Computation of some Differential Operators in Toric Coordinates

Toric coordinates and toric vector field have been introduced in [2]. Let A be an arbitrary vector field. We obtain formulae for the divA, rotA and the Laplace operator in toric coordinates.

Sequences of Maximal Degree Vertices in Graphs

2000 Mathematics Subject Classification: 05C35.

A Necessary and Sufficient Condition for the Existence of an (n,r)-arc in PG(2,q) and Its Applications

ACM Computing Classification System (1998): E.4.

It's the way you check-in:identifying users in location-based social networks

In recent years, the rapid spread of smartphones has led to the increasing popularity of Location-Based Social Networks (LBSNs). Although a number of research studies and articles in the press have shown the dangers of exposing personal location data, the inherent nature of LBSNs encourages users to publish information about their current location (i.e., their check-ins). The same is true for the majority of the most popular social networking websites, which offer the possibility of associating the current location of users to their posts and photos. Moreover, some LBSNs, such as Foursquare, let users tag their friends in their check-ins, thus potentially releasing location information of individuals that have no control over the published data. This raises additional privacy concerns for the management of location information in LBSNs. In this paper we propose and evaluate a series of techniques for the identification of users from their check-in data. More specifically, we first present two strategies according to which users are characterized by the spatio-temporal trajectory emerging from their check-ins over time and the frequency of visit to specific locations, respectively. In addition to these approaches, we also propose a hybrid strategy that is able to exploit both types of information. It is worth noting that these techniques can be applied to a more general class of problems where locations and social links of individuals are available in a given dataset. We evaluate our techniques by means of three real-world LBSNs datasets, demonstrating that a very limited amount of data points is sufficient to identify a user with a high degree of accuracy. For instance, we show that in some datasets we are able to classify more than 80% of the users correctly.

The Number of Parts of Given Multiplicity in a Random Integer Partition

2000 Mathematics Subject Classification: 05A16, 05A17.

The Legendre Formula in Clifford Analysis

2000 Mathematics Subject Classification: 30A05, 33E05, 30G30, 30G35, 33E20.

Special compositions in affinely connected spaces without a torsion

2000 Mathematics Subject Classification: 53B05, 53B99.

Let's stick together? Explaining boundaries to territorial policy variation:the case of Germany's prisons legislation

This article offers an initial impact assessment regarding the introduction of new legislative responsibilities at the Land level in a case study of prisons policy (Strafvollzug). Combining an analysis of new legislation produced across the 16 Länder since the responsibility for prisons policy was transferred to the Land level, and insights into the mechanics of policy development obtained through a series of interviews with senior politicians and officials, this article finds that the desire among Länder to legislative independently has varied, with substantial backing for co-ordination in the development of new legislation. This has helped to confound expectations of a ‘competition of harshness’ which many expected to result from decentralisation. However, even before the 2006 reforms, there were substantial variations between the Länder when it came to implementing prisons policy, so consideration of the sub-national level in this area remains essential.

Women of African descent: Persistence in completing doctorates

This study examines the educational persistence of women of African descent (WOAD) in pursuit of a doctorate degree at universities in the southeastern United States. WOAD are women of African ancestry born outside the African continent. These women are heirs to an inner dogged determination and spirit to survive despite all odds (Pulliam, 2003, p. 337).This study used Ellis’s (1997) Three Stages for Graduate Student Development as the conceptual framework to examine the persistent strategies used by these women to persist to the completion of their studies. Semi-structured interviews were conducted, transcribed, and analyzed for the 10 study participants. The study examined their beliefs, roles, and support systems utilized during their studies to help propel them to succeed. Interview data were analyzed using cross-case analysis to discover emerging themes and patterns. A comparative analysis was used to analyze the participants’ experiences and discover themes and patterns to review against the historical data. The findings showed that WOAD experienced feelings of isolation, neglect and racial prejudice as doctoral students. Their ability to formulate supportive relationships among each other and in their communities outside the university was key to their persistence to graduation. There still remains a need to create a more engaging and inclusive environment for nontraditional students, particularly those who are WOAD. The study concludes with six strategies of success used by these WOAD to persist to completion. Those six strategies include 1. Keeping the goal of earning a doctorate and graduating foremost on your mind. 2. Set a class and study schedule that allows you to balance family, work and study. 3. Take care of yourself, physically, mentally and emotionally. 4. Keep a goal chart to track your strides toward completion/graduation. 5. Establish a strong support system among your family, friends, colleagues and community; and 6. Do not let the “isms” (racism, sexism, and ageism) deter you.

Iron speciation and magnetic susceptibility in bottom sediments of the Black Sea, Core SMG91-903

12 cores of Late Pleistocene - Holocene deposits were studied. They were collected by gravity cores on the continental slope and in the deep-water part of the Black Sea within the Adler-Tuapse polygon. In four of them in New Euxinian deposits at the base of a packet of hydrotroilite laminae paleomagnetic anomalies likely resulting from the Gothenburg magnetic excursion occur. Comparison with results of similar studies in the western Black Sea, where the Gothenburg magnetic excursion was previously found, let to validate stratigraphic synchronism of the hydrotroilite horizon in the eastern and western parts of the Black Sea and to confirm the authors' views about peculiarities of paleogeographical development of the Black Sea basin in the Late Pleistocene - Holocene.

‘Never Let Me Down Again’1: Loyal customer attitudes towards ticket distribution channels for live music events: a netnographic exploration of the US leg of the Depeche Mode 2005–2006 World Tour

Ticket distribution channels for live music events have been revolutionised through the increased take-up of internet technologies, and the music supply-chain has evolved into a multi-channel value network. The assumption that this creates increased consumer autonomy and improved service quality is explored here through a case-study of the ticket pre-sale for the US leg of the Depeche Mode 2005–06 World Tour, which utilises an innovative virtual channel strategy, promoted as a service to loyal fans. A multi-method analysis, adopting Kozinets' (2002) Kozinets, R. V. 2002. The field behind the screen: using netnography for marketing research in online communities. Journal of Marketing Research, 39: 61–72. [CrossRef], [Web of Science ®] netnography methodology, is employed to map responses of the band's serious fan base on an internet message board (IMB) throughout the tour pre-sale. The analysis focuses on concerns of pricing, ethics, scope of the offer, use of technology, service quality and perceived brand performance fit of channel partners. Findings indicate that fans behaviour is unpredictable in response to channel partners' performance, and that such offers need careful management to avoid alienation of loyal consumers.

On gathering in Art therapy: a way to understand and build the discipline with the other

In the present article I try to share some reflections on a case study of an attachment disorder child I worked with for two years through art therapy in a day hospital. Those reflections let me go deeply in some specific elements concerning the discipline which let us delimit its theoretical and methodological possible scope. In this way, from the specific of the case study on propose to reflect on those elements that conform a methodology related to the art therapist way of doing, in order to concrete and evaluate other possible interventions to develop in similar cases and contexts.

Let The People Sing? Irish Rebel Songs, Sectarianism, and Scotland’s Offensive Behaviour Act

Irish rebel songs afford Scotland’s Irish diaspora a means to assert, experience, and perform their alterity free from the complexities of the Irish language. Yet this benign intent can be offset by how the music is perceived by elements of Scotland’s majority Protestant population. The Scottish Government’s Offensive Behaviour Act (2012) has been used to prosecute those singing Irish rebel songs and there is continuing debate as to how this alleged offence should be dealt with. This article explores the social function and cultural perception of Irish rebel songs in the west coast of Scotland, examining what qualities lead to a song being perceived as ‘sectarian’, by focusing on song lyrics, performance context, and extra-musical discourse. The article explores the practice of lyrical ‘add-ins’ that inflect the meaning of key songs, and argues that the sectarianism of a song resides, at least in part, in the perception of the listener.

Prognostic role of the LCS6 KRAS variant in locally advanced rectal cancer: results of the EXPERT-C trial.

Background: Lethal-7 (let-7) is a tumour suppressor miRNA which acts by down-regulating several oncogenes including KRAS. A single-nucleotide polymorphism (rs61764370, T > G base substitution) in the let-7 complementary site 6 (LCS-6) of KRAS mRNA has been shown to predict prognosis in early-stage colorectal cancer (CRC) and benefit from anti-epidermal growth factor receptor monoclonal antibodies in metastatic CRC. Patients and methods: We analysed rs61764370 in EXPERT-C, a randomised phase II trial of neoadjuvant CAPOX followed by chemoradiotherapy, surgery and adjuvant CAPOX plus or minus cetuximab in locally advanced rectal cancer. DNA was isolated from formalin-fixed paraffin-embedded tumour tissue and genotyped using a PCR-based commercially available assay. Kaplan–Meier method and Cox regression analysis were used to calculate survival estimates and compare treatment arms. Results: A total of 155/164 (94.5%) patients were successfully analysed, of whom 123 (79.4%) and 32 (20.6%) had the LCS-6 TT and LCS-6 TG genotype, respectively. Carriers of the G allele were found to have a statistically significantly higher rate of complete response (CR) after neoadjuvant therapy (28.1% versus 10.6%; P = 0.020) and a trend for better 5-year progression-free survival (PFS) [77.4% versus 64.5%: hazard ratio (HR) 0.56; P = 0.152] and overall survival (OS) rates (80.3% versus 71.9%: HR 0.59; P = 0.234). Both CR and survival outcomes were independent of the use of cetuximab. The negative prognostic effect associated with KRAS mutation appeared to be stronger in patients with the LCS-6 TT genotype (HR PFS 1.70, P = 0.078; HR OS 1.79, P = 0.082) compared with those with the LCS-6 TG genotype (HR PFS 1.33, P = 0.713; HR OS 1.01, P = 0.995). Conclusion: This analysis suggests that rs61764370 may be a biomarker of response to neoadjuvant treatment and an indicator of favourable outcome in locally advanced rectal cancer possibly by mitigating the poor prognosis of KRAS mutation. In this setting, however, this polymorphism does not appear to predict cetuximab benefit.

El valor mitográfico del "Anonymi in Statii Achilleida commentum"

El breve commentum in Statii Achilleida resulta muy interesante para el estudio de la transmisión mitográfica de la Antigüedad tardía al Medievo, pues no sólo participa de las características propias de la mitografía (narraciones de mitos, exégesis racionalista y/o alegórica, interpretaciones etimológicas, anonimato, pseudepigrafía,…), sino que también es otro eslabón en la cadena textual de transmisión, simplificación y canonización de los mitos clásicos.