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This paper presents a wideband balanced reflectionless filter based on the half-wavelength ring resonator. The proposed structure is simple and easy for manufacture. The design procedures are elaborately introduced. To promote understanding, the analysis of differential-mode (DM) and common-mode (CM) equivalent circuits are given. The corresponding equations are derived. For validation, a design example is fabricated and tested. The measured results verify its ability of transmitting DM signals and eliminating undesired CM signals. Specifically, the 21.6-dB CM suppression bandwidth can reach up to 273%, while the CM absorption bandwidth can reach up to 195%. The proposed balanced reflectionless filter exhibits excellent DM matching level, CM suppression level, and wide reflectionless bandwidth.
Motivated by the study of multiplicative linear functionals in reproducing kernel Hilbert space (RKHS) with normalized complete Pick kernel, we define and study the multiplicative linear map between two RKHS. We identify the conditions under which such maps are continuous. Additionally, we prove that any unital cyclicity-preserving linear map is multiplicative. Conversely, we also characterize when a multiplicative linear map is unital cyclicity preserving. These results serve as a generalization of the Gleason–Kahane–Żelazko theorem to the setting of multiplicative maps between two RKHS. We present the composition operator as a natural class of examples of multiplicative linear maps on an RKHS. We also prove that every continuous multiplicative linear operator can be realized as a composition operator on various analytic Hilbert spaces over the unit disc $\mathbb {D}.$
Electrical contacts are critical components in all connector systems, as they enable the flow of electrical current. However, power contacts are increasingly subjected to various forms of degradation due to the high input power demands of modern electrical circuits. One of the primary causes of damage is the electrical arc, which can lead to erosion and oxidation of contact surfaces, ultimately resulting in electrical insulation failure. In industries such as aerospace, this type of failure can be mission-critical, especially in scenarios where in-orbit repair is not possible. Therefore, the design and choice of contact material must be carefully considered. Based on theoretical studies of arc-related phenomena, we conducted experimental tests focusing on the optimisation of hemispherical contact using samples made from various pure and coated materials. The contact surfaces in these tests were composed of high-conductivity base such as copper (Cu) and aluminum (Al), and were also coated with noble metals such as gold (Au) and silver (Ag). These materials are commonly used in sectors including aerospace, automotive and general industrial applications. To ensure a fair comparison, all contact samples were manipulated and tested under consistent conditions that reflect their real-world operational environments. The resulting arc parameters were identified and analysed through modeling to determine the most suitable contact design and material most capable of withstanding arc-related degradation over the mission duration, thus ensuring longer service life in applications were a continuous monitoring and repair are not feasible. The results show that repetitive exposure to high input power significantly damages contacts surfaces. Furthermore, the use of coated materials effectively extends the lifespan of the electrical contacts. Scanning electron microscope (SEM) and energy-dispersive X-ray spectroscopy (EDX) analyses support these findings, revealing that high-power input increases erosion rates and leaves pronounced marks on the contact surfaces.
Invariant maps are a useful tool for turbulence modelling, and the rapid growth of machine learning-based turbulence modelling research has led to renewed interest in them. They allow different turbulent states to be visualised in an interpretable manner and provide a mathematical framework to analyse or enforce realisability. Current invariant maps, however, are limited in machine learning models by the need for costly coordinate transformations and eigendecomposition at each point in the flow field. This paper introduces a new polar invariant map based on an angle that parametrises the relationship of the principal anisotropic stresses, and a scalar that describes the anisotropy magnitude relative to a maximum value. The polar invariant map reframes realisability in terms of a limiting anisotropy magnitude, allowing for new and simplified approaches to enforcing realisability that do not require coordinate transformations or explicit eigendecomposition. Potential applications to machine learning-based turbulence modelling include post-processing corrections for realisability, realisability-informed training, turbulence models with adaptive coefficients and general tensor basis models. The relationships to other invariant maps are illustrated through examples of plane channel flow and square duct flow. Sample calculations are provided for a comparison with a typical barycentric map-based method for enforcing realisability, showing an average 62 % reduction in calculation time using the equivalent polar formulation. The results provide a foundation for new approaches to enforcing realisability constraints in Reynolds-averaged turbulence modelling.
The first globalisation of the world occurred under the motivation of the Avis dynasty of Portugal, aimed at discovering new lands and wealth, exploring ocean routes, especially with the successful epic journey to India. The political decisions of the Avis dynasty kings, along with Christianity’s interest in expanding into Africa and Asia, were key factors in the success of these maritime explorations. However, the Coriolis force was a significant force of nature for the outcome of this journey. Here we investigate Caminha’s letter, the scribe of Pedro Álvares Cabral’s fleet when he found the lands of Brazil. This letter contains detailed scientific data, distances travelled, dates, geographical features, fauna and flora, initial anthropological information on indigenous peoples, and records of coastal depths. Analysis of these elements and facts lead to a new proposal for the location of Mount Pascoal and the so-called safe harbour, where Cabral’s fleet landed.
Non-native languages tend to be acquired through a combination of explicit and implicit learning, where implicit learning requires coordination of language information with referents in the environment. In this study, we examined how learners use both language input and environmental cues to acquire vocabulary and morphology in a novel language and how their language background influences this process. We trained 105 adults with native languages (L1s) varying in morphological richness (English, German, Mandarin) on an artificial language comprising nouns and verbs with morphological features (number, tense, and subject-verb [SV] agreement) appearing alongside referential visual scenes. Participants were able to learn both word stems and morphological features from cross-situational statistical correspondences between language and the environment, without any instruction. German-speakers learned SV agreement worse than other morphological features, which were acquired equally effectively by English or Mandarin speakers, indicating the subtle and varied influence of L1 morphological richness on implicit non-native language learning.
We study the interaction between a pair of particles suspended in a uniform oscillatory flow. The time-averaged behaviour of particles under these conditions, which arises from an interplay of inertial and viscous forces, is explored through a theoretical framework relying on small oscillation amplitude. We approximate the oscillatory flow in terms of dual multipole expansions, with which we compute time-averaged interaction forces using the Lorentz reciprocal theorem. We then develop analytic approximations for the force in the limit where Stokes layers surrounding the particles do not overlap. Finally, we show how the same formalism can be generalised to the situation where the particles are free to oscillate and drift in response to the applied flow. The results are shown to be in agreement with existing numerical data for forces and particle velocities. The theory thus provides an efficient means to quantify nonlinear particle interactions in oscillatory flows.
In the contemporary business-to-business (B2B) context, marked by technological, economic, and geopolitical turbulence, creating and maintaining Customer Engagement (CE) is both challenging and necessary for buyers and suppliers. However, while prior studies have already investigated how suppliers are adapting their practices to retain and attract customers, the buyers’ perspective is largely unexplored in existing literature. Therefore, drawing on the Paradox Theory as an interpretative lens, this research investigates the tensions that characterize CE through interviews with buyers from medium to large companies across various sectors. Results highlight that buyers are not merely passive recipients but active participants in the generation and management of tensions related to CE. At a managerial level, the study proposes an operational framework to support suppliers in adapting their engagement practices. Finally, the study suggests future research directions.
We are in the early stage of a revolution in the field of comparative genomics. Within the past five years, thousands of animal, plant, and fungal genomes have been sequenced and assembled to high quality. There is even serious discussion around sequencing the genomes of every eukaryotic species on earth. Here, I explain why this genomic revolution is happening and discuss the feasibility of sequencing genomes on a massive scale. Having a very wide diversity of genome sequences will accelerate applied research in biomedicine, biotechnology, aquaculture, agriculture, and conservation, and facilitate fundamental research in areas such as ecology, physiology, developmental biology, and evolutionary biology. In this article, I explore new findings and new questions in evolutionary biology emerging from animal genome analyses. Examples are drawn from marine animals such as polychaetes, bivalves, cephalopods, fish, and bryozoans, plus unusual terrestrial groups such as gerbils, moths, and bee-flies. I highlight patterns of mutation, the dynamics of gene families, and chromosomal organisation of genomes as areas ripe for further research. An even wider diversity of genome sequences will be needed to fill the knowledge gaps or investigate emerging puzzles, and a case is made for sequencing the genomes of over 100,000 species.
In 1679, the astronomer Giovanni Domenico Cassini published a large print detailing the entire visible surface of the moon with unprecedented meticulousness. This Grand Selenography is undoubtedly one of the most spectacular pictures ever produced within the Académie royale des sciences. However, it has remained widely neglected by historians up to now. This study offers the first account of the making and early reception of the print. It argues that the Grand Selenography remains uncompleted because it failed to satisfy Cassini and his contemporaries. Furthermore, its history allows us to shed new light on the range of issues that scientific pictures might have raised during Louis XIV’s reign.
Servitization is a key strategy for enhancing competitiveness in manufacturing, yet the managerial drivers behind this transformation remain underexplored. This study investigates the impact of top executives’ service cognition on servitization using a novel index derived from text-mined disclosures of Chinese listed manufacturing firms (2007–2020). Results show that executives’ service cognition significantly promotes servitization, even after controlling for endogeneity using instrumental variables and Heckman’s two-stage model. Mechanism analysis reveals that this cognitive orientation enhances human capital accumulation and R&D investment, which in turn drive higher service levels. Furthermore, the relationship is moderated by executive power concentration and regional internet penetration. Heterogeneity tests indicate stronger effects in high-tech industries, state-owned enterprises, and large firms. These findings highlight the critical role of executive cognition in shaping strategic transformation and offer practical implications for firms and policymakers aiming to foster servitization through leadership development and supportive digital infrastructure.
Employers purchase health benefits for more than 60% of the nonelderly population, making employers both important custodians of employee well-being and important actors in the health care ecosystem. Because employers typically have unilateral control over health and retirement benefits, the federal Employee Retirement Income Security Act (ERISA), enacted in 1974, imposes fiduciary obligations on employers when they manage or administer benefits. We provide evidence, from a novel survey of respondents who administer or oversee health benefits for their companies, that many employers appear to neglect even the most basic of their fiduciary obligations to their employees. This neglect may help explain the poor performance of employer plans in controlling costs and providing access to health care, and it suggests that many employers may be vulnerable to liability from ERISA lawsuits.
This article investigates sample selection bias in early-stage investment. We use comprehensive administrative data on the universe of new firm starts in Norway, allowing us to compare venture-backed firms with ex ante similar firms that do not receive venture funding. The valuation premium for venture backing is sizeable at firm birth and doubles over the first 5 years, implying a substantial upward bias in venture capital (VC) returns relative to comparable firms. In contrast, the premium for firms receiving multiple rounds of outside equity emerges only after the first year and remains significantly smaller than the VC premium throughout the firm life cycle.
The dynamics of thin viscous liquid films flowing down an inclined wall under gravity in the presence of an upward flowing high-speed air stream is considered. The air stream induces nonlinear waves on the interface and asymptotic solutions are developed to derive a non-local evolution equation forced by the air pressure which is obtained analytically, and incorporating a constant tangential stress. Benney equations in the capillary (strong surface tension) and inertio-capillary regimes are derived and studied. The air stream produces Turing-type short wave instabilities in sub-critical Reynolds number regimes that would be stable in the absence of the outer flow. Extensive numerical experiments are carried out to elucidate the rich dynamics in the above-mentioned short-wave regime. The stability of different branches of solutions of non-uniform steady states is carried out, along with time-dependent nonlinear computations that are used to track the large-time behaviour of attractors. A fairly complete picture of different solution types are categorised in parameter space. The effect of the Reynolds number on the wave characteristics in the inertio-capillary regime is also investigated. It is observed that, for each value of the slenderness parameter $\delta$, there exists a critical Reynolds number $R_c$ above which the solutions become unbounded by encountering finite-time singularities. Increasing the air speed significantly decreases $R_c$, making the system more prone to large amplitude singular events even at low Reynolds numbers when the system would have been stable in the absence of the air stream.
The current study examined how early smartphone ownership impacts parent-child informant discrepancy of youth internalizing problems during the transition to adolescence. We used four waves of longitudinal data (Years 1–4) from the Adolescent Brain Cognitive Development (ABCD; Baseline N = 11,878; White = 52.0%, Hispanic = 20.3%, Black = 15.0%, Asian = 2.1%, Other = 10.5%; Female = 47.8%). Across the full sample, significant parent-child informant discrepancy, such that parents underestimated child reports, appeared at Year 2 (Mage = 12.0) and increased across the remainder of the study (b = −0.21, SE = .042, p < .001, 95%CI [−.29, −.23]). Further, multi-group models indicated that significant parent-child informant discrepancy emerged in the years following initial smartphone acquisition, whereas youth who remained non smartphone owners did not demonstrate such a pattern. Moreover, this discrepancy grew with additional years of smartphone ownership. This study contributes to the ongoing discourse on adolescent smartphone use and mental health by documenting a novel, longitudinally observed risk to timely parental detection of mental health problems by early smartphone ownership.
An analytical theory is presented for linear, local, short-wavelength instabilities in swirling flows, in which axial shear, differential rotation, radial thermal stratification, viscosity and thermal diffusivity are all taken into account. A geometrical optics approach is applied to the Navier–Stokes equations, coupled with the energy equation, leading to a set of amplitude transport equations. From these, a dispersion relation is derived, capturing two distinct types of instability: a stationary centrifugal instability and an oscillatory, visco-diffusive McIntyre instability. Instability regions corresponding to different axial or azimuthal wavenumbers are found to possess envelopes in the plane of physical parameters, which are explicitly determined using the discriminants of polynomials. As these envelopes are shown to bound the union of instability regions associated with particular wavenumbers, it is concluded that the envelopes correspond to curves of critical values of physical parameters, thereby providing compact, closed-form criteria for the onset of instability. The derived analytical criteria are validated for swirling flows modelled by a cylindrical, differentially rotating annulus with axial flow induced by either a sliding inner cylinder, an axial pressure gradient or a radial temperature gradient combined with vertical gravity. These criteria unify and extend, to viscous and thermodiffusive differentially heated swirling flows, the Rayleigh criterion for centrifugally driven instabilities, the Ludwieg–Eckhoff–Leibovich–Stewartson criterion for isothermal swirling flows and the Goldreich–Schubert–Fricke criterion for non-isothermal azimuthal flows. Additionally, they predict oscillatory modes in swirling, differentially heated, visco-diffusive flows, thereby generalising the McIntyre instability criterion to these systems.