Matrix derivatives and Kronecker products for the core and generalized core inverses

We first discuss the Moore-Penrose, Drazin, core and some generalized core inverses, and then use the matrix differential calculus to newly establish matrix derivatives for some of the important matrix functions involving these generalized inverses. We present the generalized inverses of the Kronecker product of two matrices as well.</p

Communist roots to anti-nuclear sentiment in Australia

At the end of the second world war, the Chifley Labor government became involved in a joint project with Britain to develop nuclear weapons. The fall of Singapore in 1942 ended Australia’s illusion that the Mother Country would always come to our aid. And while thousands of Americans lost their lives defending Australia, conflicts with communists in Malaya, Korea, and Vietnam meant our backyard was not as safe as we thought. Australia’s flirtation with communism in the post-war era impacted our defence and intelligence capability. Our allies simply did not trust us with details of ‘the bomb’. Attempts by left-leaning, well-meaning pacifists to form a world government to manage nuclear weapons helped the cause of international socialism. The anti-nuclear sentiment that still exists here today has its roots in communism in Australia

A review of interconnected challenges in the water–energy–food nexus:Urban pollution perspective towards sustainable development

The swift growth of cities worldwide poses significant challenges in ensuring a sufficient water, energy, and food supply. The Nexus has innovated valuable systems to address these challenges. However, a crucial issue is the potential for pollution resulting from these systems, which directly and indirectly impacts public health and the overall quality of urban living. This study comprehensively reviews the interconnected challenges of the water-energy-food (WEF) nexus and various forms of pollution in cities. The primary focus of this review article is to showcase the findings of WEF nexus studies regarding various pollutions across different geographical regions and spatial scales. It aims to examine the problems resulting from these pollutions, specifically their effects on human health and urban life. It also delves into the sources of pollution as identified in these studies. Furthermore, the article will highlight the proposed solutions from the research aimed at effectively mitigating pollution in each sector studied. This article is a systematic review which analyses research sources from the Scopus database. It extensively reviewed 2463 peer-reviewed published articles and focused explicitly on articles related to the WEF nexus that discussed pollution. Our study emphasizes, firstly, raising awareness about the crucial link between the WEF nexus, pollution, urban environments, and human health among policymakers and key stakeholders, including urban planners, industry partners and municipalities. This is to promote the development of policies that encourage sustainable practices and key stakeholders. Secondly, it evaluates WEF nexus and pollution research methods and findings, aiding in identifying research gaps technological innovation and potential, as well as enhancing decision-making. Lastly, it outlines future research challenges, providing a roadmap for researchers and policymakers to advance understanding in this domain and identify opportunities for resource efficiency and collaboration between different sectors.</p

The Institutional Origins of Canada’s Telecommunications Mosaic

The paper argues that the political circumstances leading up to Canadian Confederation resulted in a significant and lasting impact upon the institutional origins of Canada’s telecommunications market that persisted into the 21st century. It does so by first outlining the ideas and institutional dynamism that flowed from political rivalries in the lead-up to Confederation and coincided with the deployment of the telegraph. Second, the article discusses how commercial disputes created separate telegraph and telephone industries that embedded Canada’s unique telecommunications mosaic. The article concludes with a discussion of the importance of considering the local and regional imperative, and the legacies created by the original rationale, in developing national telecommunications policy. Canada’s approach sits somewhere between the private ownership model adopted by the United States and the public ownership model adopted in Australia. The major lesson from Canada is that, where diverse circumstances exist, addressing local and regional political imperatives can provide opportunities that might otherwise be overlooked by attempts to provide a standardised national solution in the delivery of telecommunications services to citizens

The intimate viewfinder:Poetic ekphrasis of photographs and the illusion of the real

As digital photography proliferates in the contemporary world, theorists and creative writers continue to debate what photographs signify and how the poetic ekphrasis of photographs should be understood. This has become a pressing issue in an age when new technologies allow the easy manipulation of digital images – which, depending on the context in which they are viewed, are increasingly being characterised as creative, imaginative, unreliable or deceptive. Yet nineteenth- and early to mid-twentieth-century theorists tended to assume that photographs had a direct, if complex, relationship to observable, external reality, something reiterated by Susan Sontag as late as 1977. This paper discusses how ekphrastic poems by Thomas Hardy and Philip Larkin enshrine assumptions about photography that are now shifting, and how contemporary ekphrastic poems about photographs increasingly challenge, sometimes subversively, photography’s link to the ‘real’. Such poetry continues to emphasise the way photographs connote a ‘chasm’ or ‘thickening’ of time but are more troubled than earlier authors by the idea that photographs may not represent anything clear or knowable. Eve Joseph’s and Leslie Scalapino’s poetry demonstrates ways in which photographs tend to juxtapose a sense of transience with a new sense of photography’s sometimes obdurate problematics

Current practice, guideline adherence, and barriers to implementation for Achilles tendinopathy rehabilitation:a survey of physical therapists and people with Achilles tendinopathy

OBJECTIVE: To explore clinical practice patterns of physical therapists (PTs) who treat people with Achilles tendinopathy (AT), and identify perceived barriers and facilitators for prescribing and engaging with therapeutic exercise among PTs and people with AT.METHODS: Two cross-sectional surveys were electronically distributed between November 2021 and May 2022; one survey was designed for PTs while the second was for people with AT. Survey respondents answered questions regarding their physical therapy training and current practice (PTs), injury history and management (people with AT), and perceived barriers and facilitators (PTs and people with AT).RESULTS: 341 PTs and 74 people with AT completed the surveys. In alignment with clinical practice guidelines, more than 94% of PTs surveyed (97% of whom had some form of advanced musculoskeletal training) prioritise patient education and therapeutic exercise. Patient compliance, patient knowledge, and the slow nature of recovery were barriers to prescribing therapeutic exercise reported by PTs, while time, physical resources, and a perceived lack of short-term treatment effectiveness were barriers for people with AT.CONCLUSIONS: Consistent with clinical practice guidelines, PTs with advanced training reported prioritising therapeutic exercise and education for managing AT. However, both PTs and people with AT identified many barriers to prescribing or engaging with therapeutic exercise. By addressing misconceptions about the time burden and ineffectiveness of exercise, and by overcoming access issues to exercise space and equipment, PTs may be able to improve intervention adherence and subsequently outcomes for people with AT.</p

PaVa:A novel path-based valley-seeking clustering algorithm

Clustering methods are being applied to a wider range of scenarios involving more complex datasets, where the shapes of clusters tend to be arbitrary. In this paper, we propose a novel Path-based Valley-seeking clustering algorithm for arbitrarily shaped clusters. This work aims to seek the valleys among clusters and then individually extract clusters. Three vital techniques are used in this algorithm. First, path distance (minmax distance) is employed to transform the irregular boundaries among clusters, that is density valleys, into perfect spherical shells. Second, a suitable density measurement, k-distance, is employed to make adjustment on Minimum Spanning Tree, by which a robust minmax distance is calculated. Third, we seek the transformed density valleys by determining their centers and radii. Based on the vital techniques, the main contributions of the proposed algorithm can be summarized as follows. First, the clusters are wrapped in spherical shells after the distance transformation, making the extraction process efficient even with clusters of arbitrary shape. Second, adjusted Minimum Spanning Tree enhances the robustness of minmax distance under different kinds of noise. Last, the number of clusters does not need to be inputted or decided manually due to the individual extraction process. After applying the proposed algorithm to several commonly used synthetic datasets, the results indicate that the Path-based Valley-seeking algorithm is accurate and efficient. The algorithm is based on the dissimilarity of objects, so it can be applied to a wide range of fields. Its performance on real-world datasets illustrates its versatility.</p

Reform, hybridization, and revival: the status of new public management in Australia and New Zealand

This paper addresses the degree to which new public management (NPM) has continued to be an influential model for central government reform in Australia and New Zealand, two early adopters and exemplars of NPM. We analyse recent reform agendas and their impact on NPM in both countries. Several institutional and other types of explanations are provided for why NPM is retained, modified, or revived. NPM systems may resist or be diluted by new layers, or the incorporation of techniques and approaches from reform menus, producing revival, discontinuity and forms of hybridization