Balkan Journal of Applied Mathematics and Informatics

DETERMINATION OF ALGEBRAIC POINTS OF LOW DEGREE ON A FAMILY CURVES

2024-12-11T10:56:17+00:00

 Let n be a positive integer. The purpose of this paper is to determine explicitly algebraic points of low degree over Q on the family curves of affine equation
 y³ⁿ=x⁴ⁿ-1. An algebraic point of degree at most 2 is called an algebraic point of low degree. The essential tools for this determination are the theorem of 
Chevalley-Weil, cyclotomic polynomials, rational morphisms between these curves and the special Picard curve of affine equation y³=x⁴-1.

EXIBITION PRAMETRIC FAMILY OF ALGEBRIC POINTS OF GIVEN DEGREE ON THE AFFINE EQUATION CURVE: −y2 = x6 − 20x3 − 8

2024-12-11T10:56:17+00:00

We give an explicit parametric family of algebraic points of given degree on Q over the affine equation curve: -y²= x⁶- 20x³- 8. These curves are described by Nils BRUIN in [1], who showed that the MordellWeill group is finite and explained the generators of the torsion group for this curve.

DIGITAL FORENSICS ON ANDROID DEVICE

2024-12-11T10:56:18+00:00

The science of digital forensics is an ever-changing and complex field which demands continuous advancements and development. It involves examining and extracting data from electronic devices which can consequently be used as digital evidence in the investigation of potential criminal activities.

The forensic experts work tirelessly on finding new and improved tools which can make the research in the field more effective and the practical work of the examiners more productive. The processes and procedures are also constantly updated to follow the technological advances, in order to keep up with the trends lead by the manufacturers of electronic devices.

The following research paper provides detailed description of the process of examination and extraction of data from mobile phones with android operating system. The detailed description explains the standardized procedures in stages, categorized in logical and chronological order to depict the work tasks of a digital forensic examiner.

In addition to the theoretical explanation, this paper also offers practical examples of digital forensic examination. This practical examination was conducted to supports the key points of the elaborated research.

Key words: digital forensics, mobile phone, android operating system

MULTI-ACTION GRID AUTHENTICATION: A SECURE AND USABLE AUTHENTICATION SYSTEM FOR SMART TOUCH DEVICES

2024-12-11T10:56:18+00:00

In the digital age, securing smart touch devices is of paramount importance to safeguard sensitive information. Traditional graphical password systems, while convenient, remain vulnerable to attacks such as shoulder surfing and smudge tracing. This paper introduces a novel multi-action grid authentication system that enhances security while preserving ease of use. The system allows users to authenticate by performing two actions—tapping and replacing—within a 3x3 grid. Through iterative development and testing, the method shows significant improvements in preventing common security threats while maintaining high user satisfaction. A thorough analysis of password space is also conducted, demonstrating the system's robust resistance to brute-force attacks. Our findings suggest that this multi-action approach offers a secure, efficient alternative to existing graphical password systems.

USE CASES FOR BPMN AND UML TOOLS

2024-12-11T12:29:10+00:00

Business Process Model and Notation (BPMN) and Unified Modeling Language (UML) are two widely adopted tools for modeling in business and software engineering respectively. This paper explores the use cases for both BPMN and UML tools, highlighting their respective applications, differences, and synergies. By examining their features and specific scenarios where each tool excels, this research provides insights into how organizations can effectively leverage these tools for optimal outcomes.

COMPARATIVE ANALYSIS OF BPMN TOOLS

2024-12-11T12:30:55+00:00

This paper presents a comparative analysis of prominent BPMN (Business Process Model and Notation) tools, including Camunda, Bizagi Modeler, bpmn.io, ProcessMaker, and Lucidchart. We evaluate these tools based on key criteria such as features, functionality, usability, integration capabilities and cost. By examining their strengths and limitations, we aim to provide a comprehensive overview that assists organizations in selecting the most suitable tool for their business process modelling needs. The analysis includes practical insights into each tool's effectiveness in facilitating process design, simulation and execution, offering valuable guidance for practitioners and decision-makers.

POSSIBILITIES FOR INSTALLATION OF PHOTOVOLTAIC SYSTEMS IN CATERING FACILITIES IN MACEDONIA

2024-12-11T10:56:18+00:00

The energy crisis that swept across Europe and the resulting electricity price impact have highlighted the need for enhanced energy resilience. To mitigate future price fluctuations and unforeseen shocks, investments in photovoltaic (PV) systems are crucial. Hospitality establishments in Macedonia hold significant potential for reducing the country’s energy dependency and accelerating the energy transition. It is therefore essential to explore the feasibility of installing PV systems on these establishments and to assess the profitability of such investments. For an optimal analysis of PV system installation potential in the hospitality sector, data from the State Statistical Office, based on the 2021 census in Macedonia, were utilized. According to the census, there are a total of 1,006 hotels and restaurants in the country. This analysis presents the total potential installed capacity of PV systems on all hotels and restaurants in Macedonia, the predicted annual electricity generation from these systems, and the resulting avoided CO2 emissions. Since the intensity of solar radiation varies geographically, simulations were conducted for PV systems with an installed capacity of 40 kWp in each region: Vardar, Eastern, Southwestern, Southeastern, Pelagonia, Polog, Northeastern, and Skopje regions. These simulations were performed using the PV*SOL premium software, which leverages the Meteonorm database for solar radiation data to estimate annual electricity production from the PV systems. The analysis also includes case studies for a hotel and a restaurant, for which techno-economic analyses were conducted to evaluate the profitability of PV system installations.

APPLICATION OF CENTER OF GRAVITY METHOD FOR LOCATIONS OF FACILITIES

2024-12-11T10:56:18+00:00

The facility location decision is a critical aspect of operations management, with transportation costs often serving as a primary consideration. The Center of Gravity (COG) method has emerged as a practical tool for its simplicity in estimating optimal facility locations. This paper provides a comprehensive review of the COG method, acknowledging its strengths as a quick approximation tool but also highlighting its limitations. We delve into the method's assumptions, notably the uniformity of transportation costs, and discuss its application in dynamic and complex environments. Furthermore, we advocate for a holistic approach to facility location decisions, incorporating factors such as market competition, legal constraints, and environmental sustainability. To address these complexities, we propose the integration of advanced tools and techniques, including optimization algorithms, geographical information systems (GIS), and machine learning. By embracing a more sophisticated analytical framework, organizations can make informed decisions that align with broader business objectives, ensuring that facility locations are strategically chosen beyond the narrow focus on transportation costs. This paper aims to guide practitioners and researchers in navigating the intricacies of facility location planning, emphasizing the importance of a nuanced and advanced approach.

ON THE INTERGRABILITY OF A SUBCLASS OF 2D MATRIX DIFFERENTIAL EQUATIONS

2024-12-11T11:04:56+00:00

In this paper, the 2D matrix differential equations are considered. Under certain conditions, using the Rodrigues’ formula for these 2D matrix differential equations, a particular solution is obtained. Finally, this theory is supported by examples.