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.
The diversity of marine fungi associated with macroalgae in Peru remains largely unknown, and no studies have provided holistic data on their biodiversity or their role as plant growth promoters in maize under salinity stress conditions. Endophytic and epiphytic fungi were isolated from the macroalgae Caulerpa sp., Ulva sp., Ahnfeltiopsis sp., and Chondracanthus chamissoi, collected from Yacila and Cangrejos beaches (Piura, Peru), while marine bacteria were provided by the Microbial Biotechnology Research Laboratory of the National University of Frontera. The growth-promoting properties of these marine microorganisms were evaluated prior to their inoculation in maize. Fungal isolates were phylogenetically characterized by ITS sequencing as Penicillium sp. YAFL13, Penicillium sp. YUFE7, Talaromyces stollii YAFL19, T. stollii YAFL4, T. amestolkiae YCFR3, Aspergillus sydowii CCDF2, A. sydowii YFep2, and A. sydowii YFep3. In total, 12 marine fungi were isolated and used in the assays along with 10 marine bacteria. Based on antimicrobial activity, IAA synthesis, siderophore production, phosphate solubilization, and hydrolytic enzyme production, three fungal strains (Penicillium sp. YAFL13, A. sydowii CCDF2, and A. sydowii YFep2) and two bacterial strains (Bacillus sp. YCFR5 and Pantoea agglomerans YAFL6) were selected. Among them, A. sydowii CCDF2 significantly enhanced maize growth parameters, highlighting its promising potential as a plant inoculant. This study represents one of the few reports on marine microorganisms associated with marine macroalgae, revealing a valuable fungal diversity and its potential role in promoting maize growth under saline stress conditions.
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.
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.
La papaya (Carica papaya L.) constituyó un cultivo tropical de importancia alimentaria e industrial cuya productividad estuvo limitada de forma persistente por el virus de la mancha anular de la papaya (PRSV). Esta revisión analizó cómo la domesticación, la diversidad genética, los recursos fitogenéticos, la biología reproductiva y la arquitectura genómica condicionaron el mejoramiento frente al PRSV, y evaluó la edición de factores de susceptibilidad como estrategia emergente. Se realizó una revisión narrativa crítica de artículos indexados en Scopus, Web of Science, PubMed y Google Scholar hasta septiembre de 2026. La evidencia mostró que la resistencia fuerte fue escasa en el acervo cultivado y que las especies de Vasconcellea aportaron variantes útiles, aunque su transferencia estuvo restringida por incompatibilidad, esterilidad y arrastre de ligamiento. La resistencia transgénica ha demostrado eficacia comercial, pero su desempeño depende del aislado y su adopción afronta barreras regulatorias y comerciales. Las plantas T0 editadas en eIF4E no presentaron acumulación detectable de PRSV en una prueba de concepto, mientras la edición de eIF(iso)4E no evitó la infección. Sin embargo, la evidencia se limitó a pocas líneas, un aislado y materiales quiméricos o heterocigotos. Se concluyó que la edición génica ofrece una ruta plausible si se integraba con pangenómica, caracterización de aislados locales, obtención de líneas heredables sin ADN foráneo cuando corresponda y evaluación fitopatológica y agronómica multisitio.
