Resumen: El método de disparo es una técnica iterativa que usa velocidad de disparo para obtener una solución óptima. El propósito de la investigación es verificar la eficacia de las iteraciones de Newton de orden 3 adaptadas y acopladas a RK4, en el método disparo. Se realizó un experimento numérico con ejemplos mediante el método de disparo en las ecuaciones diferenciales ordinarias no lineal de orden 2, y se obtuvo velocidades de disparo y errores en cada iteración. Los resultados obtenidos sobre velocidades finales fueron satisfactorios con las iteraciones NW, NWO3-1, NWO3-2 y NWO3-3 aplicadas al método de disparo y de los cuales, NWO3-2 y NWO3-3 tienen alta precisión en los experimentos realizados.

Abstract: The shooting method is an iterative technique that uses shooting speed to obtain an optimal solution. The purpose of the research is to verify the effectiveness of Newton iterations of order 3 adapted and coupled to RK4, in the shooting method. Numerical experiments were performed with examples using the shooting method in nonlinear ordinary differential equations of order 2, and shooting velocities and errors were obtained in each iteration. The results obtained on final velocities were satisfactory with the iterations NW, NWO3-1, NWO3-2 and NWO3-3 applied to the shooting method and of which, NWO3-2 and NWO3-3 have high accuracy in the experiments performed.

Abstract This paper introduces the Julia programming language as a dynamic, cost-effective, and efficient framework for implementing structural analysis packages. To achieve this, the finite element method was implemented for plane frames addressing the elastic instability problem through the Finite Element Method (FEM). Julia is a language open source, multiplatform, high-level and high-performance for technical and scientific computing, its compiler allows you to achieve speeds comparable to languages such as C and FORTRAN, but with more productive development dynamics due to its programming flexibility. Benchmarks between Julia and MATLAB are employed to discuss the processing costs, the programming techniques and paradigms used for computational performance. The results demonstrate that Julia performed the same analysis as the language used for comparison in 88.40% of the time, in addition to the fact that in loops comparisons case it reached 41.7% of the time for iteration, confirming its significant potential as a development tool of computational packages for structural analysis and scientific computing in general. dynamic costeffective, costeffective cost effective, effective cost-effective this FEM. FEM . (FEM) source multiplatform highlevel high level highperformance performance FORTRAN flexibility costs 8840 88 40 88.40 417 41 7 41.7 iteration general (FEM 884 8 4 88.4 41. 88.

The study focused on the implementation of supplementary instruction as a suitable and effective pedagogical intervention for assisting at-risk students enrolled in an Advanced Research Methodology core course in one of the South African higher education institutions (HEIs). Supplementary instruction (SI) has been purported to be an effective technique for assisting at-risk students undertaking high-risk core modules. The educational challenge of at-risk students in higher education has been worsened by the emergence of the COVID-19 pandemic where high-risk core modules implementing e-learning posed serious challenges for at-risk students thereby negatively affecting pass rates and throughput. The design-based research (DBR) approach was used to guide the design of the intervention and research its effectiveness. The article reports on the design principles that yielded these results. After one cycle of DBR, it was established that SI had a positive impact on the pass rates of this particular course. The article argues that the use of the proposed designed principles in SI interventions has the potential to increase higher mean grades, lower failure and withdrawal rates, and higher retention rates of students. However, this study recommends that further iterations must be undertaken to refine design principles for an SI programme of this nature. The pedagogical significance of the current study in the prevailing circumstances and post COVID-19 pandemic is implementing a robust SI intervention in all core modules at the University of Technology.

Resumen Objetivo: Determinar la existencia del Ciclo Político Económico (CPE) en México para el periodo 1980-2021 mediante un método matemático de la física, el cual no ha sido utilizado en el campo de la economía política. Metodología: Se estudian las variables de crecimiento económico e inflación en México a través de la teoría del CPE empleando un análisis con series de Fourier, lo cual permite aproximar el comportamiento de una función cíclica. Resultados: Se ha comprobado la presencia del CPE en las últimas cuatro décadas en México, donde ha existido una diferencia considerable en los datos del último año de gobierno respecto a la aproximación realizada mediante series de Fourier. Limitaciones: Si bien, existen otros métodos que incorporan el componente aleatorio de una serie temporal dentro de la estimación, el análisis con series de Fourier puede ser considerado como determinista. Sin embargo, esto se ha convertido en un elemento explicativo dentro de la aplicación de series de Fourier en el campo de la economía. Originalidad: Es la primera vez que se realiza una aproximación del CPE con series de Fourier en México, ya que la metodología tradicional para estimar el CPE consiste en modelos autorregresivos con variables dicotómicas electorales. Por esta razón el presente ensayo puede considerarse como un estudio dentro de la econofísica. Conclusiones: Se concluye que, la aproximación del crecimiento económico y la inflación bajo la teoría del CPE llevada a cabo con series de Fourier de una iteración, permite identificar una tendencia determinista y un componente estocástico, con lo cual no solo se confirma la existencia del CPE, sino se determina la intensificación del mismo en el último año de gobierno.

Abstract Objective: Determine the existence of the Political Business Cycle (PBC) in Mexico for the 1980-2021 period through a mathematical method of physics, which has not been used in the field of political economy. Methodology: Economic growth and inflation in Mexico are studied through the PBC theory using a Fourier series analysis, which allows us to study the behavior of a cyclical function. Results: The presence of the PBC has been confirmed during the last four decades in Mexico, where a considerable difference was found in the data of the last year of government as compared to the approximation made by Fourier series. Limitations: Although there are other methods that incorporate the random component of a time series within the estimation, the Fourier series analysis is deterministic. However, this has become an explanatory element within the application of Fourier series in the field of economics. Originality: It is the first time that an approximation of the PBC through Fourier series has been carried out in Mexico, since the traditional methodology to estimate the PBC consists of autoregressive models with electoral dummy variables. Therefore, this paper might be considered as a pioneering econophysics study. Conclusion: It is concluded that the approximation of economic growth and inflation under the PBC theory carried out with Fourier series of one iteration, allows to identify a deterministic trend and a stochastic component, which not only confirms the existence of the PBC, but also leads to determine its intensification during the last year of government.

In the context of reflecting on the upcoming 100-year celebration of Afrikaans as an official language in 2025, linguistic experts have been engaged in reassessments of any claim to a comprehensive description of Afrikaans's legacy. The hypothetical scenario of Afrikaans ceasing to exist prompts questions about the inheritance and heritage of this language and the evaluations of linguistic experts ' contributions across almost a century. The discussion delves into the concepts of "erfenis" (inheritance), "nalatenskap" (legacy), and "boedel" (estate) and how these terms may or may not be applicable to institutions, individuals, and, as in this case, also languages. In the case of a language like Afrikaans, its inheritance is a culmination of various factors, including history, culture, religion, legal context, economy, education, linguistics, anthropology, and politics. Perceptions about this inheritance had formed over time and were passed down from one generation to another. Afrikaans, as a language, has a complex heritage associated with both tangible and intangible aspects. On the one hand, there are identifiable events and milestones that contributed to its development, while on the other, there are perceptions, feelings, and judgements about the language based on experiences with the Afrikaans-speaking community. Unfortunately, negative judgements often overshadow the positive aspects due to historical associations with the white population and the heritage of apartheid. The present article highlights the importance of inclusivity in representing Afrikaans's history, as previous documentation has disproportionately focused on the contributions of white speakers, neglecting a significant part of its heritage. It emphasises the need to establish a more inclusive version of the history of Afrikaans. Considering the multifaceted nature of Afrikaans's heritage, it is associated with both concrete events (actions which happened) and abstract (what people think about these actions and events) perceptions. The past has bequeathed this legacy to future generations, and the present generation must deal with it. However, the current generation has the power to shape perceptions and attitudes by means of their actions, thereby fostering a more positive outlook of the language. The analogy of inheritance as a "human creation" passed down through generations is used to illustrate that the image of Afrikaans, like any heritage, can be adapted and improved over time. There isn't any particular sole Afrikaans heritage; on the contrary. it may be characterised as a dynamic entity which is constantly being realised in the South African community through its daily use and contributions. The article concludes by highlighting the fact that in the event of Afrikaans ceasing to exist altogether (not that that would easily happen), its legacy would still be evident in the collective memory of that which the language had come to symbolise for many people over an extended period of time. Parts of this legacy have been documented over the years, highlighting the manner in which the development of Afrikaans, including the contribution of its speakers in this regard, had shaped the perceptions people (even from other linguistic communities) had come to entertain about the language. It is to be hoped that said heritage will continue to evolve positively, just like a farm passed down through generations, with each new iteration striving to be a more reliable custodian than the previous one.

RESUMEN: Antecedentes: Es imperante explorar las formas en que los estudiantes se preparan para conocer la COVID-19, puesto que de dicho conocimiento depende el éxito de sus acciones. Objetivo:Explorar los conocimientos, actitudes y medios de información que emplean los médicos residentes sobre la pandemia de COVID-19. Método:Estudio con diseño fenomenológico en el que participaron residentes adscritos a tres sedes, aplicándose entrevistas a profundidad en el periodo de junio a diciembre de 2020. El análisis de la información se efectuó mediante iteración y recursividad de discurso. Se empleó como método de validación la triangulación de datos e investigadores. Resultados:Se entrevistaron 36 residentes, identificando conocimiento adecuado del agente causal, mecanismo de transmisión y medios de diagnóstico, aunque insuficiente. De las actitudes, se manifiesta preocupación por sentimiento de vulnerabilidad debido a la condición de residentes. Los medios de información utilizados para la actualización profesional fueron los artículos científicos, mientras que las conferencias y las páginas oficiales son los medios preferidos para estar informados sobre el comportamiento social y epidemiológico. Conclusiones:Los residentes tienen conocimientos de la detección, la identificación, el diagnóstico y el tratamiento de la COVID-19, aunque insuficientes. Las fuentes de información son los artículos científicos de publicación periódica.

ABSTRACT: Background: It is imperative to explore how students prepare to learn about the COVID-19 disease since the success of their actions depends on such knowledge. Objective: To explore the knowledge, attitudes, and means of information residents used about the COVID-19 pandemic. Method: Study with a phenomenological design in which residents assigned to three centers participated, applying in-depth interviews from June to December 2020. The information analysis was carried out through iteration and recursion of discourse. Triangulation of data and researchers were used as validation methods. Results: 36 residents were interviewed, identifying adequate knowledge of the causative agent, transmission mechanism, and means of diagnosis, although insufficient. Regarding attitudes, concern is expressed about the feeling of vulnerability given by the residentsÍ condition. The information media used for professional updating were scientific articles, while conferences and official pages were the preferred means to learn about social and epidemiological behavior. Conclusions: Residents have knowledge consistent with the detection, identification, diagnosis, and treatment of COVID-19, although insufficient. The sources of information are periodical scientific articles.

Abstract We apply a coctel of elementary methods to the problem of finding the roots of an arbitrary polynomial. Specifically, we combine properties of the iteration z → z2 + c with rudimentary Galois theory in order to justify an algorithm to find the roots of a complex polynomial.

ABSTRACT This work considers the strategic Supply Chain Network Design (SCND) problem, which is to define the number and location of facilities, and the flow of products among them to fulfilling a long-term deterministic demand. A two-phase heuristic approach was specially developed to solve large scale problems in reasonable time, extending a previous algorithm introduced in Farias et al. (2017). In the construction phase, a multi-start approach was developed to generate diversified initial solutions from each new iteration of a layered-based rounding heuristic. In the second phase, a local search heuristic improves the solution provided by the rounding method. The solution method is evaluated using randomly generated instances, and a evaluated strategic of marketing in a real case study applied to a company to redesigning the supply chain to two lines of products.The obtained results evidence the effectiveness and flexibility of the developed approach for handling very large instances. SCND (SCND problem facilities longterm long term demand twophase phase time al 2017. 2017 . (2017) multistart multi start layeredbased layered based instances productsThe 201 (2017 20 (201 2 (20 (2 (

Abstract Hemodynamic forces are related to pathological variations of the cardiovascular system, and numerical simulations for fluid-structure interaction have been systematically used to analyze the behavior of blood flow and the arterial wall in aortic aneurysms. This paper proposes a comparative analysis of 1-way and 2-way coupled fluid-structure interaction for aortic arch aneurysm. The coupling models of fluid-structure interaction were conducted using 3D geometry of the thoracic aorta from computed tomography. Hyperelastic anisotropic properties were estimated for the Holzapfel arterial wall model. The rheological behavior of the blood was modeled by the Carreau-Yasuda model. The results showed that the 1-way approach tends to underestimate von Mises stress, displacement, and strain over the entire cardiac cycle, compared to the 2-way approach. In contrast, the behavior of the variables of flow field, velocity, wall shear stress, and Reynolds number when coupled by the 1-way model was overestimated at the systolic moment and tends to be equal at the diastolic moment. The quantitative differences found, especially during the systole, suggest the use of 2-way coupling in numerical simulations of aortic arch aneurysms due to the hyperelastic nature of the arterial wall, which leads to a strong iteration between the fluid and the arterial wall. system fluidstructure structure 1way way 1 2way 2 aneurysm D tomography CarreauYasuda Carreau Yasuda stress displacement cycle contrast field velocity found systole

In this paper, an approximate algebraic formula for calculating the period of a large-angle pendulum was developed based on fifth-order iteration of the arithmetic-geometric mean (AGM) formula for the complete elliptic integral of the first kind. The present formula is capable of estimating the period of the nonlinear pendulum for the entire range of possible amplitudes i.e. 0 ∘ < A < 180 ∘, but it is particularly useful for large-angle ( 90 ∘ < A ≤ 170 ∘) and extremely large-angle ( 170 ∘ < A ≤ 179.9 ∘) oscillations. The accuracy of the present formula was tested using exact solution, numerical solution and other published large-angle formulas. It was observed that the present formula is several orders more accurate than the numerical solution and the other published formulas. The maximum error of the present formula for amplitudes up to 179.9 ∘ was found to be 2.93 × 10 - 6 %. The present formula can be used for pedagogical purpose because of its simplicity. paper largeangle large angle fifthorder fifth order arithmeticgeometric arithmetic geometric AGM (AGM kind ie i e i.e 18 9 17 1799 179 179. oscillations formulas 293 2 93 2.9 1 % simplicity 29 2.

Abstract With the development of science and technology in recent decades, numerous optimization algorithms have emerged and been successfully applied in various fields. Particle swarm optimization (PSO) is a well-established evolutionary algorithm commonly used for optimization tasks. However, similar to other evolutionary algorithms, PSO has two main limitations that can hinder its performance. The first limitation is premature convergence, which can result in suboptimal solutions. The second limitation is the high computational time since PSO employs all particles in the swarm for each iteration. To overcome these limitations, in this work, we propose coupling a reduction model technique, specificially, Orthogonal Diagonalization (OD) with a hybrid algorithm combining Genetic Algorithm (GA) and PSO, termed HGAPSO-OD. To evaluate the effectiveness of the proposed approach, a large-scale railway bridge, calibrated based on field measurements, is used as a case study. The results demonstrate that HGAPSO-OD not only increases the accuracy but also reduces computational time of GA and traditional PSO. decades fields (PSO wellestablished well established tasks However performance convergence solutions iteration work technique specificially OD (OD (GA HGAPSOOD. HGAPSOOD HGAPSO OD. approach largescale large scale bridge measurements study

South African lecturers and students often struggle to reconcile the demands of an increasingly globalised world with pedagogies that can be adapted to harness students' local contexts, and which can be used to draw on students' lived experiences in the African context. This paper explores how a first-year academic literacies course could be reconceptualised to become more relevant to education students' lived realities, while also preparing them for a competitive degree and a career with global relevance. The current iteration of this course can be described as mainly theoretical with a typical Western course structure. Student feedback indicates that students fail to see the relevance of the course to their degrees and future careers. This conceptual paper considers how the course could be reimagined within a paradigm of action learning that is centred around project-based, socially embedded community-based learning to firstly, encourage students to draw on deep approaches to learning (Biggs, 1999) and secondly, to counter the effects of alienation (Mann, 2001) experienced by students. Ultimately, the paper hopes to offer an example of innovate course design that could successfully be implemented in resource-poor contexts.

Resumo Este trabalho se propõe a abordar as diversas temporalidades expostas no projeto biodramático de Lola Arias sobre a guerra das Malvinas (a videoinstalação Veteranos, a peça Campo Minado e o filme Teatro de guerra) coloca em jogo, em relação aos problemas associados à temporalidade que estão típico da história da guerra em geral e das Malvinas em particular. Em primeiro lugar, cada uma das obras que integram o projeto é considerada uma atualização de uma potência (Paolo Virno). Em segundo lugar, tanto o projeto como um todo quanto algumas de suas cenas são abordados como dispositivos que permitem mostrar o que Didi-Huberman chama de fecundidade do anacronismo. O objetivo é pensar na novidade que este projeto introduz em relação ao anacronismo que os combatentes, designados ao mesmo tempo por "meninos de guerra" e veteranos, encarnam, e que se traduz numa imagem em suas cabeças que, em um forma de iteração característica do trauma, ela não é esquecida ou alterada.

Resumen Este trabajo propone abordar las diversas temporalidades que pone en juego el proyecto biodramático de Lola Arias sobre la Guerra de Malvinas (la videoinstalación Veteranos, la obra de teatro documental Campo minado y el filme Teatro de guerra), en relación con las problemáticas asociadas a la temporalidad que son propias del relato de guerra en general y de Malvinas en particular. En primer lugar, se considera a cada una de las realizaciones de las obras que integran el proyecto como actualización de una potencia (Paolo Virno). En segundo lugar, se abordan tanto el proyecto en su conjunto como algunas de sus escenas como dispositivos que permiten desplegar lo que Didi-Huberman llama la fecundidad del anacronismo. El objetivo es pensar la novedad que este proyecto introduce en relación con el anacronismo que los combatientes, señalados al mismo tiempo como "chicos de la guerra" y veteranos, encarnan, y que se traduce en una imagen en sus cabezas que, en un modo de iteración propio del trauma, no se olvida ni cambia.

Abstract This paper proposes to address the various temporalities that Lola Arias's biodramatic project on the Malvinas War (the video installation Veterans, the documentary play Minefield and the film Theater of War) brings into play, in relation to the problems associated with temporality that are specific to the narrative of war in general and the Malvinas War in particular. In the first place, each of the works that make up the project is considered as an update of a power (Paolo Virno). Secondly, both the project as a whole and some of its scenes are approached as devices that allow to display what Didi-Huberman calls the fecundity of anachronism. The objective is to think about the novelty that this project introduces in relation to the anachronism that the combatants, designated at the same time as "war boys" and veterans, embody, and which translates into an image in their heads that, in a way of iteration characteristic of the trauma, is neither forgotten nor changed.

Abstract In this paper, a new iteration scheme in a uniformly convex metric space is defined and its convergence is obtained. A numerical example is also considered to compare the rate of convergences of the iteration with that of an existing iteration scheme.

Abstract: This research aims to identify the potential implications of the Design Thinking methodology applied to Urban Design processes, as a useful tool to guide situated design processes and innovation facing complexity, learning through the process based on reflective action learning among others. The study analyzes the experience of urban designers and academics on developing urban design projects within the framework of the Master in Integrated Cities Design (MDCI in Spanish) at the Universidad Viña del Mar, Chile (2019-2020), who implemented an Urban Design process under the hypothesis that it serves as an innovative tool in three aspects: empathy, iteration, and scalability. It takes a phenomenological qualitative research methodology and analyzes both the common and distinct experiences of urban designers and academics at the MDCI project laboratory that they recognize as relevant in the process. The experiences were evaluated through group interviews. The data analysis was done through coding methods based on Grounded Theory, identifying those experiences relevant to the Urban Design process that promote the capacity for innovation in the production of urban space. A total of nine innovation dimensions relevant to Urban Design are identified insofar as Design Thinking promotes a focus on the process and not on the final project, encouraging situated knowledge that explores the territory through experimentation based on artifacts and experiences and aims to open ongoing questions. All of this promotes learning through the process of iteration where the Urban Designer takes on the role of facilitator of design processes, promoting forms of local governance for a specific issue and incorporating diverse disciplinary and experiential approaches to address the urban problem.

Resumen: la metodología de Design Thinking en procesos de diseño urbano, como una herramienta procedimental útil para orientarlos de manera situada en el territorio y de forma innovadora frente a desafíos complejos, y que permite el aprendizaje durante el proceso mediante la acción reflexiva. El estudio se basa en el análisis de la experiencia de diseñadores y académicos involucrados en proyectos desarrollados en el marco del Magíster en Diseño de Ciudades Integradas (MDCI) de la Universidad Viña del Mar, Chile (2019-2020), quienes implementaron la metodología bajo la hipótesis de que esta es una herramienta innovadora en tres aspectos: la empatización, la iteración y la escalabilidad. La metodología de investigación es cualitativa del tipo fenomenológica, analiza las experiencias comunes y distintas de los profesionales. Estas se evaluaron mediante entrevistas grupales. El análisis de los datos se desplegó a través de métodos de codificación basados en la teoría fundamentada (Grounded Theory), identificando experiencias relevantes para el proceso de diseño urbano que promuevan la capacidad de innovación en proyectos de este tipo. Se identificaron nueve dimensiones de innovación relevantes, en tanto el Design Thinking 1) se enfoca en el proceso mismo y no necesariamente en el proyecto final, promoviendo el conocimiento situado mediante la experimentación basada en artefactos y experiencias; 2) origina interrogaciones constantes y el aprendizaje durante el proceso de iteración, situando al diseñador como un facilitador; 3) impulsa formas de gobernanza local para un problema específico, incorporando diversos enfoques experienciales a la hora de abordar el problema urbano.