929 resultados para Solution of mathematical problems
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Objective: This study evaluated colour stability, hardness and roughness of soft denture liners after immersion in various cleansers. Materials and methods: Thirty specimens (14 mm x 4 mm) of Elite Soft Relining (ES) and Mucopren Soft (MS) were randomly immersed in distilled water at 37 degrees C, sodium hypochlorite 1%, and an experimental Ricinus communis solution (RC) for 7, 15 and 183 continuous days. Results: ANOVA (p < 0.05) and Tukey's test indicated that after T7 (mu =8.79 +/- 7.36); T15 (mu = 4.23 +/- 2.62) and T183 (mu = 8.78 +/- 3.16), MS presented a higher increase in hardness than ES. After T7, MS underwent an increase in roughness (mu = 0.09 +/- 0.80); ES underwent a decrease (mu = -0.08 +/- 0.16). RC caused the smallest variation in roughness. After T15, both materials presented an increase in roughness. After T183, ES (mu = -0.30 +/- 0.48) presented a higher roughness variation than MS (mu = -0.07 +/- 0.32). Hypochlorite caused an increase in roughness (mu = 0.02 +/- 0.19). Conclusion: After all periods ES presented higher colour alteration than MS; highest colour alteration was caused by hypochlorite. Both materials were more stable after immersion in RC.
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A charged particle is considered in a complex external electromagnetic field. The field is a superposition of an Aharonov-Bohm field and some additional field. Here we describe all additional fields known up to the present time that allow exact solution of the Schrodinger equation in a complex field.
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Abstract Introduction The natural history of patients with spontaneous parathyroid necrosis is unknown. In this case report we describe the clinical course, laboratory, radiographic, bone densitometry tests, parathyroid ultrasonography and scintigraphy examinations of a patient performed over a period of eight years after she first presented with a sudden episode of spontaneous resolution of primary hyperparathyroidism (PHPT). Case presentation A 24-year-old woman with a clinical history and laboratory and radiographic tests compatible with PHPT suffered a sudden episode of cervical pain and presented with clinical evidence of hypocalcemia. Biopsy of a cervical nodule revealed necrotic material compatible with ischemia of the parathyroid. The follow-up of the patient presented four distinct phases: the first, which lasted two years, was compatible with a period of bone hunger during which it was necessary to introduce calcitriol and calcium carbonate. During this period, the patient showed bone mass gain. The second phase was characterized by normalization of calcium and parathyroid hormone levels and its end was difficult to define. During the third phase there was a recurrence of hypercalcemia associated with elevated parathyroid hormone (PTH) levels and loss of bone mass. The last phase corresponded to the interval after parathyroidectomy, which was characterized by normalization of serum levels of calcium and PTH, as well as bone mass gain. Conclusion This case report indicates that spontaneous resolution of PHPT by adenoma necrosis is potentially temporary. Thus, in cases in which a conservative approach is chosen, clinical and laboratory follow-up is indispensable. Bone mass measurement is a useful tool in the follow-up of these cases. However, this option exposes the patient to a potential roller-coaster ride of bone mass gain and loss, whose long term consequences are still unknown.
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Die Berechnung von experimentell überprüfbaren Vorhersagen aus dem Standardmodell mit Hilfe störungstheoretischer Methoden ist schwierig. Die Herausforderungen liegen in der Berechnung immer komplizierterer Feynman-Integrale und dem zunehmenden Umfang der Rechnungen für Streuprozesse mit vielen Teilchen. Neue mathematische Methoden müssen daher entwickelt und die zunehmende Komplexität durch eine Automatisierung der Berechnungen gezähmt werden. In Kapitel 2 wird eine kurze Einführung in diese Thematik gegeben. Die nachfolgenden Kapitel sind dann einzelnen Beiträgen zur Lösung dieser Probleme gewidmet. In Kapitel 3 stellen wir ein Projekt vor, das für die Analysen der LHC-Daten wichtig sein wird. Ziel des Projekts ist die Berechnung von Einschleifen-Korrekturen zu Prozessen mit vielen Teilchen im Endzustand. Das numerische Verfahren wird dargestellt und erklärt. Es verwendet Helizitätsspinoren und darauf aufbauend eine neue Tensorreduktionsmethode, die Probleme mit inversen Gram-Determinanten weitgehend vermeidet. Es wurde ein Computerprogramm entwickelt, das die Berechnungen automatisiert ausführen kann. Die Implementierung wird beschrieben und Details über die Optimierung und Verifizierung präsentiert. Mit analytischen Methoden beschäftigt sich das vierte Kapitel. Darin wird das xloopsnosp-Projekt vorgestellt, das verschiedene Feynman-Integrale mit beliebigen Massen und Impulskonfigurationen analytisch berechnen kann. Die wesentlichen mathematischen Methoden, die xloops zur Lösung der Integrale verwendet, werden erklärt. Zwei Ideen für neue Berechnungsverfahren werden präsentiert, die sich mit diesen Methoden realisieren lassen. Das ist zum einen die einheitliche Berechnung von Einschleifen-N-Punkt-Integralen, und zum anderen die automatisierte Reihenentwicklung von Integrallösungen in höhere Potenzen des dimensionalen Regularisierungsparameters $epsilon$. Zum letzteren Verfahren werden erste Ergebnisse vorgestellt. Die Nützlichkeit der automatisierten Reihenentwicklung aus Kapitel 4 hängt von der numerischen Auswertbarkeit der Entwicklungskoeffizienten ab. Die Koeffizienten sind im allgemeinen Multiple Polylogarithmen. In Kapitel 5 wird ein Verfahren für deren numerische Auswertung vorgestellt. Dieses neue Verfahren für Multiple Polylogarithmen wurde zusammen mit bekannten Verfahren für andere Polylogarithmus-Funktionen als Bestandteil der CC-Bibliothek ginac implementiert.
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This dissertation deals with two specific aspects of a potential hydrogen-based energy economy, namely the problems of energy storage and energy conversion. In order to contribute to the solution of these problems, the structural and dynamical properties of two promising materials for hydrogen storage (lithium imide/amide) and proton conduction (poly[vinyl phosphonic acid]) are modeled on an atomistic scale by means of first principles molecular dynamics simulation methods.rnrnrnIn the case of the hydrogen storage system lithium amide/imide (LiNH_2/Li_2NH), the focus was on the interplay of structural features and nuclear quantum effects. For these calculations, Path-Integral Molecular Dynamics (PIMD) simulations were used. The structures of these materials at room temperature were elucidated; in collaboration with an experimental group, a very good agreement between calculated and experimental solid-state 1H-NMR chemical shifts was observed. Specifically, the structure of Li_2NH features a disordered arrangement of the Li lattice, which was not reported in previous studies. In addition, a persistent precession of the NH bonds was observed in our simulations. We provide evidence that this precession is the consequence of a toroid-shaped effective potential, in which the protons in the material are immersed. This potential is essentially flat along the torus azimuthal angle, which might lead to important quantum delocalization effects of the protons over the torus.rnrnOn the energy conversion side, the dynamics of protons in a proton conducting polymer (poly[vinyl phosphonic acid], PVPA) was studied by means of a steered ab-initio Molecular Dynamics approach applied on a simplified polymer model. The focus was put on understanding the microscopic proton transport mechanism in polymer membranes, and on characterizing the relevance of the local environment. This covers particularly the effect of water molecules, which participate in the hydrogen bonding network in the material. The results indicate that these water molecules are essential for the effectiveness of proton conduction. A water-mediated Grotthuss mechanism is identified as the main contributor to proton conduction, which agrees with the experimentally observed decay on conductivity for the same material in the absence of water molecules.rnrnThe gain in understanding the microscopic processes and structures present in this materials can help the development of new materials with improved properties, thus contributing to the solution of problems in the implementation of fuel cells.
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Il trattamento numerico dell'equazione di convezione-diffusione con le relative condizioni al bordo, comporta la risoluzione di sistemi lineari algebrici di grandi dimensioni in cui la matrice dei coefficienti è non simmetrica. Risolutori iterativi basati sul sottospazio di Krylov sono ampiamente utilizzati per questi sistemi lineari la cui risoluzione risulta particolarmente impegnativa nel caso di convezione dominante. In questa tesi vengono analizzate alcune strategie di precondizionamento, atte ad accelerare la convergenza di questi metodi iterativi. Vengono confrontati sperimentalmente precondizionatori molto noti come ILU e iterazioni di tipo inner-outer flessibile. Nel caso in cui i coefficienti del termine di convezione siano a variabili separabili, proponiamo una nuova strategia di precondizionamento basata sull'approssimazione, mediante equazione matriciale, dell'operatore differenziale di convezione-diffusione. L'azione di questo nuovo precondizionatore sfrutta in modo opportuno recenti risolutori efficienti per equazioni matriciali lineari. Vengono riportati numerosi esperimenti numerici per studiare la dipendenza della performance dei diversi risolutori dalla scelta del termine di convezione, e dai parametri di discretizzazione.
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Questo scritto mira a fare una panoramica dei problemi legati alla sicurezza della comunicazione tra componenti interne dei veicoli e delle soluzioni oggigiorno disponibili. Partendo con una descrizione generale del circuito interno dell’auto analizzeremo i suoi punti di accesso e discuteremo i danni prodotti dalla sua manomissione illecita. In seguito vedremo se ´è possibile prevenire tali attacchi dando un’occhiata alle soluzioni disponibili e soffermandoci in particolare sui moduli crittografici e le loro applicazioni. Infine presenteremo l’implementazione pratica di un protocollo di autenticazione tra ECUs e una dimostrazione matematica della sua sicurezza.
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In this work we study a polyenergetic and multimaterial model for the breast image reconstruction in Digital Tomosynthesis, taking into consideration the variety of the materials forming the object and the polyenergetic nature of the X-rays beam. The modelling of the problem leads to the resolution of a high-dimensional nonlinear least-squares problem that, due to its nature of inverse ill-posed problem, needs some kind of regularization. We test two main classes of methods: the Levenberg-Marquardt method (together with the Conjugate Gradient method for the computation of the descent direction) and two limited-memory BFGS-like methods (L-BFGS). We perform some experiments for different values of the regularization parameter (constant or varying at each iteration), tolerances and stop conditions. Finally, we analyse the performance of the several methods comparing relative errors, iterations number, times and the qualities of the reconstructed images.
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Chlamydia screening is recommended to prevent pelvic inflammatory disease (PID). A systematic review was conducted to determine how the natural history of Chlamydia trachomatis or Neisseria gonorrhoeae infection and progression to PID have been described in mathematical modeling studies.