Transreal limits expose category errors in IEEE 754 floating-point arithmetic and in mathematics

The IEEE 754 standard for oating-point arithmetic is widely used in computing. It is based on real arithmetic and is made total by adding both a positive and a negative infinity, a negative zero, and many Not-a-Number (NaN) states. The IEEE infinities are said to have the behaviour of limits. Transreal arithmetic is total. It also has a positive and a negative infinity but no negative zero, and it has a single, unordered number, nullity. We elucidate the transreal tangent and extend real limits to transreal limits. Arguing from this firm foundation, we maintain that there are three category errors in the IEEE 754 standard. Firstly the claim that IEEE infinities are limits of real arithmetic confuses limiting processes with arithmetic. Secondly a defence of IEEE negative zero confuses the limit of a function with the value of a function. Thirdly the definition of IEEE NaNs confuses undefined with unordered. Furthermore we prove that the tangent function, with the infinities given by geometrical con- struction, has a period of an entire rotation, not half a rotation as is commonly understood. This illustrates a category error, confusing the limit with the value of a function, in an important area of applied mathe- matics { trigonometry. We brie y consider the wider implications of this category error. Another paper proposes transreal arithmetic as a basis for floating- point arithmetic; here we take the profound step of proposing transreal arithmetic as a replacement for real arithmetic to remove the possibility of certain category errors in mathematics. Thus we propose both theo- retical and practical advantages of transmathematics. In particular we argue that implementing transreal analysis in trans- floating-point arith- metic would extend the coverage, accuracy and reliability of almost all computer programs that exploit real analysis { essentially all programs in science and engineering and many in finance, medicine and other socially beneficial applications.

Development and exploitation of a controlled vocabulary in support of climate modelling

There are three key components for developing a metadata system: a container structure laying out the key semantic issues of interest and their relationships; an extensible controlled vocabulary providing possible content; and tools to create and manipulate that content. While metadata systems must allow users to enter their own information, the use of a controlled vocabulary both imposes consistency of definition and ensures comparability of the objects described. Here we describe the controlled vocabulary (CV) and metadata creation tool built by the METAFOR project for use in the context of describing the climate models, simulations and experiments of the fifth Coupled Model Intercomparison Project (CMIP5). The CV and resulting tool chain introduced here is designed for extensibility and reuse and should find applicability in many more projects.

Friendly amendment: a commentary on Doyle and Ford's proposed re-definition of 'mental model'

Some amendments are proposed to a recent redefinition of the mental model concept in system dynamics. First, externalised, or articulated mental models should not be called cognitive maps; this term has a well established, alternative meaning. Second, there can be mental models of entities not yet existing beyond an individual's mind; the modelling of planned or desired systems is possible and recommended. Third, saying that mental models maintain social systems connects with some exciting research opportunities for system dynamics; however, it is probably an accidental distraction from the intended meaning of the redefinition. These minor criticisms apart, the new definition of mental model of a dynamic system is welcomed as a useful contribution to both research and practice.

Parabens can enable hallmarks and characteristics of cancer in human breast epithelial cells: a review of the literature with reference to new exposure data and regulatory status

A framework for understanding the complexity of cancer development was established by Hanahan and Weinberg in their definition of the hallmarks of cancer. In this review, we consider the evidence that parabens can enable development in human breast epithelial cells of 4/6 of the basic hallmarks, 1/2 of the emerging hallmarks and 1/2 of the enabling characteristics. Hallmark 1: parabens have been measured as present in 99% of human breast tissue samples, possess oestrogenic activity and can stimulate sustained proliferation of human breast cancer cells at concentrations measurable in the breast. Hallmark 2: parabens can inhibit the suppression of breast cancer cell growth by hydroxytamoxifen, and through binding to the oestrogen-related receptor gamma (ERR) may prevent its deactivation by growth inhibitors. Hallmark 3: in the 10nM to 1M range, parabens give a dose-dependent evasion of apoptosis in high-risk donor breast epithelial cells. Hallmark 4: long-term exposure (>20weeks) to parabens leads to increased migratory and invasive activity in human breast cancer cells, properties which are linked to the metastatic process. Emerging hallmark: methylparaben has been shown in human breast epithelial cells to increase mTOR, a key regulator of energy metabolism. Enabling characteristic: parabens can cause DNA damage at high concentrations in the short term but more work is needed to investigate long-term low-doses of mixtures. The ability of parabens to enable multiple cancer hallmarks in human breast epithelial cells provides grounds for regulatory review of the implications of the presence of parabens in human breast tissue.

No asylum for “Infiltrators”: the legal predicament of Eritrean and Sudanese nationals in Israel

This article explores the precarious status of Eritrean and Sudanese nationals in Israel. Having crossed the Israeli-Egyptian border without authorisation and not through an official border crossing, Israeli law defines such individuals as ‘infiltrators’, a charged term which dates back to border-crossings into Israel by Palestinian Fedayeen in the 1950s. Eritreans and Sudanese nationals constitute over 90 percent of ‘infiltrators’ in Israel. Their livelihood is curtailed through hostility, sanctions, and detention, while (at the time of writing) Israel refrains from deporting them to their respective countries of origin, recognising that such forced removal could expose them to risks to their lives and/or freedom. Israel was the 10th state to ratify the 1951 Refugee Convention, and has acceded to its 1967 Protocol which removed the 1951 Convention’s temporal and geographic restrictions, yet it has not incorporated these treaties into its domestic law not has it enacted primary legislation that sets eligibility criteria for ‘refugee’ status and regulates the treatment of asylum-seekers. Israeli law also fails to accord subsidiary protection status to persons that the state considers to be non-removable, whether or not they satisfy the definition of a ‘refugee’ under the 1951 Convention. Absent legal recognition of ‘refugee’, ‘asylum-seeker’, and ‘beneficiary of subsidiary protection’ statuses, Eritreans and Sudanese nationals are left in legal limbo for an indefinite period qua irregular non-removable persons. This article takes stock of their legal predicament.

'Salve, magna parens': Virgil’s 'laudes Italiae' in Renaissance Italy and beyond

This article traces three major strands in the reception of the address to Italy at the end of Virgil’s laudes Italiae in Book II of the Georgics. The first is the adoption of phrasing from these lines as the basis for expressions of devotion to the writer’s country (and for panegyric of contemporary rulers), or in inverted form to lament the present state of the author’s homeland; the second is the appropriation of Virgil’s hymnic apostrophe to his patria in poems on religious themes, where language from this passage is harnessed to invoke the supreme deity or the Virgin Mary, another magna parens; and the third is the use of Virgilian terminology to celebrate Virgil himself as the mighty parent of poetry and poets, whose words (including those of the lines under discussion) have inspired the literary endeavours of his successors across Europe and beyond throughout subsequent centuries.

Legal and regulatory barriers to effective public-private partnership governance in Kazakhstan

Purpose – The purpose of this paper is to provide a critical assessment of legal and regulatory impediments to effective governance of public-private partnerships (PPPs) in Kazakhstan. Design/methodology/approach – The qualitative study develops propositions from the PPP literature and then tests them against findings from in-depth interviews. Interviewees have been selected by a purposeful sampling from PPP projects in Kazakhstan as well as from national and regional PPP centres. Findings – The identified barriers to effective PPP management include irregularities in the PPP legal framework, such as lack of legal definition of a PPP and controversy with the government guarantee’s legal status for its long-term payments to partnerships; bureaucratic tariff setting for partnership services; non-existent opportunity for private asset ownership; and excessive government regulation of PPP workers’ wage rates. Practical implications – The partners’ opposing perspectives on a number of PPP issues show that management needs to identify and carefully reconcile stakeholder values in a partnership in order to achieve more effective PPP governance. Practitioners, particularly those in the public agencies, have to be concerned with ways to reduce the government overregulation of the private operators, which is likely to result in greater PPP flexibility in management and, ultimately, higher efficiency in delivering the public services. Originality/value – By elucidating multiple examples of overregulation and PPPs’ inefficiency, the paper demonstrates that the government dominance in PPP management is conceptually inappropriate. Instead, the government should adopt the concept of co-production and manage its relations with the private sector partner in a collaborative fashion.

The Golden Age returns: Virgil's fourth Eclogue in the political panegyric of the Italian courts

E. H. Gombrich and others have analysed the uses made of language and imagery from Virgil's famous fourth Eclogue in panegyrical writing by partisans of the Medici dynasty in Florence. This study examines the appropriation of the theme of the returning Golden Age and related motifs from the fourth Eclogue in other Italian courts during the same period, by supporters of the Visconti and Sforza of Milan, the Gonzaga of Mantua, Leonello d'Este and his successors in Ferrara, and the Bentivoglio of Bologna, among others. The deployment of this Virgilian material in political panegyric is seen to be a central element in the self-definition and self-promotion of dynastic rulers throughout the peninsula.

How do people perceive, understand, and anticipate responding to flash flood risks and warnings? Results from a public survey in Boulder, Colorado, USA

This study investigates flash flood forecast and warning communication, interpretation, and decision making, using data from a survey of 418 members of the public in Boulder, Colorado, USA. Respondents to the public survey varied in their perceptions and understandings of flash flood risks in Boulder, and some had misconceptions about flash flood risks, such as the safety of crossing fast-flowing water. About 6% of respondents indicated consistent reversals of US watch-warning alert terminology. However, more in-depth analysis illustrates the multi-dimensional, situationally dependent meanings of flash flood alerts, as well as the importance of evaluating interpretation and use of warning information along with alert terminology. Some public respondents estimated low likelihoods of flash flooding given a flash flood warning; these were associated with lower anticipated likelihood of taking protective action given a warning. Protective action intentions were also lower among respondents who had less trust in flash flood warnings, those who had not made prior preparations for flash flooding, and those who believed themselves to be safer from flash flooding. Additional analysis, using open-ended survey questions about responses to warnings, elucidates the complex, contextual nature of protective decision making during flash flood threats. These findings suggest that warnings can play an important role not only by notifying people that there is a threat and helping motivate people to take protective action, but also by helping people evaluate what actions to take given their situation.

The Cold War and its aftermath in the Americas: the search for a synthetic interpretation of U.S. policy

More than two decades have passed since the fall of the Berlin Wall and the transfer of the Cold War file from a daily preoccupation of policy makers to a more detached assessment by historians. Scholars of U.S.-Latin American relations are beginning to take advantage both of the distance in time and of newly opened archives to reflect on the four decades that, from the 1940s to the 1980s, divided the Americas, as they did much of the world. Others are seeking to understand U.S. policy and inter-American relations in the post-Cold War era, a period that not only lacks a clear definition but also still has no name. Still others have turned their gaze forward to offer policies in regard to the region for the new Obama administration. Numerous books and review essays have addressed these three subjects—the Cold War, the post-Cold War era, and current and future issues on the inter-American agenda. Few of these studies attempt, however, to connect the three subjects or to offer new and comprehensive theories to explain the course of U.S. policies from the beginning of the twentieth century until the present. Indeed, some works and policy makers continue to use the mind-sets of the Cold War as though that conflict were still being fought. With the benefit of newly opened archives, some scholars have nevertheless drawn insights from the depths of the Cold War that improve our understanding of U.S. policies and inter-American relations, but they do not address the question as to whether the United States has escaped the longer cycle of intervention followed by neglect that has characterized its relations with Latin America. Another question is whether U.S. policies differ markedly before, during, and after the Cold War. In what follows, we ask whether the books reviewed here provide any insights in this regard and whether they offer a compass for the future of inter-American relations. We also offer our own thoughts as to how their various perspectives could be synthesized to address these questions more comprehensively.

Decimal growth stages for precision wheat production in changing environments?

The utility of the decimal growth stage (DGS) scoring system for cereals is reviewed. The DGS is the most widely used scale in academic and commercial applications because of its comprehensive coverage of cereal developmental stages, the ease of use and definition provided and adoption by official agencies. The DGS has demonstrable and established value in helping to optimise the timing of agronomic inputs, particularly with regard to plant growth regulators, herbicides, fungicides and soluble nitrogen fertilisers. In addition, the DGS is used to help parameterise crop models, and also in understanding the response and adaptation of crops to the environment. The value of the DGS for increasing precision relies on it indicating, to some degree, the various stages in the development of the stem apex and spike. Coincidence of specific growth stage scores with the transition of the apical meristem from a vegetative to a reproductive state, and also with the period of meiosis, is unreliable. Nonetheless, in pot experiments it is shown that the broad period of booting (DGS 41–49) appears adequate for covering the duration when the vulnerability of meiosis to drought and heat stress is exposed. Similarly, the duration of anthesis (61–69) is particularly susceptible to abiotic stresses: initially from a fertility perspective, but increasingly from a mean grain weight perspective as flowering progresses to DGS 69 and then milk development. These associations with DGS can have value at the crop level of organisation: for interpreting environmental effects, and in crop modelling. However, genetic, biochemical and physiological analysis to develop greater understanding of stress acclimation during the vegetative state, and tolerance at meiosis, does require more precision than DGS can provide. Similarly, individual floret analysis is needed to further understand the genetic basis of stress tolerance during anthesis.

Terminology matters! Why difference is not incompleteness and how early child bilinguals are heritage speakers

This paper integrates research on child simultaneous bilingual (2L1) acquisition more directly into the heritage language (HL) acquisition literature. The 2L1 literature mostly focuses on development in childhood, whereas heritage speakers (HSs) are often tested at an endstate in adulthood. However, insights from child 2L1 acquisition must be considered in HL acquisition theorizing precisely because many HSs are the adult outcomes of child 2L1 acquisition. Data from 2L1 acquisition raises serious questions for the construct of incomplete acquisition, a term broadly used in HL acquisition studies to describe almost any difference HSs display from baseline controls (usually monolinguals). We offer an epistemological discussion related to incomplete acquisition, highlighting the descriptive and theoretical inaccuracy of the term. We focus our discussion on two of several possible causal factors that contribute to variable competence outcomes in adult HSs, input (e.g., Sorace, 2004; Rothman, 2007; Pascual y Cabo & Rothman, 2012) and formal instruction (e.g., Kupisch, 2013; Kupisch et al., 2014) in the HL. We conclude by offering alternative terminology for HS outcomes.

Cultural value of architecture in homes and neighbourhoods

This paper provides an account of the Cultural Value of Architecture in Homes and Neighbourhoods, (CVoA), a project developed with the Royal Institute of British Architects (RIBA). The first stage of the project was a critical review of ‘grey literature’ since 2000, industry based research on the value of architecture subdivided into themes: overall value; health and wellbeing; neighbourhood cohesion and heritage and belonging. Findings from the review revealed a marked absence of evidence of the value of architecture and an over preoccupation with the final building, the product of an interdisciplinary team not just Architects, as well as a general confusion about what it is that Architects do. Further consultation has led to the development of a framework for defining and communicating the skillsets of Architects and for developing an evidence base for their value. Our target audience is non-Architects as we are concerned with making the profession more inclusive hence our desire to create simple definitions and terminology.