Pavlov [Adv. Math. 295 (2016), 250–270; Nonlinearity 32 (2019), 2441–2466] studied the measures of maximal entropy for dynamical systems with weak versions of specification property and found the existence of intrinsic ergodicity would be influenced by the assumptions of the gap functions. Inspired by these, in this article, we study the dynamical systems with non-uniform specification property. We give some basic properties these systems have and give an assumption for the gap functions to ensure the systems have the following five properties: CO-measures are dense in invariant measures; for every non-empty compact connected subset of invariant measures, its saturated set is dense in the total space; ergodic measures are residual in invariant measures; ergodic measures are connected; and entropy-dense. In addition, we will give examples to show the assumption is optimal.

The collected essays in this “Vernacular Victoria” issue explore representations of Queen Victoria in Indian languages. They study how complex practices of loyalty to monarchical forms of authority enabled Indians to create and inhabit their diverse lifeworlds. They analyze how the uneven socialization of print and the complex cultures of literary production in colonial India shaped articulations of loyalty. “Vernacular Victoria” is about histories of Indian aspirations and negotiations, celebrations and disappointments. Victoria enables this special issue to contribute to a more global understanding of the field known as Victorian studies.

This article surveys works from Kerala related to Queen Victoria and situates M. R. Madhava Warrier's (1893–1952) biography, Victoria Maharani (1931), against the backdrop of early twentieth-century Travancore. It draws on threads related to the position of women on the Malabar coast, the actions of the maharani regent at the time, Sethu Lakshmi Bayi (r. 1924–31), and the political and social climate at the time of her reign. It also considers the relationship between the qualities of Queen Victoria praised in Victoria Maharani, reforms instituted by Sethu Lakshmi Bayi, and the reputation of both in Travancore.

In this paper, an $\textrm{H}_{{\infty }}$ dynamic output feedback controller is experimentally implemented for the position regulation of a fully actuated tilted-rotor octocopter unmanned aerial vehicle (UAV) to improve wind disturbance rejection during station-keeping. To apply the lateral forces, besides the standard tilt-to-translate (attitude-thrust) movement, tilted-rotor UAVs can generate vectored (horizontal) thrust. Vectored-thrust is high-bandwidth but saturation-constrained, while attitude-thrust generates larger forces with lower bandwidth. For the first time, this paper emphasizes the frequency-dependent allocation of weighting matrices in $\textrm{H}_{{\infty }}$ control design based on the physical capabilities of the fully actuated UAV (vectored-thrust and attitude-thrust). A dynamic model of the tilted-rotor octocopter, including aerodynamic effects and rotor dynamics, is presented to design the controller. The proposed $\textrm{H}_{{\infty }}$ controller solves the frequency-dependent actuator allocation problem by augmenting the dynamic model with weighting transfer functions. This novel frequency-dependent allocation utilizes the attitude-thrust for low-frequency disturbances and vectored-thrust for high-frequency disturbances, which exploits the maximum potential of the fully actuated UAV. Several wind tunnel experiments are conducted to validate the model and wind disturbance rejection performance, and the results are compared to the baseline PX4 Autopilot controller on both the tilted-rotor and a planar octocopter. The $\textrm{H}_{{\infty }}$controller is shown to reduce station-keeping error by up to 50% for an actuator usage 25% higher in free-flight tests.

The article explores media depictions of industrial labour in Italy, with a special focus on visual, film and television portrayals, spanning from the 1960s to the first two decades of the twenty-first century. Rather than delving into an analysis of labour processes, the primary objective of the article is to scrutinise the gendered representations of work and whether and how the representation of work, including all professions, has played a pivotal role in shaping narratives about Italian society and its inherent contradictions. In this context, the article also emphasises the significance of what remains unrepresented, highlighting the absence of work as equally consequential as its presence. Of particular importance within this exploration is the examination of women's work, a realm less frequently depicted than that of men. The article dedicates specific attention to unravelling the nuances of women's role in the workforce, recognising their portrayal as a key element in understanding broader narratives about Italian society and its complexities.

Sensed data from high-value engineering systems is being increasingly exploited to optimise their operation and maintenance. In aerospace, returning all measured data to a central repository is prohibitively expensive, often causing useful, high-value data to be discarded. The ability to detect, prioritise and return useful data on asset and in real-time is vital to move toward more sustainable maintenance activities.

We present a data-driven solution for on-line detection and prioritisation of anomalous data that is centrally processed and used to update individualised digital twins (DT) distributed onto remote machines. The DT is embodied as a convolutional neural network (CNN) optimised for real-time execution on a resource constrained gas turbine monitoring computer. The CNN generates a state prediction with uncertainty, which is used as a metric to select informative data for transfer to a remote fleet monitoring system. The received data is screened for faults before updating the weights on the CNN, which are synchronised between real and virtual asset.

Results show the successful detection of a known in-flight engine fault and the collection of data related to high novelty pre-cursor events that were previously unrecognised. We demonstrate that data related to novel operation are also identified for transfer to the fleet monitoring system, allowing model improvement by retraining. In addition to these industrial dataset results, reproducible examples are provided for a public domain NASA dataset.

The data prioritisation solution is capable of running in real-time on production-standard low-power embedded hardware and is deployed on the Rolls-Royce Pearl 15 engines.

In late nineteenth-century Telugu desa, “Victoria” was more than the name of the queen of Great Britain. It was, in Homi Bhabha's famous formulation, a “sign taken for wonder” the signification of which, however, remained ambivalent. As soon as she was proclaimed the empress of India, the queen's name acquired emblematic connotations that were exploited in both reform and counterreform discourses. Treating Queen Victoria not as a person but as a personification, the present essay reads some of the fetishized signs of the queen in the spatial, print, and literary cultures and notes how the colonial engines of modernity were appropriated, provincialized, and subverted in the domestic sphere.

In this article, we consider the presence of what appear to be true contradictions in the Talmud. We consider and reject a glut-theoretic response. We argue these apparently contradictory Talmudic passages should be understood not as ordinary propositions, but as being given under an operator. This allows us to understand these rulings as genuinely conflicting, but not genuinely contradictory. We illustrate the broad shape of such a view through consideration of Hans Kelsen's late-period philosophy of law. We also consider and reject responses to this issue given by Rashi, R. Kook, and R. Feinstein. We close by considering why a system of Jewish law which allows for jointly affirmed conflicting propositions is desirable. We claim that if, as Maimonides suggests, the fundamental project of Jewish law is the eradication of idolatry, then the law itself should remind us that God's ways are higher than our ways. One way of doing so is to resist capture by a transparent set of principles, by allowing for conflicting rulings to be affirmed. This article does not presuppose familiarity with the Talmudic corpus or Jewish tradition.

This paper describes how to compute algorithmically certain twisted signature invariants of a knot $K$ using twisted Blanchfield forms. An illustration of the algorithm is implemented on $(2,q)$-torus knots. Additionally, using satellite formulas for these invariants, we also show how to obstruct the sliceness of certain iterated torus knots.

We introduce and study Dirichlet-type spaces $\mathcal D(\mu _1, \mu _2)$ of the unit bidisc $\mathbb D^2,$ where $\mu _1, \mu _2$ are finite positive Borel measures on the unit circle. We show that the coordinate functions $z_1$ and $z_2$ are multipliers for $\mathcal D(\mu _1, \mu _2)$ and the complex polynomials are dense in $\mathcal D(\mu _1, \mu _2).$ Further, we obtain the division property and solve Gleason’s problem for $\mathcal D(\mu _1, \mu _2)$ over a bidisc centered at the origin. In particular, we show that the commuting pair $\mathscr M_z$ of the multiplication operators $\mathscr M_{z_1}, \mathscr M_{z_2}$ on $\mathcal D(\mu _1, \mu _2)$ defines a cyclic toral $2$-isometry and $\mathscr M^*_z$ belongs to the Cowen–Douglas class $\mathbf {B}_1(\mathbb D^2_r)$ for some $r>0.$ Moreover, we formulate a notion of wandering subspace for commuting tuples and use it to obtain a bidisc analog of Richter’s representation theorem for cyclic analytic $2$-isometries. In particular, we show that a cyclic analytic toral $2$-isometric pair T with cyclic vector $f_0$ is unitarily equivalent to $\mathscr M_z$ on $\mathcal D(\mu _1, \mu _2)$ for some $\mu _1,\mu _2$ if and only if $\ker T^*,$ spanned by $f_0,$ is a wandering subspace for $T.$

According to moderatism, perceptual justification requires that one independently takes for granted propositional hinges. This view faces the truth problem: to offer an account of truth for hinges that is not threatened by skepticism. Annalisa Coliva has tried to solve the truth problem by developing a new form of alethic pluralism. I argue that the resulting view cannot offer a coherent characterization of “skeptical switch scenarios” while providing an effective anti-skeptical strategy. In a more positive vein, I defend an approach that combines a correspondence conception of truth with epistemological disjunctivism.

This essay studies the formation of a political language of rajabhakti or monarchical loyalty in the Odia-language print sphere in the second half of the nineteenth century. This language revolved around the key terms of Providence, market rationalism, and character. The article traces the provincial careers of these crucial Victorian terms and explores their entanglement with local histories and discourses in the colony. It shows how the language of monarchical loyalty enabled provincial Victorians to construct and inhabit their everyday lifeworlds in the empire.