Nonparametric Maximum Likelihood Estimation in Branching Processes with Random Migration
Tsvetomira Zlatkova, Vessela Stoimenova
Faculty of Mathematics and Informatics,
Sofia University St. Kliment Ohridski, Sofia (Bulgaria)
https://doi.org/10.53656/math2025-5-1-nml
Abstract. In the present work we consider a special case of estimation in branching stochastic processes with random migration…
Exploring Pick’s Theorem in the Classroom: a Comparison between Traditional and Digital Methodologies Using Picksolver Software
Ruben Molano 1), Mar Avila 2), Jose Carlos Sancho2), Pablo G. Rodrguez 2), Andres Caro 2)
1) Department of Didactics of Experimental Sciences and Mathematics,
University of Extremadura, Caceres (Spain)
2) Department of Computer and Telematics Systems Engineering,
University of Extremadura, Caceres (Spain)
https://doi.org/10.53656/math2025-5-2-ept
Abstract. This paper presents a study that analyzes how traditional methods, based on the use of paper-and-pencil (PPB), can be integrated with digital tools to solve geometric problems using Pick’s theorem…
Selection of the Bulgarian Team for the Twenty-ninth Junior Balkan Mathematical Olympiad
Miroslav Marinov 1), Ivaylo Kortezov 1)
1) Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
https://doi.org/10.53656/math2025-5-3-stb
Abstract. The article provides a look at the selection and preparation of the national team for the Junior Balkan Mathematical Olympiad 2025...
Infrastructure for Deploying Large Language Models in Chatbots with Retrieval-augmented Generation
Jordan Kralev 1,2), Svetla Koeva 2)
1) Faculty of Automatics, Department of Systems and Control,
Technical university – Sofia
2) Institute for Bulgarian Language Prof. Lyubomir Andreychin,
Bulgarian Academy of Sciences (Bulgaria)
https://doi.org/10.53656/math2025-5-4-idl
Abstract. The article presents an infrastructure that integrates freely available tools and large language models into a personalized chatbot...
The Pythagorean Tree with Geogebra as a Motivator for the Implementation of Augmented Reality in School
Koya Chehlarova 1), Toni Chehlarova 2)
1) University of Library Studies and Information Technologies, Sofia (Bulgaria)
2) Institute of Mathematics and Informatics, BAS, Sofia (Bulgaria)
https://doi.org/10.53656/math2025-5-5-ptg
Abstract. A variant for interactive presentation of content with the inclusion of augmented reality using dynamic software GeoGebra is described…
An Interdisciplinary Model for Teaching with Open Climate Data Across Mathematics, Informatics, and Geography
Eugenia Sarafova1), Kliment Naydenov2), Antonina Atanasova 2)
1)Geospatial Systems and Technologies Department, Faculty of Geology and Geography,
Sofia University (Bulgaria)
2) Regional Development Department, Faculty of Geology and Geography, Sofia University
(Bulgaria)
https://doi.org/10.53656/math2025-5-6-imt
Abstract. This paper presents an interdisciplinary educational model that integrates open climate data into the teaching of informatics, mathematics, and geography, with a focus on developing data literacy, geospatial thinking, and climate awareness…
