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This paper deals with applications of Voronin’s universality theorem for the Riemann zeta-function $\zeta$. Among other results we prove that every plane smooth curve appears up to a small error in the curve generated by the values $\zeta(\sigma+it)$ for real t where $\sigma\in(1/2,1)$ is fixed. In this sense, the values of the zeta-function on any such vertical line provides an atlas for plane curves. In the same framework, we study the curvature of curves generated from $\zeta(\sigma+it)$ when $\sigma>1/2$ and we show that there is a connection with the zeros of $\zeta'(\sigma+it)$. Moreover, we clarify under which conditions the real and the imaginary part of the zeta-function are jointly universal.
This study aimed to evaluate the sensory processing abilities of adults with acquired hearing loss and determine whether their sensory processing patterns differ from those of the general population and adults with normal hearing.
Method
The study evaluated the sensory processing functions of 30 adults with acquired hearing loss using the Adolescent/Adult Sensory Profile and compared them with the sensory processing functions of 30 adults with normal hearing.
Results
The results showed that individuals with hearing loss have a significantly higher sensitivity to stimuli related to motion, vision, activity and touch, exhibiting a low-registration sensory pattern and a sensation-avoiding pattern that differed from those of most individuals.
Conclusion
Assessing sensory processing profiles can help identify specific sensory difficulties and inform individualised treatment plans. The study highlights the importance of considering sensory processing patterns in the management of hearing loss to improve overall well-being and quality of life for adults with hearing loss.
This short commentary is a general analysis of the current state of the knowledge–policy relationship in the disaster field. This “science–policy interface” was described as fundamental in the 2015 UN Sendai Framework. However, midway to the 2030 deadline, there have been concerns from both the UN and academia about the lack of policy compared to research production. This suggests that barriers to this relationship may exist. To explain these, recent scholarship on factors influencing the general relationship between knowledge and policy is examined. Aspects of the “shape” of disaster research and its effect on policy creation are also examined, and a new direction is proposed. How the UN’s initial approach plausibly did not support this interface is also explained; however, more recent advocacy suggests that the organization has taken a new approach that may prove effective. Overall, a debate within the disaster field about its role in policy creation may be necessary.
Erdős, Graham and Selfridge considered, for each positive integer n, the least value of $t_n$ so that the integers $n+1, n+2, \dots, n+t_n $ contain a subset the product of whose members with n is a square. An open problem posed by Granville concerns the size of $t_n$, under the assumption of the ABC conjecture. We establish some results on the distribution of $t_n$, and in the process solve Granville’s problem unconditionally.
This study provides a behavioral account of opportunistic diversification. We argue that top executives’ social comparison with peer firms based on business segment performance can lead them to increase their investments in high-profitability new businesses (i.e., opportunistic diversification). Specifically, when the performance of a firm's main business relative to its peer firms’ high-profitability business segment falls short of their aspirations, the firm's top executives will engage in problemistic search and subsequently increase opportunistic diversification. This effect is stronger when the firm is similar to peer firms along key firm characteristics and when top executives of the firm are underpaid. Although opportunistic diversification helps improve a firm's short-term accounting performance, it may weaken its long-term performance. Using Chinese non-real-estate firms’ diversification investment in real estate as our empirical context, we find support for our arguments.
The 2022–2023 review of the Reserve Bank of Australia, published in March 2023, was a missed opportunity to reconsider the currently dominant framework for monetary policy. This framework, based on strong central bank independence and reliance on adjustments to central bank interest rates to achieve a 2–3% inflation target, has performed poorly at a global level and is no longer sustainable. A new framework, accepting a higher average rate of inflation and taking explicit account of the objectives of full employment and economic prosperity, is needed.
A crucial ingredient in the theory of theta liftings of Kudla and Millson is the construction of a $q$-form $\varphi_{KM}$ on an orthogonal symmetric space, using Howe's differential operators. This form can be seen as a Thom form of a real oriented vector bundle. We show that the Kudla-Millson form can be recovered from a canonical construction of Mathai and Quillen. A similar result was obtaind by Garcia for signature $(2,q)$ in case the symmetric space is hermitian and we extend it to arbitrary signature.
The National Health Service (NHS) recognised the risk to public health brought by climate change by launching the Greener NHS National Programme in 2020. These organisational changes aim to attain net zero direct carbon emissions. This article reviews the literature on initiatives aimed at mitigating the environmental impact of ENT practice.
Method
Systematic review of the literature using scientific, healthcare and general interest (public domain) databases.
Results
The initiatives reviewed can be broken down into strategies for mitigating the carbon footprint of long patient stay, use of operative theatres and healthcare travel. The carbon footprint of in-patient stay can be mitigated by a shift towards day-case surgery. The ENT community is currently focused on the reduction of theatre waste and the use of disposable instruments. Furthermore, supply chains and healthcare delivery models are being redesigned to reduce travel.
Conclusion
Future areas of development include designing waterless theatre scrubs, waste-trapping technologies for anaesthetic gases and a continuing investment in virtual healthcare.
The article aims to analyse how the business power of actors in the Argentine automotive industry influenced the foreign trade policies relevant to the sector between 2002 and 2015. The research methods employed combine documentary sources, interviews with key informants and descriptive statistics. The overall findings show how automakers achieved considerable power in the first stage of the period, obtaining clear benefits in terms of foreign trade policy. However, macroeconomic and political changes in Argentina after 2008 had a negative impact on their business power, leading to their enjoying a reduced number of trade policy concessions.
What, this essay asks, is the relation between contemporary IR scholarship and the existentialist intellectual and cultural tradition? How is our discipline informed and animated by existentialist thinking? Is existentialism a heritage to be recovered, claimed, and embraced by IR scholars, or a shadow to be escaped? And what resources does it furnish us for thinking through the kind of issues that IR scholars are called upon to grapple with today? These questions are not purely theoretical. There are practical and political reasons, not only for considering them, but for considering them now. Living through what has been termed an unfolding ‘Age of Anxiety’, we find ourselves confronted by existential questions and existentialist ideas at almost every turn. It is, however, unclear how substantive or meaningful this apparently existentialist moment truly is. Does existentialism have something to say to contemporary IR, or does it flatter to deceive? We think the time is ripe to take stock of existentialism as it relates to IR and global politics. This is the purpose of this article and of the collection of essays it introduces.
Preservation of stochastic orders through the system signature has captured the attention of researchers in recent years. Signature-based comparisons have been made for the usual stochastic order, hazard rate order, and likelihood ratio orders. However, for the mean residual life (MRL) order, it has recently been proved that the preservation result does not hold true in general, but rather holds for a particular class of distributions. In this paper, we study whether or not a similar preservation result holds for the mean inactivity time (MIT) order. We prove that the MIT order is not preserved from signatures to system lifetimes with independent and identically distributed (i.i.d.) components, but holds for special classes of distributions. The relationship between these classes and the order statistics is also highlighted. Furthermore, the distribution-free comparison of the performance of coherent systems with dependent and identically distributed (d.i.d.) components is studied under the MIT ordering, using diagonal-dependent copulas and distorted distributions.
Despite the influx of Chinese FDI at the dawn of the 21st century and decades of neo-liberal, market-oriented economic policies in Africa, the pervasive nature of institutional voids (particularly in the labor market) has been constantly flagged as an impediment to socio-economic development in the continent. This has prompted calls for more research into the ability of independent African states to pursue viable labor market policy options, from a business system perspective. While institutional theory (specifically the notion of institutional voids) suggests the use of market-supporting and contract-enforcement structures and processes to enable the efficient functioning of the economy, it does not address the effect of strong external ‘powers’ on weak local institutions in developing countries. This study qualitatively explores how the shifting geopolitical landscape (power) from Western to Chinese sources of FDI shaped the nature and evolution of labor market institutions in Cameroon. The findings show that an entrenched parochial and crony Cameroonian institutional context was at the mercy of transnational forces playing a pivotal role, rather than coherent national socio-economic policy options, in shaping labor market institutions in the country. In an act of political complicity, the dynamics that flowed from Chinese FDI have engendered a regressive turn toward the failed nationalistic labor market policies pursued by Cameroon after independence. This article contributes to revealing the debilitating role of Chinese and Western FDI, and the ensuing dynamics, in the creation and sustenance of labor market institutions in a parochial developing economic context characterized by regulative institutional voids.
The fragility index represents the minimum number of patients required to convert an outcome from statistically significant to insignificant. This report assesses the fragility index of head and neck cancer randomised, controlled trials.
Methods
Studies were extracted from PubMed/Medline, Scopus, Embase and Cochrane databases.
Results
Overall, 123 randomised, controlled trials were included. The sample size and fragility index medians (interquartile ranges) were 103 (56–213) and 2 (0–5), respectively. The fragility index exceeded the number of patients lost to follow up in 42.3 per cent (n = 52) of studies. A higher fragility index correlated with higher sample size (r = 0.514, p < 0.001), number of events (r = 0.449, p < 0.001) and statistical significance via p-value (r = −0.367, p < 0.001).
Conclusion
Head and neck cancer randomised, controlled trials demonstrated low fragility index values, in which statistically significant results could be nullified by altering the outcomes of just two patients, on average. Future head and neck oncology randomised, controlled trials should report the fragility index in order to provide insight into statistical robustness.