I argue, through Heidegger, that the notion of τὸ ἐξαίφνης in the Parmenides does not signify eternity, or a trace of eternity in time, but rather implies a primordial conception of time. In deduction two, the relationship between stasis and kinesis becomes problematic due to the notion of τὸ νῦν. This leads Parmenides, in deduction three, to posit the notion of τὸ ἐξαίφνης to solve this problematic relationship, implying a primordial conception of time.

Consider a financial market with nonnegative semimartingales which does not need to have a numéraire. We are interested in the absence of arbitrage in the sense that no self-financing portfolio gives rise to arbitrage opportunities, where we are allowed to add a savings account to the market. We will prove that in this sense the market is free of arbitrage if and only if there exists an equivalent local martingale deflator which is a multiplicative special semimartingale. In this case, the additional savings account relates to the finite-variation part of the multiplicative decomposition of the deflator.

This paper builds on the recent aDNA results from Hazleton North chambered tomb to explore how people might have repeatedly negotiated kinship, descent, and affinity in Early Neolithic southern Britain. Hazleton North was constructed around 3700 cal bc, was in use for less than a century, and – unlike many other Cotswold-Severn tombs – was never modified to alter the arrangement of chambers. The aDNA analysis from 35 individuals whose remains were deposited at the site revealed that 27 were biologically related and represented five sequential generations. Here we explore changing practices across those generations. We argue that Hazleton North was constructed to demonstrate the vitality of a lineage at a specific moment in time while choices about who to entomb indicate an inclusive expansion of the lineage in the first two generations which is not evident during the remaining generations. We argue that by the third generation lineage members increasingly chose to dispose of the remains of their dead elsewhere. Hazleton North was built in a landscape rich in earlier tombs, many of which were modified to produce long cairns with multiple chambers: some of those formed opposed pairs similar to the chambered areas at Hazleton North. We argue this was part of a growing trend in ‘kinship work’ which accentuated lineal descent and sub-lineage distinctions in the centuries around 3700 cal bc. However, deposition at Hazleton North was short-lived. This can be set in the local context of not only the construction and use of further chambered tombs but also increasing investment in larger corporate projects like causewayed enclosures. These enclosures formed new arenas where negotiations of descent and community were played out with increased intensity and in different ways to activities at chambered tombs. Overall, we argue that kinship, affiliation, and belonging were repeatedly renegotiated among the monument building communities of Early Neolithic southern Britain.

While existing work has demonstrated that campaign donations can buy access to benefits such as favorable legislation and preferential contracting, we highlight another use of campaign contributions: buying reductions in regulatory enforcement. Specifically, we argue that in return for campaign contributions, Colombian mayors who rely on donor-funding (compared with those who do not) choose not to enforce sanctions against illegal deforestation activities. Using a regression discontinuity design, we show that deforestation is significantly higher in municipalities that elect donor-funded as opposed to self-funded politicians. Further analysis shows that only part of this effect can be explained by differences in contracting practices by donor-funded mayors. Instead, evidence of heterogeneity in the effects according to the presence of alternative formal and informal enforcement institutions, and analysis of fire clearance, support the interpretation that campaign contributions buy reductions in the enforcement of environmental regulations.

The uncertainty and insecurity generated by COVID-19 has greatly reshaped work styles, bringing employees more strain and less engagement and subsequently making human resource management (HRM) more challenging. There has been a growing interest in employee work engagement in the field of HRM. This study utilized positive psychology and the job demands-resources model to explore the mediating mechanism between high-performance work systems (HPWS) and employee work engagement. Based on survey data from 71 senior HR managers and 288 employees of 71 China's manufacturing state-owned enterprises, multilevel structural equation modeling shows that HPWS is positively related to work engagement. Employee-perceived internal marketability fully mediates the relationship between HPWS and work engagement. The key result of this paper is that employee-perceived internal marketability is seen as a core personal psychological resource that can be developed through HPWS to benefit both employers and employees.

This note corrects an error in the formula to obtain the Whittle index using the Sherman–Morrison formula in Akbarzadeh and Mahajan (2022). Also, some other minor typos are highlighted.

When is it justified to use opaque artificial intelligence (AI) output in medical decision-making? Consideration of this question is of central importance for the responsible use of opaque machine learning (ML) models, which have been shown to produce accurate and reliable diagnoses, prognoses, and treatment suggestions in medicine. In this article, I discuss the merits of two answers to the question. According to the Explanation View, clinicians must have access to an explanation of why an output was produced. According to the Validation View, it is sufficient that the AI system has been validated using established standards for safety and reliability. I defend the Explanation View against two lines of criticism, and I argue that within the framework of evidence-based medicine mere validation seems insufficient for the use of AI output. I end by characterizing the epistemic responsibility of clinicians and point out how a mere AI output cannot in itself ground a practical conclusion about what to do.

This note is motivated by recent studies by Eriksson-Bique and Soultanis about the construction of charts in general metric measure spaces. We analyze their construction and provide an alternative and simpler proof of the fact that these charts exist on sets of finite Hausdorff dimension. The observation made here offers also some simplification about the study of the relation between the reference measure and the charts in the setting of $\text {RCD}$ spaces.

This article takes a comparative look at language teacher anxiety (LTA) vis-à-vis students’ language classroom anxiety (LCA) and contends the benefit of pursuing and expanding LTA research. Specifically, the paper first traces the development of LTA inquiry from its inception in the 1990s until today and highlights how it historically aligned with and, more recently, diverges from LCA research. After establishing LTA as an idiosyncratic variable in instructed language learning and teaching contexts, I grapple with the questions of whether and why LTA merits further research attention and suggest that the pursuit of LTA research is not only beneficial to examine the role of teachers’ emotions in instructed language learning but also for the advancement of three other flourishing domains in the field of second language acquisition (SLA). These include the diversification of theoretical frameworks through which language classroom emotions can be examined, the advancement of research methodologies, and the role of emotions in social justice-centered approaches to language teaching (e.g., pedagogies of discomfort).

Des bouleversements importants ont profondément secoué le monde du commerce international en 2022. Alors que la pandémie de COVID-19 affectait encore les chaînes d’approvisionnement et les déplacements, qu’on faisait face à une pénurie de main-d’œuvre importante et qu’une récession nous menaçait, d’autres événements majeurs sont venus déstabiliser encore plus notre économie. D’abord, le 28 janvier 2022, un convoi de camionneurs a pris d’assaut la capitale nationale et y a paralysé le centre-ville durant près de trois semaines. Ensuite, un autre groupe de camionneurs a bloqué certaines routes, dont le pont Ambassador entre Windsor et Détroit, considéré comme un point de passage névralgique pour la fourniture de pièces automobiles, ayant occasionné des pertes évaluées à plus d’un million de dollars par jour. 1 Enfin, le 24 février 2022, la Fédération de Russie agressait l’Ukraine, marquant le début d’une longue guerre dont les impacts économiques dépassent largement les frontières de la région.2 En effet, le monde a connu une déstabilisation supplémentaire des chaînes d’approvisionnement3 ainsi qu’une hausse importante du prix des matières premières et de l’énergie, ce qui a entraîné une baisse du volume des échanges4 ainsi qu’une crise alimentaire majeure.5 Enfin, face à l’attitude de la Fédération de Russie, de nombreux pays ont adopté des régimes de sanction économique, fragilisant encore plus l’équilibre pour les entreprises. À ce titre, à lui seul, le Canada a adopté plus de 1700 mesures de sanction économique à l’égard d’individus ou d’entités pour réagir à l’agression russe.6 De toute évidence, la résilience des marchés a été fortement sollicitée.

Long-term climate and vegetation data were used to determine the role of rainfall variability and its seasonal distribution on litterfall nutrients. Based on a 20-year data set on rainfall (range 334–1,506 mm per year) and litterfall nutrients from old-growth tropical dry forest (TDF) in Mexico, we examined litterfall N and P concentrations from the rainy and dry seasons in response to rainfall in the rainy (June–October) and the dry (November–May) seasons, the latter referred to as out-of-season precipitation (OSP). Rainy-season litterfall N concentrations, but not P concentrations nor N:P ratios, changed positively (p < 0.001) in response to rainy-season precipitation. Dry-season litterfall N concentrations and N:P ratios, but not litterfall P, increased (p ≤ 0.02) in response to rainfall from the preceding rainy season. N:P ratios of dry-season litterfall in years with OSP were higher only during dry years and N concentrations decreased in wet years (p < 0.05). The narrow range in dry-season litterfall P concentrations (1.00–1.15 mg g-1), irrespective of rainfall amount and OSP, suggests P conservation. The variation in litterfall N, but not litterfall P, in response to rainfall variability reveals a divergent nutrient response along steep changes in water availability in this TDF.

We find sufficient conditions on explosion/non-explosion for continuous-state branching processes with competition in a Lévy random environment. In particular, we identify the necessary and sufficient conditions on explosion/non-explosion when the competition function is a power function and the Lévy measure of the associated branching mechanism is stable.

The aim of this paper is to develop the theory of groups definable in the p-adic field ${{\mathbb {Q}}_p}$, with “definable f-generics” in the sense of an ambient saturated elementary extension of ${{\mathbb {Q}}_p}$. We call such groups definable f-generic groups.

So, by a “definable f-generic” or $dfg$ group we mean a definable group in a saturated model with a global f-generic type which is definable over a small model. In the present context the group is definable over ${{\mathbb {Q}}_p}$, and the small model will be ${{\mathbb {Q}}_p}$ itself. The notion of a $\mathrm {dfg}$ group is dual, or rather opposite to that of an $\operatorname {\mathrm {fsg}}$ group (group with “finitely satisfiable generics”) and is a useful tool to describe the analogue of torsion-free o-minimal groups in the p-adic context.

In the current paper our group will be definable over ${{\mathbb {Q}}_p}$ in an ambient saturated elementary extension $\mathbb {K}$ of ${{\mathbb {Q}}_p}$, so as to make sense of the notions of f-generic type, etc. In this paper we will show that every definable f-generic group definable in ${{\mathbb {Q}}_p}$ is virtually isomorphic to a finite index subgroup of a trigonalizable algebraic group over ${{\mathbb {Q}}_p}$. This is analogous to the o-minimal context, where every connected torsion-free group definable in $\mathbb {R}$ is isomorphic to a trigonalizable algebraic group [5, Lemma 3.4]. We will also show that every open definable f-generic subgroup of a definable f-generic group has finite index, and every f-generic type of a definable f-generic group is almost periodic, which gives a positive answer to the problem raised in [28] of whether f-generic types coincide with almost periodic types in the p-adic case.

We show that for a fixed $q$, the number of $q$-ary $t$-error correcting codes of length $n$ is at most $2^{(1 + o(1)) H_q(n,t)}$ for all $t \leq (1 - q^{-1})n - 2\sqrt{n \log n}$, where $H_q(n, t) = q^n/ V_q(n,t)$ is the Hamming bound and $V_q(n,t)$ is the cardinality of the radius $t$ Hamming ball. This proves a conjecture of Balogh, Treglown, and Wagner, who showed the result for $t = o(n^{1/3} (\log n)^{-2/3})$.