Analytical solutions of the multi-term modified power law wave equations in a finite domain

Fractional partial differential equations with more than one fractional derivative term in time, such as the Szabo wave equation, or the power law wave equation, describe important physical phenomena. However, studies of these multi-term time-space or time fractional wave equations are still under development. In this paper, multi-term modified power law wave equations in a finite domain are considered. The multi-term time fractional derivatives are defined in the Caputo sense, whose orders belong to the intervals (1, 2], [2, 3), [2, 4) or (0, n) (n > 2), respectively. Analytical solutions of the multi-term modified power law wave equations are derived. These new techniques are based on Luchko’s Theorem, a spectral representation of the Laplacian operator, a method of separating variables and fractional derivative techniques. Then these general methods are applied to the special cases of the Szabo wave equation and the power law wave equation. These methods and techniques can also be extended to other kinds of the multi term time-space fractional models including fractional Laplacian.

Policing the Rural Crisis

Based on empirical research in a number of rural communities in north-western NSW, this article explores the dynamics of rural crisis as it is manifested in and through popular attitudes and campaigns around law and order. There is no denying that crime rates in many rural communities are high, often very high by national standards, or that local crime disproportionately involves Indigenous offenders (and Indigenous victims). However, the views expressed in interviews with established White residents, in local media and in organised campaigns around law and order are suggestive of a much deeper sense of threat and crisis. This, it is argued, can be explained in relation not simply to crime rates but the way in which crime is experienced at the local level and the manner in which it is connected to other unwanted change that is seen to threaten the integrity of these communities. In order to understand these anxieties it is necessary to explore historical patterns of settlement, the economic structure and the culture of rural communities. Indigenous Australians have, at best, occupied an ambiguous and fragile position in relation to membership of these communities, a form of ‘passive’ belonging, ‘conditional’ on deference to dominant White norms governing civic and domestic life. Local Indigenous crime can be a source of deep anxiety not only because it causes harm to person and property but because it is interpreted by many Whites as a repudiation of the local social order, a signifier of larger threats to the community and on occasions as a harbinger of social breakdown. The article explores some of the key themes emerging from interview material that characterise this sense of crisis and relates them to the larger pattern of change affecting many communities: economic decline, changing government policies and priorities, the growing relative economic and political power of Indigenous people, debates about native title and so on.

Explaining Gendered Sentencing Patterns for Men and Women in the Late Victorian Period

Contemporary studies of disparities in the sentencing of male and female offenders claim that the differences found are caused by gender-related contextual factors, but not by a gender bias. In contrast, historical studies have suggested that women were disadvantaged by appearing to offend both against the law and the conventions of femininity. This article analyses minor assaults prosecuted in ten English magistrates’ courts between 1880 and 1920. It is based on a data-set that combines court cases and newspaper reports, and allows for the control of gender differences in sentencing outcomes through four contextual factors: severity of the assault, bonds between victim and assailant, culpability, and evidence. The findings reveal a differentiated pattern of sentences that questions the assumption that ‘doubly deviant’ women were more often convicted, and received higher penalties, throughout the Victorian period. The results show that the contextual factors of the offence affected judicial decision-making to the extent that they virtually account for gender differences in conviction rates, but do not, on their own, account for the different penalties handed out to men and women. Women who committed similar assaults to men were likely to receive a lighter punishment. Magistrates clearly targeted ‘male’ contexts of violence, and handed down more convictions and harsher penalties to men involved in these, in contrast to women involved in 'female' contexts. The findings of a strong gender bias in sentencing that disadvantaged lowerclass men indicate that local magistrates directed their efforts of 'civilizing' lower-class communities at 'dangerous masculinities', and deemed assaults committed by women as less important in this task.

Creating Institutions: Linking the Local and the Global in the Travel of Crime Policies

Institutions represent the ‘technologies of the social.’ They are increasingly modelled and transported to other cultures and societies, and criminal justice institutions—traditional, parochial, and local as they are—are no exception to this. Problems of crime and insecurity have engendered the travelling of institutions from the centre to the periphery and vice versa. This paper will explore the problems which arise from travelling and modelling, and from the transport and creation of institutions in the area of criminal justice. An important feature in the travel of criminal justice institutions is the use of ‘local knowledge’ and its role in this process.

White Lines: The Intercultural Politics of Everyday Movement in Local Spaces

This article draws on research into racist vilification experienced by young Arab and Muslim Australians especially since 11 September 2001, to explore the links between public space, movement and national belonging, and the spatial regulation of cultural difference that functions in Australia. The authors analyse the way that the capacity to experience forms of national belonging and cultural citizenship is shaped by inclusion within or exclusion from local as well as nationally significant public spaces. While access to public space and freedom to move are conventionally seen as fundamental to a democratic state, these are often seen in abstract terms. This article emphasises how movement in public space is a very concrete dimension of our experience of freedom, in showing how incivilities directed against Arab and Muslim Australians have operated pedagogically as a spatialised regulation of national belonging. The article concludes by examining how processes associated with the Cronulla riots of December 2005 have retarded the capacities of Muslim and Arab Australians to negotiate within and across spaces, diminishing their opportunities to invest in local and national spaces, shrinking their resources and opportunities for place-making in public space.

School Leadership, Literacy and Social Justice : The Place of Local School Curriculum Planning and Reform

School reform is a matter of both redistributive social justice and recognitive social justice. Following Fraser (Justice interruptus: critical reflections on the “postsocialist” condition. Routledge, New York, 1997), we begin from a philosophical and political commitment to the more equitable redistribution of knowledge, credentials, competence, and capacity to children of low socioeconomic, cultural, and linguistic minority and Indigenous communities whose access, achievement, and participation historically have “lagged” behind system norms and benchmarks set by middle class and dominant culture communities. At the same time, we argue that the recognition of these students and their communities’ lifeworlds, knowledges, and experiences in the curriculum, in classroom teaching, and learning is both a means and an end: a means toward improved achievement measured conventionally and a goal for reform and alteration of mainstream curriculum knowledge and what is made to count in the school as valued cultural knowledge and practice. The work that we report here was based on an ongoing 4-year project where a team of university teacher educators/researchers have partnered with school leadership and staff to build relationships within community. The purpose has been to study whether and how engagement with new digital arts and multimodal literacies could have effects on students “conventional” print literacy achievement and, secondly, to study whether and how the overall performance of a school could be generated through a focus on professional conversations and partnerships in curriculum and instruction – rather than the top-down implementation of a predetermined pedagogical scheme, package, or approach.

Prevalence and risk factors of childhood allergic diseases in eight metropolitan cities in China: A multicenter study

Background Several studies conducted during the past two decades suggested increasing trend of childhood allergic diseases in China. However, few studies have provided detailed description of geographic variation and explored risk factors of these diseases. This study investigated the pattern and risk factors of asthma, allergic rhinitis and eczema in eight metropolitan cities in China. Methods We conducted a cross-sectional survey during November-December 2005 in eight metropolitan cities in China. A total of 23791 children aged 6-13 years participated in this survey. Questions from the standard questionnaire of the International Study of Asthma and Allergies in Children (ISAAC) were used to examine the pattern of current asthma, allergic rhinitis and eczema. Logistic regression analyses were performed to assess the risk factors for childhood allergies. Results The average prevalence of childhood asthma, allergic rhinitis and eczema across the eight cities was 3∙3% (95% Confidence interval (CI): 3∙1%, 3∙6%), 9∙8% (95% CI: 9∙4%, 10∙2%) and 5∙5% (95% CI: 5∙2%, 5∙8%), respectively. Factors related to lifestyle, mental health and socio-economic status were found to be associated with the prevalence of childhood allergies. These risk factors were unevenly distributed across cities and disproportionately affected the local prevalence. Conclusions There was apparent geographic variation of childhood allergies in China. Socio-environmental factors had strong impacts on the prevalence of childhood allergies; but these impacts differed across regions. Thus public health policies should specifically target at the local risk factors for each individual area.

Spatio-temporal patterns of Barmah Forest virus disease in Queensland, Australia

Background Barmah Forest virus (BFV) disease is a common and wide-spread mosquito-borne disease in Australia. This study investigated the spatio-temporal patterns of BFV disease in Queensland, Australia using geographical information system (GIS) tools and geostatistical analysis. Methods/Principal Findings We calculated the incidence rates and standardised incidence rates of BFV disease. Moran's I statistic was used to assess the spatial autocorrelation of BFV incidences. Spatial dynamics of BFV disease was examined using semi-variogram analysis. Interpolation techniques were applied to visualise and display the spatial distribution of BFV disease in statistical local areas (SLAs) throughout Queensland. Mapping of BFV disease by SLAs reveals the presence of substantial spatio-temporal variation over time. Statistically significant differences in BFV incidence rates were identified among age groups (χ2 = 7587, df = 7327,p<0.01). There was a significant positive spatial autocorrelation of BFV incidence for all four periods, with the Moran's I statistic ranging from 0.1506 to 0.2901 (p<0.01). Semi-variogram analysis and smoothed maps created from interpolation techniques indicate that the pattern of spatial autocorrelation was not homogeneous across the state. Conclusions/Significance This is the first study to examine spatial and temporal variation in the incidence rates of BFV disease across Queensland using GIS and geostatistics. The BFV transmission varied with age and gender, which may be due to exposure rates or behavioural risk factors. There are differences in the spatio-temporal patterns of BFV disease which may be related to local socio-ecological and environmental factors. These research findings may have implications in the BFV disease control and prevention programs in Queensland.