interpret the discrepancy between d'_L and d_D as two distinct ways of integrating the line element on a quantum space. This leads us to propose an equation for a geodesic on the Moyal plane.Comment: 29 pages, 2 figures. Minor corrections to match the published versio

Case mix at the European Institute of Oncology: first report of the Tumour Registry, 2000–2002

Introduction: An institutional and centralized hospital-based tumour registry (TR) is the ideal supporting tool for the organization and management of clinical data in a comprehensive cancer centre. The purpose of this paper is to describe the development of the TR at the European Institute of Oncology (IEO) in Milan, Italy, from its origin to its current applications. Material and methods: After a series of meetings with members of administrative, clinical, research and informatics departments, the TR was activated in March 2006 with the aim to collect data on all the individuals referring to the Institute, with or at risk of developing a tumour. It was implemented on an Oracle\u2122-based interface. A minimum data set of variables was defined and data collection was divided into four forms, which together gather all the relevant data on patients, tumours, treatments and subsequent events. Results: After a 6-month pilot period, which involved the training of the tumour registrars, adjustments to the structure of the registry, development of data quality control procedure and finalization of the operative protocol, from September 2006 the data collection has been fully operative. Five registrars have been chronologically entering data of all individuals who visited the IEO for the first time since 1st January 2000. As of March 2009, data on 69,637 individuals and 43,567 tumours has been reviewed, recoded and registered in the TR. Twenty-two percent of the tumours (n=9,578) were first invasive primaries, diagnosed and treated in IEO; the most common sites were breast (n=4,972), lung (n=627), intestines (n=479) and prostate (n=376). Conclusion: The IEO TR has been proven functional and reliable in monitoring the activity of the Hospital, allowing extraction of data from any subpopulation with characteristics of interest. The structured and centralized TR represents an important tool for our research-oriented Institution