Discrete generator coordinate: Symmetry restoration in finite-dimensional spaces

Group theoretical-based techniques and fundamental results from number theory are used in order to allow for the construction of exact projectors in finite-dimensional spaces. These operators are shown to make use only of discrete variables, which play the role of discrete generator coordinates, and their application in the number symmetry restoration is carried out in a nuclear BCS wave function which explicitly violates that symmetry. © 1999 Published by Elsevier Science B.V. All rights reserved.

Coordinate-space Faddeev-Hahn-type approach to three-body charge-transfer reactions involving exotic particles

Low-energy muon-transfer cross sections and rates in collisions of muonic atoms with hydrogen isotopes are calculated using a six-state close-coupling approximation to coordinate-space Faddeev-Hahn-type equations. In the muonic case satisfactory results are obtained for all hydrogen isotopes and the experimentaly observed strong isotopic dependence of transfer rates is also reproduced. A comparison with results of other theoretical and available experimental works is presented. The present model also leads to good transfer cross sections in the well-understood problem of antihydrogen formation in antiproton-positronium collision.

Detecting an abnormality in a recovery boiler using dynamic multivariate data analysis with parallel coordinate plots

Data visualization techniques are powerful in the handling and analysis of multivariate systems. One such technique known as parallel coordinates was used to support the diagnosis of an event, detected by a neural network-based monitoring system, in a boiler at a Brazilian Kraft pulp mill. Its attractiveness is the possibility of the visualization of several variables simultaneously. The diagnostic procedure was carried out step-by-step going through exploratory, explanatory, confirmatory, and communicative goals. This tool allowed the visualization of the boiler dynamics in an easier way, compared to commonly used univariate trend plots. In addition it facilitated analysis of other aspects, namely relationships among process variables, distinct modes of operation and discrepant data. The whole analysis revealed firstly that the period involving the detected event was associated with a transition between two distinct normal modes of operation, and secondly the presence of unusual changes in process variables at this time.

The generator coordinate method in the unrestricted Hartree-Fock formalism

The generator coordinate method was implemented in the unrestricted Hartree-Fock formalism. Weight functions were built from Gaussian generator functions for 1s, 2s, and 2p orbitals of carbon and oxygen atoms. These weight functions show a similar behavior to those found in the generator coordinate restricted Hartree-Fock method, i.e., they are smooth, continuous, and tend to zero in the limits of integration. Moreover, the weight functions obtained are different for spin-up and spin-down electrons what is a result from spin polarization. (C) 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012

Servizi di posizionamento e potenzialità degli atti di aggiornamento cartografico in coordinate assolute ETRF2000

Il contesto nazionale è cambiato recentemente per l’introduzione del nuovo Sistema Geodetico coincidente con quello Europeo (ETRS89, frame ETRF00) e realizzato dalle stazioni della Rete Dinamica Nazionale. Sistema geodetico, associato al cartografico UTM_ETRF00, divenuto per decreto obbligatorio nelle Pubbliche Amministrazioni. Questo cambiamento ha consentito di ottenere rilevamenti dei dati cartografici in coordinate assolute ETRF00 molto più accurate. Quando i dati così rilevati vengono utilizzati per aggiornamenti cartografici perdono le coordinate originarie e vengono adattati a particolari cartografici circostanti. Per progettare una modernizzazione delle mappe catastali e delle carte tecniche finalizzata a consentire l’introduzione degli aggiornamenti senza modificarne le coordinate assolute originarie, lo studio è iniziato valutando come utilizzare sviluppi di strutturazione dei dati topografici presenti nel Database Geotopografico, modellizzazioni 3D di fabbricati nelle esperienze catastali INSPIRE, integrazioni in ambito MUDE tra progetti edilizi e loro realizzazioni. Lo studio è proseguito valutando i servizi di posizionamento in tempo reale NRTK presenti in Italia. Inoltre sono state effettuate sperimentazioni per verificare anche in sede locale la precisione e l’affidabilità dei servizi di posizionamento presenti. La criticità della cartografia catastale deriva sostanzialmente dal due fatti: che originariamente fu inquadrata in 850 Sistemi e successivamente fu trasformata in Roma40 con una esigua densità di punti rimisurati; che fino al 1988 fu aggiornata con modalità non rigorose di bassa qualità. Per risolvere tali criticità si è quindi ipotizzato di sfruttare le modalità di rilevamento NRTK per aumentare localmente la densità dei punti rimisurati e reinquadrare le mappe catastali. Il test, realizzato a Bologna, ha comportato un’analisi preliminare per individuare quali Punti Fiduciali considerare coerenti con le specifiche cartografiche per poi utilizzarli e aumentare localmente la densità dei punti rimisurati. La sperimentazione ha consentito la realizzazione del progetto e di inserire quindi i prossimi aggiornamenti senza modificarne le coordinate ETRF00 ottenute dal servizio di posizionamento.

Coordinate isoterme

Questa tesi si propone di verificare l'esistenza di coordinate isoterme su una superficie. Le coordinate isoterme danno localmente una mappa conforme da una varietà riemanniana bidimensionale al piano Euclideo. Se la superficie è orientabile, allora si può dare un atlante di carte isoterme, cioè le cui coordinate associate siano isoterme. Queste coordinate esistono a patto che vengano soddisfatte certe condizioni. Il risultato nelle classi di Holder è dovuto a Korn e Lichtensten. Chern ha notevolmente semplificato la loro dimostrazione.

Clausewitz’s “Wondrous Trinity” as a Coordinate System of War and Violent Conflict

Rather than discarding Clausewitz’s theory of war in response to the revolutionary changes in modern warfare, this article articulates a broader theory of war based on his concept of the “wondrous trinity,” identifying it as his true legacy. The author shows that the concept of trinitarian war attributed to Clausewitz by his critics, which seems to be applicable only to wars between states, is a caricature of Clausewitz’s theory. He goes on to develop Clausewitz’s theory that war is composed of the three tendencies of violence/force, fighting, and the affiliation of the combatants to a warring community. Each war can be analyzed as being composed of these three tendencies and their opposites.

Dominance of the proximal coordinate frame in determining the locations of hippocampal place cell activity during navigation.

The place-specific activity of hippocampal cells provides downstream structures with information regarding an animal's position within an environment and, perhaps, the location of goals within that environment. In rodents, recent research has suggested that distal cues primarily set the orientation of the spatial representation, whereas the boundaries of the behavioral apparatus determine the locations of place activity. The current study was designed to address possible biases in some previous research that may have minimized the likelihood of observing place activity bound to distal cues. Hippocampal single-unit activity was recorded from six freely moving rats as they were trained to perform a tone-initiated place-preference task on an open-field platform. To investigate whether place activity was bound to the room- or platform-based coordinate frame (or both), the platform was translated within the room at an "early" and at a "late" phase of task acquisition (Shift 1 and Shift 2). At both time points, CA1 and CA3 place cells demonstrated room-associated and/or platform-associated activity, or remapped in response to the platform shift. Shift 1 revealed place activity that reflected an interaction between a dominant platform-based (proximal) coordinate frame and a weaker room-based (distal) frame because many CA1 and CA3 place fields shifted to a location intermediate to the two reference frames. Shift 2 resulted in place activity that became more strongly bound to either the platform- or room-based coordinate frame, suggesting the emergence of two independent spatial frames of reference (with many more cells participating in platform-based than in room-based representations).