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.

Harnessing the power of hope : happier law students to grow a healthier profession

With the recognition of the high incidence of depression and psychological distress in the legal profession, positive programs and education are being introduced at several levels, including law schools.

Promoting law student well-being through a first year law subject

-First, the incidence of psychological distress in law students is uncomfortably high. -Second, we cannot identify with precision the exact factors that are causing this psychological distress. -Third, cross sectional studies (by themselves) cannot tell us whether it is law school that is creating these levels of psychological distress, or whether prospective law students already possess these attributes. -Fourth, if law school is somehow causing or contributing to this psychological distress, cross sectional studies (by themselves) cannot tell us when in the law degree psychological distress is most likely to occur.

Reflective practice as a tool for addressing high levels of psychological distress in Australian law schools and the legal profession

This paper discusses: -The need for law schools to use curriculum as a site for positive interventions to support student psychological well-being. -The potential for law school interventions to impact on the psychological well-being of the profession. -Reflective practice as a possible tool for promoting psychological well-being in law school and the profession because it provides a way of coping with ‘indeterminate zones’ of experience.

An examination of recent taxation amendments, corporate law reforms and Queensland legislative reforms affecting nonprofit organisations

There is a tax amendment bill which will be debated. The Government has promised to outline its plan for the reform of the taxation system sometime this year. The plans appear to go beyond the mere introduction of some sort of goods and services tax to reform of the whole taxation system including fiscal relations with the States. Not for profit organisations will find their taxation environment will change. Governments are reluctant to permit exemptions to a GST style arrangements. GST trade offs such as reduced income tax rates and abolishing indirect taxes are useless to nonprofit organisations, as many are already exempt from such imposts. Administrative changes to tax collections may also have an impact. If the government decides to make an individual PAYE taxpayer return optional in exchange for no or standard deductions, this may have an effect on fundraising. The FBT and salary packaging schemes that not for profit organisations use will be under intense scrutiny. A regionalisation of the ATO along the successful model of the ASC would see discrete areas such as not for profit exemptions being centralised in one regional office for the whole of Australia. For example the Tasmanian ASC Office has the responsibility for much work in respect of corporate charities and not for profit companies.

Educational markets in space : gamekeeping professionals across Australian communities

This paper argues that the logic of neoliberal choice policy is typically blind to considerations of space and place, but inevitably impacts on rural and remote locations in the way that middle class professionals view the opportunities available in their local educational markets. The paper considers the value of middle class professionals’ educational capitals in regional communities and their problematic distribution, given that class fraction’s particular investment in choice strategies to ensure their children’s future. It then profiles the educational market in six communities along a transect between a major regional centre and a remote ‘outback’ town, using publicly available data from the Australian government’s ‘My School’ website. Comparison of the local markets shows how educational outcomes are distributed across the local markets and how dimensions of ‘choice’ thin out over the transect. Interview data offers insights into how professional families in these localities engage selectively with these local educational markets, or plan to transcend them. The discussion reflects on the growing importance of educational choices as a marker of place in the competition between localities to attract and retain professionals to staff vital human services in their communities.

Digital forensics in law enforcement: the case of online victimisation of children

Online victimisation of children is concerned with sexual abuse caused with the help of online technologies. Digital forensics is a powerful methodology to discover, prevent and bring criminals to justice. Digital forensics is dependent on tools and access to information from a variety of sources in digital government. This paper reports from a knowledge enhancement project to gain new insights into offender investigations in law enforcement.