Year LXIII, Issue 2, 2020<<Archive>>
In this issue:
Еducаtionаl Маttеrs
ABOUT THE VECTOR SPACE OF THIRD ORDER MAGIC SQUARES (IN RECREATIONAL MATHEMATICS)
The present paper is about magic squares and in particular about the vector space of third order magic squares. The aim is to answer some questions as: which sequence of nine numbers could be “formatted” into a magic square and how this could be done; whether...
magic squares; vector space; recreational mathematics
SOME NEW QUESTIONS ABOUT SEQUENCES OF SEMI-PRIME AND PRIME NUMBERS
Everywhere in Nature and life, prime numbers are used very often: cicadas build their life cycles on them, watchmakers use them to calculate ticks, and in aircraft engines with their help the frequency of air pulses is balanced. However, all these areas of app...
prime numbers; semi-prime numbers; applications
A PAPER-MATRIX AS A REALIZATION FORM OF THE FUNCTIONS OF THE NET RESEARCH PROJECT “ENCYCLOPDIA OF FLAT CURVES: WE WRITE BY OURSELVES” (ON THE WORK OF THE MODERATOR)
The present paper is devoted to the moderator’s intellectual work on the international research project “Encyclopedia of flat curves”. A process of creating the so called paper-matrix is described. One unexpected circumstance is brought to light: mainly, the c...
network research project; crowd-sourcing; functions of a project; paper-matrix
CONCURRENT PERPENDICULARS, DETERMINED BY REGULAR POLYGONS
The paper is a secondary student elaboration under the guidance of Assoc. Prof. Veselin Nenkov. It contains new results on the topic, which brought the first award to the authors during the national round of the International competition MITE (Methodology and...
polygon; circle; Euler line; Euler circle; perpendicular; isogonal points
Еducаtionаl Tеchnologiеs
A NEW PROOF OF THE FEUERBACH THEOREM
By using the Paskalev-Tchobanov distance formula, we give a new proof of the famous Feuerbach theorem.
Paskalev-Tchobanov distance formula; Feuerbach theorem
PROBLEM 3 ON THE IMO’2019 PAPER
The aim of the present note is to discuss Problem 3 on the IMO’2019 paper. The \(60^{\text {th }}\) edition of the International Mathematical Olympiad (IMO) took place in the city of Bath, United Kingdom, 11–22 July 2019, with the participation of 621 student...
Olympiad; problem solving; graph; vertex; edge; connectivity; complete graph
THE CHALLENGE – NATIONAL PROGRAM “TRAINING IN IT CAREER”
The article comments the education of secondary school students during their participation in a computer programming course for obtaining the professional qualification “Application programmer”. European and international recommendations for the elaboration of...
education; IT career; application programmer; computer science
USING EDUCATIONAL MOBILE TECHNOLOGIES AND APPLICATIONS – A SURVEY IN TRAKIA UNIVERSITY
The knowledge, readiness and perceptions of the trainees for their possible participation in the process of mobile learning have not been studied so far for the students of Trakia University, Stara Zagora. This paper presents the results of a study on the use...
mobile learning; mobile applications; education; survey
IMPACT ON RESEARCH VISIBILITY USING STRUCTURED DATA AND SOCIAL MEDIA INTEGRATION
The paper presents a study on applicability of structured data (metadata) in increasing of scientific articles’ visibility, published on the Web. The usage of structured data in the description of the scientific content is discussed. The brief analyses of the...
structured data; scientific publishing; metadata schemas; academic publishing systems; social media integration
ON SOME RANDOMIZED ALGORITHMS AND THEIR EVALUATION
The paper considers implementations of some randomized algorithms in connection with a random \(n^{2} \times n^{2}\) Sudoku matrix with the programming language \(\mathrm{C}++\). For this purpose we describe the set \(\Pi_{n}\) of all \((2 n) \times n\) ma...
randomized algorithm; random object; permutation; binary matrix; algorithm evaluation; Sudoku matrix