In the present paper, we describe a new generalization of complex Bernstein-Schurer operators. We attain quantitative upper estimates for the convergence, lower estimates from a qualitative Voronovskaya type result and afterwards establish the exact degree of simultaneous approximation by the specified operator attached to analytical functions in a disk centered at the origin having radius greater than one.

Futoshiki is a computationally hard problem belonging to the Latin Square Completion-type Puzzles. It is played on a partially filled n×n grid that may include inequality constraints between cells. The objective is to complete the grid such that each row and column contains the integers from 1 to n exactly once, while also satisfying all inequality constraints. In this work, we propose FutoshikiACO, an Ant Colony Optimization-based algorithm to solve Futoshiki instances of fixed size. We evaluate the performance of this stochastic method through computational experiments. Compared to existing deterministic approaches, FutoshikiACO explores a significantly reduced search space. Our results not only demonstrate the inherent complexity of the Futoshiki problem but also highlight the types of instances where ant colony-based metaheuristics are particularly effective in solving such constraint satisfaction problems.

The implementation of responsive facades offers a promising strategy for reducing operational energy use while enhancing indoor comfort. These facades dynamically adjust their configurations, mirroring adaptive behaviors observed in living organisms. The bio-inspired responsive facade approach integrates principles from biomimicry and responsive architecture to develop systems that react intelligently to environmental stimuli. This study aims to analyze existing literature to identify key developments and trends in bio-inspired responsive facades. The research is conducted in three main phases. First, the study establishes its conceptual framework. Second, a comprehensive bibliometric analysis is conducted using the Web of Science database, employing science mapping techniques via VOSviewer and the Bibliometrix R package. This analysis uncovers major trends, turning points, influential authors, leading journals, and significant conferences, offering a clear overview of the research landscape. In the third phase, 33 facade designs are selected from 141 identified publications for comparative analysis. Each design is examined based on material, control systems, movement mechanisms, and functional objectives. The review explores their natural inspirations, responsive stimuli, and material strategies to derive insights for future innovation. Results reveal that 45% of designs focus on improving thermal comfort in hot climates, often utilizing active systems or smart materials. Folding and rotating mechanisms are the most common modes of movement. However, only five designs progress beyond the conceptual phase, highlighting the need for practical implementation. By mapping the evaluation of this interdisciplinary field, the study establishes a systematic foundation for advancing bio-inspired responsive facade research.

Elevator systems are essential in multi-story buildings, affecting circulation, travel time, and user comfort. Traditional design methods, based on mathematical calculations, provide initial estimates of elevator numbers and capacities by considering basic operational criteria. However, these methods cannot fully capture dynamic passenger flows and temporal variations in demand. Dynamic simulation-based elevator traffic analysis, on the other hand, allows for more comprehensive evaluation of elevator operations and enables testing of alternative zoning scenarios. In this study, a dynamic simulation-based analysis is applied as a case study for a hospital outpatient building. Different zoning strategies are implemented for elevator groups to evaluate their effect on system performance. Performance criteria, including Average Waiting Time (AWT), Average Time To Destination (ATTD), and Interval (INT), are assessed across different zoning scenarios and compared with values commonly reported in the literature. The results highlight the potential of zoning to improve elevator performance, including passenger handling, waiting times, and travel efficiency. Especially in buildings where physical modifications are difficult, the combination of simulation-based analysis and carefully designed zoning strategies can reveal the potential for enhancing operational performance and optimizing elevator efficiency within existing physical constraints.

Power supply is today a major concern in the current world. With the advent of renewable energy technology, and more so photovoltaic (PV) systems, more efficient energy management procedures are required to maintain stability in the power system. In this extensive study, the complex area of energy management schemes and the development of energy control techniques is outlined, with specific emphasis on hybrid photovoltaic (PV) battery-supercapacitor system optimization. The research consists of a comprehensive literature survey of emerging technology, state-of-the-art technology, and most prominent considerations in the design and implementation of energy management initiatives. The survey conducts a thorough examination of relevant literature and case studies with a view to synthesizing existing knowledge and providing future research and development emerging trends. As the world increasingly demands cleaner energy sources, the findings of this in-depth analysis are a valuable contribution to the current stock of scholarly literature on energy management optimization in grid-connected hybrid systems. The findings can help accelerate the photovoltaic harnessing and a sustainable and greener energy tomorrow.

The marble industry can cause significant environmental impacts due to quarrying, transportation, and shaping of marble. Marble extraction can disrupt the ecological balance of the mining area, from visual and noise pollution to surface and groundwater and agricultural land contamination due to the marble waste. In particular, waste marble dust (WMD) can be carried by the wind into residential areas and cause pollution. However, it can be used directly and recycled in the construction materials. This approach can have many environmental and economic benefits with the production of construction materials. On the other hand, the use of WMD as a substitute material in the construction sector was mainly analyzed for durability, workability, and strength; also, it can be a convenient option as a filler, but the environmental assessment of its use as a filler concrete is limited. This study evaluates using WMD by substituting different proportions of cement and fly ash (FA) in self-compacting concrete. CCaLC2 software was used in a cradle-to-gate assessment. When the amount of WMD used increases from 50 to 200 kg/m3, carbon footprint, acidification, eutrophication, photochemical smog, and human toxicity potentials of the raw materials increases 1,80%,236,97%, 26,48%, 221,48%, 102,22%, respectively. Considering the location of the marble mine and the marble waste storage area, using WMD instead of FA and cement in concrete can save environmental pollution from the clinker process in cement production. In addition, the transport of WMD can be seen as an economical alternative due to its low bulk density and reduced landfill.

This study investigates shifts in online market shopping behavior in Ankara, Türkiye, during three distinct stages of the COVID-19 pandemic: pre-pandemic, the period of stringent restrictions, and the subsequent easing of restrictions. Using online sales data from local supermarkets, we combine statistical and spatial analyses to evaluate how consumer behavior evolved and how it relates to socioeconomic and geographic factors. A non-parametric Kruskal–Wallis test identifies significant differences in online sales across the three periods, while Geographic Information Systems mapping visualizes the spatial distribution of changes at the neighborhood level. Correlation analyses reveal that online shopping activity is positively associated with higher socioeconomic status and education levels, with these relationships becoming more pronounced during the restriction period. The findings demonstrate that online grocery adoption surged under strict measures and partially stabilized afterward, with spatial patterns highlighting disparities between central and peripheral districts. By integrating statistical evidence with spatial visualization, this study provides insights into how crisis-driven shifts in consumer behavior intersect with social and geographic factors, offering a basis for future research and policy considerations in urban retail and e-commerce planning.

Chromium (VI) is a heavy metal which is the cause of water pollution and toxic effect on the living structures. In this study, the adsorption of Cr (VI) and the removal of other pollution parameters were investigated using natural adsorbent as waste acorn of Quercus ithaburensis (Oak tree) which was produced by valeks industries. The study consists of two experimental parts. In the first part, principal factors affecting the adsorption were investigated by batch experiment methods. Optimum conditions of stirring rate, pH, particular size of adsorbent, starting concentration, amount of adsorbent, mixing time and temperature for effective chromium removal were determined. The best adsorption conditions were found as 10 min contact time at 7 of pH with 550 rpm stirring rate in 100 ml sample volume using 1.00 g of adsorbent. In the second part, adsorption tests were exercised with wastewater under pre-determined optimum conditions for the adsorbent. Experimental studies were taken place on the removal of COD (Chemical Oxygen Demand), SS (Suspend Solid), BOD (Biological Oxygen Demand) and chromium (VI) from composite sample of the tannery wastewater. The outputs of adsorption using oak acorn waste for COD, SS, BOD and chromium (VI) respectively about 1%, 17%, 12.5%, 12% was obtained.

This article investigates combining traditional methods for solving differential equations with Aboodh integral transformation and the Bernstein method. This approach offers a new perspective in solving various differential and integral equations. The solution approach obtained from the combination of Bernstein polynomials and integral transformations stands out in terms of theoretical and practical implications. This method can be applied to various examples of differential equations, and its practical applicability can be evaluated through studies conducted using programming languages. The error between the exact solution and the proposed method’s approximate solution has been calculated. We compare the numerical results of the Aboodh-Bernstein, Laplace-Bernstein, and Sumudu-Bernstein methods.

Hospital environments are critical in the cyber world because the technologies used there directly impact patients' vital information and the continuity of healthcare. Digital infrastructures such as electronic health records, medical devices and communication systems pose a high risk to patient safety and data privacy. Therefore, cybersecurity in hospitals is a vital requirement to both protect patient privacy and ensure the uninterrupted continuity of healthcare services. Hospitals need secure and efficient encryption methods to protect patient privacy and meet operational requirements when handling large amounts of sensitive data. Traditional encryption methods pose challenges in terms of resource consumption, especially for devices with limited processing power and memory. This paper investigates ChaCha20 and Salsa20 lightweight encryption algorithms in healthcare based on factors such as processing time, memory usage and file type. Five different scenarios were created that can be encountered in a daily hospital environment. In these scenarios, the performance of lightweight encryption algorithms was analyzed. Instead of determining which algorithm is better, the study aims to show which algorithm gives better results in each scenario. ChaCha20 provides stable and reliable performance for small and medium-sized files in resource-constrained environments. Salsa20 performs well for large files and tasks that require fast processing. While both ciphers work effectively in different hospital environment scenarios, systems with cryptographic accelerators are found to significantly improve the performance and scalability of these algorithms. The findings of the study provide valuable insights for the selection and integration of lightweight encryption solutions suitable for different healthcare needs.