In this paper, we consider the weakly orthogonally invariant Finsler metrics, and we obtain their Douglas curvature. Furthermore, we derive the system of differential equations for weakly orthogonally invariant Finsler metrics with vanishing Douglas curvature. Many examples are included.
We introduce a rigorous analytic framework linking the discrete distribution of consecutive prime gaps to the zeros of the Riemann zeta function ζ(s). The core object is a multiplicative functional K_i(s), defined on each consecutive prime pair (p_i, p_{i+1}), which encodes the local asymmetry of prime gaps. We establish a closed algebraic form for K_i(s) and demonstrate a fundamental factorization identity. By explicitly inserting Euler factors, the infinite product P(s) = ∏_{i=1}^{∞} K_i(s) is shown to satisfy the exact relation P(s) = ( ∏_{i=1}^{∞} C_i(s) ) · ζ(s)^2, where the product ∏ C_i(s) converges to a non-zero meromorphic function on the critical strip 0 < Re(s) < 1. Consequently, we prove the unconditional equivalence: P(1/2 + iγ) = 0 ⇔ ζ(1/2 + iγ) = 0. Furthermore, we provide a universal angular parametrization of the non-trivial zeros, showing that the condition Re(ρ) = 1/2 is algebraically equivalent to the relation tan(α) − tan(β) = 1/2, which serves as a geometric signature of the critical line. While these results do not constitute a complete proof of the Riemann Hypothesis, they rigorously reduce the problem to a single, well-defined analytical step: demonstrating that ζ(ρ) = 0 ⇒ K_i(Re(ρ)) = 0. We delineate this remaining gap and outline concrete strategies for its resolution, thereby providing a verifiable and structurally sound pathway for future investigation.
Abstract With the objective of analyzing the development model in Peru that has yielded the best results: a closed economy with internal growth from 1992 to 2021 or an economic model of promotion and trade opening with external growth (pro-export) from 1992 to 2021. This study seeks to analyse the effects of investment, net exports and the fiscal deficit on the economic growth of Peru between 1992 and 2021. Since the objective is to compare and contrast theories, the deductive technique will be used. There is a 95% confidence interval around the conclusion that investment, net exports and the fiscal deficit positively affect the Banco Central de Reserva del Peru (BCRP) reference rate. Our hypothesis that exogenous variables affect the BCRP reference rate has been confirmed by the recent decline in poverty in Peru, which is a direct result of the country’s booming economy and its progressive social programmes. As a long-term factor in reducing household vulnerability, infrastructure development has played a crucial role in this process. It was determined how foreign direct investment, net exports and the fiscal deficit affected the growth of Peru’s GDP from 1992 to 2021.
The use of Cloud Computing has shown a significant presence in various areas of healthcare, thus improving clinical data analysis, resource management, and medical education. The primary aim of this research is to comprehensively analyze the current state of research on Cloud Computing and its impact on healthcare services. A systematic literature review (SLR) was conducted on the impact of Cloud Computing in healthcare services, encompassing a systematic review and bibliometric analysis from 2016 to 2023. The search strategy identified 9921 papers in digital libraries such as Scopus, Web of Science, ProQuest, ARDI, Science Direct, and IEEE Xplore. Subsequently, 81 papers were selected based on exclusion criteria using the PRISMA flow diagram. The results of the reviewed studies suggest that the use of Cloud Computing can enhance the efficiency and quality of healthcare services, reduce costs, and improve accessibility to medical care. However, concerns regarding the security and privacy of patient data in the cloud were also identified. Overall, the research suggests that Cloud Computing has the potential to have a significant impact on healthcare service delivery and is expected to be increasingly used in the future.
This study analyzes employees' perceptions of organizational climate, institutional culture, and staff development at a Peruvian public university. Based on an organizational assessment conducted with faculty and administrative staff (n = 47, from a population of 180 employees), dimensions related to internal communication, interpersonal relationships, recognition, institutional ethics, transparency, training, performance evaluation, and professional growth opportunities were evaluated using a 48-item Likert-scale questionnaire. The results reveal heterogeneous perceptions across dimensions, with relative strengths in institutional identification (M = 3.49) and weaknesses in recognition, feedback, work resources, and professional development (M = 3.27 and M = 3.28). The study concludes that strengthening internal management requires comprehensive interventions aimed at improving working conditions, consolidating a coherent institutional culture, and promoting staff development strategies.
