Search Results (9)

Pediatric oncology nursing is among the highest-intensity care specialties, exposing nurses to repeated child death and sustained emotional investment in family relationships. This occupational burden is a recognized psychosocial risk factor and a driver of compassion fatigue, burnout, and reported intention to leave, yet the organizational and educational determinants of this risk remain poorly captured by existing assessment approaches. This study investigated the lived experiences of nurses caring for terminally ill children in a pediatric onco-hematology unit and hospice ward in central Italy (N = 15), using a qualitative descriptive design, informed by a phenomenological sensibility to lived experience, supported by computer-assisted textual analysis. Structured face-to-face interviews were analyzed through thematic content analysis with stepwise replication, while quantitative textual analysis was performed using T-Lab software to map co-occurrence patterns among key lemmas, providing a frequency-based, semantically grounded picture of nurses’ representations of occupational risk. Seven themes emerged, including quality of nursing care, parental relationships, coping with a child’s death, and impact on personal and professional life. Findings showed that reported intention to leave was associated, in participants’ accounts, with absent psychological debriefing, cumulative emotional burden, inadequate end-of-life training, and a near-total absence of organizational vocabulary for peer-level support—a gap directly visible in the co-occurrence structure of nurses’ language. As a secondary aim, by combining qualitative depth with complementary lexical analysis of thematic patterns, this study also offers a methodological example of how psychosocial risk in high-intensity care settings can be assessed and translated into actionable indicators for organizational climate and workforce well-being. The findings inform concrete prevention strategies and policy recommendations for nursing education and occupational health, consistent with this Special Issue’s focus on methodological innovation for psychosocial risk assessment and public health policy design. Full article

In this paper, we establish a fundamental lemma based on symmetric quantum monotonicity within the framework of symmetric quantum calculus. Using this lemma, we derive the symmetric quantum Favard inequality and its Berwald-type extensions, together with generalizations to products of multiple functions and broader concavity classes. Numerical examples and comparative analyses demonstrate that the upper bounds obtained in the symmetric quantum framework are closer to the true integral values than those from the asymmetric quantum setting. This work establishes, for the first time, a complete theory of Favard–Berwald-type inequalities in symmetric quantum calculus, filling a gap in the literature and providing new analytical tools for quantum optimization and discrete integral estimation. Full article

This article investigates the lower bounds of analytic functions defined by absolutely convergent Dirichlet series in the left half-plane and establishes conditions under which such functions exhibit the pits property. The study extends classical results for entire Dirichlet series and lacunary power series by refining assumptions on the sequence of exponents and resolving gaps in earlier proofs found in the literature. Central to the analysis is the introduction of a modified function $k\left(\sigma \right)$, whose behavior determines the size of exceptional sets surrounding the zeros of the series. Under suitable growth conditions on the exponents, the authors prove that outside small disks centered at the zeros, the modulus of the Dirichlet series admits explicit lower bounds involving its maximum term. Several auxiliary lemmas provide sharp estimates for the maximum modulus, the distribution of zeros, and the behavior of truncated Dirichlet polynomials. The main theorem demonstrates that the pits property holds uniformly in vertical strips approaching the imaginary axis. The paper concludes with a discussion of how the imposed step-size condition on exponents might be weakened, formulating a conjecture regarding a more general condensation index. Full article

Generalized incommensurate fractional differential systems (GIFDSs) unify classical fractional frameworks via weight functions, capturing non-uniform multicomponent system dynamics. This paper fills a critical research gap by analyzing GIFDSs for both commensurate and incommensurate weight functions. For commensurate weights ($w_i\left(t\right)=w\left(t\right)$), classical IFDS equivalence is established via state transformation. Linear homogeneous mild solutions are derived using the incommensurate Mittag–Leffler function. Existence and uniqueness of nonlinear solutions are proved under continuity and Lipschitz assumptions. Hyers–Ulam stability is verified for linear non-homogeneous systems. For incommensurate weights (distinct $w_i\left(t\right))$, a novel framework is developed: by the integral bound lemma and Picard iteration, local existence (existence on $[a,t_1]$) is established, then it is extended to the full interval. The global uniqueness is obtained by Gronwall-type inequality via combined substitution. These results are applied to Hopfield Neural Networks, showing that one-layer HNNs with tanh or sigmoid activations admit unique mild solutions under GIFDS dynamics. Full article

Consensus control for discrete-time multi-agent systems is increasingly complex when facing unknown dynamics and time-varying communication delays. Although data-driven control has emerged as a powerful tool to bypass model reliance, few existing studies simultaneously address the challenges of delay compensation and limited communication bandwidth. To bridge this gap, this paper proposes a novel data-driven event-triggered predictive control framework. We leverage Willems’ fundamental lemma to construct a predictive model directly from historical data, eliminating the need for system identification. Furthermore, an integrated event-triggered mechanism with a dynamic threshold updates control signals only when necessary, effectively reducing transmission load. Theoretical analysis confirms the recursive feasibility and stability of the closed-loop system, while simulations demonstrate that the proposed method achieves robust consensus with significantly reduced event-triggering frequency. Full article

In this paper, we consider a class of nonsmooth weak vector variational-hemivariational inequality problems (abbreviated as, WVVHVIP) in the framework of Hadamard manifolds. By employing an analogous to the KKM lemma, we establish the existence of the solutions for WVVHVIP without utilizing any monotonicity assumptions. Moreover, a uniqueness result for the solutions of WVVHVIP is established by using generalized geodesic strong monotonicity assumptions. We formulate Auslender, regularized, and Moreau-Yosida regularized type gap functions for WVVHVIP to establish necessary and sufficient conditions for the existence of the solutions to WVVHVIP. In addition to this, by employing the Auslender, regularized, and Moreau-Yosida regularized type gap functions, we derive the global error bounds for the solution of WVVHVIP under the generalized geodesic strong monotonicity assumptions. Several non-trivial examples are furnished in the Hadamard manifold setting to illustrate the significance of the established results. To the best of our knowledge, this is the first time that the existence results, gap functions, and global error bounds for WVVHVIP have been investigated in the framework of Hadamard manifolds via Clarke subdifferentials. Full article

Background: The differing floret opening times between subsp. indica and subsp. japonica in rice limit the potential for increased hybrid seed production. Objectives: To elucidate the physiological basis underlying the differences in floret opening time between indica and japonica rice. Materials: A comparative analysis involved nine indica and ten japonica rice varieties. Methods: Using paraffin sectioning, transcriptome sequencing, RT-PCR, and endogenous substance quantification, we investigated the structural variations in floral organs, the differences in the initiation timing of floret opening regulatory pathways, and endogenous regulators. Results: The results indicated insignificant differences in lemma thickness, lodicule thickness, lodicule area, and the coupling-lodicule length between indica and japonica rice. However, japonica rice exhibited larger lodicule-lemma gaps and more vascular bundles compared to indica rice. Within the 9:00 a.m. to 10:00 a.m. interval, the expression of OsAOS1 in α-linolenic acid metabolism and OsISA3 in starch and sucrose metabolism notably increased in indica rice, with no significant change in japonica rice. Additionally, the endogenous JA and α-amylase surged more significantly in indica rice than in japonica rice. The increase in soluble carbohydrate in indica rice is greater than in japonica rice, but the difference is not significant. Conclusions: These findings suggest that in the process of the floret opening, the α-linolenic acid metabolism and starch and sucrose metabolism are initiated earlier in indica rice, accompanied by a more pronounced elevation in endogenous JA and α-amylase. Furthermore, the smaller lodicule-lemma gap in indica rice contributes to earlier floret opening compared to japonica rice. Full article

In this article, we introduce a notion of size for sets, called the thickness, that can be used to guarantee that two Cantor sets intersect (the Gap Lemma) and show a connection among thickness, Schmidt games and patterns. We work mostly in the real line, but we also introduce the topic in higher dimensions. Full article

In 2016, Steve Gull has outlined has outlined a proof of Bell’s theorem using Fourier theory. Gull’s philosophy is that Bell’s theorem (or perhaps a key lemma in its proof) can be seen as a no-go theorem for a project in distributed computing with classical, not quantum, computers. We present his argument, correcting misprints and filling gaps. In his argument, there were two completely separated computers in the network. We need three in order to fill all the gaps in his proof: a third computer supplies a stream of random numbers to the two computers representing the two measurement stations in Bell’s work. One could also imagine that computer replaced by a cloned, virtual computer, generating the same pseudo-random numbers within each of Alice and Bob’s computers. Either way, we need an assumption of the presence of shared i.i.d. randomness in the form of a synchronised sequence of realisations of i.i.d. hidden variables underlying the otherwise deterministic physics of the sequence of trials. Gull’s proof then just needs a third step: rewriting an expectation as the expectation of a conditional expectation given the hidden variables. Full article