Problema di Cauchy-Dirichlet per l'equazione del calore

In quest'elaborato si risolve il problema di Cauchy-Dirichlet per l'equazione del calore, prendendo come oggetto d'esame una sbarra omogenea. Nel primo capitolo si studiano le serie di Fourier reali a partire dalle serie trigonometriche; vengono dati, poi, i principali risultati di convergenza puntuale, uniforme ed in L^2 e si discute l'integrabilità termine a termine di una serie di Fourier. Il secondo capitolo tratta la convergenza secondo Cesàro, le serie di Fejèr ed i principali risultati di convergenza di queste ultime. Nel terzo, ed ultimo, capitolo si risolve il Problema di Cauchy-Dirichlet, distinguendo i casi in cui il dato iniziale sia di classe C^1 o solo continuo; nel secondo caso si propone una risoluzione basata sulle serie di Fejér e sul concetto di barriera ed una utilizzando il nucleo di Green per l'equazione del calore.

Perceptions of Character Education in a Seventh-Day Adventist School

Character education has been viewed by many educators as having significant historical, academic, and social value. Many stakeholders in education argue for character development as a curricular experience. While understanding the degree to which character education is of worth to stakeholders of institutions is important, understanding students, teachers, and administrators perspectives from their lived experiences is likewise significant. The purpose of this phenomenological study was to gain a deeper understanding of character education within a Biblical framework environment by examining the lived experiences of students, administrators, and teachers of a Seventh-day Adventist School. Phenomenology describes individuals’ daily experiences of phenomena, the manner in which these experiences are structured, and focuses analysis on the perspectives of the persons having the experience (Moustakas, 1994). ). This inquiry was undertaken to answer the question: What are the perceptions of students, teachers, and an administrator toward character education in a Seventh-day Adventist school setting? Ten participants (seven students and three adults) formed the homogeneous purposive sample, and the major data collection tool was semi-structured interviews (Patton, 1990; Seidman, 2006). Three 90-minute open-ended interviews were conducted with each of the participants. Data analysis included a three-phase process of description, reduction and interpretation. The findings from this study revealed that participants perceived that their involvement in the school’s character education program decreased the tendency to violence, improved their conduct and ethical sensibility, enhanced their ability to engage in decision-making concerning social relationships and their impact on others, brought to their attention the emerging global awareness of moral deficiency, and fostered incremental progress from practice and recognition of vices to their acquisition of virtues. The findings, therefore, provide a model for teaching character education from a Seventh-day Adventist perspective. The model is also relevant for non-Seventh day Adventists who aspire to teach character education as a means to improving social and moral conditions in schools.

Goma Curriculum, A Character Education Paradigm: Composing a Text for Shaping Classroom Character Culture

The written text, and approaches to reading it, serves well as an analogy for the classroom space as a “text” that teachers are able to compose; and students are able to read, interpret meaning(s) of, and make responses to and about (Rosenblatt, 1988). Researchers point to ways in which the classroom can be conceptualized as a text to be evoked, experienced, and read (Freire & Macedo, 1987; Powell, 2009; Rosenblatt, 1988; Spears-Bunton & Powell, 2009). The present study analyzed secondary data including: 10 transcripts of teacher talks and six self-reports retrieved from the program evaluation archives of DOR Foundation. The data described six teachers’ classroom experiences subsequent to professional development centered on Goma character education curriculum that was used during a summer youth program located in South Georgia. Goma, an acronym that stands for Goal, Objective, Method, and Attitude, is a character education paradigm derived from The Inclusive Community Building Ellison Model, the theoretical framework used for this study. The Model identifies conflict resolution as one of its five foci (Hunt, Howard, & Rice, 1998). Hunt (2006) conceived Goma as part of a 7-Step unitary process, also named the 7-Step pathway, to demonstrate how conflict resolution is accomplished within a variety of contexts. Analysis of the data involved: (a) a priori coding of teacher talks transcripts using the components of the Goma 7-Step pathway as coding categories, (b) emergent coding of teacher talks transcripts for the types of experiences teachers evidenced, and (c) emergent coding of teachers’ self-reports for categories of teachers’ instructional activities. Results of the study showed positive influence of Goma curriculum on participating teachers and their instructional practices. Teachers were shown to have had cognitive, instructional, emotional, and social experiences that were most evident when they reported changes in their attitudes toward their students, themselves, and their instructional practices. The present study provided implications for classroom teachers wherein all aspects of teachers’ instructional practices can be guided by principles of positive character; and can be used to help compose the kinds of “texts” that may likely contribute to a classroom character culture.

Simple approximate MAP inference for Dirichlet processes mixtures

The Dirichlet process mixture model (DPMM) is a ubiquitous, flexible Bayesian nonparametric statistical model. However, full probabilistic inference in this model is analytically intractable, so that computationally intensive techniques such as Gibbs sampling are required. As a result, DPMM-based methods, which have considerable potential, are restricted to applications in which computational resources and time for inference is plentiful. For example, they would not be practical for digital signal processing on embedded hardware, where computational resources are at a serious premium. Here, we develop a simplified yet statistically rigorous approximate maximum a-posteriori (MAP) inference algorithm for DPMMs. This algorithm is as simple as DP-means clustering, solves the MAP problem as well as Gibbs sampling, while requiring only a fraction of the computational effort. (For freely available code that implements the MAP-DP algorithm for Gaussian mixtures see http://www.maxlittle.net/.) Unlike related small variance asymptotics (SVA), our method is non-degenerate and so inherits the “rich get richer” property of the Dirichlet process. It also retains a non-degenerate closed-form likelihood which enables out-of-sample calculations and the use of standard tools such as cross-validation. We illustrate the benefits of our algorithm on a range of examples and contrast it to variational, SVA and sampling approaches from both a computational complexity perspective as well as in terms of clustering performance. We demonstrate the wide applicabiity of our approach by presenting an approximate MAP inference method for the infinite hidden Markov model whose performance contrasts favorably with a recently proposed hybrid SVA approach. Similarly, we show how our algorithm can applied to a semiparametric mixed-effects regression model where the random effects distribution is modelled using an infinite mixture model, as used in longitudinal progression modelling in population health science. Finally, we propose directions for future research on approximate MAP inference in Bayesian nonparametrics.

E-polynomial of SL(2,C)-character varieties of complex curves of genus 3.

We compute the E-polynomials of the moduli spaces of representations of the fundamental group of a complex curve of genus g = 3 into SL(2, C), and also of the moduli space of twisted representations. The case of genus g = 1, 2 has already been done in [12]. We follow the geometric technique introduced in [12], based on stratifying the space of representations, and on the analysis of the behaviour of the E-polynomial under fibrations.

Character in Context: Informing Character Education Programming

The Positive Youth Development (PYD) perspective is a strength-based conceptualization of youth. It highlights the importance of mutually beneficial relationships between youth and their environment to develop the “Five Cs”, key assets that include character. Character has long been a subject of programming due to its focus on helping children lead moral, empathic, and prosocial lives. There are, however, many limitations in character research, including poorly operationalized definitions of character; a failure to examine the developmental and broader social context in which character exists; and a lack of evaluation of more practical character programming. The goal of this dissertation was to address these gaps in knowledge and inform the character education programming literature. The first study examined the relationships among age, gender, the school social context, and character. Moral character was negatively associated with grade, and being a girl was positively associated with moral character. The relationships between positive peer interactions at school and character (fairness, integrity) were stronger among students who reported low initial moral character when positive peer interactions was high. In the second study, the Build Character: Build Success Program, a character education program, was evaluated over six months to examine its effects on character behaviours, victimization, and school climate. No program effects were found for students in grades 1 to 3, but a slight decrease in victimization in one experimental school was found for students in grades 4 to 8. This lack of general program effects may be due to the short-term nature of the intervention, which may not have been long enough to result in measurable behaviour change. Implementation data indicated that teachers did not teach all program elements, which also may have influenced the results of the program evaluation. The present dissertation contributes to knowledge about character and its programming by: introducing new measures to operationalize character, discovering developmental patterns in character in school-aged children, highlighting gender differences in character, examining character within its broad social context, and evaluating short-term character education programming.

Out of Character? Legal responses to intimate partner homicides by men in Victoria 2005-2014

This report reviews 51 cases of intimate partner homicide by men in Victoria, from 2005-2014, to investigate how family violence is recognised in homicide prosecutions. Research and death reviews in Australia and overseas have found that systemic failures in legal responses to family violence contribute to intimate partner homicides. In 2010, Domestic Violence Resource Centre Victoria and Monash University began a project to explore the impact of the 2005 homicide law reforms on intimate partner homicides. The first phase of the project examined cases of women who killed their intimate partners, focusing on whether the reforms had improved the recognition of family violence victimisation as a factor. This report presents findings from the second phase, which examines legal responses to men who have killed in the context of sexual intimacy. In analysing the cases, it looks at key contextual factors, legal outcomes, family violence risk factors, how prior family violence is understood and discussed by legal professionals, how evidence of prior family violence is used by the prosecution and whether it is admitted as evidence, the types of arguments and narratives made in defence of the accused, the recognition of family violence through the sentencing process, and the use of provocation as a mitigating factor.

Dirichlet process mixture models with pairwise constraints for data clustering

The Dirichlet process mixture (DPM) model, a typical Bayesian nonparametric model, can infer the number of clusters automatically, and thus performing priority in data clustering. This paper investigates the influence of pairwise constraints in the DPM model. The pairwise constraint, known as two types: must-link (ML) and cannot-link (CL) constraints, indicates the relationship between two data points. We have proposed two relevant models which incorporate pairwise constraints: the constrained DPM (C-DPM) and the constrained DPM with selected constraints (SC-DPM). In C-DPM, the concept of chunklet is introduced. ML constraints are compiled into chunklets and CL constraints exist between chunklets. We derive the Gibbs sampling of the C-DPM based on chunklets. We further propose a principled approach to select the most useful constraints, which will be incorporated into the SC-DPM. We evaluate the proposed models based on three real datasets: 20 Newsgroups dataset, NUS-WIDE image dataset and Facebook comments datasets we collected by ourselves. Our SC-DPM performs priority in data clustering. In addition, our SC-DPM can be potentially used for short-text clustering.

Conclusion - internationalization with VET character: key emerging issues

This volume has highlighted the complexities of offering vocational education and training across national borders, the nature and forms of internationalization of VET in different contexts and the impacts of mobility on educational work in the distinctive context of VET. In this chapter, we summarize the key issues as addressed by the authors in this volume and we note areas for further study and research. Emerging issues include the lack of comparable, system-wide and timely data on VET systems and students; the limited research on VET systems and the apparent lower status of VET for researchers and indeed for families seeking educational opportunities; the conjunction of withdrawal of funding for higher education in developed countries with the need for rapid training of technical and vocational workers in developing nations. Finally, authors in this volume consider the hegemonic aspects of English as the preferred language of training across many countries. The chapter also highlights the need for further research on the practices, trends, tensions and innovation in international VET and on the motivations of the students who undertake it and the teachers who provide the training.

A simultaneous extraction of context and community from pervasive signals using nested dirichlet process

Understanding user contexts and group structures plays a central role in pervasive computing. These contexts and community structures are complex to mine from data collected in the wild due to the unprecedented growth of data, noise, uncertainties and complexities. Typical existing approaches would first extract the latent patterns to explain human dynamics or behaviors and then use them as a way to consistently formulate numerical representations for community detection, often via a clustering method. While being able to capture high-order and complex representations, these two steps are performed separately. More importantly, they face a fundamental difficulty in determining the correct number of latent patterns and communities. This paper presents an approach that seamlessly addresses these challenges to simultaneously discover latent patterns and communities in a unified Bayesian nonparametric framework. Our Simultaneous Extraction of Context and Community (SECC) model roots in the nested Dirichlet process theory which allows a nested structure to be built to summarize data at multiple levels. We demonstrate our framework on five datasets where the advantages of the proposed approach are validated.

Distribution pattern of Galeus atlanticus in the Alborán Sea (south western Mediterranean) and some sexual character comparison with Galeus melastomus

Galeus atlanticus is a small-sized deepwater catshark living on the slope bottom of the Alborán Sea. Given its external similarities with Galeus melastomus, both species are often confused, which makes G. atlanticus a very poorly understood species both in terms of catches and biological aspects. For this study, a total of 741 G. atlanticus specimens, caught during scientific surveys from 1997 to 2003, were analysed. The distributional patterns were described and the reproductive status estimated. Galeus atlanticus occurred throughout the Alborán Sea, between the Strait of Gibraltar and Cape Gata, including the slope of the Island of Alborán. Its bathymetric range extended from 330 to 790 m and no size depth trends have been observed. Mature specimens, both males and females, were caught in all seasons of the year. Size at first maturity was significantly different between sexes, with estimates of 32.9 cm for males and 36.9 cm for females. The differential growth of some secondary sexual characteristics, such as clasper length in males and oviducal gland diameter in females, were compared with those of G. melastomus.

Protein markers of B. xylophilus Steiner & Buhrer, 1934 (Nickle, 1970) populations using quantitative proteomics and character compatibility.

The Pine Wood Nematode (PWN) Bursaphelenchus xylophilus is a severe forest pathogen in countries where it has been introduced and is considered a worldwide quarantine organism. In this study, protein markers for differentiating populations of this nematode were identified by studying differences among four selected Iberian and one American population. These populations were compared by quantitative proteomics (iTRAQ). From a total of 2860 proteins identified using the public database from the B. xylophilus genome project, 216 were unambiguous and significantly differentially regulated in the studied populations. Comparisons of their pairwise ratio were statistically treated and supported in order to convert them into discrete character states, suggesting that 141 proteins were not informative as population specific markers. Application of the Character Compatibility methodology on the remaining 75 proteins (belonging to families with different biological functions) excludes 27 which are incompatible among them. Considering only the compatible proteins, the method selects a subset of 30 specific unique protein markers which allowed the compared classification of the Iberian isolates. This approach makes it easier search for diagnostic tools and phylogenetic inference within species and populations of a pathogen exhibiting a high level of genetic diversity.

Texture for Script identification

The problem of determining the script and language of a document image has a number of important applications in the field of document analysis, such as indexing and sorting of large collections of such images, or as a precursor to optical character recognition (OCR). In this paper, we investigate the use of texture as a tool for determining the script of a document image, based on the observation that text has a distinct visual texture. An experimental evaluation of a number of commonly used texture features is conducted on a newly created script database, providing a qualitative measure of which features are most appropriate for this task. Strategies for improving classification results in situations with limited training data and multiple font types are also proposed.

The future of office property

The following paper considers the question, where to office property? In doing so, it focuses, in the first instance, on identifying and describing a selection of key forces for change present within the contemporary operating environment in which office property functions. Given the increasingly complex, dynamic and multi-faceted character of this environment, the paper seeks to identify only the primary forces for change, within the context of the future of office property. These core drivers of change have, for the purposes of this discussion, been characterised as including a range of economic, demographic and socio-cultural factors, together with developments in information and communication technology. Having established this foundation, the paper proceeds to consider the manner in which these forces may, in the future, be manifested within the office property market. Comment is offered regarding the potential future implications of these forces for change together with their likely influence on the nature and management of the physical asset itself. Whilst no explicit time horizon has been envisioned in the preparation of this paper particular attention has been accorded short to medium term trends, that is, those likely to emerge in the office property marketplace over the coming two decades. Further, the paper considers the question posed, in respect of the future of office property, in the context of developed western nations. The degree of commonality seen in these mature markets is such that generalisations may more appropriately and robustly be applied. Whilst some of the comments offered with respect to the target market may find application in other arenas, it is beyond the scope of this paper to explicitly consider highly heterogeneous markets. Given also the wide scope of this paper key drivers for change and their likely implications for the commercial office property market are identified at a global level (within the above established parameters). Accordingly, the focus is necessarily such that it serves to reflect overarching directions at a universal level (with the effect being that direct applicability to individual markets - when viewed in isolation on a geographic or property type specific basis – may not be fitting in all instances)