Year LXVIII, Issue 5, 2025<<Archive>>
Sciеncе in Еducаtion
NONPARAMETRIC MAXIMUM LIKELIHOOD ESTIMATION IN BRANCHING PROCESSES WITH RANDOM MIGRATION
In the present work we consider a special case of estimation in branching stochastic processes with random migration. The aim is to estimate the distributions of the offspring, of the emigration and of the immigration components, as well as the migration ev...
branching processes; migration; nonparametric estimators; simulation; maximum likelihood
EXPLORING PICK’S THEOREM IN THE CLASSROOM: A COMPARISON BETWEEN TRADITIONAL AND DIGITAL METHODOLOGIES USING PICKSOLVER SOFTWARE
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. Students worked in groups of four and completed four tasks...
geometry education; lattice polygon; Pick’s theorem; area; digital tools
SELECTION OF THE BULGARIAN TEAM FOR THE TWENTY-NINTH JUNIOR BALKAN MATHEMATICAL OLYMPIAD
The article provides a look at the selection and preparation of the national team for the Junior Balkan Mathematical Olympiad 2025, the Bulgarian entry selected for the competition, and a brief report on the team’s performance.
mathematics competitions; Junior Balkan Math Olympiad, Latin squares, inversions in a permutation.
Еducаtionаl Tеchnologiеs
INFRASTRUCTURE FOR DEPLOYING LARGE LANGUAGE MODELS IN CHATBOTS WITH RETRIEVAL-AUGMENTED GENERATION
The article presents an infrastructure that integrates freely available tools and large language models into a personalized chatbot. The aim is to show how large language models can be used with affordable graphics processors and what possibilities exist to en...
large language models; artificial intelligence; chatbots
THE PYTHAGOREAN TREE WITH GEOGEBRA AS A MOTIVATOR FOR THE IMPLEMENTATION OF AUGMENTED REALITY IN SCHOOL
A variant for interactive presentation of content with the inclusion of augmented reality using dynamic software GeoGebra is described. A concretization is made with the Pythagorean Tree fractal. The goal is to support the understanding and memorization of the...
interactivity; augmented reality; fractal; Pythagorean Tree; STEAM; GeoGebra