Introduces and developed a novel computational approach for efficiently calculating the navigation of infinite multi-dimensional spaces using a improved algorithm named Bellande Step function within a infinite multi-dimensional model-integrated framework. By optimizing and advancing the step function, the method addresses challenges in infinite-dimensional random point generation and nearest node calculation in in an existing tree while moving from the nearest node towards a random point by a step size collision free, allowing movement towards target nodes within defined distance constraints to be added as node to the tree. Leveraging this type of approach, efficiently compute the next step towards a target node for infinite-dimensions, ensuring accurate movement while reducing collisions with adhering to specified distance limits set by the user. The integration of infinite dimensional space modeling enhances the process of the step function while increasing the capabilities, accuracy, adaptability, effectiveness and computational efficiency. The results underscore the robustness and scalability of this approach, showcasing its potential applications in robotics and other fields related to robotics, and complex systems modeling. This integration of the Bellande Step function with model-integrated infinite dimensional space represents a significant advancement in the computational efficiency, precision, accuracy of Infinite multi-dimensional node calculations.

In this article, fundamental aspects of geology and soil science will be studied through the development of a practical workshop aimed at applying the knowledge acquired in the course. This exercise seeks to have students consult, analyze, and integrate information from various reliable sources, thereby strengthening their research skills and understanding of the geological and edaphological environment of the Colombian territory. The content of the work is structured into five sections. First, the main rock dating methods will be addressed, which are essential for establishing the relative and absolute age of geological formations. Second, a mind map of the Geoportal of the Colombian Geological Service (SGC) will be presented, summarizing the key information offered by this institutional platform. Subsequently, the characteristics and distribution of two important soil types in Colombia—Andisols and Inceptisols—will be described, detailing their physical and chemical properties, as well as the regions of the country where they are predominantly found. Finally, a conceptual scheme based on the CORINE Land Cover methodology adapted for Colombia will be developed, showing the relationships among different land cover types present in the national territory. This academic exercise aims to reinforce critical analysis, the use of cartographic tools, and an integral understanding of the physical environment, which is essential for training in disciplines such as geology, civil engineering, and territorial planning.

Hemos desarrollado un enfoque combinatorio fundamentado en el Triángulo de Pascal para abordar el problema clásico de las sumas de potencias de números naturales. Este método se basa en tres secuencias clave derivadas del triángulo: los coeficientes binomiales, los números de Narayana y una variante de los coeficientes binomiales. A través de estas secuencias, hemos formulado tres estrategias sistemáticas: el Método Directo (M.D), el Método de Coeficientes (M.C) y el Análisis de Coeficientes (A.C), las cuales potencian tanto la aritmética como el reconocimiento de patrones numéricos, alcanzando resultados equivalentes a los obtenidos mediante enfoques puramente algebraicos, como las sumas telescópicas.

Hemos desarrollado un enfoque combinatorio fundamentado en el Triángulo de Pascal para abordar el problema clásico de las sumas de potencias de números naturales. Este método se basa en tres secuencias clave derivadas del triángulo: los coeficientes binomiales, los números de Narayana y una variante de los coeficientes binomiales. A través de estas secuencias, hemos formulado tres estrategias sistemáticas: el Método Directo (M.D), el Método de Coeficientes (M.C) y el Análisis de Coeficientes (A.C), las cuales potencian tanto la aritmética como el reconocimiento de patrones numéricos, alcanzando resultados equivalentes a los obtenidos mediante enfoques puramente algebraicos, como las sumas telescópicas.

Este documen tiene la finalidad de demostar lo investigado a relación en la seguridad al manejar

ABSTRACT: INTRODUCTION: Communicating bad news is challenging in everyday clinical practice; the incorporation of artificial intelligence (AI) offers opportunities for ethical and effective optimization but raises ethical concerns about preserving empathy and humanization in the physician–patient relationship.METHODS: A scoping review was conducted according to PRISMA-ScR (2018–2024) in the PubMed/MEDLINE, SciELO, and BVS databases, with no language restrictions. Four search strategies retrieved fifteen unique records; eleven studies were selected after dual independent screening of titles, abstracts, and full texts. RESULTS: The narrative analysis identified five main strands: Symptom checkers that enhance autonomy in initial triage but lead to unnecessary referrals. Large language models used in radiology reporting and patient messaging, which speed up report drafting but function as “black boxes,” requiring human review to maintain an empathetic tone. Scientific writing tools that improve manuscript fluency without replacing subject-matter experts. Hybrid protocols (SPIKES AI) that show promise but have been little tested in real-world settings. Ethical challenges such as embedded biases, model “hallucinations,” and lack of transparency. CONCLUSION: AI can alleviate the technical workload of delivering bad news but cannot replace empathetic human interaction. We recommend developing conducting randomized trials to assess impacts on empathy, satisfaction, and patient outcomes in both the short and long term.

The toll gate system of Salik was launched by RTA (Roads and Transport Authority) in Dubai, it is the main key component in addressing the traffic congestion, improving mobility, and fund infrastructure projects within the city. This operation research paper will be evaluating the effectiveness of Salik system’s in achieving these goals and look at its broader economic, social and environmental impacts by using secondary data collection. The entity was able to significantly reduce congestion on one of the major highways, such as the Sheikh Zayed Road by effectively utilizing electronic toll collection (ETC) technology. This system generated a massive revenue which contributed to the development of the city. However, it also presented challenges and concerns towards its social equity, as citizens with lower income who are forced to pass through Salik toll gates are the ones who are affected significantly. This paper will also examine the environmental effects of the company, focusing on both its positive contribution in emission reduction and the increase in environmental footprint due to its involvement in Dubai infrastructure. Moreover, further exploration will be looked at in Salik system’s technology, reviewing its operational efficiency and the possibility to integrate it to future innovations such as smart city technologies and dynamic toll pricing. This study will be concluded with key recommendations for the company system improvements, which focuses on sustainability and technology advancement. This ensures the continuous improvement to Dubai’s long term transportational goals and become one of the leading role models for future tolling systems.

En el presente artículo-taller se va a trabajar el análisis y aplicación de conceptos relevantes de la geología, orientados a la identificación, clasificación y comprensión de procesos geológicos. Para ello, se requiere consultar diversas fuentes confiables, analizar la información obtenida y responder un conjunto de preguntas relacionadas con las facies metamórficas y sedimentarias, así como con el perfil de meteorización propuesto por Deere & Patton (1971). Además, se propone la elaboración de un mapa mental sobre el origen y características principales de las rocas ígneas, metamórficas y sedimentarias, y un mapa conceptual basado en la lectura "Anatomía Geológica de Colombia" de Orlando Navas Camacho. Este ejercicio busca consolidar el conocimiento teóricopráctico mediante estrategias de síntesis, organización visual y análisis geológico. Palabras clave: Geología, Procesos geológicos, Facies metamórficas, Facies sedimentarias, Meteorización, Perfil de meteorización, Rocas ígneas, Rocas metamórficas, Rocas sedimentarias, Mapa mental, Mapa conceptual, Anatomía geológica, Colombia, Clasificación de rocas.

Biological Wastewater Treatment Marke

Resumen Introducción: La vejez es una etapa caracterizada por diversos retos adaptativos, derivados de cambios graduales en la salud física y mental, así como de dificultades para realizar actividades de la vida diaria y participar socialmente. No obstante, existen adultos mayores que logran enfrentar satisfactoriamente estos desafíos y fortalecerse a partir de ellos. Objetivo: Identificar y analizar las características resilientes de adultos mayores asistentes a una casa de día en el municipio de Toluca, Estado de México. Metodología: Estudio cualitativo, de enfoque fenomenológico, descriptivo, analítico y transversal. La población estuvo conformada por adultos mayores que asisten a una casa de día, seleccionados mediante muestreo no probabilístico por conveniencia. Se incluyeron siete mujeres mayores que cumplían con los criterios de selección. Resultados: Se identificaron diversos factores que influyen en la resiliencia de los adultos mayores, entre ellos: la autonomía (capacidad para tomar decisiones y actuar de forma independiente), la autoestima (imagen positiva de sí mismos a pesar del envejecimiento), la esperanza y la creencia en un futuro favorable, la conexión social (relaciones sólidas con familiares y amigos), y la espiritualidad (sentido de propósito y conexión con algo trascendente). Conclusiones: La resiliencia en adultos mayores requiere un enfoque metodológico mixto que permita una comprensión más profunda y detallada de sus características y niveles. Es fundamental desarrollar y unificar criterios teóricos y conceptuales sobre la resiliencia, adaptándolos a las distintas etapas del desarrollo.