The alpha method for solving differential algebraic inequality (DAI) systems

This paper describes an algorithm for ``direct numerical integration'' of the initial value Differential-Algebraic Inequalities (DAI) in a time stepping fashion using a sequential quadratic programming (SQP) method solver for detecting and satisfying active path constraints at each time step. The activation of a path constraint generally increases the condition number of the active discretized differential algebraic equation's (DAE) Jacobian and this difficulty is addressed by a regularization property of the alpha method. The algorithm is locally stable when index 1 and index 2 active path constraints and bounds are active. Subject to available regularization it is seen to be stable for active index 3 active path constraints in the numerical examples. For the high index active path constraints, the algorithm uses a user-selectable parameter to perturb the smaller singular values of the Jacobian with a view to reducing the condition number so that the simulation can proceed. The algorithm can be used as a relatively cheaper estimation tool for trajectory and control planning and in the context of model predictive control solutions. It can also be used to generate initial guess values of optimization variables used as input to inequality path constrained dynamic optimization problems. The method is illustrated with examples from space vehicle trajectory and robot path planning.

Interpretation of Services Marketing Concepts

Scholarly research has produced conceptual knowledge that is based on real-life marketing phenomena. An initial aim of past research has been to produce marketing knowledge as a base for efficient business operation and for the improvement of productivity. Thus, an assumption has been that the knowledge would be applied by organisations. This study focuses on understanding the use of marketing knowledge within the field of service marketing. Hence, even if marketing knowledge about service-oriented principles and marketing of services is based on empirical research, there is a lack of knowledge on how this marketing knowledge is in fact applied by businesses. The study focuses on four essential concepts of services marketing knowledge, namely service quality, servicescape, internal marketing, and augmented service offering. The research involves four case companies. Data is based on in depth interviews and questionnaire-based surveys conducted with managers, employees, and customers of these companies. All organisations were currently developing in a service-oriented and customer-oriented direction. However, we found limitations, gaps, and barriers for the implementation of service-oriented and customer-oriented principles. Hence, we argue that the organisations involved in the study exploited conceptual knowledge symbolically and conceptually, but the instrumental use of knowledge was limited. Due to the shortcomings found, we also argue that the implementation of the various practices and processes that are related to becoming service-oriented and customer-oriented has not been fully successful. Further, we have come to the conclusion that the shortcomings detected were at least in some respect related to the fact that the understanding and utilisation of conceptual knowledge of service-oriented principles and marketing of services were somewhat limited.

Sliding Modes for the Simulation of Mechanical and Electrical Systems Defined by Differential-Algebraic Equations

We offer a technique, motivated by feedback control and specifically sliding mode control, for the simulation of differential-algebraic equations (DAEs) that describe common engineering systems such as constrained multibody mechanical structures and electric networks. Our algorithm exploits the basic results from sliding mode control theory to establish a simulation environment that then requires only the most primitive of numerical solvers. We circumvent the most important requisite for the conventionalsimulation of DAEs: the calculation of a set of consistent initial conditions. Our algorithm, which relies on the enforcement and occurrence of sliding mode, will ensure that the algebraic equation is satisfied by the dynamic system even for inconsistent initial conditions and for all time thereafter. [DOI:10.1115/1.4001904]

Physical realizations: transforming into physical embodiments of concepts in the design of mechanical movements

Conceptual design involves identification of required functions of the intended design, generation of concepts to fulfill these functions, and evaluation of these concepts to select the most promising ones for further development. The focus of this paper is the second phase-concept generation, in which a challenge has been to develop possible physical embodiments to offer designers for exploration and evaluation. This paper investigates the issue of how to transform and thus synthesise possible generic physical embodiments and reports an implemented method that could automatically generate these embodiments. In this paper, a method is proposed to transform a variety of possible initial solutions to a design problem into a set of physical solutions that are described in terms of abstraction of mechanical movements. The underlying principle of this method is to make it possible to link common attributes between a specific abstract representation and its possible physical objects. For a given input, this method can produce a set of concepts in terms of their generic physical embodiments. The method can be used to support designers to start with a given input-output function and systematically search for physical objects for design consideration in terms of simplified functional, spatial, and mechanical movement requirements.

Trapped ion magnetic resonance: concepts and designs

A novel spectroscopy of trapped ions is proposed which will bring single-ion detection sensitivity to the observation of magnetic resonance spectra. The approaches developed here are aimed at resolving one of the fundamental problems of molecular spectroscopy, the apparent incompatibility in existing techniques between high information content (and therefore good species discrimination) and high sensitivity. Methods for studying both electron spin resonance (ESR) and nuclear magnetic resonance (NMR) are designed. They assume established methods for trapping ions in high magnetic field and observing the trapping frequencies with high resolution (<1 Hz) and sensitivity (single ion) by electrical means. The introduction of a magnetic bottle field gradient couples the spin and spatial motions together and leads to a small spin-dependent force on the ion, which has been exploited by Dehmelt to observe directly the perturbation of the ground-state electron's axial frequency by its spin magnetic moment.

A series of fundamental innovations is described m order to extend magnetic resonance to the higher masses of molecular ions (100 amu = 2x 10^5 electron masses) and smaller magnetic moments (nuclear moments = 10^(-3) of the electron moment). First, it is demonstrated how time-domain trapping frequency observations before and after magnetic resonance can be used to make cooling of the particle to its ground state unnecessary. Second, adiabatic cycling of the magnetic bottle off between detection periods is shown to be practical and to allow high-resolution magnetic resonance to be encoded pointwise as the presence or absence of trapping frequency shifts. Third, methods of inducing spindependent work on the ion orbits with magnetic field gradients and Larmor frequency irradiation are proposed which greatly amplify the attainable shifts in trapping frequency.

The dissertation explores the basic concepts behind ion trapping, adopting a variety of classical, semiclassical, numerical, and quantum mechanical approaches to derive spin-dependent effects, design experimental sequences, and corroborate results from one approach with those from another. The first proposal presented builds on Dehmelt's experiment by combining a "before and after" detection sequence with novel signal processing to reveal ESR spectra. A more powerful technique for ESR is then designed which uses axially synchronized spin transitions to perform spin-dependent work in the presence of a magnetic bottle, which also converts axial amplitude changes into cyclotron frequency shifts. A third use of the magnetic bottle is to selectively trap ions with small initial kinetic energy. A dechirping algorithm corrects for undesired frequency shifts associated with damping by the measurement process.

The most general approach presented is spin-locked internally resonant ion cyclotron excitation, a true continuous Stern-Gerlach effect. A magnetic field gradient modulated at both the Larmor and cyclotron frequencies is devised which leads to cyclotron acceleration proportional to the transverse magnetic moment of a coherent state of the particle and radiation field. A preferred method of using this to observe NMR as an axial frequency shift is described in detail. In the course of this derivation, a new quantum mechanical description of ion cyclotron resonance is presented which is easily combined with spin degrees of freedom to provide a full description of the proposals.

Practical, technical, and experimental issues surrounding the feasibility of the proposals are addressed throughout the dissertation. Numerical ion trajectory simulations and analytical models are used to predict the effectiveness of the new designs as well as their sensitivity and resolution. These checks on the methods proposed provide convincing evidence of their promise in extending the wealth of magnetic resonance information to the study of collisionless ions via single-ion spectroscopy.

The new concepts and new developments in hte theory of polymer crystallization

Recently a debate about the initial crystallization process which has not been the hotspot for a long time since the theory proposed by Hoffman- Lauritzen (LH) dominated the field arose again. For a long time the Hoffman-Lauritzen model was always confronted by criticism,and some of the points were taken up and led to modifications, but the foundation remained unchanged which deemed that before the nucleation and crystallization the system was uniform. In this article the classical nucleation and growth theory of polymer crystallization was reviewed, and the confusion of the explanations to the polymer crystallization phenomenon was pointed out. LH theory assumes that the growth of lamellae is by the direct attachment of chain sequences from the melt onto smooth lateral sides.

D3.1 Benefits Analysis of the Initial Operational Cruiser-Feeder Concept

The REsearch on a CRuiser Enabled Air Transport Environment (RECREATE) project is considers the introduction and airworthiness of cruiser-feeder operations for civil aircraft. Cruiser-feeder operations are investigated as a promising pioneering idea for the air transport of the future. The soundness of the concept of cruiser-feeder operations for civil aircraft can be understood, taking air-to-air refueling operations as an example. For this example, a comprehensive estimate of the benefits can be made, which shows a fuel burn reduction potential and a CO2 emission reduction of 31% for a typical 6000 nautical miles flight with a payload of 250 passengers. This reduction potential is known to be large by any standard. The top level objective of the RECREATE project is to demonstrate on a preliminary design level that cruiser-feeder operations (as a concept to reduce fuel burn and CO2 emission levels) can be shown to comply with the airworthiness requirements for civil aircraft. The underlying Scientific and Technological (S&T) objectives are to determine and study airworthy operational concepts for cruiser-feeder operations, and to derive and quantify benefits in terms of CO2 emission reduction but also other benefits.

Work Package (WP) 3 has the objective to substantiate the assumed benefits of the cruiser/feeder operations through refined analysis and simulation. In this report, initial benefits evaluation of the initial RECREATE cruiser/feeder concepts is presented. The benefits analysis is conducted in delta mode, i.e. comparison is made with a baseline system. Since comparing different aircraft and air transport systems is never a trivial task, appropriate measures and metrics are defined and selected first. Non-dimensional parameters are defined and values for the baseline system derived.

The impact of cruiser/feeder operations such as air-to-air refueling are studied with respect to fuel-burn (or carbon-dioxide), noise and congestion. For this purpose, traffic simulations have been conducted.
Cruiser/feeder operations will have an impact on dispatch reliability as well. An initial assessment of the effect on dispatch reliability has been made and is reported.

Finally, a considerable effort has been made to create the infrastructure for economic delta analysis of the cruiser/feeder concept of operation. First results of the cost analysis have been obtained.

From ideal reactor concepts to reality:The novel drum reactor for photocatalytic wastewater treatment

This article reports the development of a novel drum photocatalytic reactor for treating dye effluent streams. The parameters for operation including drum rotation speed, light source distance, catalyst loading and H2O2 doping have been investigated using methylene blue as a model pollutant. Effluent can be generated by a number of domestic and industrial sources, including pharmaceutical, oil and gas, agricultural, food and chemical sectors. The work reported here proposes the application of semiconductor photocatalysis as a final polishing step for the removal of hydrocarbons from effluents sources, initial studies have proved effective in removing residual hydrocarbons from the effluent.

Contribution à l'étude de la construction des concepts scientifiques au cours de l'apprentissage par problèmes en médecine

L’approche d’apprentissage par problèmes (APP) a vu le jour, dans sa forme contemporaine, à la Faculté de médecine de l’Université MacMaster en Ontario (Canada) à la fin des années 1960. Très rapidement cette nouvelle approche pédagogique active, centrée sur l’étudiant et basée sur les problèmes biomédicaux, va être adoptée par de nombreuses facultés de médecine de par le monde et gagner d’autres disciplines. Cependant, malgré ce succès apparent, l’APP est aussi une approche controversée, notamment en éducation médicale, où elle a été accusée de favoriser un apprentissage superficiel. Par ailleurs, les étudiants formés par cette approche réussiraient moins bien que les autres aux tests évaluant l’acquisition des concepts scientifiques de base, et il n’a jamais été prouvé que les médecins formés par l’APP seraient meilleurs que les autres. Pour mieux comprendre ces résultats, la présente recherche a voulu explorer l’apprentissage de ces concepts scientifiques, en tant que processus de construction, chez des étudiants formés par l’APP, à la Faculté de médecine de l’Université de Montréal, en nous appuyant sur le cadre théorique socioconstructivisme de Vygotski. Pour cet auteur, la formation des concepts est un processus complexe de construction de sens, en plusieurs étapes, qui ne peut se concevoir que dans le cadre d’une résolution de problèmes. Nous avons réalisé une étude de cas, multicas, intrasite, les cas étant deux groupes de neuf étudiants en médecine avec leur tuteur, que nous avons suivi pendant une session complète de la mi-novembre à la mi-décembre 2007. Deux grands objectifs étaient poursuivis: premièrement, fournir des analyses détaillées et des matériaux réflectifs et théoriques susceptibles de rendre compte du phénomène de construction des concepts scientifiques de base par des étudiants en médecine dans le contexte de l’APP. Deuxièmement, explorer, les approches de travail personnel des étudiants, lors de la phase de travail individuel, afin de répondre à la question de recherche suivante : Comment la dynamique pédagogique de l’APP en médecine permet-elle de rendre compte de l’apprentissage des concepts scientifiques de base? Il s’agissait d’une étude qualitative et les données ont été recueillies par différents moyens : observation non participante et enregistrement vidéo des tutoriaux d’APP, interview semi-structuré des étudiants, discussion avec les tuteurs et consultation de leurs manuels, puis traitées par diverses opérations: transcription des enregistrements, regroupement, classification. L’analyse a porté sur des collections de verbatim issus des transcriptions, sur le suivi de la construction des concepts à travers le temps et les sessions, sur le role du tuteur pour aider au développement de ces concepts Les analyses suggèrent que l’approche d’APP est, en général, bien accueillie, et les débats sont soutenus, avec en moyenne entre trois et quatre échanges par minute. Par rapport au premier objectif, nous avons effectivement fourni des explications détaillées sur la dynamique de construction des concepts qui s'étend lors des trois phases de l'APP, à savoir la phase aller, la phase de recherche individuelle et la phase retour. Pour chaque cas étudié, nous avons mis en évidence les représentations conceptuelles initiales à la phase aller, co-constructions des étudiants, sous la guidance du tuteur et nous avons suivi la transformation de ces concepts spontanés naïfs, lors des discussions de la phase retour. Le choix du cadre théorique socio constructiviste de Vygotski nous a permis de réfléchir sur le rôle de médiation joué par les composantes du système interactif de l'APP, que nous avons considéré comme une zone proximale de développement (ZPD) au sens élargi, qui sont le problème, le tuteur, l'étudiant et ses pairs, les ressources, notamment l'artefact graphique carte conceptuelle utilisée de façon intensive lors des tutoriaux aller et retour, pour arriver à la construction des concepts scientifiques. Notre recherche a montré qu'en revenant de leurs recherches, les étudiants avaient trois genres de représentations conceptuelles: des concepts corrects, des concepts incomplets et des concepts erronés. Il faut donc que les concepts scientifiques théoriques soient à leur tour confrontés au problème concret, dans l'interaction sociale pour une validation des attributs qui les caractérisent. Dans cette interaction, le tuteur joue un rôle clé complexe de facilitateur, de médiateur, essentiellement par le langage. L'analyse thématique de ses interventions a permis d'en distinguer cinq types: la gestion du groupe, l'argumentation, les questions de différents types, le modelling et les conclusions. Nous avons montré le lien entre les questions du tuteur et le type de réponses des étudiants, pour recommander un meilleur équilibre entre les différents types de questions. Les étudiants, également par les échanges verbaux, mais aussi par la construction collective des cartes conceptuelles initiales et définitives, participent à une co-construction de ces concepts. L'analyse de leurs interactions nous a permis de relever différentes fonctions du langage, pour souligner l'intérêt des interactions argumentatives, marqueurs d'un travail collaboratif en profondeur pour la co-construction des concepts Nous avons aussi montré l'intérêt des cartes conceptuelles non seulement pour visualiser les concepts, mais aussi en tant qu'artefact, outil de médiation psychique à double fonction communicative et sémiotique. Concernant le second objectif, l’exploration du travail personnel des étudiants, on constate que les étudiants de première année font un travail plus approfondi de recherche, et utilisent plus souvent des stratégies de lecture plus efficaces que leurs collègues de deuxième année. Ceux-ci se contentent, en général, des ouvrages de référence, font de simples lectures et s’appuient beaucoup sur les résumés faits par leurs prédécesseurs. Le recours aux ouvrages de référence essentiellement comme source d'information apporte une certaine pauvreté au débat à la phase retour avec peu d'échanges de type argumentatif, témoins d'un travail profond. Ainsi donc, par tout ce soutien qu'elle permet d'apporter aux étudiants pour la construction de leurs connaissances, pour le type d'apprentissage qu'elle offre, l’APP reste une approche unique, digne d’intérêt. Cependant, elle nécessite d'être améliorée par des interventions au niveau du tuteur et des étudiants.

Entanglement analysis of atomic processes and quantum registers

During recent years, quantum information processing and the study of N−qubit quantum systems have attracted a lot of interest, both in theory and experiment. Apart from the promise of performing efficient quantum information protocols, such as quantum key distribution, teleportation or quantum computation, however, these investigations also revealed a great deal of difficulties which still need to be resolved in practise. Quantum information protocols rely on the application of unitary and non–unitary quantum operations that act on a given set of quantum mechanical two-state systems (qubits) to form (entangled) states, in which the information is encoded. The overall system of qubits is often referred to as a quantum register. Today the entanglement in a quantum register is known as the key resource for many protocols of quantum computation and quantum information theory. However, despite the successful demonstration of several protocols, such as teleportation or quantum key distribution, there are still many open questions of how entanglement affects the efficiency of quantum algorithms or how it can be protected against noisy environments. To facilitate the simulation of such N−qubit quantum systems and the analysis of their entanglement properties, we have developed the Feynman program. The program package provides all necessary tools in order to define and to deal with quantum registers, quantum gates and quantum operations. Using an interactive and easily extendible design within the framework of the computer algebra system Maple, the Feynman program is a powerful toolbox not only for teaching the basic and more advanced concepts of quantum information but also for studying their physical realization in the future. To this end, the Feynman program implements a selection of algebraic separability criteria for bipartite and multipartite mixed states as well as the most frequently used entanglement measures from the literature. Additionally, the program supports the work with quantum operations and their associated (Jamiolkowski) dual states. Based on the implementation of several popular decoherence models, we provide tools especially for the quantitative analysis of quantum operations. As an application of the developed tools we further present two case studies in which the entanglement of two atomic processes is investigated. In particular, we have studied the change of the electron-ion spin entanglement in atomic photoionization and the photon-photon polarization entanglement in the two-photon decay of hydrogen. The results show that both processes are, in principle, suitable for the creation and control of entanglement. Apart from process-specific parameters like initial atom polarization, it is mainly the process geometry which offers a simple and effective instrument to adjust the final state entanglement. Finally, for the case of the two-photon decay of hydrogenlike systems, we study the difference between nonlocal quantum correlations, as given by the violation of the Bell inequality and the concurrence as a true entanglement measure.

Generalized solutions of a nonlinear parabolic equation with generalized functions as initial data

In [H. Brezis, A. Friedman, Nonlinear parabolic equations involving measures as initial conditions, J. Math. Pure Appl. (9) (1983) 73-97.] Brezis and Friedman prove that certain nonlinear parabolic equations, with the delta-measure as initial data, have no solution. However in [J.F. Colombeau, M. Langlais, Generalized solutions of nonlinear parabolic equations with distributions as initial conditions, J. Math. Anal. Appl (1990) 186-196.] Colombeau and Langlais prove that these equations have a unique solution even if the delta-measure is substituted by any Colombeau generalized function of compact support. Here we generalize Colombeau and Langlais` result proving that we may take any generalized function as the initial data. Our approach relies on recent algebraic and topological developments of the theory of Colombeau generalized functions and results from [J. Aragona, Colombeau generalized functions on quasi-regular sets, Publ. Math. Debrecen (2006) 371-399.]. (C) 2009 Elsevier Ltd. All rights reserved.

Um estudo sobre a aprendizagem de alguns conceitos algébricos e geométricos

The objective of the present work was develop a study about the writing and the algebraic manipulation of symbolical expressions for perimeter and area of some convex polygons, approaching the properties of the operations and equality, extending to the obtaining of the formulas of length and area of the circle, this one starting on the formula of the perimeter and area of the regular hexagon. To do so, a module with teaching activities was elaborated based on constructive teaching. The study consisted of a methodological intervention, done by the researcher, and had as subjects students of the 8th grade of the State School Desembargador Floriano Cavalcanti, located on the city of Natal, Rio Grande do Norte. The methodological intervention was done in three stages: applying of a initial diagnostic evaluation, developing of the teaching module, and applying of the final evaluation based on the Mathematics teaching using Constructivist references. The data collected in the evaluations was presented as descriptive statistics. The results of the final diagnostic evaluation were analyzed in the qualitative point of view, using the criteria established by Richard Skemp s second theory about the comprehension of mathematical concepts. The general results about the data from the evaluations and the applying of the teaching module showed a qualitative difference in the learning of the students who participated of the intervention

Antimicrobial treatment concepts for orthopaedic device-related infection

Successful management of orthopaedic device-related infections requires combined surgical and antimicrobial therapy. Because of the heterogeneity of clinical situations, controlled trials are lacking. Although rational concepts for surgical treatment have been published, many aspects of antimicrobial therapy are still not well documented. In this review, some of these knowledge gaps are discussed, and rational arguments for initial parenteral treatment are presented. In addition, the interpretation of data regarding bone penetration is discussed. Whereas rifampin is now a standard combination partner in the treatment of staphylococcal infections, its role against other microorganisms is still unclear. Finally, in view of the increasing prevalence of methicillin-resistant staphylococci and their decreasing susceptibility to vancomycin, data are provided on linezolid and daptomycin, which can potentially be used in bone and joint infections.

Clinical evaluation of 3 overdenture concepts with tooth roots and implants: 2-year results

PURPOSE: In the present cohort study, overdentures with a combined root and implant support were evaluated and compared with either exclusively root- or implant-supported overdentures. Results of a 2-year follow-up period are reported, namely survival of implants, root copings, and prostheses, plus prosthetic complications, maintenance service, and patient satisfaction. MATERIALS AND METHODS: Fourteen patients were selected for the combined overdenture therapy and were compared with 2 patient groups in which either roots or implants provided overdenture support. Altogether, 14, 17, and 15 patients (in groups 1, 2, and 3, respectively) were matched with regard to age, sex, treatment time, and observation period. The mean age was around 67 years. Periodontal parameters were recorded, radiographs were taken, and all complications and failures were registered during the entire observation time. The patients answered a 9-item questionnaire by means of a visual analogue scale (VAS). RESULTS: One implant failed and 1 tooth root was removed following longitudinal root fracture. Periodontal/peri-implant parameters gave evidence of good oral hygiene for roots and implants, and slight crestal bone resorption was measured for both. Technical complications and service performed were significantly higher in the first year (P < .04) in all 3 groups and significantly higher in the tooth root group (P < .03). The results of the VAS indicated significantly lower scores for satisfaction, speaking ability, wearing comfort, and denture stability with combined or exclusive root support (P < .05 and .02, respectively). Initial costs of overdentures with combined or root support were 10% lower than for implant overdentures. CONCLUSION: The concept of combined root and implant support can be integrated into treatment planning and overdenture design for patients with a highly reduced dentition.