Pseudodifferential analysis in Psi*-algebras on transmission spaces, infinite solving ideal chains and K-theory for conformally compact spaces

The present thesis is a contribution to the theory of algebras of pseudodifferential operators on singular settings. In particular, we focus on the $b$-calculus and the calculus on conformally compact spaces in the sense of Mazzeo and Melrose in connection with the notion of spectral invariant transmission operator algebras. We summarize results given by Gramsch et. al. on the construction of $Psi_0$-and $Psi*$-algebras and the corresponding scales of generalized Sobolev spaces using commutators of certain closed operators and derivations. In the case of a manifold with corners $Z$ we construct a $Psi*$-completion $A_b(Z,{}^bOmega^{1/2})$ of the algebra of zero order $b$-pseudodifferential operators $Psi_{b,cl}(Z, {}^bOmega^{1/2})$ in the corresponding $C*$-closure $B(Z,{}^bOmega^{12})hookrightarrow L(L^2(Z,{}^bOmega^{1/2}))$. The construction will also provide that localised to the (smooth) interior of Z the operators in the $A_b(Z, {}^bOmega^{1/2})$ can be represented as ordinary pseudodifferential operators. In connection with the notion of solvable $C*$-algebras - introduced by Dynin - we calculate the length of the $C*$-closure of $Psi_{b,cl}^0(F,{}^bOmega^{1/2},R^{E(F)})$ in $B(F,{}^bOmega^{1/2}),R^{E(F)})$ by localizing $B(Z, {}^bOmega^{1/2})$ along the boundary face $F$ using the (extended) indical familiy $I^B_{FZ}$. Moreover, we discuss how one can localise a certain solving ideal chain of $B(Z, {}^bOmega^{1/2})$ in neighbourhoods $U_p$ of arbitrary points $pin Z$. This localisation process will recover the singular structure of $U_p$; further, the induced length function $l_p$ is shown to be upper semi-continuous. We give construction methods for $Psi*$- and $C*$-algebras admitting only infinite long solving ideal chains. These algebras will first be realized as unconnected direct sums of (solvable) $C*$-algebras and then refined such that the resulting algebras have arcwise connected spaces of one dimensional representations. In addition, we recall the notion of transmission algebras on manifolds with corners $(Z_i)_{iin N}$ following an idea of Ali Mehmeti, Gramsch et. al. Thereby, we connect the underlying $C^infty$-function spaces using point evaluations in the smooth parts of the $Z_i$ and use generalized Laplacians to generate an appropriate scale of Sobolev spaces. Moreover, it is possible to associate generalized (solving) ideal chains to these algebras, such that to every $ninN$ there exists an ideal chain of length $n$ within the algebra. Finally, we discuss the $K$-theory for algebras of pseudodifferential operators on conformally compact manifolds $X$ and give an index theorem for these operators. In addition, we prove that the Dirac-operator associated to the metric of a conformally compact manifold $X$ is not a Fredholm operator.

Changes in Preservice Teachers’ Self-Efficacy: From Science Methods to Student Teaching

The purpose of this research was to assess preservice teachers self-efficacy at different stages of their educational career in an attempt to determine the extent to which self-efficacy beliefs may change over time. In addition, the critical incidents, which may contribute to changes in self-efficacy, were also investigated. The instrument used in the study was the Teaching Science as Inquiry (TSI) Instrument. The TSI Instrument was administered to 38 preservice elementary teachers to measure the self-efficacy beliefs of the teacher participants in regard to the teaching of science as inquiry. Based on the results and the associated data analysis, mean and median values demonstrate positive change for self-efficacy and outcome expectancy throughout the data collection period.

Forget the blood, not the stone! Microhaematuria in acute urolithiasis and the role of early CT scanning

BACKGROUND: Although urinalysis is simple and inexpensive to perform, the finding of microhaematuria on urinalysis may be unreliable for diagnosing urolithiasis. OBJECTIVE: To evaluate microhaematuria as a diagnostic marker for urolithiasis compared with low-dose unenhanced multidetector computed tomography (MDCT) as the "gold standard". SETTING: A level 1 emergency department in a tertiary referral university teaching hospital. DESIGN: Retrospective analysis. METHODS: A study was undertaken to assess whether the finding of microhaematuria was diagnostic for urolithiasis using a low-dose unenhanced MDCT-based diagnosis as the reference standard by reviewing the records of all patients who presented to the emergency department with colicky flank pain and underwent a CT scan between January 2003 and December 2005. RESULTS: Urolithiasis was present (as defined by low-dose unenhanced MDCT) in 507/638 patients (79%); 341/638 (53%) were true positive for urolithiasis, 76 (12%) were true negative, 55 (9%) were false positive and 166 (26%) were false negative. Microhaematuria as a test for urolithiasis in patients presenting to the emergency department therefore has a sensitivity, specificity, positive predictive value and negative predictive value of 67%, 58%, 86% and 31%, respectively. 58% of the urinalysis results were negative for haematuria in the subset of patients with significant alternative diagnoses. CONCLUSIONS: The sensitivity, specificity and negative predictive value of microhaematuria on urinalysis for urolithiasis using unenhanced MDCT as the reference standard were low. This suggests that, when urolithiasis is clinically suspected, unenhanced MDCT is indicated without urinalysis being a prerequisite.

Problems in the classical calculus of variations

This dissertation concerns convergence analysis for nonparametric problems in the calculus of variations and sufficient conditions for weak local minimizer of a functional for both nonparametric and parametric problems. Newton's method in infinite-dimensional space is proved to be well-defined and converges quadratically to a weak local minimizer of a functional subject to certain boundary conditions. Sufficient conditions for global converges are proposed and a well-defined algorithm based on those conditions is presented and proved to converge. Finite element discretization is employed to achieve an implementable line-search-based quasi-Newton algorithm and a proof of convergence of the discretization of the algorithm is included. This work also proposes sufficient conditions for weak local minimizer without using the language of conjugate points. The form of new conditions is consistent with the ones in finite-dimensional case. It is believed that the new form of sufficient conditions will lead to simpler approaches to verify an extremal as local minimizer for well-known problems in calculus of variations.

KrigInv: An efficient and user-friendly implementation of batch-sequential inversion strategies based on kriging

Several strategies relying on kriging have recently been proposed for adaptively estimating contour lines and excursion sets of functions under severely limited evaluation budget. The recently released R package KrigInv 3 is presented and offers a sound implementation of various sampling criteria for those kinds of inverse problems. KrigInv is based on the DiceKriging package, and thus benefits from a number of options concerning the underlying kriging models. Six implemented sampling criteria are detailed in a tutorial and illustrated with graphical examples. Different functionalities of KrigInv are gradually explained. Additionally, two recently proposed criteria for batch-sequential inversion are presented, enabling advanced users to distribute function evaluations in parallel on clusters or clouds of machines. Finally, auxiliary problems are discussed. These include the fine tuning of numerical integration and optimization procedures used within the computation and the optimization of the considered criteria.

Performance Analysis and Comparison between Legacy-PSM and U-APSD

This paper evaluates the performance of the most popular power saving mechanisms defined in the IEEE 802.11 standard, namely the Power Save Mode (Legacy-PSM) and the Unscheduled Automatic Power Save Delivery (U-APSD). The assessment comprises a detailed study concerning energy efficiency and capability to guarantee the required Quality of Service (QoS) for a certain application. The results, obtained in the OMNeT++ simulator, showed that U-APSD is more energy efficient than Legacy-PSM without compromising the end-to- end delay. Both U-APSD and Legacy-PSM revealed capability to guarantee the application QoS requirements in all the studied scenarios. However, unlike U-APSD, when Legacy-PSM is used in the presence of QoS demanding applications, all the stations connected to the network through the same access point will consume noticeable additional energy.

The development of professor's professional knowledge in Psychology

This work belongs to the Project "Teaching and learning Psychology: a study of the educational practice in professors and beginners". It is part of an investigation program developed in the context of the subject "Didactic and Practical Planning of Psychology teaching" in which we have been working since 1998. This subject is also considered as the final stage of the formative itinerary for Psychology s professors. The reached results show the incidence that the beliefs and professors' representations have in the teaching processes. By getting into the studies centered in the educational knowledge we guide the inquiry around the development of the professor's professional knowledge and particularly the development of their formation. Our proposal contemplates a formation device which incorporates the observation, reflection, evaluation and self-evaluation of the practice in order to facilitate the reconstruction, significance and re-significance of the teaching and learning processes by giving relevance to the development of the teacher professional knowledge. The analysis of teaching practices process reveals that the mediations that cross the knowledge in the being taught instances are constituted in reflections axes. This involves the future professor's relationship with the knowledge and their projection in the construction of the professional identity.

The development of professor's professional knowledge in Psychology

This work belongs to the Project "Teaching and learning Psychology: a study of the educational practice in professors and beginners". It is part of an investigation program developed in the context of the subject "Didactic and Practical Planning of Psychology teaching" in which we have been working since 1998. This subject is also considered as the final stage of the formative itinerary for Psychology s professors. The reached results show the incidence that the beliefs and professors' representations have in the teaching processes. By getting into the studies centered in the educational knowledge we guide the inquiry around the development of the professor's professional knowledge and particularly the development of their formation. Our proposal contemplates a formation device which incorporates the observation, reflection, evaluation and self-evaluation of the practice in order to facilitate the reconstruction, significance and re-significance of the teaching and learning processes by giving relevance to the development of the teacher professional knowledge. The analysis of teaching practices process reveals that the mediations that cross the knowledge in the being taught instances are constituted in reflections axes. This involves the future professor's relationship with the knowledge and their projection in the construction of the professional identity.

The development of professor's professional knowledge in Psychology

This work belongs to the Project "Teaching and learning Psychology: a study of the educational practice in professors and beginners". It is part of an investigation program developed in the context of the subject "Didactic and Practical Planning of Psychology teaching" in which we have been working since 1998. This subject is also considered as the final stage of the formative itinerary for Psychology s professors. The reached results show the incidence that the beliefs and professors' representations have in the teaching processes. By getting into the studies centered in the educational knowledge we guide the inquiry around the development of the professor's professional knowledge and particularly the development of their formation. Our proposal contemplates a formation device which incorporates the observation, reflection, evaluation and self-evaluation of the practice in order to facilitate the reconstruction, significance and re-significance of the teaching and learning processes by giving relevance to the development of the teacher professional knowledge. The analysis of teaching practices process reveals that the mediations that cross the knowledge in the being taught instances are constituted in reflections axes. This involves the future professor's relationship with the knowledge and their projection in the construction of the professional identity.

The Double‐Edged Sword Of Interdict: Some More Warnings From History

In this paper I revisit the age-old question of the relationship between philosophy and theology by rejecting the claim that throughout the history of the Christian Church, whenever Christian thinkers have baptized philosophy, they have done so to the detriment of theology. Church history reveals just the opposite, i. e., that sometimes theologians have creatively and fruitfully used philosophical language, concepts, methods, and conclusions to understand and express the faith. In addition, church history records numerous attempts to limit philosophical enquiry for theological reasons that proved unsuccessful and counter-productive. Both types of interaction between philosophy and theology occurred at the University of Paris during the thirteenth century. Despite repeated efforts of some officials to place philosophy under interdict, that is, to ban the reading of particular philosophical works or the teaching of philosophical propositions from the university faculties, a series of university theologians applied Aristotelian tools of enquiry to questions about the Christian faith with positive and constructive results. If academic theology at Paris during the thirteenth century has anything to teach us, it is that interdict cuts both ways. It might protect some theological claims from philosophical contamination or compromise, but it can also insulate theological claims from much needed critical analysis. The thinkers and developments surveyed in this paper suggest that perhaps instead of placing deconstruction under interdict, today’s Christian thinkers should use some of the language, concepts, methods and conclusions of Derrida to further theological understanding.

Awareness of L1 and L2 word-formation mechanisms for the development of a more autonomous L2 learner

Unlike traditional approaches, new communicative trends disregard the role of word-formation mechanisms. They tend to focus on syntax and/or vocabulary without analyzing the mechanisms involved in the creation of lexical items. In this paper, based on the analysis of the use of prefixes by L2 learners in oral and written productions, as provided by the SULEC, we emphasize the advantages that word-formation awareness and knowledge may have for the learners in terms of production, creativity, understanding, autonomy, and proficiency. Through the teaching of word-formation learners may more easily decipher, decode and/or encode messages, create words they have never seen before, etc.

Assessing participation in online discussion forums: a proposal for multidimensional analysis

This paper aims to assess the discussion forums being used in the programme Especialista Universitario online sobre Tecnologías de la Información y la Comunicación, taught at the University of Alicante, on the basis of the analysis model suggested by Kay (2004). In such a model, it is essential to represent graphically the forum activity so that the visual representation may improve analysis. This research has allowed reaching results which define the forum activity and has contributed with a proposal for multi analysis in the area of assessing participation in communication within online discussion forums.

Symposium on mathematics for engineering students being the proceedings of the joint sessions of the Chicago section of the American mathematical society and Section A, Mathematics, and Section D, Mechanical science and engineering of the American Association for the Advancement of Science held at the University of Chicago December 30 and 31, 1907.

Caption title: The American Association for the Advancement of Science. Section D--Mechanical science and engineering. Engineering Mathematics symposium.

Syllabus of mathematics: a symposium

Mode of access: Internet.

Teaching and organisation, with special reference to secondary schools, a manual of practice,

Contains bibliographies.