Research on Modern science and Utilizing Technological Innovation Journal (RMUTI Journal)

Generalized Solutions of the Diophantine Equation 1^n/v_1 +2^n/v_2 +3^n/v_3 +⋯+k^n/v_k =1

2026-06-02T14:28:43+07:00

This paper investigates the positive integer solutions of the Diophantine equation where is a positive integer and are positive integers with the condition . The study focuses on the existence and structural properties of the solution set. For a fixed smallest denominator, it is shown that the equation admits only finitely many solutions, and explicit upper and lower bounds for all denominators are established. Necessary conditions and polynomial growth constraints for admissible solutions are derived. These results clarify the structural behavior of power-type fractional Diophantine equations and provide a theoretical framework for further developments in number theory.

Mathematical Analysis of the Effect of Education Campaign on Chickenpox Transmission Dynamics

2026-05-29T13:56:11+07:00

The research objective is to develop and evaluate the stability of mathematical modelling for controlling the spread of chickenpox in the education campaign. The model is analyzed using standard methods, the equilibrium point, stability of the equilibrium points and analytic solutions. The effectiveness of the education campaign in mathematical modelling and numerical solutions is studied. The findings of the analysis indicate that the effectiveness of the education campaign constitutes a significant factor influencing the dynamics of the mathematical model developed to control the spread of chickenpox. It was found that if the population at risk of infection with chickenpox has knowledge about the prevention of chickenpox, it will contribute less to the increase in the spread of the disease. If the population at risk of infection with chickenpox has knowledge about the prevention of chickenpox, it will contribute to the decrease in the spread of the disease until there is no further spread of chickenpox infection. The population at risk of infection with knowledge about the prevention of chickenpox is not less than 50 percent of the total population and will contribute to the decrease in disease spread until there is no further spread of infection. This highlights the importance of public health education in controlling outbreaks. By ensuring that a significant portion of the population understands how to prevent transmission, the overall health of the community can be safeguarded and the incidence of chickenpox can be significantly reduced.

Effect of Combined Replacement of Cement and Sand with Glass Powder on Compressive Strength and Physical Properties of Mortar

2026-05-19T16:28:21+07:00

The objective of this research is to study the potential of reutilizing waste glass. The study examines the effects of the combined replacement of cement with fine glass powder (GPF) and sand with coarse glass powder (GPC) in proportions of 5, 10, 15, and 20 percent by weight on the compressive strength and physical properties of mortar. The results of the study indicated that the flow and density of the mortar tended to decrease with the increase of glass replacement levels due to the increased specific surface area of the glass powder particles, leading to a higher water demand to lubricate the particle surfaces. However, the replacement of cement with 5 percent GPF combined with the replacement of sand 5 percent GPC yielded the highest compressive strength of 35.21 MPa at 28 days. Additionally, this mixture exhibited the lowest porosity and water absorption values of 3.85 percent and 1.60 percent. Microstructural analysis revealed that GPF acted as a filler material, resulting in a denser structure, whereas excessive GPC content negatively affected compressive strength due to its angular particles hindering aggregate packing. In conclusion, the most appropriate mortar ratio is the replacement of cement with 5 percent GPF combined with the replacement of sand with 5 percent GPC, which helps reduce waste glass quantity and is environmentally friendly.

Development of Eco-Friendly Shell-Based Clay Products: Influence of Surface Coatings on Physical Properties and Durability

2026-06-15T09:59:32+07:00

This research aims to investigate the physical properties and durability of eco-friendly clay sculptures incorporating waste shells using different surface coatings. The study addresses the vulnerability of flour-based clay jewelry and souvenirs to moisture damage and fungal growth. The experimental procedure began with preparing clay specimens from a mixture of glutinous rice flour, cornstarch, and mussel shell powder, followed by molding, drying, and surface coating with acrylic lacquer, epoxy resin, and polyurethane. The specimens were subsequently evaluated for color properties, surface wettability via contact angle measurements, and durability through simulated practical use. The results indicated that all three surface coatings effectively increased the water contact angle on the specimen surfaces, thereby reducing wettability. Polyurethane-coated specimens exhibited the highest contact angle of 86 degrees, demonstrating the lowest wettability. Although the polyurethane coating slightly decreased the lightness value (L*), resulting in a darker appearance compared to other coatings, it significantly enhanced durability by reducing specimen damage by 40 % after 15 minutes of cleaning under ultrasonic waves compared to uncoated samples. Consequently, the application of surface coatings effectively improves moisture resistance and preserves the quality of shell-based clay products.

Heat Transfer Analysis of Building Window Films Using the Finite Element Method with Economic Evaluation in a Tropical Climate

2026-05-29T15:07:52+07:00

This study investigates heat transfer behavior within buildings under steady-state conditions by comparing the performance of five types of window films: metallic film, black phosphorus film, clear heat-resistant film, safety film, and ceramic film. Although previous studies have examined the properties of window films, there remains a lack of comparative analysis under a unified numerical model combined with economic evaluation in a tropical climate context. In this study, the Finite Element Method (FEM) was applied to analyze the two-dimensional temperature distribution. A numerical model was developed using the C programming language, and the results were validated against simulations obtained from COMSOL Multiphysics. The findings indicate that the ceramic film provides the most effective thermal performance under the given modeling conditions. It achieves the lowest inner glass surface temperature of 35.12 ^oC and reduces heat transfer through glass by 31.67 %. From an economic perspective, the ceramic film can reduce annual energy costs by approximately 929.39 THB, lowering the electricity expense to 2,005.51 THB per year, with a payback period of approximately 3.87 years. These results suggest a strong potential for cost-effectiveness under the model assumptions. However, the model considers only conductive heat transfer and does not account for convection and radiation effects. Therefore, the results should be interpreted within these limitations. This study contributes to bridging thermodynamic analysis and economic decision-making, supporting the selection of materials for energy-efficient building design in hot climate regions.

Free Vibration of Functionally Graded Shells with Graphene Platelets Reinforcement using Improved First-Order Shear Deformation Theory

2026-06-04T16:40:58+07:00

This paper presents a semi-analytical formulation for the free vibration of functionally graded shells with graphene platelets reinforcement using improved first-order shear deformation theory. The effective Young’s modulus of the functionally graded material (FGM) is determined using Voigt’s model, while the effective Young’s modulus of the graphene platelet (GPL) reinforcement is predicted by the Halpin–Tsai micromechanical model. Additionally, the effective Poisson’s ratio and density are calculated using the rule of mixtures. The governing equations for FGM shells reinforced with GPL are formulated using the improved first-order shear deformation theory (FSDT). The equations of motion are derived using Hamilton’s principle, and the numerical solutions are obtained through Navier’s method. The present results demonstrate excellent agreement with various shear deformation theories reported in the existing literature. The numerical results indicate that the FGM shells reinforced with GPL pattern B yield the highest natural frequency. This is because the maximum GPL content is distributed near the top and bottom surfaces, where the normal stresses are highest. Furthermore, this GPL distribution effectively satisfies the actual normal stress requirements of the shells.

Assessment of Phytochemical Profile and Antioxidant Activities of Bouea oppositifolia (Roxb.) Meisn. Seed Extract

2026-03-24T09:50:48+07:00

Phytochemicals found in plants are important sources of antioxidants, which play a vital role in preventing and reducing the risk of various serious diseases such as diabetes mellitus, cardiovascular diseases, neurodegenerative and brain disorders, chronic inflammatory diseases, and cancer. These compounds have gained increasing attention from consumers worldwide. This study aimed to conduct a preliminary screening of phytochemicals, determine the total phenolic and flavonoid contents, and evaluate the antioxidant activity of crude seed extracts of Bouea oppositifolia (Roxb.) Meisn. using hexane, ethyl acetate, and methanol as solvents. Preliminary phytochemical screening using colorimetric or precipitation reactions revealed the presence of phenolics, flavonoids, anthraquinones, triterpenes, and tannins. The total phenolic and flavonoid contents were determined using the Folin-Ciocalteu reagent and the aluminum chloride colorimetric method, respectively. Among the extracts, the methanolic extract exhibited the highest total phenolic and flavonoid contents (105.91±0.70 mg GAE/g dried weight and 19.41±3.13 mg QE/g dried weight). It also demonstrated the strongest antioxidant activity based on all three methods: DPPH and ABTS radical scavenging assays (IC₅₀ values of 0.16±0.05 and 5.54±0.35 µg/mL), and the FRAP assay (FRAP value of 560.51±30.90 mg FeSO₄/g dried weight). These findings suggest that B. oppositifolia seed extract is a potential source of natural antioxidants and could serve as a basis for further research and development into health-related products.

Enhancing Efficiency of Thai Opinions Models on Artificial Intelligence using Word Segmentation Techniques

2026-04-16T16:25:19+07:00

This research aimed to analyze word segmentation techniques that improve the performance of sentiment classification models for Thai people’s opinions toward artificial intelligence. The data were collected from social media platforms, consisting of 8,091 comments. The researcher selected only comments containing more than 10 words for analysis, resulting in a total of 1,767 comments. In the text mining process, word segmentation is an important and time-consuming step. Therefore, the researcher employed Newmm, Deepcut, Longest, and Attacut techniques for word segmentation. For model construction, Naive Bayes, Support Vector Machine, K-Nearest Neighbors, and C4.5 Decision Tree techniques were applied, as these techniques are reliable, widely accepted, and commonly used in research studies. The performance evaluation employed the 10-Fold Cross Validation method for data partitioning. The effectiveness of the word segmentation techniques was measured using Accuracy, Precision, Recall, and F1-Score. The experimental results revealed that the Deepcut technique, which is a data-driven word segmentation approach, could effectively handle comments containing new or informal words. When combined with the Support Vector Machine technique, which performs well with high-dimensional and complex data containing formal words, informal expressions, and newly emerging terms, the combination achieved the best performance. The results yielded an accuracy of 93.42 %, a recall of 97.03 %, and an F1-score of 94.54 %.