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The article introduces a novel class of 4R1H mechanisms, where 4R indicates four revolute joints and 1H indicates one helical joint. The paper starts with the type synthesis of these mechanisms, which involves combining two kinematic chains with planar and cylindrical motion types into a single closed-loop kinematic chain. If we fix any link in such a chain, we get a workable mechanism. The synthesis procedure considers two options for the relative arrangement of these two kinematic chains. Adding an H joint to the kinematic chain allows us to design mechanisms whose output link performs spatial motion. Using the proposed synthesis procedure, we develop a family of 4R1H mechanisms. Next, we choose one mechanism as a representative example and consider its mobility, singularity, kinematic, and dynamic analysis. Using screw theory, we confirm the mechanism has one degree of freedom and determine its singular configurations. Kinematic analysis provides closed-form expressions to calculate displacements, velocities, and accelerations of all the mechanism links. Dynamic analysis uses these results to compute the motor torque required for one motion cycle. To verify the suggested analytical algorithms and obtained results, we use computer-aided design tools, which allow us to develop virtual and physical prototypes.
A small trilobite assemblage, including Parabolina (Neoparabolina) frequens, assignable to the Parabolina Fauna, has been recovered from the Furongian (Cambrian Stage 10) Sah Member of the Mila Formation in the Tuyeh–Darvar section, the eastern Alborz Mountains, north Iran. The assemblage includes eight genera and species; two of them, Niobella darvarensis n. sp. and Macropyge (Promacropyge) sahensis n. sp., are new to science. The incursion of a Parabolina fauna into Alborz is confined to a significant drowning event with associated dark-gray shale deposition, which most probably occurred in the lower part of the Cordylodus proavus conodont Zone. While the generic composition of the assemblage is mostly cosmopolitan with the exception of the endemic Alborsella, the occurrence of Indiligens, Macropyge (Promacropyge) sahensis n. sp., Agnostotes sp. aff. A. sulcatus, and Leiagnostus bexelli indicates faunal links with South China and Tarim. Parabolina (Neoparabolina) frequens is widespread mainly in offshore deposits from temperate Gondwana (Armorican terrane assemblage, Argentina) and Baltica of about that age.
Predation is a behavior that is commonly unsuccessful, but the cause of failure is often difficult to determine in the fossil record. Here, we report on gastropod drill holes in two Plio- and Miocene bivalve specimens from the Netherlands created from the inner side of the bivalve prey's shell, which we call reverse drill holes. These holes are unequivocally caused by failure of the gastropod drilling predators to make effective use of their chemoreception and mechanoreception sensory adaptations. We hypothesize that the diffuse nature of chemical cues emanating from dense aggregations of living prey could have confused foraging predators and stimulated them to initiate the drilling process on empty valves. Poor decision making due to hunger is an alternative hypothesis. These traces represent the first reported examples of reverse gastropod drill holes from the fossil record, and the first attributed to Naticidae. Compared to other types of failed predation (incomplete drill holes and drill holes in multiply-drilled specimens) in the two assemblages studied, reverse drill holes are rare (< 1% of drill holes). This result implies that the driller's sensory and decision-making processes were generally reliable at distinguishing dead from live prey.
Leading-edge noise is a complex phenomenon that occurs when a turbulent fluid encounters a solid object, and is a notable concern in various engineering applications. This study enhances a mathematical leading-edge noise model (Hales et al., J. Fluid Mech., vol. 970, 2023, A29) for anisotropic flow and porous boundaries. The model has two key components. First, we adjust the velocity spectrum to account for the possibility of anisotropy in the flow. This paper rigorously introduces a third dimension for the turbulence spectrum that preserves the turbulence kinetic energy and mathematical definitions for integral length scales. Second, we adapt the fully analytical acoustic transfer function to account for different boundaries by implementing convective impedance boundary conditions when formulating the gust-diffraction problem. This problem is then solved using the Wiener–Hopf technique. We discuss important aspects of this method, including the factorisation of a non-trivial scalar kernel function and the application of suitable edge conditions for the problem. Each modification is inspired by experimental leading-edge noise data using a series of different porous leading edges and anisotropic turbulence generated by a cylinder upstream of the edge. Experimental data demonstrate the interplay between anisotropy and leading-edge modifications while achieving the characteristic mid-frequency noise reduction expected from porous leading edges. Our model is adapted to best fit the trends of the data via a tailored impedance function, leading to good agreement with all datasets across an extended frequency range. This tailored function is used to successfully validate the model against other datasets from a different set of experiments.
We present our library for universal algebra in the UniMath framework dealing with multi-sorted signatures, their algebras and the basics for equation systems. We show how to implement term algebras over a signature without resorting to general inductive constructions (currently not allowed in UniMath) still retaining the computational nature of the definition. We prove that our single sorted ground term algebras are instances of homotopy W-types. From this perspective, the library enriches UniMath with a computationally well-behaved implementation of a class of W-types. Moreover, we give neat constructions of the univalent categories of algebras and equational algebras by using the formalism of displayed categories and show that the term algebra over a signature is the initial object of the category of algebras. Finally, we showcase the computational relevance of our work by sketching some basic examples from algebra and propositional logic.
This essay discusses how the European Community used its relations with the Third World to leverage increased power in the Cold War. It argues that resuscitating the interwar concept of Eurafrica to emerge as a credible alternative to Cold War superpowers went hand in hand with the systematic effort to distance themselves from the colonial legacy and the American strategy. It claims that it took a dynamic leader – Claude Cheysson – to make the Common Market a pivotal actor of globalism, with regional partnership and support of the new international economic order, until its transformative potential waned with the neoliberal turn of the 1980s.
The datasets on the Italian political class provides two sets of information: (a) census data on a broad spectrum of individual-level variables on elected politicians, offering an updated mapping of the characteristics of more than 20,000 Italian representatives at all governmental levels; (b) survey data on politicians' attitudes towards elections, participation, public opinion, several national and international policy issues, and their views of political representation. Between September 2020 and January 2021, 2134 elected politicians at the local (n = 1917), regional (n = 128), national (n = 75) and European (n = 14) levels were interviewed, making this one of the largest surveys of the Italian political elites ever conducted and a valuable resource for researchers interested in the study of democratic representation.
At Ollantaytambo, in the Cusco region of Peru, the Inka (c. AD 1400–1532) built an elaborate anthropogenic landscape to facilitate intensive agriculture. After the 1532 Spanish invasion of the region, this landscape was reshaped by the introduction of new plants and animals, colonial land-management practices and demographic transformations. Here, the author employs botanical data from a derelict Inka-era reservoir to evaluate the timing and character of colonial transformations to the local agroecology. These transformations, they argue, tended towards agricultural deintensification, but this process did not begin until decades after the Spanish invasion.
It is known that hyperbolic linear delay difference equations are shadowable on the half-line. In this article, we prove the converse and hence the equivalence between hyperbolicity and the positive shadowing property for the following two classes of linear delay difference equations: (a) for non-autonomous equations with finite delays and uniformly bounded compact coefficient operators in Banach spaces and (b) for Volterra difference equations with infinite delay in finite dimensional spaces.
Clozapine therapy presents a risk of agranulocytosis, necessitating monitoring of white blood cell count. The detection of benign ethnic neutropenia (BEN), in which neutropenia can be present without an increased risk of infection, is particularly important in preventing unnecessary withdrawal of clozapine. BEN is strongly linked to the CC homozygote of the single nucleotide polymorphism rs2814778 in the atypical chemokine receptor-1 (ACKR1) gene.
Aims
We introduced voluntary genetic testing for BEN in one of our clozapine clinics, with the aim of assessing the prevalence of undiagnosed BEN in patients on clozapine.
Method
We offered genetic testing for BEN to patients undergoing medium- and long-term clozapine treatment, and conducted a comparative analysis of neutrophil counts across three identified groups: those previously diagnosed with BEN, those with newly discovered BEN and those confirmed by genetic testing not to have BEN.
Results
We conducted genetic testing for BEN on 108 patients. Of these, 16 were already registered as having BEN and had the CC homozygote. A further 26 patients (24% of the cohort) who were previously not diagnosed with BEN by standard haematological monitoring were found to have the CC homozygote on genetic testing. Unadjusted mean neutrophil counts were lowest for those with previously diagnosed BEN (2.5 × 109/L, 95% CI 2.2–2.8; P < 0.001 v. other groups), but those with newly discovered BEN had mean counts that were significantly lower (4.1 × 109/L, 95% CI 3.6–4.7) than those with TT and CT genotypes (5.1 × 109/L, 95% CI 4.7–5.4; P = 0.006).
Conclusions
Undiagnosed BEN was common in our naturalistic cohort. The integration of genetic testing into standard monitoring would enhance the management of clozapine therapy, potentially allowing for the safe reintroduction or continuation of clozapine in patients with hitherto unrecognised BEN. All current and prospective clozapine patients should be genetically tested for BEN.
Viscous gravity currents play a fundamental role in many natural and industrial applications, where practical scenarios often involve the current propagating over rigid curvilinear surfaces. In this study, we employ lubrication theory to develop low-dimensional models for such two-dimensional and axisymmetric propagation, resulting from the release of a finite volume of viscous fluid. A key dimensionless parameter is identified, representing the volume ratio between the released fluid and the curvilinear surface, which governs the current evolution. By simplifying the curvilinear surface with linear–exponential and sinusoidal shapes, we observe distinct flow behaviours. Over linear–exponential surfaces, the current may become trapped, bypass the peak or flow downward, while over sinusoidal surfaces, the propagation is hindered compared with the behaviour over horizontal straight surfaces. The low-dimensional models are validated using the volume of fluid method in computational fluid dynamics, showing consistent predictions of the current evolution over rigid curvilinear surfaces.
This article examines the local context that led to the expulsion of Jews from Eastern Thrace in 1934. Going beyond the conventional state-centric narratives, it unearths the local socio-economic tensions that triggered the locals to target their Jewish neighbors. It highlights three major factors that fueled already-existing nationalist sentiments in the region: some Jewish merchants’ involvement in usury, Turkish–Muslim agricultural producers’ growing indebtedness due to the devastating impact of the Great Depression, and the government’s failure to support producers with appropriate credit policies. Faced with the danger of indebtedness and dispossession, the locals in this context deemed the small Jewish community as “the easy target,” scapegoating it for their ongoing problems amid Turkey’s nationalist political climate in the 1930s.
Hegel’s ‘Natural Law’ essay is widely discussed but its substance and the implications of its argument are misunderstood. Hegel’s essay is most often read via other philosophers. Interpretations of this kind are useful but only illuminate those parts of Hegel’s text that intersect with other philosophers’ concerns. This article takes a different approach by focusing on the entirety of the essay and exploring the implications of its two primary arguments: firstly, that there has been a breach between philosophy and natural law; secondly, that without philosophy natural law is thrown back on its own resources, producing two schools of post-philosophical thought—empiricism and formalism—neither of which is adequate to serve as its foundation. I argue that in response to this inadequacy Hegel sublates empiricism and formalism to develop undistorted intuition as a way of thinking designed to effect the re-philosophization of natural law.
An ultra-wideband current-reused low-noise amplifier (LNA) monolithic microwave integrated circuit design is presented in this letter. Negative feedback networks are employed at both stages of the proposed LNA to expand bandwidth. Furthermore, source adaptive bias networks is designed in the first stage and combined with a current-reused construction to acquire a compact chip size and maintain low power consumption. Then, the validation of design theory is implemented by employing a 0.15-µm gallium arsenide pseudomorphic high-electron-mobility transistor process. The measured results show that the proposed LNA achieves a small signal gain of 15.5–17.8 dB, a noise figure of 3–3.65 dB, and an output 1 dB compression point (OP1 dB) of 14.5–15.5 dBm from the target bandwidth of 2–18 GHz. In addition, the fabricated LNA consumes 220 mW from a 5 V supply and occupies a chip area of 1.2 × 1.5 mm2.