Stability and convergence of an implicit numerical method for the non-linear fractional reaction-subdiffusion process

In this paper, we consider the following non-linear fractional reaction–subdiffusion process (NFR-SubDP): Formula where f(u, x, t) is a linear function of u, the function g(u, x, t) satisfies the Lipschitz condition and 0Dt1–{gamma} is the Riemann–Liouville time fractional partial derivative of order 1 – {gamma}. We propose a new computationally efficient numerical technique to simulate the process. Firstly, the NFR-SubDP is decoupled, which is equivalent to solving a non-linear fractional reaction–subdiffusion equation (NFR-SubDE). Secondly, we propose an implicit numerical method to approximate the NFR-SubDE. Thirdly, the stability and convergence of the method are discussed using a new energy method. Finally, some numerical examples are presented to show the application of the present technique. This method and supporting theoretical results can also be applied to fractional integrodifferential equations.

Cosmopolitanism, the nation-state and imaginative realism

Contemporary writing on cosmopolitanism has asserted the need for a new sociological toolkit to deal with an emergent post-national social order. At the heart of this agenda is a misunderstanding about the role of the nation-state, which has led to some rather unhelpful theorizations. The state is assumed to be a dead hand in the development of post-national sentiments or an increasingly irrelevant social structure. We argue that the superseding of the nation-state is not necessary for the development of cosmopolitan sentiments of solidarity. In addition to classical sociology, it is work surrounding the concepts of cosmopolitan democracy and constitutional patriotism and the public sphere that can assist us in theorizing cosmopolitanism. What distinguishes this tradition is the utilization of social science concepts such as democracy, state, public sphere and law in an attempt to ground the idea of cosmopolitanism within the context of existing social structures.

Cardiac state diagnosis using higher order spectra of heart rate variability

Heart rate variability (HRV) refers to the regulation of the sinoatrial node, the natural pacemaker of the heart, by the sympathetic and parasympathetic branches of the autonomic nervous system. Heart rate variability analysis is an important tool to observe the heart's ability to respond to normal regulatory impulses that affect its rhythm. A computer-based intelligent system for analysis of cardiac states is very useful in diagnostics and disease management. Like many bio-signals, HRV signals are nonlinear in nature. Higher order spectral analysis (HOS) is known to be a good tool for the analysis of nonlinear systems and provides good noise immunity. In this work, we studied the HOS of the HRV signals of normal heartbeat and seven classes of arrhythmia. We present some general characteristics for each of these classes of HRV signals in the bispectrum and bicoherence plots. We also extracted features from the HOS and performed an analysis of variance (ANOVA) test. The results are very promising for cardiac arrhythmia classification with a number of features yielding a p-value < 0.02 in the ANOVA test.

Cherbourg State School in historical context.

Cherbourg State School is some 300 kilometres northwest of Brisbane. It is situated in an Aboriginal community at Cherbourg with approximately 250 students, all of whom are Indigenous Australian children. Cherbourg State School aims to generate good academic outcomes for its students from kindergarten to Year 7 and nurture a strong and positive sense of what it means to be Aboriginal in today's society. In a context where the community continues to grapple with many social issues born of the historical processes of dispossession and disempowerment, Cherbourg State School is determined that its children can and will learn to become 'Strong and Smart'. It is a journey that has been charted by Chris Sarra, the school's first Aboriginal principal, in his paper Young and Black and Deadly: Strategies for Improving Outcomes for Indigenous Students, which describes how pride and expectations were engendered in the school over a four-year period from 1998. In this article the author discusses the historical context of the school and its impact on the Indigenous people of Cherbourg. The aim is to consider the historical, political, social and cultural context around the creation of Cherbourg State School. The author critically examines the historical records of the role of the State Government and the white settlers in the setting up and creation of the Aboriginal Reserve and later the primary school. Throughout the author addresses an absence � a voice missing from history � the voice of the Aboriginal people. This exercise in collective memory was designed to provide an opportunity for those who have seldom been given the opportunity to tell their story. Instead of the official view of Cherbourg School it provides a narrative which restores the victims of history to a place of dignity and indeed humanity.

Solid-state nanocrystalline dye-sensitized solar cell using 2-mercapto benzimidazole doped poly(ethylene oxide) as a new polymer electrolyte

New composite doped poly (ethylene oxide) polymer electrolyte was developed using 2-mercapto benzimidazole as plasticizer and iodide/triiodide as redox couple. The fabrication of the cell involves Poly(ethylene oxide)/ 2-mercapto benzimidazole / iodide/triiodide as polymer electrolyte in dye-sensitized solar cell fabricated with N3 dye and TiO2 nanoparticles as the photoanode and Platinum coated FTO (fluorine doped SnO2) as counter electrode. The current-volatage characteristics under simulated sunlight AM1.5 shows a short circuit current Isc of 8.7mA and open circuit photovoltage 508 mV. The conductivity measurements for the new polymer electrolyte and the photoelectrochemical measurments were carried out systematically. In 2-mercapto benzimidazole the electron rich sulphur and nitrogen atoms, act as pi-electron donors that form good interaction with iodine which plays a vital role in the performance of the fabricated dye-sensitized solar cells. The resonance effect increases the stability of the cell to a considerable extent. These results suggest that the new composite polymer electrolyte performs as a promising new doped polymer-electrolyte.

An analysis of the effectiveness of parliamentary questions in the Uttar Pradesh State Legislative Assembly (India)

Parliamentary questions are the most popular and visible tool for making the executive accountable to the legislature. However, their use, purpose and effectiveness vary in different countries. In this study, 4023 parliamentary questions asked in the Uttar Pradesh State Legislative Assembly were analysed. The results show that half of the total members of the Assembly used this device. Contrary to findings in the Australian parliamentary system, there was no evidence of ‘Dorothy Dix’ and party influence on parliamentary questions. Furthermore, 30% of the questions were aimed at seeking information and 70% pressed for action. The government provided the required information in 95% of the questions in the former category but only took action in 37% in the latter category. The study concludes that parliamentary questions serve as an effective legislative tool in the Uttar Pradesh Legislature

Examining accountability dimensions in state-owned enterprises

This paper examines accountability in the context of New Zealand's state-owned enterprises (SOEs), and considers an accountability framework which extends beyond traditional (upward and outward) dimensions. While traditional accountability dimensions are clearly detailed in the legislation, less clear are the dilemmas and contradictions faced by SOEs, balancing multiple interests, and at times, conflicting objectives. These issues are explored through interviews conducted in two phases over a two year period with senior executives from 12 of the then 17 SOEs operating in New Zealand. Findings reveal a number of dimensions of accountability that extend beyond current conceptualisations of accountability in the public sector, often including multiple directions of accountability. Implications suggest the need for a more explicit framework of accountability relevant to the SOE context, which may serve useful in identifying potential pathways to conflict mitigation.

Corporate governance in China : the role of the state and ideology in shaping reforms

Examines the political and ideological influences on China's economic reforms since the early 1980s. Discusses the influence of the Chinese Communist Party and Confucianism on economic progress and assesses the effect of reforms. Outlines the requirement for new corporate governance laws to meet the needs of expanding private businesses and considers China's use and adaptation of some Western models of corporate governance. Comments on whether these fit easily with China's business culture. Criticises the shortcomings of China's corporate laws. Looks in particular at the telecommunications industry and at the Company Law 2006.

A quite unreasonable state of affairs : corporate social responsibility and the John Lewis Partnership

On the surface the subjects of Corporate Social Responsibility (CSR) and Critical Management Studies (CMS) seem to be closely related. Both are concerned with reflecting on the impact of management and organisation on employees, the wider community and the environment. Both suggest that there may be a need for organisations to take responsibility for and account of people other than shareholders and both have used the concept of accountability to suggest that organisations may need to do more than just comply with the legal framework.

State of the arts and innovation : before and after the review of the national innovation system

This article examines the relationship between the arts and national innovation policy in Australia, pivoting around the Venturous Australia report released in September 2008 as part of the Review of the National Innovation System (RNIS). This came at a time of optimism that the arts sector would be included in Australia’s federal innovation policy. However, despite the report’s broad vision for innovation and specific commentary on the arts, the more ambitious hopes of arts sector advocates remained unfulfilled. This article examines the entwining discourses of creativity and innovation which emerged globally and in Australia prior to the RNIS, before analysing Venturous Australia in terms of the arts and the ongoing science-and-technology bias to innovation policy. It ends by considering why sector-led policy research and lobbying has to date proved unsuccessful and then suggests what public policy development is now needed.

If it's encrypted it's secure! The viability of US state-based encryption exemptions

US state-based data breach notification laws have unveiled serious corporate and government failures regarding the security of personal information. These laws require organisations to notify persons who may be affected by an unauthorized acquisition of their personal information. Safe harbours to notification exist if personal information is encrypted. Three types of safe harbour have been identified in the literature: exemptions, rebuttable presumptions and factors. The underlying assumption of exemptions is that encrypted personal information is secure and therefore unauthorized access does not pose a risk. However, the viability of this assumption is questionable when examined against data breaches involving encrypted information and the demanding practical requirements of effective encryption management. Recent recommendations by the Australian Law Reform Commission (ALRC) would amend the Privacy Act 1988 (Cth) to implement a data breach scheme that includes a different type of safe harbour, factor based analysis. The authors examine the potential capability of the ALRC’s proposed encryption safe harbour in relation to the US experience at the state legislature level.

Artful determination : "state of the art" and PCME Ltd v. Goyen COntrols Co. UK Ltd

In a recent decision by Mr Justice Laddie, a patent was held anticipated by, inter alia, prior use of a device which fell within the claims of the patent in suit, even though its circuitry was enclosed in resin. The anticipating invention had been "made available to the public" within the terms of section 2 (2) of the Patents Act 1977 because its essential integers would have been revealed by an interesting character, the "skilled forensic engineer".

Social studies disciplinary knowledge: Tensions between state curriculum and national assessment requirements

In this chapter, we are particularly concerned with making visible the general principles underlying the transmission of Social Studies curriculum knowledge, and considering it in light of a high-stakes mandated national assessment task. Specifically, we draw on Bernstein’s theoretical concept of pedagogic models as a tool for analysing orientations to teaching and learning. We introduce a case in point from the Australian context: one state Social Studies curriculum vis-a-vis one part of the Year Three national assessment measure for reading. We use our findings to consider the implications for the disciplinary knowledge of Social Studies in the communities in which we are undertaking our respective Australian Research Council Linkage project work (Glasswell et al.; Woods et al.). We propose that Social Studies disciplinary knowledge is being constituted, in part, through power struggles between different agencies responsible for the production and relay of official forms of state curriculum and national literacy assessment. This is particularly the case when assessment instruments are used to compare and contrast school results in highly visible web based league tables (see, for example, http://myschoolaustralia.ning.com/).