Lexical Representation of Dense Numerical Vectors: Introducing LangVec
Simeon Emanuilov, Aleksandar Dimov
Sofia University “St. Kliment Ohridski” (Bulgaria)
https://doi.org/10.53656/math2024-3-1-lex
Abstract. High-dimensional numerical vectors are widely used in machine learning for searching and indexing data. However, it is often difficult for users to interpret their meaning…
Distances between Remarkable Points and Inequalities in a Convex Quadrilateral
Yordan Tabov 1), Stanislav Stefanov 2),
Krasimir Kanchev 3), Haim Haimov
1) Institute of Mathematics and Informatics,
Bulgarian Academy of Sciences
2) University of Architecture, Civil Engineering and Geodesy
3) University of Transport “Todor Kableshkov”
https://doi.org/10.53656/math2024-3-2-int
Abstract. In this article, using the formulas derived in (Nenkov 2019) and (Nenkov 2022) for the distances from some remarkable points in the quadrilateral to its vertices and to the midpoints of its sides and diagonals...
Development of Digital Competencies in the Compulsory Education in Information Technology in Secondary School
Temenuzhka Zafirova-Malcheva,
Nikolina Nikolova, Pencho Mihnev
Sofia University
https://doi.org/10.53656/math2024-3-3-dev
Abstract. The article presents the second part of a study that aims to identify the need for updating the curriculum and learning content of Computer Modelling and Information Technology (CMIT) in the lower secondary stage (grades 5 – 7) and Information Technology (IT) in the upper secondary stage (grades 8 – 10) of education in Bulgaria...
Using AI to Improve Answer Evaluation in Automated Exams
Georgi Cholakov, Asya Stoyanova-Doycheva
University of Plovdiv “Paisii Hilendarski” (Bulgaria)
https://doi.org/10.53656/math2024-3-4-imp
Abstract. The objective of the research is to enhance the functionality of the Evaluator software agent within the Distributed eLearning Center (DeLC), a platform providing extensive support for e-learning activities…
Program Implementation of the Game ‘Combination Nine’
Georgi Gachev
Institute of Mathematics and Informatics,
Bulgarian Academy of Sciences
https://doi.org/10.53656/math2024-3-5-int
Abstract. The article presents the mathematical game ‘Combination Nine’. The game requires the numbers 1 to 9 to be arranged in the nine corner points of a 2 × 2 square grid in a way that the sum of the numbers in the four corners of each grid cell is equal to the number set inside the cell...
Development of Digital and Algorithmic Skills for Students using Visual BASIC for Applications
Stefka Aneva, Elena Todorova
Paisii Hilendarski University of Plovdiv
(Bulgaria)
https://doi.org/10.53656/math2024-3-6-dev
Abstract. This article presents an approach for integrated intersubject collaboration and creative use of already present digital skills of students for processing data in spreadsheets...
Double Counting and Fibonacci Numbers
Ivaylo Kortezov
Institute of Mathematics and Informatics
Bulgarian Academy of Sciences
https://doi.org/10.53656/math2024-3-7-dou
Abstract. The article proposes a double counting method for proving combinatorial identities involving Fibonacci numbers...
