879 resultados para Fractional Powers
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Book summary: In a constantly evolving context of performance management, accountability and risk assessment, police organisations and frontline police officers are required to pay careful attention to what has come to be known as ‘at risk people’, ‘vulnerable populations’ or ‘vulnerable people’. Vulnerable people have become a key focus of policy. Concurrently, there have been stronger demands on police, and a steep increase in police powers in relation to their interaction with vulnerable people. The premise of this protectionist and interventionist agenda is threefold: to protect the rights of vulnerable individuals proactively cater for their vulnerability within the justice system; and to secure police operations and protocols within strict guidelines. This collection unpacks ‘vulnerable people policing’ in theory and practice and guides the reader through the policing process as it is experienced by police officers, victims, offenders, witnesses and justice stakeholders. Each chapter features a single step of the policing process: from police recruit education through to custody, and the final transfer of vulnerable people to courts and sentencing. This edited collection provides analytical, theoretical and empirical insights on vulnerable people policing, and reflects on critical issues in a domain that is increasingly subject to speedy conversion from policy to practice, and heightened media and political scrutiny. It breaks down policing practices, operations and procedures that have vulnerable populations as a focus, bringing together original and innovative academic research and literature, practitioner experience and discussion of policy implications (from local and international perspectives). The particular nature of this collection highlights the multi-disciplinary nature of police work, sheds light on how specific, mandatory policies guide police officers steps in their interaction with vulnerable populations, and discusses the practicalities of police decision making at key points in this process.
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Contact lenses are a common method for the correction of refractive errors of the eye. While there have been significant advancements in contact lens designs and materials over the past few decades, the lenses still represent a foreign object in the ocular environment and may lead to physiological as well as mechanical effects on the eye. When contact lenses are placed in the eye, the ocular anatomical structures behind and in front of the lenses are directly affected. This thesis presents a series of experiments that investigate the mechanical and physiological effects of the short-term use of contact lenses on anterior and posterior corneal topography, corneal thickness, the eyelids, tarsal conjunctiva and tear film surface quality. The experimental paradigm used in these studies was a repeated measures, cross-over study design where subjects wore various types of contact lenses on different days and the lenses were varied in one or more key parameters (e.g. material or design). Both, old and newer lens materials were investigated, soft and rigid lenses were used, high and low oxygen permeability materials were tested, toric and spherical lens designs were examined, high and low powers and small and large diameter lenses were used in the studies. To establish the natural variability in the ocular measurements used in the studies, each experiment also contained at least one “baseline” day where an identical measurement protocol was followed, with no contact lenses worn. In this way, changes associated with contact lens wear were considered in relation to those changes that occurred naturally during the 8 hour period of the experiment. In the first study, the regional distribution and magnitude of change in corneal thickness and topography was investigated in the anterior and posterior cornea after short-term use of soft contact lenses in 12 young adults using the Pentacam. Four different types of contact lenses (Silicone hydrogel/ Spherical/–3D, Silicone Hydrogel/Spherical/–7D, Silicone Hydrogel/Toric/–3D and HEMA/Toric/–3D) of different materials, designs and powers were worn for 8 hours each, on 4 different days. The natural diurnal changes in corneal thickness and curvature were measured on two separate days before any contact lens wear. Significant diurnal changes in corneal thickness and curvature within the duration of the study were observed and these were taken into consideration for calculating the contact lens induced corneal changes. Corneal thickness changed significantly with lens wear and the greatest corneal swelling was seen with the hydrogel (HEMA) toric lens with a noticeable regional swelling of the cornea beneath the stabilization zones, the thickest regions of the lenses. The anterior corneal surface generally showed a slight flattening with lens wear. All contact lenses resulted in central posterior corneal steepening, which correlated with the relative degree of corneal swelling. The corneal swelling induced by the silicone hydrogel contact lenses was typically less than the natural diurnal thinning of the cornea over this same period (i.e. net thinning). This highlights why it is important to consider the natural diurnal variations in corneal thickness observed from morning to afternoon to accurately interpret contact lens induced corneal swelling. In the second experiment, the relative influence of lenses of different rigidity (polymethyl methacrylate – PMMA, rigid gas permeable – RGP and silicone hydrogel – SiHy) and diameters (9.5, 10.5 and 14.0) on corneal thickness, topography, refractive power and wavefront error were investigated. Four different types of contact lenses (PMMA/9.5, RGP/9.5, RGP/10.5, SiHy/14.0), were worn by 14 young healthy adults for a period of 8 hours on 4 different days. There was a clear association between fluorescein fitting pattern characteristics (i.e. regions of minimum clearance in the fluorescein pattern) and the resulting corneal shape changes. PMMA lenses resulted in significant corneal swelling (more in the centre than periphery) along with anterior corneal steepening and posterior flattening. RGP lenses, on the other hand, caused less corneal swelling (more in the periphery than centre) along with opposite effects on corneal curvature, anterior corneal flattening and posterior steepening. RGP lenses also resulted in a clinically and statistically significant decrease in corneal refractive power (ranging from 0.99 to 0.01 D), large enough to affect vision and require adjustment in the lens power. Wavefront analysis also showed a significant increase in higher order aberrations after PMMA lens wear, which may partly explain previous reports of "spectacle blur" following PMMA lens wear. We further explored corneal curvature, thickness and refractive changes with back surface toric and spherical RGP lenses in a group of 6 subjects with toric corneas. The lenses were worn for 8 hours and measurements were taken before and after lens wear, as in previous experiments. Both lens types caused anterior corneal flattening and a decrease in corneal refractive power but the changes were greater with the spherical lens. The spherical lens also caused a significant decrease in WTR astigmatism (WRT astigmatism defined as major axis within 30 degrees of horizontal). Both the lenses caused slight posterior corneal steepening and corneal swelling, with a greater effect in the periphery compared to the central cornea. Eyelid position, lid-wiper and tarsal conjunctival staining were also measured in Experiment 2 after short-term use of the rigid and SiHy contact lenses. Digital photos of the external eyes were captured for lid position analysis. The lid-wiper region of the marginal conjunctiva was stained using fluorescein and lissamine green dyes and digital photos were graded by an independent masked observer. A grading scale was developed in order to describe the tarsal conjunctival staining. A significant decrease in the palpebral aperture height (blepharoptosis) was found after wearing of PMMA/9.5 and RGP/10.5 lenses. All three rigid contact lenses caused a significant increase in lid-wiper and tarsal staining after 8 hours of lens wear. There was also a significant diurnal increase in tarsal staining, even without contact lens wear. These findings highlight the need for better contact lens edge design to minimise the interactions between the lid and contact lens edge during blinking and more lubricious contact lens surfaces to reduce ocular surface micro-trauma due to friction and for. Tear film surface quality (TFSQ) was measured using a high-speed videokeratoscopy technique in Experiment 2. TFSQ was worse with all the lenses compared to baseline (PMMA/9.5, RGP/9.5, RGP/10.5, and SiHy/14) in the afternoon (after 8 hours) during normal and suppressed blinking conditions. The reduction in TFSQ was similar with all the contact lenses used, irrespective of their material and diameter. An unusual pattern of change in TFSQ in suppressed blinking conditions was also found. The TFSQ with contact lens was found to decrease until a certain time after which it improved to a value even better than the bare eye. This is likely to be due to the tear film drying completely over the surface of the contact lenses. The findings of this study also show that there is still a scope for improvement in contact lens materials in terms of better wettability and hydrophilicity in order to improve TFSQ and patient comfort. These experiments showed that a variety of changes can occur in the anterior eye as a result of the short-term use of a range of commonly used contact lens types. The greatest corneal changes occurred with lenses manufactured from older HEMA and PMMA lens materials, whereas modern SiHy and rigid gas permeable materials caused more subtle changes in corneal shape and thickness. All lenses caused signs of micro-trauma to the eyelid wiper and palpebral conjunctiva, although rigid lenses appeared to cause more significant changes. Tear film surface quality was also significantly reduced with all types of contact lenses. These short-term changes in the anterior eye are potential markers for further long term changes and the relative differences between lens types that we have identified provide an indication of areas of contact lens design and manufacture that warrant further development.
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This paper aims to develop an implicit meshless collocation technique based on the moving least squares approximation for numerical simulation of the anomalous subdiffusion equation(ASDE). The discrete system of equations is obtained by using the MLS meshless shape functions and the meshless collocation formulation. The stability and convergence of this meshless approach related to the time discretization are investigated theoretically and numerically. The numerical examples with regular and irregular nodal distributions are used to the newly developed meshless formulation. It is concluded that the present meshless formulation is very effective for the modeling of ASDEs.
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This paper examines the instances and motivations for noble cause corruption perpetrated by NSW police officers. Noble cause corruption occurs when a person tries to produce a just outcome through unjust methods, for example, police manipulating evidence to ensure a conviction of a known offender. Normal integrity regime initiatives are unlikely to halt noble cause corruption as its basis lies in an attempt to do good by compensating for the apparent flaws in an unjust system. This paper suggests that the solution lies in a change of culture through improved leadership and uses the political theories of Roger Myerson to propose a possible solution. Evidence from police officers in transcripts of the Wood Inquiry (1997) are examined to discern their participation in noble cause corruption and their rationalisation of this behaviour. The overall findings are that officers were motivated to indulge in this type of corruption through a desire to produce convictions where they felt the system unfairly worked against their ability to do their job correctly. We have added to the literature by demonstrating that the rewards can be positive. Police are seeking job satisfaction through the ability to convict the guilty. They will be able to do this through better equipment and investigative powers.
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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.
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Fractional differential equation is used to describe a fractal model of mobile/immobile transport with a power law memory function. This equation is the limiting equation that governs continuous time random walks with heavy tailed random waiting times. In this paper, we firstly propose a finite difference method to discretize the time variable and obtain a semi-discrete scheme. Then we discuss its stability and convergence. Secondly we consider a meshless method based on radial basis functions (RBF) to discretize the space variable. By contrast to conventional FDM and FEM, the meshless method is demonstrated to have distinct advantages: calculations can be performed independent of a mesh, it is more accurate and it can be used to solve complex problems. Finally the convergence order is verified from a numerical example is presented to describe the fractal model of mobile/immobile transport process with different problem domains. The numerical results indicate that the present meshless approach is very effective for modeling and simulating of fractional differential equations, and it has good potential in development of a robust simulation tool for problems in engineering and science that are governed by various types of fractional differential equations.
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Anomalous subdiffusion equations have in recent years received much attention. In this paper, we consider a two-dimensional variable-order anomalous subdiffusion equation. Two numerical methods (the implicit and explicit methods) are developed to solve the equation. Their stability, convergence and solvability are investigated by the Fourier method. Moreover, the effectiveness of our theoretical analysis is demonstrated by some numerical examples. © 2011 American Mathematical Society.
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Studies of international youth justice, punishment and control are in their infancy but the issues of globalisation, transnationalisation, policy transfer and localisation are gradually being addressed. There also appears a growing demand in policy and pressure group circles in the UK to learn more about other jurisdictions in order to emulate ‘best practice’ and avoid the worst excesses of punitive populism. However, existing comparative work in this area rarely ventures much beyond country specific descriptions of historical development, powers and procedures. Statistical comparisons – predominantly of custody rates – are becoming more sophisticated but remain beset with problems of partial and inaccurate data collection. The extent to which different countries do things differently, and how and why such difference is maintained, remains a relatively unexcavated territory. This article suggests a conceptually comparative framework in which degrees of international, national and local convergence and divergence can begin to be revealed and assessed.
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In this study available solid tire wastes in Bangladesh were characterized through proximate and ultimate analyses, gross calorific values and thermogravimetric analysis to investigate their suitability as feedstock for thermal recycling by pyrolysis technology. A new approach in heating system, fixedbed fire-tube heating pyrolysis reactor has been designed and fabricated for the recovery of liquid hydrocarbons from solid tire wastes. The tire wastes were pyrolysed in the internally heated fixed-bed fire-tube heating reactor and maximum liquid yield of 46-55 wt% of solid tire waste was obtained at a temperature of 475 oC, feed size 4 cm3, with a residence time of 5 s under N2 atmosphere. The liquid products were characterized by physical properties, elemental analysis, FT-IR, 1H-NMR, GC MS techniques and distillation. The results show that the liquid products are comparable to petroleum fuels whereas fractional distillations and desulphurization are essential to be used as alternative for diesel engine fuels.
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In this work, a Langevin dynamics model of the diffusion of water in articular cartilage was developed. Numerical simulations of the translational dynamics of water molecules and their interaction with collagen fibers were used to study the quantitative relationship between the organization of the collagen fiber network and the diffusion tensor of water in model cartilage. Langevin dynamics was used to simulate water diffusion in both ordered and partially disordered cartilage models. In addition, an analytical approach was developed to estimate the diffusion tensor for a network comprising a given distribution of fiber orientations. The key findings are that (1) an approximately linear relationship was observed between collagen volume fraction and the fractional anisotropy of the diffusion tensor in fiber networks of a given degree of alignment, (2) for any given fiber volume fraction, fractional anisotropy follows a fiber alignment dependency similar to the square of the second Legendre polynomial of cos(θ), with the minimum anisotropy occurring at approximately the magic angle (θMA), and (3) a decrease in the principal eigenvalue and an increase in the transverse eigenvalues is observed as the fiber orientation angle θ progresses from 0◦ to 90◦. The corresponding diffusion ellipsoids are prolate for θ < θMA, spherical for θ ≈ θMA, and oblate for θ > θMA. Expansion of the model to include discrimination between the combined effects of alignment disorder and collagen fiber volume fraction on the diffusion tensor is discussed.
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Background: Tenofovir has been associated with renal phosphate wasting, reduced bone mineral density, and higher parathyroid hormone levels. The aim of this study was to carry out a detailed comparison of the effects of tenofovir versus non-tenofovir use on calcium, phosphate and, vitamin D, parathyroid hormone (PTH), and bone mineral density. Methods: A cohort study of 56 HIV-1 infected adults at a single centre in the UK on stable antiretroviral regimes comparing biochemical and bone mineral density parameters between patients receiving either tenofovir or another nucleoside reverse transcriptase inhibitor. Principal Findings: In the unadjusted analysis, there was no significant difference between the two groups in PTH levels (tenofovir mean 5.9 pmol/L, 95% confidence intervals 5.0 to 6.8, versus non-tenofovir; 5.9, 4.9 to 6.9; p = 0.98). Patients on tenofovir had significantly reduced urinary calcium excretion (median 3.01 mmol/24 hours) compared to non-tenofovir users (4.56; p,0.0001). Stratification of the analysis by age and ethnicity revealed that non-white men but not women, on tenofovir had higher PTH levels than non-white men not on tenofovir (mean difference 3.1 pmol/L, 95% CI 5.3 to 0.9; p = 0.007). Those patients with optimal 25-hydroxyvitamin D (.75 nmol/L) on tenofovir had higher 1,25-dihydroxyvitamin D [1,25(OH)2D] (median 48 pg/mL versus 31; p = 0.012), fractional excretion of phosphate (median 26.1%, versus 14.6;p = 0.025) and lower serum phosphate (median 0.79 mmol/L versus 1.02; p = 0.040) than those not taking tenofovir. Conclusions: The effects of tenofovir on PTH levels were modified by sex and ethnicity in this cohort. Vitamin D status also modified the effects of tenofovir on serum concentrations of 1,25(OH)2D and phosphate.
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Objectives We aimed to use simple clinical questions to group women and provide their specific rates of miscarriage, preterm delivery, and stillbirth for reference. Further, our purpose was to describe who has experienced particularly low or high rates of each event. Methods Data were collected as part of the Australian Longitudinal Study on Women's Health, a national prospective cohort. Reproductive histories were obtained from 5806 women aged 31–36 years in 2009, who had self-reported an outcome for one or more pregnancy. Age at first birth, number of live births, smoking status, fertility problems, use of in vitro fertilisation (IVF), education and physical activity were the variables that best separated women into groups for calculating the rates of miscarriage, preterm delivery, and stillbirth. Results Women reported 10,247 live births, 2544 miscarriages, 1113 preterm deliveries, and 113 stillbirths. Miscarriage was correlated with stillbirth (r = 0.09, P<0.001). The calculable rate of miscarriage ranged from 11.3 to 86.5 miscarriages per 100 live births. Women who had high rates of miscarriage typically had fewer live births, were more likely to smoke and were more likely to have tried unsuccessfully to conceive for ≥12 months. The highest proportion of live preterm delivery (32.2%) occurred in women who had one live birth, had tried unsuccessfully to conceive for ≥12 months, had used IVF, and had 12 years education or equivalent. Women aged 14–19.99 years at their first birth and reported low physical activity had 38.9 stillbirths per 1000 live births, compared to the lowest rate at 5.5 per 1000 live births. Conclusion Different groups of women experience vastly different rates of each adverse pregnancy event. We have used simple questions and established reference data that will stratify women into low- and high-rate groups, which may be useful in counselling those who have experienced miscarriage, preterm delivery, or stillbirth, plus women with fertility intent.
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Neither an international tax, nor an international taxing body exists. Rather, there are domestic taxing rules adopted by jurisdictions which, coupled with double tax treaties, apply to cross-border transactions and international taxation issues. International bodies such as the OECD and UN, which provide guidance on tax issues, often steer and supplement these domestic adoptions but have no binding international taxing powers. These pragmatic realities, together with the specific use of the word ‘regime’ within the tax community, lead many to argue that an international tax regime does not exist. However, an international tax regime should be defined no differently to any other area of international law and when we step outside the confines of tax law to consider the definition of a ‘regime’ within international relations it is possible to demonstrate that such a regime is very real. The first part of this article, by defining an international tax regime in a broader and more traditional context, also outlining both the tax policy and principles which frame that regime, reveals its existence. Once it is accepted that an international tax regime exists, it is possible to consider its adoption by jurisdictions and subsequent constraints it places on them. Using the proposed changes to transfer pricing laws as the impetus for assessing Australia’s adoption of the international tax regime, the constraints on sovereignty are assessed through a taxonomy of the level adoption. This reveals the subsequent constraints which flow from the broad acceptance of an international tax regime through to the specific adoption of technical detail. By undertaking this analysis, the second part of this article demonstrates that Australia has inherently adopted an international tax regime, with a move towards explicit adoption and a clear embedding of its principles within the domestic tax legislation.
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A just system of discipline within an organisation requires four characteristics: a clear set of offences, proportionate punishments clearly linked to the offences, oversight and appeals from disciplinary decisions and independence from political masters. This paper examines Queensland public sector legislation and policy from 1863 to the present to demonstrate how well these four criteria are addressed. An analysis of the presence of these four characteristics in the Queensland context finds that the public sector legislation in Queensland is in breach of the guidelines that define a just and fair system in which disciplinary action is dispensed. We argue that creation of arbitrary powers to punish or dismiss staff is unjust if the legislation does not fully inform staff of what constitutes a breach of discipline, does not guarantee proportionate punishments to offences, and/or it allows the disciplinary process to be used as a tool to coerce staff to perform in a politicised or otherwise unethical manner. We conclude by making recommendations as to how this situation may be rectified.
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Female genital mutilation (FGM) is a cultural practice involving the deliberate, non-therapeutic physical modification of young girls’ genitalia. FGM can take several forms, ranging from smaller incisions, to removal of the clitoris and labia, and narrowing or even closing of the vagina. FGM predates and has no basis in the Koran, or any other religious text. Rather, it is a cultural tradition, particularly common in Islamic societies in regions of Africa, motivated by a patriarchal society’s desire to control female bodies and lives. The primary reason for this desire for control is to ensure virginity at marriage, thereby preserving family honour, within a patriarchal social structure where females’ value as persons is intrinsically connected to, and limited to, their worth as virgin brides. Recent efforts at legal prohibition and practical eradication in a growing number of African nations mark a significant turning point in how societies treat females. This shift in cultural power has been catalysed by a concern for female health, but it has also been motivated by an impulse to promote the human rights of girls and women. Although FGM remains widely practiced and there is much progress yet to be made before its eradication, the rights-based approach which has grown in strength embodies a marked shift in cultural power which reflects progress in women’s and children’s rights in the Western world, but which is now being applied in a different cultural context. This chapter reviews the nature of FGM, its prevalence, and health consequences. It discusses recent legal, cultural and practical developments, especially in African nations. Finally, this chapter raises the possibility that an absolute human right against FGM may emerge.