Identification and elimination of a matrix-induced systematic error in LA–ICP–MS 206Pb/238U dating of zircon

Black et al. (2004) identified a systematic difference between LA–ICP–MS and TIMS measurements of 206Pb/238U in zircons, which they correlated with the incompatible trace element content of the zircon. We show that the offset between the LA–ICP–MS and TIMS measured 206Pb/238U correlates more strongly with the total radiogenic Pb than with any incompatible trace element. This suggests that the cause of the 206Pb/238U offset is related to differences in the radiation damage (alpha dose) between the reference and unknowns. We test this hypothesis in two ways. First, we show that there is a strong correlation between the difference in the LA–ICP–MS and TIMS measured 206Pb/238U and the difference in the alpha dose received by unknown and reference zircons. The LA–ICP–MS ages for the zircons we have dated can be as much as 5.1% younger than their TIMS age to 2.1% older, depending on whether the unknown or reference received the higher alpha dose. Second, we show that by annealing both reference and unknown zircons at 850 °C for 48 h in air we can eliminate the alpha-dose-induced differences in measured 206Pb/238U. This was achieved by analyzing six reference zircons a minimum of 16 times in two round robin experiments: the first consisting of unannealed zircons and the second of annealed grains. The maximum offset between the LA–ICP–MS and TIMS measured 206Pb/238U for the unannealed zircons was 2.3%, which reduced to 0.5% for the annealed grains, as predicted by within-session precision based on counting statistics. Annealing unknown zircons and references to the same state prior to analysis holds the promise of reducing the 3% external error for the measurement of 206Pb/238U of zircon by LA–ICP–MS, indicated by Klötzli et al. (2009), to better than 1%, but more analyses of annealed zircons by other laboratories are required to evaluate the true potential of the annealing method.

Error modeling and calibration of exteroceptive sensors for accurate mapping applications

Reliable robotic perception and planning are critical to performing autonomous actions in uncertain, unstructured environments. In field robotic systems, automation is achieved by interpreting exteroceptive sensor information to infer something about the world. This is then mapped to provide a consistent spatial context, so that actions can be planned around the predicted future interaction of the robot and the world. The whole system is as reliable as the weakest link in this chain. In this paper, the term mapping is used broadly to describe the transformation of range-based exteroceptive sensor data (such as LIDAR or stereo vision) to a fixed navigation frame, so that it can be used to form an internal representation of the environment. The coordinate transformation from the sensor frame to the navigation frame is analyzed to produce a spatial error model that captures the dominant geometric and temporal sources of mapping error. This allows the mapping accuracy to be calculated at run time. A generic extrinsic calibration method for exteroceptive range-based sensors is then presented to determine the sensor location and orientation. This allows systematic errors in individual sensors to be minimized, and when multiple sensors are used, it minimizes the systematic contradiction between them to enable reliable multisensor data fusion. The mathematical derivations at the core of this model are not particularly novel or complicated, but the rigorous analysis and application to field robotics seems to be largely absent from the literature to date. The techniques in this paper are simple to implement, and they offer a significant improvement to the accuracy, precision, and integrity of mapped information. Consequently, they should be employed whenever maps are formed from range-based exteroceptive sensor data. © 2009 Wiley Periodicals, Inc.

The Royal Commission into the NSW Police Service : process corruption and the limits of judicial reflexivity

This paper will offer an examination of the Reports of the Royal Commission into the NSW Police Service (Interim Report February 1996; Interim Report: Immediate Measures November 1996; Final Report Vol I: Corruption; Final Report Vol II: Reform; Final Report Vol III: Appendices May 1997) excluding the Report on Paedophilia, August 1997. The examination will be confined essentially to one question: to what extent do the published Reports consider the part played by the judiciary, prosecutors and lawyers, in the construction of a form of criminal justice revealed by the Commission itself, to be disfigured by serious process corruption? The examination will be conducted by way of a chronological trawl through the Reports of the Commission in an attempt to identify all references to the role of the judiciary, prosecutors and lawyers. The adequacy of any such treatment will then be considered. In order to set the scene a brief and generalised overview of the Wood Commission will be offered together with the Commission's definition of process corruption.

‘Structuring’ judicial sentencing discretion : consistency, guidance or pandering to the punitive?

Until quite recently, most Australian jurisdictions gave statutory force to the principle of imprisonment as a sanction of last resort, reflecting its status as the most punitive sentencing option open to the court.1 That principle gave primary discretion as to whether incarceration was the most appropriate means of achieving the purpose of a sentence to the sentencing court, which received all of the information relevant to the offence, the offender and any victim(s). The disestablishment of this principle is symptomatic of an increasing erosion of judicial discretion with respect to sentencing, which appears to be resulting in some extremely punitive consequences.

Withholding and withdrawing life-sustaining treatment in a patient's best interests : Australian judicial deliberations

•Intractable disputes about withholding and withdrawing life-sustaining treatment from adults who lack capacity are rare but challenging. Judicial resolution may be needed in some of these cases. •A central concept for judicial (and clinical) decision making in this area is a patient's “best interests”. Yet what this term means is contested. •There is an emerging Supreme Court jurisprudence that sheds light on when life-sustaining treatment will, or will not, be judged to be in a patient's best interests. •Treatment that is either futile or overly burdensome is not in a patient's best interests. Although courts will consider patient and family wishes, they have generally deferred to the views of medical practitioners about treatment decisions.

Combining opinions for use in Bayesian networks: A measurement error approach

Bayesian networks (BNs) are graphical probabilistic models used for reasoning under uncertainty. These models are becoming increasing popular in a range of fields including ecology, computational biology, medical diagnosis, and forensics. In most of these cases, the BNs are quantified using information from experts, or from user opinions. An interest therefore lies in the way in which multiple opinions can be represented and used in a BN. This paper proposes the use of a measurement error model to combine opinions for use in the quantification of a BN. The multiple opinions are treated as a realisation of measurement error and the model uses the posterior probabilities ascribed to each node in the BN which are computed from the prior information given by each expert. The proposed model addresses the issues associated with current methods of combining opinions such as the absence of a coherent probability model, the lack of the conditional independence structure of the BN being maintained, and the provision of only a point estimate for the consensus. The proposed model is applied an existing Bayesian Network and performed well when compared to existing methods of combining opinions.

Error and variance bounds on sigmoidal neurons with weight and input errors

Bounds on the expectation and variance of errors at the output of a multilayer feedforward neural network with perturbed weights and inputs are derived. It is assumed that errors in weights and inputs to the network are statistically independent and small. The bounds obtained are applicable to both digital and analogue network implementations and are shown to be of practical value.

A survey: Error control methods used in bio-cryptography

Integration of biometrics is considered as an attractive solution for the issues associated with password based human authentication as well as for secure storage and release of cryptographic keys which is one of the critical issues associated with modern cryptography. However, the widespread popularity of bio-cryptographic solutions are somewhat restricted by the fuzziness associated with biometric measurements. Therefore, error control mechanisms must be adopted to make sure that fuzziness of biometric inputs can be sufficiently countered. In this paper, we have outlined such existing techniques used in bio-cryptography while explaining how they are deployed in different types of solutions. Finally, we have elaborated on the important facts to be considered when choosing appropriate error correction mechanisms for a particular biometric based solution.

Environmental Crime and Specialist Courts: The case for a ‘One-Stop (Judicial) Shop’ in Queensland

The increasing international political, public and scientific engagement in matters of environmental sustainability and development has produced a rapidly expanding body of environmental law and policy. The advent of international protocols, directives, and multilateral agreements has occurred concomitantly with the harmonisation of widespread environmental regimes of governance and enforcement within numerous domestic settings. This has created an unprecedented need for environmental legal apparatuses to manage, regulate and adjudicate legislation seeking to protect, sustain and develop global natural habitats. The evolving literature in green criminology continues to explore these developments within discourses of power, harm and justice. Such critiques have emphasised the role of dedicated environmental courts to address environmental crimes and injustices. In this article, we examine the important role of specialist courts in responding to environmental crime, with specific reference to the State of Queensland. We offer a critique of existing processes and practices for the adjudication of environmental crime and propose new jurisdictional and procedural approaches for enhancing justice. We conclude that specialist environmental courts endowed with broad civil and criminal jurisdiction are an integral part of an effective response to environmental crime.

A narrative analysis of judicial attitudes towards sexual harassment in Japan

This study applies a narrative analysis of the first two judicial decisions on sexual harassment in Japan to test claims of a culture of gender bias in Japanese judicial attitudes towards victims of sexual violence. Although the results do not provide an unambiguous support or rebuttal of gendered justice in Japan, they do reveal some of the dangers of narrative analysis as a basis for making generalizable claims about how law functions in Japanese society.

Effect of age and refractive error on the melanopsin mediated Post-Illumination Pupil Response (PIPR)

Melanopsin containing intrinsically photosensitive Retinal Ganglion cells (ipRGCs) mediate the pupil light reflex (PLR) during light onset and at light offset (the post-illumination pupil response, PIPR). Recent evidence shows that the PLR and PIPR can provide non-invasive, objective markers of age-related retinal and optic nerve disease, however there is no consensus on the effects of healthy ageing or refractive error on the ipRGC mediated pupil function. Here we isolated melanopsin contributions to the pupil control pathway in 59 human participants with no ocular pathology across a range of ages and refractive errors. We show that there is no effect of age or refractive error on ipRGC inputs to the human pupil control pathway. The stability of the ipRGC mediated pupil response across the human lifespan provides a functional correlate of their robustness observed during ageing in rodent models.

Bayesian designs with frequentist and Bayesian error rate considerations

So far, most Phase II trials have been designed and analysed under a frequentist framework. Under this framework, a trial is designed so that the overall Type I and Type II errors of the trial are controlled at some desired levels. Recently, a number of articles have advocated the use of Bavesian designs in practice. Under a Bayesian framework, a trial is designed so that the trial stops when the posterior probability of treatment is within certain prespecified thresholds. In this article, we argue that trials under a Bayesian framework can also be designed to control frequentist error rates. We introduce a Bayesian version of Simon's well-known two-stage design to achieve this goal. We also consider two other errors, which are called Bayesian errors in this article because of their similarities to posterior probabilities. We show that our method can also control these Bayesian-type errors. We compare our method with other recent Bayesian designs in a numerical study and discuss implications of different designs on error rates. An example of a clinical trial for patients with nasopharyngeal carcinoma is used to illustrate differences of the different designs.

Mesh-free approximations via the error reproducing kernel method and applications to nonlinear systems developing shocks

Error estimates for the error reproducing kernel method (ERKM) are provided. The ERKM is a mesh-free functional approximation scheme [A. Shaw, D. Roy, A NURBS-based error reproducing kernel method with applications in solid mechanics, Computational Mechanics (2006), to appear (available online)], wherein a targeted function and its derivatives are first approximated via non-uniform rational B-splines (NURBS) basis function. Errors in the NURBS approximation are then reproduced via a family of non-NURBS basis functions, constructed using a polynomial reproduction condition, and added to the NURBS approximation of the function obtained in the first step. In addition to the derivation of error estimates, convergence studies are undertaken for a couple of test boundary value problems with known exact solutions. The ERKM is next applied to a one-dimensional Burgers equation where, time evolution leads to a breakdown of the continuous solution and the appearance of a shock. Many available mesh-free schemes appear to be unable to capture this shock without numerical instability. However, given that any desired order of continuity is achievable through NURBS approximations, the ERKM can even accurately approximate functions with discontinuous derivatives. Moreover, due to the variation diminishing property of NURBS, it has advantages in representing sharp changes in gradients. This paper is focused on demonstrating this ability of ERKM via some numerical examples. Comparisons of some of the results with those via the standard form of the reproducing kernel particle method (RKPM) demonstrate the relative numerical advantages and accuracy of the ERKM.

Error bounds for calculation of the Gittins indices

For a wide class of semi-Markov decision processes the optimal policies are expressible in terms of the Gittins indices, which have been found useful in sequential clinical trials and pharmaceutical research planning. In general, the indices can be approximated via calibration based on dynamic programming of finite horizon. This paper provides some results on the accuracy of such approximations, and, in particular, gives the error bounds for some well known processes (Bernoulli reward processes, normal reward processes and exponential target processes).

Obvious error in approach to default costs assessment

The decision of Henry J in Ginn & Anor v Ginn; ex parte Absolute Law Lawyers & Attorneys [2015] QSC 49 provides clarification of the approach to be taken on a default costs assessment under r708 of the Uniform Civil Procedure Rules 1999