We study the possible singularities of an m-subharmonic function $\varphi $ along a complex submanifold V of a compact Kähler manifold, finding a maximal rate of growth for $\varphi $ which depends only on m and k, the codimension of V. When $k < m$, we show that $\varphi $ has at worst log poles along V, and that the strength of these poles is moreover constant along V. This can be thought of as an analogue of Siu’s theorem.

Refugee children are often exposed to substantial trauma, placing them at increased risk for mental illness. However, this risk can be mitigated by a capacity for resilience, conferred from multiple ecological systems (e.g., family, community), including at an individual biological level. We examined the ability of hair cortisol concentrations and polygenic scores for mental health to predict risk and resilience in a sample of Syrian refugee children (n = 1359). Children were categorized as either at-risk or resilient depending on clinical thresholds for posttraumatic stress disorder, depression, and externalizing behavior problems. Logistic regression was used to examine main and interacting effects while controlling for covariates. Elevated hair cortisol concentrations were significantly associated with reduced resilience (odds ratio (OR)=0.58, 95%CI [0.40, 0.83]) while controlling for levels of war exposure. Polygenic scores for depression, self-harm, and neuroticism were not found to have any significant main effects. However, a significant interaction emerged between hair cortisol and polygenic scores for depression (OR=0.04, 95%CI [0.003 0.47]), suggesting that children predisposed to depression were more at risk for mental health problems when hair cortisol concentrations were high. Our results suggest that biomarkers (separately and in combination) might support early identification of refugee children at risk for mental health problems.

The tendency persists to separate the artful storyteller in Collins from the less successful thesis novelist. Like Wells and, to a lesser degree, Lawrence, Collins developed too strong a sense of mission. Beginning with Man and Wife, his novels seem encumbered with social protest. Collins's “old-fashioned” opinions, especially the remark that the “primary object of a work of fiction should be to tell a story,” are frequently quoted to reduce the skilful storyteller to a mere entertainer. Storytelling in The Woman in White is, of course, superb; but for once the novelist of sensation and suspense utilized his narrative skills to advance an idea important to himself and of consequence nationally: his conviction that the worship of propriety had become, by 1870, one of the besetting evils of Victorian life. In The Woman in White, Collins combines his talent for melodrama with just enough of the social critic, even if the Victorian eventually upstages the dissident moralist: the way things happen, the novelist argues, is ultimately determined not by propriety, man's law, but by providence, which may by God's.

Expletive subject clitics (ESCs) are pronominal elements that occur in impersonal contexts with which no individual reference is associated. Their presence strikingly distinguishes northern Italo-Romance varieties from standard Italian. We target this structural incongruence by studying the occurrence of ESCs in present-day Opitergino, a virtually unstudied Venetan variety. We explore the question of whether, in the wake of a profound transformation in the sociolinguistic environment that occurred between the first half of the 20th century and early 2020 years, the contact between Opitergino and now-dominant Italian has induced change in the Opitergino ESC system. To test whether change has occurred and to what extent, we compare the results of an extensive online survey we conducted in 2022 with the baseline rules we extracted from speakers born before 1942. We observe that while the system is overall stable, a thread of change is ongoing and manifests in (a) rule weakening in declaratives and (b) erosion of the obligatoriness of ESCs in interrogatives. We argue that this change is likely to be an effect of contact, resulting in structural convergence but not in loss, and affected the part of the ESC system that features more optionality, namely, the domain of declarative clauses.

The origin and original nature of medieval English palatinates has been a hardy theme of medieval English constitutional history at least since the seventeenth century. Earlier work on the topic by this author was essentially negative, dealing with what palatinates were not rather than with what they were; it is now time to offer the thoughts which follow. This article presents no conclusions based on evidence unexamined by other scholars, but looks at familiar material in new ways.

We proposed a compliant leg configuration that enhances the conventional pantograph design with leaf springs. The following facts characterize the proposed configuration: (1) Due to the use of the pantograph structure, the mass is centralized around the hip joint, reducing the lower leg inertia; (2) Leaf springs are chosen as elastic parts to increase energy efficiency and estimate foot-end contact forces. Compared with coil springs, leaf springs require no guide rails to deploy, and their stiffness can be easily adjusted through shape cutting. Analytical models are introduced to analyze the leg’s stiffness and estimate the contact forces only with the deflections of leaf springs. A one-leg robot based on the proposed design is built, and various experiments are conducted. Experiments regarding the stiffness calibration and the contact forces estimation showed an acceptable agreement with the analytical model. Experiments of dropping demonstrate the feasibility of the leg to perform spring-like behaviors. Experiments of periodic hopping demonstrate the feasibility of using spring deflections to detect touch-down events. For energy efficiency, it is also observed that the elastic leg has a 20% increment concerning the jumping height in the flight phase, compared with the one where leaf springs are replaced with rigid materials.

How subversively anticlerical was late medieval Catholic reform in England? Were Elisabeth Sampson or perhaps John Wyclif the reformer or malcontent at hand, one might expect scholars rapidly to identify reform with subversion. But if John Colet's name is dropped in the conversation, “reform” will generally take on a different meaning. Son of one of London's most popular mayors, Colet was a pluralist who progressed along the familiar and painstakingly protracted route to the doctorate of theology during the final decade of the fifteenth and the first of the sixteenth century. Along the way he struck up close and lasting friendships with Erasmus, Thomas More, and William Warham. To the last of these, he probably owed his appointment in 1504 as Dean of St. Paul's Cathedral in London where he served until his death in 1519.

Population was a socially significant yet politically precarious concept in nineteenth-century Britain. In order to highlight the affective implications of “population,” this essay examines Harriet Martineau's fiction in the context of early Victorian concerns over population growth and contemporary thoughts of political economy. As an avid supporter of Thomas Malthus, Martineau maintains that “proportionate labor” is the determining factor in national stability, but her use of sentimental fiction in Illustrations of Political Economy (1832–34) reveals aspects of the population crisis that are not accounted for by the classic political economists. Martineau's fiction presents population as a phenomenon collectively felt among Victorians rather than as an objective number that represents sociological truth. In her modification of the Malthusian principles to encompass affective negotiations that extend beyond individual morals, Martineau emphasizes the importance of somatic experience in shaping the nineteenth-century understanding of population. Furthermore, as Martineau's narrative resolution to the population crisis comes from well-managed emigration, her works demonstrate that geographical colonial expansion operated as an essential condition in establishing a nationally sustainable idea of population. Reassessing Martineau's literary and historical significance as an innovative successor of Malthus unveils a sophisticated Victorian nexus of population theory and the collective feelings of empire.

Hyper-redundant robots have good prospects for applications in confined space due to their high flexibility and slim body size. However, the super-redundant structure brings great challenges for its inverse kinematics with shape constraints. Unfortunately, traditional Jacobian pseudo-inverse-based inverse kinematics method and forward and backward reaching inverse kinematics (FABRIK) method are difficult to constrain the arm shape and realize trajectory tracking in confined spaces. To solve this problem, we propose a shape-controllable FABRIK method to satisfy the given path and shape constraints. Firstly, the kinematic model of the hyper-redundant robot is established, and the canonical FABRIK method is introduced. Based on the preliminary works, the single-layer improved FABRIK method is developed to solve the position and pointing inverse kinematics considering path environment and joint angle constraints instead of two-layer geometric iterations. For tracking the desired end roll angles, the polygonal virtual arm is designed. The real arm roll angle is achieved by controlling its winding on the virtual arm. In this way, the shape can be controlled. Finally, we compare the proposed method with other three approaches by simulations. Results show that the proposed method is more efficient and the arm shape is controllable.

Much has been written about the fall of Robert Harley in 1708, little about the fall of the Godolphin ministry in 1710. Yet a comparison of the two events casts a flood of light upon the nature of politics in the reign of Queen Anne. This is especially true if the historian asks the question: why did Robert Harley succeed in 1710 where he failed in 1708? For succeed he assuredly did in 1710 and fail he certainly did in 1708. On the first occasion he suffered loss of office and humiliation; two years later he drove Godolphin and the Whigs from office bag and baggage.

Accounts of human beings as vulnerable have provided powerful reposts to liberal individualism in recent decades. Concurrently, the European Court of Human Rights’ jurisprudence on Convention states’ positive obligations often obliges public authorities to address particular vulnerabilities. These developments reflect elements of different theoretical accounts of vulnerability but lack a coherent approach to the human subject. Exploring the impact of this in the UK Supreme Court’s jurisprudence, we evaluate two case studies in which positive obligations have been imposed on the police; (1) public order in the context of inter-community tensions in Northern Ireland (DB v. Chief Constable of Police Service of Northern Ireland) and (2) police investigations in regard to serial sexual offending (Commissioner of Police of the Metropolis v. DSD). This jurisprudence illustrates how some domestic judges are supplying their decisions with rationalisations which are lacking in the European Court’s case law.