999 resultados para algebraic laws


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Pandemic influenza will cause significant social and economic disruption. Legal frameworks can play an important role in clarifying the rights and duties of individuals, communities and governments for times of crisis. In addressing legal frameworks, there is a need for jurisdictional clarity between different levels of government in responding to public health emergencies. Public health laws are also informed by our understandings of rights and responsibilities for individuals and communities, and the balancing of public health and public freedoms. Consideration of these issues is an essential part of planning for pandemic influenza.

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Increasing role of electronic health care in Australia - possibilities of e-health in terms of provider-to-consumer initiatives and of business-to-business initiatives - challenges of e-health in the context of existing laws and recent reforms - assessment of the adequacy of existing laws to meet the challenges posed by e-health

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This is an update of an earlier paper, and is written for Excel 2007. A series of Excel 2007 models is described. The more advanced versions allow solution of f(x)=0 by examining change of sign of function values. The function is graphed and change of sign easily detected by a change of colour. Relevant features of Excel 2007 used are Names, Scatter Chart and Conditional Formatting. Several sample Excel 2007 models are available for download, and the paper is intended to be used as a lesson plan for students having some familiarity with derivatives. For comparison and reference purposes, the paper also presents a brief outline of several common equation-solving strategies as an Appendix.

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A newspaper numbers game based on simple arithmetic relationships is discussed. Its potential to give students of elementary algebra practice in semi-ad hoc reasoning and to build general arithmetic reasoning skills is explored.

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This paper presents algebraic attacks on SOBER-t32 and SOBER-t16 without stuttering. For unstuttered SOBER-t32, two different attacks are implemented. In the first attack, we obtain multivariate equations of degree 10. Then, an algebraic attack is developed using a collection of output bits whose relation to the initial state of the LFSR can be described by low-degree equations. The resulting system of equations contains 2^69 equations and monomials, which can be solved using the Gaussian elimination with the complexity of 2^196.5. For the second attack, we build a multivariate equation of degree 14. We focus on the property of the equation that the monomials which are combined with output bit are linear. By applying the Berlekamp-Massey algorithm, we can obtain a system of linear equations and the initial states of the LFSR can be recovered. The complexity of attack is around O(2^100) with 2^92 keystream observations. The second algebraic attack is applicable to SOBER-t16 without stuttering. The attack takes around O(2^85) CPU clocks with 2^78 keystream observations.

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Algebraic immunity AI(f) defined for a boolean function f measures the resistance of the function against algebraic attacks. Currently known algorithms for computing the optimal annihilator of f and AI(f) are inefficient. This work consists of two parts. In the first part, we extend the concept of algebraic immunity. In particular, we argue that a function f may be replaced by another boolean function f^c called the algebraic complement of f. This motivates us to examine AI(f ^c ). We define the extended algebraic immunity of f as AI *(f)= min {AI(f), AI(f^c )}. We prove that 0≤AI(f)–AI *(f)≤1. Since AI(f)–AI *(f)= 1 holds for a large number of cases, the difference between AI(f) and AI *(f) cannot be ignored in algebraic attacks. In the second part, we link boolean functions to hypergraphs so that we can apply known results in hypergraph theory to boolean functions. This not only allows us to find annihilators in a fast and simple way but also provides a good estimation of the upper bound on AI *(f).

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As part of the effort to protect children from significant abuse and neglect, each state and territory in Australia has enacted legislation commonly known as "mandatory reporting laws". There is much confusion about the nature and effects of these laws, both generally and within each jurisdiction. Accordingly, the main aim of this chapter is to review and explain the legislative principles across Australia. In doing so, the chapter will identify differences between the state and territory laws and will situate the laws as part of a system of responses to the whole spectrum of child abuse and neglect. We will also highlight the need for effective reporter training and public awareness, especially given the tension between the widely perceived need for a community response to child abuse and neglect and the simultaneous concern to avoid unnecessary reporting of innocuous events and situations.

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It is well known that, although a uniform magnetic field inhibits the onset of small amplitude thermal convection in a layer of fluid heated from below, isolated convection cells may persist if the fluid motion within them is sufficiently vigorous to expel magnetic flux. Such fully nonlinear(‘‘convecton’’) solutions for magnetoconvection have been investigated by several authors. Here we explore a model amplitude equation describing this separation of a fluid layer into a vigorously convecting part and a magnetically-dominated part at rest. Our analysis elucidates the origin of the scaling laws observed numerically to form the boundaries in parameter space of the region of existence of these localised states, and importantly, for the lowest thermal forcing required to sustain them.

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Protection for employees from unfair dismissal (UFD) has been around in Australia under various guises for 30 years or so (Chapman, 2006). Labour standards, and particularly ILO Convention 158 (Convention Concerning Termination of Employment at the Initiative of the Employer 1982), underpin the adoption of a particular form of federal statutory UFD regime which first appeared in the 1993 reforms to the Industrial Relations Act 1998 (Commonwealth). Its existence, however, has not been uncontroversial, and the meaning, operation, scope and remedies have attracted attention over time. In fact, the first reforms to the federal UFD regime were undertaken under the Keating Labor government three months after they were enacted (Chapman, ibid.). Further reforms were made by the incoming Howard Liberal-national coalition government through the Workplace Relations Act 1996 (Commonwealth) (WRA), and arguably these reforms continued down the ‘contraction’ path (ibid.).

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Mandatory reporting laws have been created in many jurisdictions as a way of identifying cases of severe child maltreatment on the basis that cases will otherwise remain hidden. These laws usually apply to all four maltreatment types. Other jurisdictions have narrower approaches supplemented by differential response systems, and others still have chosen not to enact mandatory reporting laws for any type of maltreatment. In scholarly research and normative debates about mandatory reporting laws and their effects, the four major forms of child maltreatment—physical abuse, sexual abuse, emotional abuse, and neglect—are often grouped together as if they are homogenous in nature, cause, and consequence. Yet, the heterogeneity of maltreatment types, and different reporting practices regarding them, must be acknowledged and explored when considering what legal and policy frameworks are best suited to identify and respond to cases. A related question which is often conjectured upon but seldom empirically explored, is whether reporting laws make a difference in case identification. This article first considers different types of child abuse and neglect, before exploring the nature and operation of mandatory reporting laws in different contexts. It then posits a differentiation thesis, arguing that different patterns of reporting between both reporter groups and maltreatment types must be acknowledged and analysed, and should inform discussions and assessments of optimal approaches in law, policy and practice. Finally, to contribute to the evidence base required to inform discussion, this article conducts an empirical cross-jurisdictional comparison of the reporting and identification of child sexual abuse in jurisdictions with and withoutmandatory reporting, and concludes that mandatory reporting laws appear to be associated with better case identification.

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This submission relates to the proposed amendment of the Crown Use provisions in the Patents Act 1990 (Cth) (“the Patents Act”),which are contained in Intellectual Property Laws Amendment Bill 2013 (“The Bill”). Specifically, the submission relates to the method of calculation of the remuneration payable to the patent applicant/owner in circumstances where the Crown exercises its rights under Chapter 17 of the Patents Act.

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The Land Sales Act 1984 regulates “off the plan” sales in Queensland in conjunction with several provisions in the Body Corporate and Community Management Act 1997. Together the Acts regulate sales in both unit developments and housing estates. From 2010 to 2013 the Queensland Government undertook a comprehensive review of the Land Sales Act 1984 to identify opportunities to modernise and improve the legislation. Significant changes were recommended by the Review to align the Land Sales Act 1984 (LSA) with current surveying and conveyancing practice and to overcome a number of practical issues faced by developers under the current legislation. A significant outcome of the review is the removal of provisions related to off the plan community title sales from the LSA to the Body Corporate and Community Management Act 1997 (BCCMA) and the Building Units and Group Titles Act 1980 (BUGTA). This article examines the Land Sales and Other Legislation Amendment Act 2014 due to commence in November 2014.

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This definitive guide (formerly the Australian Master OHS & Environment Guide) is a first point of reference for work health and safety best practice and strategy. Written by WHS and legal experts, the guide provides key information on the challenges that professionals and organisations face in relation to WHS. It includes valuable information on legal obligations and risk management, and covers the latest changes brought about by the Work Health and Safety Act.