We study spaces of continuous functions and sections with domain a paracompact Hausdorff k-space $X$ and range a nilpotent CW complex $Y$, with emphasis on localization at a set of primes. For $\mathop {\rm map}\nolimits _\phi (X,\,Y)$, the space of maps with prescribed restriction $\phi$ on a suitable subspace $A\subset X$, we construct a natural spectral sequence of groups that converges to $\pi _*(\mathop {\rm map}\nolimits _\phi (X,\,Y))$ and allows for detection of localization on the level of $E^2$. Our applications extend and unify the previously known results.

A dense Ecklonia radiata (Laminariales) kelp forest extending at least 35 km has been found between 45 and 60 m depth range within the mesophotic zone inside the iSimangaliso marine-protected area (MPA) at the iSimangaliso Wetland park World Heritage Site on the east coast of South Africa. This is the first visual confirmation of the occurrence of E. radiata beds in subtropical South Africa, in an area situated between the tropical and subtropical bioregions, in an area that spans the Natal and Delagoa bioregions of the south-western Indian Ocean, more than 350 km north of its previously documented South African range. The kelp was found to be present across the length of the MPA, but dense beds were present only in the southern Natal bioregion, with sparse occurrences observed elsewhere on soft-coral and sponge-dominated reefs in the upper mesophotic zone. The footage was collected in November 2020, May 2021 and November 2022 during remotely operated vehicle and drop camera surveys of the mesophotic zone inside the MPA. This discovery adds to the body of knowledge on the global distribution of Laminariales populations in deep tropical and subtropical settings and the diversity of habitats within South Africa's largest coastal MPA.

“Building Blocs” charts a global history of the last great crisis of globalization—the transwar decades from the 1880s through the 1940s—by centering strategic minerals needed to make steel. Little studied, but critically important, alloying minerals like tungsten and manganese were only needed in small amounts, but they were essential to the foundations of both national prosperity and security: steel and military production. Herein lay a fundamental problem: none of the industrial powers possessed adequate domestic deposits of these minerals, which were concentrated in remote locations such as central India, the Caucasus, southern China, Brazilian jungles, the Australian outback, and southern Africa. In a world in which steel was power, “Building Blocs” shows that resource anxieties motivated interwar quests for autarky and autonomy in the form of self-contained blocs. The scramble for strategic minerals escalated tensions and put rivals on the road to war, reshaping the forms and structures of geopolitical entities and international institutions throughout the transwar period.

The coronavirus disease 2019 (COVID-19) pandemic has provided a great lesson for the globe about the necessity and significance of pandemics-related preparedness in all settings. Public health emergency operation centers play critical roles in preparing for and responding to public health events and emergencies by coordinating and pooling resources. In this article, we aimed to share lessons learnt from the public health response to the louse-borne relapsing fever (LBRF) outbreak coordinated by the emergency operation center established to respond to the COVID-19 pandemic in Jimma, Ethiopia.

After the major waves of COVID-19 outbreaks in Ethiopia were over, Jimma University Medical Center (JUMC) reported clusters of louse-borne relapsing fever cases from Jimma Main Prison. Accordingly, Jimma Emergency Operation Center (JEOC) established for the COVID-19 pandemic was immediately alerted and effectively coordinated the overall response.

As a result, the outbreak was contained within the prison without spreading to the community and the outbreak ended within a shorter period compared to previous LBRF outbreaks in Ethiopia. This indicates the necessity of establishing and sustaining public health emergency operation centers to prepare for and combat potential future public health emergencies.

We investigate the groups of units of one-relator and special inverse monoids. These are inverse monoids which are defined by presentations, where all the defining relations are of the form $r=1$. We develop new approaches for finding presentations for the group of units of a special inverse monoid, and apply these methods to give conditions under which the group admits a presentation with the same number of defining relations as the monoid. In particular, our results give sufficient conditions for the group of units of a one-relator inverse monoid to be a one-relator group. When these conditions are satisfied, these results give inverse semigroup theoretic analogues of classical results of Adjan for one-relator monoids, and Makanin for special monoids. In contrast, we show that in general these classical results do not hold for one-relator and special inverse monoids. In particular, we show that there exists a one-relator special inverse monoid whose group of units is not a one-relator group (with respect to any generating set), and we show that there exists a finitely presented special inverse monoid whose group of units is not finitely presented.

A growing literature focuses on the role of political partisanship in shaping attitudes and behaviors during the COVID-19 pandemic in the United States. We provide a different perspective, by developing a theory of how partisanship interacts with another important factor that shapes how people think and behave in the context of the pandemic—local norms. Using a combination of survey data and a survey experiment, we demonstrate the importance of norms in shaping both support for social distancing and reported social-distancing behavior, particularly amongst independents and Republicans. We then confirm that perceptions of norms are indeed tied to what is actually happening around people—that their partisanship does not blind them to reality. Our analysis is the first to examine how partisanship and norms interact with each other and helps to explain why partisan differences matter more in some places than in others.

Let $K={\mathbb {Q}}(\theta )$ be an algebraic number field with $\theta $ satisfying a monic irreducible polynomial $f(x)$ of degree n over ${\mathbb {Q}}.$ The polynomial $f(x)$ is said to be monogenic if $\{1,\theta ,\ldots ,\theta ^{n-1}\}$ is an integral basis of K. Deciding whether or not a monic irreducible polynomial is monogenic is an important problem in algebraic number theory. In an attempt to answer this problem for a certain family of polynomials, Jones [‘A brief note on some infinite families of monogenic polynomials’, Bull. Aust. Math. Soc. 100 (2019), 239–244] conjectured that if $n\ge 3$, $1\le m\le n-1$, $\gcd (n,mB)=1$ and A is a prime number, then the polynomial $x^n+A (Bx+1)^m\in {\mathbb {Z}}[x]$ is monogenic if and only if $n^n+(-1)^{n+m}B^n(n-m)^{n-m}m^mA$ is square-free. We prove that this conjecture is true.

Record-sized specimens of the ornate eagle ray Aetomylaeus vespertilio and mangrove whipray Urogymnus granulatus were caught by single-day trawlers off Pamban Island in the Gulf of Mannar, Tamil Nadu, India during 2021 and 2022. All were landed at the Pamban Therkuvadi Fish Landing Centre (FLC). The largest ornate eagle ray was 384 cm disc width (DW) and weighed 530 kg, setting a new global record for the species, as the previous maximum size was reported to be 300 cm DW. This specimen was landed on 19 July 2021. Another large specimen of this species (360 cm DW and total weight of 453 kg) was caught and landed on 12 August 2022. The landed mangrove whipray was 153 cm DW and 150 kg total weight, larger than the previously reported maximum size of 141 cm DW. The morphometrics, stomach contents and reproductive state were studied. One of the eagle rays was a pregnant female with three full-term embryos in the uterus, while the whipray was a spent female. The main prey species in the stomach of eagle ray was big-eye scad Selar crumenophthalmus. The mangrove whipray had fed on a range of fish (pigface bream, goatfish, silverbellies, silverbiddies and lesser sardine) and octopus.

We give an adequate, concrete, categorical-based model for Lambda-${\mathcal S}$, which is a typed version of a linear-algebraic lambda calculus, extended with measurements. Lambda-${\mathcal S}$ is an extension to first-order lambda calculus unifying two approaches of non-cloning in quantum lambda-calculi: to forbid duplication of variables and to consider all lambda-terms as algebraic linear functions. The type system of Lambda-${\mathcal S}$ has a superposition constructor S such that a type A is considered as the base of a vector space, while SA is its span. Our model considers S as the composition of two functors in an adjunction relation between the category of sets and the category of vector spaces over $\mathbb C$. The right adjoint is a forgetful functor U, which is hidden in the language, and plays a central role in the computational reasoning.

This essay examines the intellectual history of the idea of judicial restraint, starting with the early debates among the US Constitution’s founding generation. In the late nineteenth century, law professor James Bradley Thayer championed the concept and passed it on to his students and others, including Oliver Wendell Holmes Jr., Learned Hand, Louis Brandeis, and Felix Frankfurter, who modified and applied it based on the jurisprudential preoccupations of a different era. In a masterful account, Brad Snyder examines Justice Frankfurter’s attempt to put the idea into practice. Although Frankfurter arguably made a mess of it, he passed the idea of judicial restraint on to Alexander Bickel and others. Today it remains a topic of much academic debate, while Supreme Court Justices occasionally give the idea lip service when it advances outcomes they desire.

I propose that the intellectual history of judicial restraint reflects the all-too-human inability to refrain from exercising power. The founders, focused on the need to mitigate the flaws of human nature in designing the executive and legislative branches, failed to sufficiently foresee how the same flaws would affect members of the judiciary. The failed idea of judicial restraint stands as the legacy of the founders’ mistake.

Single-ended and balanced 90–120 GHz microstrip power amplifier MMICs have been designed for cost-sensitive 5G and 6G backhaul in a commercial 6-inch, 0.1-µm GaAs process. At 108 GHz, measured output power is 20.4 and 22.5 dBm, respectively. At 120 GHz, measured output is 12.6 and 17.4 dBm, respectively. This is the highest reported for GaAs, among the highest reported to date for microstrip MMIC amplifiers at these frequencies and competitive with more expensive InP and GaN processes. Measurement is compared with simulation.

This review aims to critically evaluate the efficacy of long-chain ո-3 PUFA ingestion in modulating muscle protein synthesis (MPS), with application to maintaining skeletal muscle mass, strength and function into later life. Ageing is associated with a gradual decline in muscle mass, specifically atrophy of type II fibres, that is exacerbated by periods of (in)voluntary muscle disuse. At the metabolic level, in otherwise healthy older adults, muscle atrophy is underpinned by anabolic resistance which describes the impaired MPS response to non-pharmacological anabolic stimuli, namely, physical activity/exercise and amino acid provision. Accumulating evidence implicates a mechanistic role for n-3 PUFA in upregulating MPS under stimulated conditions (post-prandial state or following exercise) via incorporation of EPA and DHA into the skeletal muscle phospholipid membrane. In some instances, these changes in MPS with chronic ո-3 PUFA ingestion have translated into clinically relevant improvements in muscle mass, strength and function; an observation evidently more prevalent in healthy older women than men. This apparent sexual dimorphism in the adaptive response of skeletal muscle metabolism to EPA and DHA ingestion may be related to a greater propensity for females to incorporate ո-3 PUFA into human tissue and/or the larger dose of ingested ո-3 PUFA when expressed relative to body mass or lean body mass. Future experimental studies are warranted to characterise the optimal dosing and duration of ո-3 PUFA ingestion to prescribe tailored recommendations regarding n-3 PUFA nutrition for healthy musculoskeletal ageing into later life.

For migrant workers who do not have access to other means of income, the platform economy offers a viable yet exploitative alternative to the conventional labour market. Migrant workers are used as a source of cheap labour by platforms – and yet, they are not disempowered. They are at the heart of a growing platform worker movement. Across different international contexts, migrants have played a key role in leading strikes and other forms of collective action. This article traces the struggles of migrant platform workers in Berlin and London to explore how working conditions, work experiences, and strategies for collective action are shaped at the intersection of multiple precarities along lines of employment and migration status. Combining data collected through research by the Fairwork project with participant observation and ethnography, the article argues that migrant workers are more than an exploitable resource: they are harbingers of change.