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We show a new method of estimating the Hausdorff measure of a set from below. The method requires computing the subsequent closest return times of a point to itself.
We revisit the problem of a solid sphere rising slowly in a rotating short container filled with a slightly viscous fluid, with emphasis on the drag force. The data of the classical experiments of Maxworthy (J. Fluid Mech., vol. 31, 1968, pp. 643–655) and recent experiments of Kozlov et al. (Fluids, vol. 8 (2), 2023, paper 49), and the available geostrophic and quasi-geostrophic theories, are subjected to a novel scrutiny by combined reprocessing and comparisons. The measured drag is, consistently, about 20 % lower than the geostrophic prediction (assuming that flow is dominated by the Ekman layers, while in the inviscid cores the Coriolis acceleration is supported by the pressure gradient). The major objective is the interpretation and improvement of the gap between data and predictions. We show that the data cover a small range of relevant parameters (in particular the Taylor number $T$ and the height ratio $H$ of cylinder to particle diameter) that precludes a thorough and reliable assessment of the theories. However, some useful insights and improvements can be derived. The hypothesis that the discrepancy between data and the geostrophic prediction is due to inertial effects (not sufficiently small Rossby number $Ro$ in the experiments) is dismissed. We show that the major reason for the discrepancy is the presence of relatively thick Stewartson layers about the cylinder (Taylor column) attached to the sphere. The $1/3$ layer displaces the boundary condition of the angular velocity ($\omega = 0$) outside the radius of the particle. This observation suggests a semi-empirical correction to the theoretical quasi-geostrophic predictions (which takes into account the Ekman layers and the $1/4$ Stewartson layers); the corrected drag is in fair agreement with the data. We demonstrate that the inertial terms are negligible for $Ro\,T^{1/2} <0.4$. We consider curve-fit approximations, and point out some persistent gaps of knowledge that require further experiments and simulations.
It is a common view that artificial systems could play an important role in dealing with the shortage of caregivers due to demographic change. One argument to show that this is also in the interest of care-dependent persons is that artificial systems might significantly enhance user autonomy since they might stay longer in their homes. This argument presupposes that the artificial systems in question do not require permanent supervision and control by human caregivers. For this reason, they need the capacity for some degree of moral decision-making and agency to cope with morally relevant situations (artificial morality). Machine ethics provides the theoretical and ethical framework for artificial morality. This article scrutinizes the question how artificial moral agents that enhance user autonomy could look like. It discusses, in particular, the suggestion that they should be designed as moral avatars of their users to enhance user autonomy in a substantial sense.
A nonlinear evolution equation correct to fourth order is developed for gravity-capillary waves on linear shear currents in finite water depth. Therefore, this equation covers both effects of depth uniform currents and uniform vorticity. Starting from this equation, an instability analysis is then made for narrow banded uniform Stokes waves. The notable feature is that our investigation due to fourth order shows a remarkable improvement compared with the third-order one, and produces an excellent result compatible with the exact result of Longuet-Higgins. We observe that linear shear currents considerably change the modulational instability properties of capillary-gravity waves, such as the growth rate and bandwidth of instability.
Public participation is widely considered to be an indispensable part of contemporary constitution-making processes, largely because it is thought to create a sense of public ownership of the new constitution. However, as recent research has shown that public participation has little actual impact on the content of the constitution, this supposed link is puzzling. How can ineffective participation contribute to public support for the constitution? We address this puzzle by subjecting it to experimental tests. In two recontact survey experiments conducted across six countries, we empirically tested the effects of various forms of participation at the constitution drafting stage and their concrete impact on public support for the constitution. We found that the act of participating in itself has little effect on support for the constitution but that broader cues that give the impressions of a fair process can have significant positive effects. This indicates that participation in constitution drafting can increase public support for a constitution regardless of the extent to which it has an impact on the constitutional text and that the appearance of a fair process is the link between participation and support.
This paper discusses a secondary addition of syllable-final glottal stops in Ganan (Sino-Tibetan > Sal > Jingpho-Luish). In particular, it deals with the phenomenon where words ending with i or u in Luish languages Cak and Kadu have an additional glottal stop in Ganan. This study found that words ending with i or u can be reconstructed as either *i or *iy or *u or *uw respectively, and the secondary glottal stop is added in Ganan when the reconstructed form is *iy or *uw and does not have a high tone.
The Chinese government promotes cooperation between colleges and companies in vocational education to improve the supply of skilled workers and increase labour productivity. This study employs the concept of positive coordination – negotiations concurrently addressing productive and distributive questions – to analyse the advantages and limitations of voluntary cooperation embedded in networks. In terms of production, many projects focus on updating, narrowing and deepening curricula to lower the costs of initial training borne by companies and the risk of labour turnover. In terms of distribution, however, the deep and narrow curricula are at odds with students’ preference for general and transferable skills; and the mutual commitments of both companies and students are uncertain. The solutions provided by cooperation are partial and unstable. Overall, they reduce skill mismatches but cannot control turnover or overcome market failure, which undermines tertiary vocational education's contribution to labour productivity.
In the Arabian Peninsula, lexically diminutive personal names, family names and place names are ubiquitous. In a dataset of 9,060 Arabian names, 1,717 (19 per cent) are diminutive. This article finds that the diminutive pattern CiCēC (cf. Classical CuCayC) has meanings and functions in Arabic names that are distinct from its meanings and functions in common nouns. In addition to expected meanings related to size, the diminutive carries partitive and attributive meanings. It may simply mark a name (as an onymic) or derive a name (as a transonymic). The diminutive may disambiguate two similar names found in close proximity (e.g. Diba ≠ Dubai). The form and function of the diminutive differ categorically according to what kind of name is diminutivized, supporting the semantic-pragmatic theory of names. A quantitative analysis of toponyms indicates that diminutive names are associated with Bedouin dialects and practices, as suggested by previous research.
Needleless connectors (NCs) can be disinfected using antiseptic barrier caps (ABCs) to reduce the risk of catheter-related bloodstream infections. However, recent evidence suggests that isopropanol can leak from the ABC into the NC, posing concern about their safe use. We sought to determine in vitro which ABC and NC parameters influence the leakage of isopropanol through the infusion circuit.
Methods:
We assessed 13 NCs and 4 ABCs available in the European market. In vitro circuits consisting of an isopropanol cap, a NC, and an 11-cm catheter line were created. The circuits were left in place for 1 to 7 days at room temperature to assess the kinetics of isopropanol leakage. Isopropanol content in ABC and in circuit flushing solutions (5 mL NaCl 0.9%) after exposure to the cap were measured using gas chromatography with a flame ionization detector.
Results:
The leakage of isopropanol from the cap to the NC was dependent on the NC, but not the cap. The NC mechanism did not predict the leakage of isopropanol. The Q-Syte NC exhibited the most isopropanol leakage (7.01±1.03 mg and 28.32±2.62 mg at 24 hours and 7 days, respectively), whereas the Caresite NC had the lowest isopropanol leakage at 7 days (1.69±0.01 mg).
Conclusion:
The use of isopropanol ABCs can cause isopropanol leakage into the catheter circuit according to NC parameters. Caution should be exercised when using these devices, especially in the pediatric and neonatal population.