The rapid development of the digital economy has highlighted the crucial role of data in economic growth. This study investigates the impact of two types of innovation on long-term growth by incorporating data into a model of creative destruction and knowledge accumulation. Unlike traditional factors, data exhibit nonrivalry between the two research and development (R&D) sectors, thereby influencing the growth rate of economic outputs simultaneously without interference. Our findings reveal the existence of a balanced growth path (BGP) in both the decentralized economy and the social planner’s economy. In horizontal innovation, data can be transformed into digital knowledge to promote the economic growth [Cong et al. (2021)]. In addition to horizontal innovation, the utilization of data in vertical innovation also enhances the success rate of innovation, with a gradual decrease in per capita data usage on the BGP. Moreover, as agents accumulate human capital, the economy achieves higher output levels, effectively addressing consumer privacy concerns. However, along the transitional path, insufficient data provision by both R&D sectors leads to lower economic growth rates or more intense economic fluctuations, necessitating policy interventions.

This article takes the practice of twinning as an entry point for problematising conventional accounts of ‘international friendship’ in the field of International Relations. In particular, the paper zeroes in on three examples of twinning practice, past and present, that have challenged the status quo: twinnings established in opposition to the Contra war in Nicaragua; twinning as an act of recognition for communities in the Occupied Palestinian Territories; and twinning as a vehicle for the recovery and return of sacred artefacts to post-colonial Kenya. Through these examples, it argues for an alternative conceptualisation of international friendship – one that pushes beyond the methodological nationalism and ontological rigidity of dominant approaches.

Excavations at the vicarage yard (prästgården) at the famous Late Iron Age magnate centre of Gamla Uppsala, Sweden, have yielded six Viking Age (c. ad 750–1100) boat burials, several containing the remains of domestic dogs. The present study is an osteological examination of the remains of three of these dogs, one each from three boat graves, with a primary goal of morphological reconstruction and a secondary focus on identifying sex, age, and pathology. Two dogs were large, slender sight hounds, while the third was somewhat smaller and of indeterminate type. The preference for sight hounds in high-status graves is consistent with previous results from the contemporaneous nearby boat cemeteries of Vendel and Valsgärde, adding weight to the hypothesis of a shared funerary culture between these sites in the Late Iron Age.

Focusing on seventeenth-century Madrid, this article explores the interplay between urban public space and a specific type of written defamatory statements, the carteles de desafío or letters of challenge, with the aim of examining the implications of this interaction. Letters of challenge were primarily conceived as a communication tool between the participants in duels and challenges. Displayed in public spaces, they could take on new meanings and even replace the combat itself, while at the same time perpetuating the values of a male honour culture that encouraged the use of violence among large sectors of society to settle disputes.

Before 1848 not merely democrats and liberals criticized the post-Napoleonic order for their growing mistrust of its ability to protect the sovereignty of smaller countries and preserve the general peace. The predominantly conservative ruling elite, namely rulers, statesmen, and diplomats, raised the same criticism when the law-breaking and abuse of power made them similarly mistrustful of the state of European politics during the 1830s and 1840s. This became true even for some of the order's authors like Austrian chancellor Metternich who serves as a prominent example of this mistrust with his project of a league to preserve peace in Europe in August 1840. Metternich, who helped to create this order in 1815, found it defective and in need of improvement only a quarter of a century later. He certainly did not want to create a completely new international order and law of nations as some liberals and democrats desired at that time, but his idea was still, in a certain sense, revolutionary since its realization would have fundamentally modified the pillars on which the order had been founded at the end of the Napoleonic Wars.

A collection of graphs is nearly disjoint if every pair of them intersects in at most one vertex. We prove that if $G_1, \dots, G_m$ are nearly disjoint graphs of maximum degree at most $D$, then the following holds. For every fixed $C$, if each vertex $v \in \bigcup _{i=1}^m V(G_i)$ is contained in at most $C$ of the graphs $G_1, \dots, G_m$, then the (list) chromatic number of $\bigcup _{i=1}^m G_i$ is at most $D + o(D)$. This result confirms a special case of a conjecture of Vu and generalizes Kahn’s bound on the list chromatic index of linear uniform hypergraphs of bounded maximum degree. In fact, this result holds for the correspondence (or DP) chromatic number and thus implies a recent result of Molloy and Postle, and we derive this result from a more general list colouring result in the setting of ‘colour degrees’ that also implies a result of Reed and Sudakov.

In this paper, we investigate the constrained attitude control problem of hypersonic vehicles (HVs). An improved prescribed performance dynamic surface control method is proposed based on an adaptive scaling strategy. Because of the uncertain time-varying disturbances, the controlled state may violate the constraint in the prescribed performance control (PPC) framework. An adaptive scaling strategy is introduced in the PPC method to avoid state violation. The performance function is scaled with respect to the state adaptively. Moreover, a nonlinear disturbance observer is used to compensate the sum of external and other internal disturbances of the system. The proposed method improves the system dynamic performance while ensuring the system robustness. Furthermore, the stability of the closed-loop system is proved by Lyapunov analysis. Finally, numerical simulations are implemented to verify the effectiveness of the PPC method and superiority over other methods.

Clinostomidae is a diverse family of digenean parasitizing fish-eating birds as adults and fishes as metacercariae. The species composition, within the genus Clinostomum has been steadily increasing in recent years. In Argentina, four named species of Clinostomum have been documented, accompanied by four metacercariae representing distinct genetic lineages whose adults have not been identified. This study focused on examining clinostomids in three fish species – Australoheros scitulus (ASI), Cichlasoma dimerus (CDIM), and Pimelodella laticeps (PLA) – at various localities in Argentina. We conducted both morphological and molecular characterizations of the Clinostomum metacercariae collected from these fish species. Molecular phylogenetic analyses using COI mtDNA were performed to determine the placement of these metacercariae within the clinostomid phylogenetic tree. Clinostomum ASC represents a distinct lineage, morphologically distinguishable from other sequenced metacercariae due to its body shape (widest anteriorly and becoming slender towards the posterior end); this lineage was found to be closely related to C. caffarae. While Clinostomum CDIM and Clinostomum PLA exhibited morphological differences, they clustered together genetically with metacercariae reported in previous studies as Clinostomum L3 and Clinostomum CVI. This outcome, coupled with a low genetic distance (0 to 3%), suggests that they are conspecific with metacercariae found in fish across Mexico, Costa Rica, and Argentina. In light of the extensive diversity of fish species in Argentine freshwater ecosystems (over 500 species), and considering the relatively constrained extent of prior investigations, the anticipation of unearthing additional Clinostomum species or lineages is plausible.

To any k-dimensional subspace of $\mathbb {Q}^n$ one can naturally associate a point in the Grassmannian $\mathrm {Gr}_{n,k}(\mathbb {R})$ and two shapes of lattices of rank k and $n-k$, respectively. These lattices originate by intersecting the k-dimensional subspace and its orthogonal with the lattice $\mathbb {Z}^n$. Using unipotent dynamics, we prove simultaneous equidistribution of all of these objects under congruence conditions when $(k,n) \neq (2,4)$.

Dagaare is a language of northern Ghana and adjoining areas of Burkina Faso. There are two tones, H and L, and contrastive downstep H!H that involves a non-automatic pitch drop between two H tones. The challenge is to explain the extensive morphological conditioning of tonal processes, including dissimilation, downstep and spreading. Our solution involves level ordering: tones are introduced at different morphological levels (stems, words and phrases) and later processes can make earlier processes opaque. Tonal differences between nouns (spreading) versus verbs (no spreading) and stems (dissimilation) versus words (downstep) arise from constraint ranking differences within and across levels. There are two kinds of downsteps: stem-level downsteps are underlying L tones affiliated with some morpheme; word-level downsteps are L tones inserted by a general process of word-final lowering. Only one downstep per word is allowed. If more would arise, the morphologically inner downstep blocks the morphologically outer downstep.

Sheath rot is one of the most destructive emerging diseases of rice in Asia and a significant loss (20–85%) to rice production is caused by this disease under temperate agro-climatic conditions of Kashmir. Disease is more prevalent in higher belts of valley where Japonica rice cultivation is more common. Also, late-maturing varieties are more likely to be attacked by sheath rot disease of rice. Information regarding the occurrence and distribution of any pathogen and its variability in the field is very much essential to devise a suitable disease management programme against the particular pathogen. The isolates of Sarocladium oryzae tested in the present study exhibited considerable variation in cultural characteristics, morphology and pathogenicity. The resistant sources for sheath rot disease of rice were identified among the temperate germplasm of rice under a relatively high inoculum concentration and disease pressure of all the variable isolates of S. oryzae. Among 219 rice genotypes screened for resistance against S. oryzae under field conditions, 42 genotypes were further evaluated under controlled epiphytotic conditions against all the 18 isolates of S. oryzae. Four genotypes (SKUA-354, ORN-V4, GS-183, GS357) were finally selected with high resistance against sheath rot disease of rice which can be utilized as potential donors for the development of disease-resistant varieties of rice against sheath rot.

In this paper we present a three-stranded investigation of all ‘archaeological islands’ (including crannogs) across Scotland, with a particular focus on the Outer Hebrides. The first strand is a synthesis and critical review of the archaeological record relating to 582 ‘archaeological island’ sites. This research enabled us to characterise the nature of any previous work (including dating evidence) undertaken on each, and thus to establish the first ever open access, holistic, accurate dataset of these sites. The second strand is new underwater survey carried out at 30 archaeological islands across the southern Outer Hebrides. This enabled us to acquire further information about and dating evidence for these sites; notably, this included new evidence for Neolithic occupation on three, increasing the total of known Neolithic islets in the region to 11. The third strand involved a thorough re-assessment of a wide body of archaeological literature relating to early excavations and finds. This research identified potential Neolithic material culture on a further 15 archaeological islands across the rest of Scotland. We conclude by discussing the potentially very significant implications of this early material, considering the possibility that crannogs could have been constructed in the Neolithic beyond the Outer Hebrides.

An accurate and efficient sampling method is an important tool for insect pest management because it allows for consistent measurements across many samples. There are currently no proposed standardised sampling plans or spray thresholds for the aphid Ericaphis fimbriata Richards (Hemiptera: Aphididae) on highbush blueberry (Vaccinium corymbosum Linnaeus) in British Columbia, Canada, despite it being the primary vector for blueberry scorch virus (BlScV). A standard sampling plan for this pest would allow for rapid and consistent measurements of aphid abundance in commercial fields and would allow for more detailed study of the relationship between aphid abundance, damage, and the spread of BlScV. Binomial sampling plans use the presence:absence of a pest within a sample unit to estimate the proportion of infested sample units. Pest density (proportion of measured samples with individuals present) is linked to abundance (number of individuals), and the relationship between these two measures can be modelled mathematically. In the present study, we collected data on aphid density and aphid abundance in six varieties of highbush blueberry grown in the Fraser Valley, British Columbia. These data were used to construct a distribution-free binomial model that, when given a measure of aphid density, can predict aphid abundance within a given sample.

We investigate the equation $D=x^4-y^4$ in field extensions. As an application, for a prime number p, we find solutions to $p=x^4-y^4$ if $p\equiv 11$ (mod 16) and $p^3=x^4-y^4$ if $p\equiv 3$ (mod 16) in all cubic extensions of $\mathbb{Q}(i)$.