We prove results about subshifts with linear (word) complexity, meaning that $\limsup \frac {p(n)}{n} < \infty $, where for every n, $p(n)$ is the number of n-letter words appearing in sequences in the subshift. Denoting this limsup by C, we show that when $C < \frac {4}{3}$, the subshift has discrete spectrum, that is, is measurably isomorphic to a rotation of a compact abelian group with Haar measure. We also give an example with $C = \frac {3}{2}$ which has a weak mixing measure. This partially answers an open question of Ferenczi, who asked whether $C = \frac {5}{3}$ was the minimum possible among such subshifts; our results show that the infimum in fact lies in $[\frac {4}{3}, \frac {3}{2}]$. All results are consequences of a general S-adic/substitutive structure proved when $C < \frac {4}{3}$.

This article overviews the earliest weed management book published in the United States. The most problematic weeds of that era are named, along with suggestions for their control.

Has Visual International Relations (IR) become too distant from the content of visual artefacts? This is a paradoxical question. Visual IR is a vibrant and pluralist field exploring visuals in innumerable ways. Nonetheless, the field tends to focus on ‘deep’ readings of the socio-political implications of visual artefacts at the expense of a close and attentive observation and description of the events, situations, or phenomena they may depict. Simply put, visual IR usually analyses visuals-as-visuals rather than seeing them as entry points for studying the social world. But might a video of torture teach us something about the practicality of torture? Might a video of peace negotiations teach us something about their successes or failures? Can we gain a fleeting glimpse of ‘reality’ within visuals? We address these questions by first situating our focus on close ‘visual (data) observation’ in conceptual conversation with the literature’s existing focus on deep interpretation. Second, we outline three approaches to visual observation as they are deployed outside IR. Third, we unpack how those approaches might be of value for IR, especially vis-à-vis the study of practice, materiality, and discourse. Finally, we conclude by asking if visual data observation can retain critical political potentiality.

In A Treatise of Human Nature, David Hume claims that causes must temporally precede their effects. However, his main argument for this claim has long puzzled commentators. Indeed, most commentators have dismissed this argument as confused, but beyond this dismissal, the argument has provoked relatively little critical attention. My aim in this paper is to rectify this situation. In what follows, I (i) clarify the argument’s interpretive challenges, (ii) critique two existing interpretations of it, and (iii) offer my own improved interpretation. More generally, I hope to throw new light on this puzzling aspect of Hume’s philosophy.

In this paper, we study multiple zeta values (abbreviated as MZV’s) over function fields in positive characteristic. Our main result is to prove Thakur’s basis conjecture, which plays the analogue of Hoffman’s basis conjecture for real MZV’s. As a consequence, we derive Todd’s dimension conjecture, which is the analogue of Zagier’s dimension conjecture for classical real MZV’s.

The English language continues to function as a form of linguistic capital in former British colonies. Although previous studies on World English lexicon documented how and what English lexical items entered another language, few studies have been conducted to investigate the typology of lexical interaction between two postcolonial English varieties. This paper aims to describe how Cantonese-origin English culinary lexical terms were spread from either Hong Kong or Singapore, whilst illustrating the possible multitrajectory pathways of lexical interaction in the Cantophone world by demonstrating five types of translingual practices of food words with Cantonese roots. The lexical examples of food words discussed in this paper were taken from Instagram, Google Map, Google Search, Google Trends, and Oxford English Dictionary. Drawing on the theoretical notion of the ‘sunflower model’, this qualitative study argues that Sinograph (a logographic written system; also known as Honzi) is a space of mediation, which plays an influential role in shaping the trajectories of culinary lexical terms across multilingual Asia. Findings also suggest that individuals’ multilingual competencies and the bidirectional influences between two Sinitic varieties (Cantonese and Mandarin) could shape spelling variations and conventions in Asian Englishes.

Dengue, chikungunya, and Zika are arboviruses that cause 390 million infections annually. Risk factors for hospitalization are poorly understood. Communities affected by these diseases have an escalating prevalence of allergies and obesity, which are linked to immune dysfunction. We assessed the association of allergies or body mass with hospitalization for an arbovirus infection. From 2014 to 2017, we recruited participants with a clinical diagnosis of arbovirus infection. Arbovirus infections were laboratory-confirmed and allergies were self-reported. Mid-upper arm circumference (MUAC), weight, and height were measured. We used two logistic regression models to assess the relationships between hospitalization and allergies and between hospitalization and body mass (MUAC for participants <20 years old and body mass index (BMI) for adults ≥20 years old). Models were stratified by age group and adjusted for confounders. For allergies, 41 of 265 were hospitalized. There was no association between allergies and hospitalization. For body mass, 34 of 251 were hospitalized. There was a 43% decrease in hospitalization odds for each additional centimetre MUAC among children (aOR 0.566, 95% CI 0.252–1.019) and a 12% decrease in hospitalization odds for each additional BMI unit among adults (aOR 0.877, 95% CI 0.752–0.998). Our work encourages the exploration of the underlying mechanisms.

This paper examines the presence of Reeves’ pheasant (Syrmaticus reevesii) in Britain. It investigates how encounters between British people and Reeves’ pheasant informed their imaginings of the species, from its first introduction into Britain from China in 1831 to 1913 when a serious decline in its numbers began. Drawing on natural history texts, records from the Proceedings of the Zoological Society of London, technical literature on pheasant rearing, and extracts from periodicals, magazines, and generalist encyclopaedias, this paper shows how imagined and physical encounters with Reeves’ pheasant, by naturalists, acclimatisers, pheasant enthusiasts, and sportsmen, informed shifting constructions of the species, which influenced and shaped its presence in Britain.

Non-judicial remedies for corporate human rights abuses have a viable and complementary role to judicial remedies in mature jurisdictions, although in Ukraine the ‘bouquet’ of effective remedies is more of a still-life. The national mediation community is gaining momentum and the authors argue that mediation may take place within state-based non-judicial remedies when institutionalized by the office of the Ombudsman. The objective of this article is to scrutinize the rule of law, access to justice, and the effectiveness criteria of the UNGPs with regard to mediation. The authors conclude that mediation can meet all of the effectiveness criteria requirements and special effort should be devoted to addressing the challenges of power imbalances between parties, the confidential nature of mediation and the public demand for transparency, to ensure that mediation outcomes are in accord with internationally recognized human rights. Based on the findings, the authors suggest that a state-based business and human rights mediation scheme, in line with the UNGPs’ effectiveness criteria, should have its own three pillars, namely, accessibility, availability and awareness, with quality assurance as its cornerstone.

The aims of the present study were to assess secular trends in breast-feeding and to explore associations between age at introduction of solid foods and breast-feeding duration. Data from three national dietary surveys in Norway were used, including infants born in 1998 (Spedkost 1, n 1537), 2006 (Spedkost 2, n 1490) and 2018 (Spedkost 3, n 1831). In all surveys, around 80 % of the infants were breastfed at 6 months of age. At 12 months of age, breast-feeding rate was 41 % in Spedkost 1, increasing to 48 % in Spedkost 2 and 51 % in Spedkost 3. Compared with earlier introduction, introduction of solid foods at ≥ 5 months of age was associated with a lower risk of breast-feeding cessation during the first year of life in the two most recent Spedkost surveys. In Spedkost 2, the adjusted hazard ratio for breast-feeding cessation during the first year of life for those introduced to solid foods at ≥ 5 months of age was 0·43 (95 % CI (0·31, 0·60)), P < 0·001, while the corresponding number in Spedkost 3 was 0·44 (95 % CI (0·29, 0·67)), P < 0·001. In conclusion, breast-feeding at infant age 12 months increased over time. Introduction of solid foods at ≥ 5 months of age was positively associated with breast-feeding duration in the two most recent Spedkost surveys. As breast-feeding contributes to numerous health benefits for infant and mother, and possibly improved dietary sustainability in infancy, findings point to the importance of continued protection, support and promotion of breast-feeding.

This article gives an overview of the global water law research and provides a contemporary understanding of water law spanning across public and private law questions of natural resources use, environmental protection, and water-related disasters. The overview is based on a systematic literature review. Using HLA Hart’s distinction, we divide the various strands of water law scholarship into two main perspectives, namely the internal and the external. From the law’s internal perspective, water law research is conducted with an intent to interpret and clarify rights and obligations in existing legal instruments, such as multilateral agreements and national statutes, and case law. Based on the literature review, vibrant themes from this perspective are water use and protection, water cooperation, human right to water, rights of nature, water security, water services, and coherence between legal instruments and institutions. From law’s external perspective, the focus of water law research is to analyse and understand how law as an instrument and societal institution facilitates and steers, but also impedes, the movement of public and private actors toward certain societal goals effectively and legitimately. Here, themes such as water law in collaborative and adaptive governance, ecosystem approach, good governance, and climate change adaptation are central.

Gramsch and Lay [8] gave spectral mapping theorems for the Dunford-Taylor calculus of a closed linear operator $T$,

\[ \widetilde{\sigma}_i(f(T)) = f(\widetilde{\sigma}_i(T)), \]

$\widetilde {\sigma }_i$

$f$

$f$

$\widetilde \sigma$