Year LVII, Issue 2, 2014<<Archive>>
Еducаtionаl Rеsеаrch
2D ARRAYS: SEARCH ALGORITHMS AND EXPERIMENTS
The paper presents search algorithms applied to 2D partially ordered numeric arrays, i.e. the elements of the arrays are nonincreasing in both row and column. Four existing algorithms are discussed in the text. One of them is the <i>Saddleback algorithm</i...
search in 2D arrays, 2D partially ordered arrays, Saddleback algorithm, empirical analysis
FRACTAL METHODS IN PHYSICS
This article describes the application of fractal geometry in Physics. A method of study of Julia set of transformation of renormalization \(R_{q}(x)=\left(\tfrac{x^{2}+q-1}{2 x+q-2}\right)^{2}\) for \(q=-0,1\) is developed, which coincides with the zero se...
Julia set, renormalization, fixed and critical points, orbit of a point, phase transition
HOMOTHETIC CONICS IN THE PLANE OF A
The present paper considers a method for the classification of the conics in the plane of a triangle into classes of homothetic curves. The classes are determined by the circumscribed conics of the triangle.
triangle, homothety, conic, pole, polar
SOME METHODOLOGICAL GENERALIZATIONS IN THE SOLUTION OF A TYPE OF LINEAR ALGEBRA PROBLEMS
In the present article, on the basis of appropriately selected problems, a general formula for calculating a second-order square matrix to an unspecified power is derived using recurrences. The material concerns methodology with a stress on the consistency...
\(2 \times 2\) matrices, recurrent sequence, characteristic equation, methodology.
Compеtitions аnd Olympiаds
THE “EUROPEAN KANGAROO” COMPETITION FOR STUDENTS WITH VISUAL IMPAIRMENTS
The paper is dedicated to students with visual impairments for their motivation of studying Mathematics by participating in competitions. Basic problems from methodological point of view are considered in connection with a suitable adaptation of corresponding...
students with visual impairments, mathematics, competition, problem solving
ANALYSIS OF PROBLEM SOLVING IN INFORMATICS FOR 12 – 13 YEAR OLD STUDENTS IN BULGARIA
The present study aims at characterizing the solutions of tasks in Informatics from National competitions and Olympiads for Group D students relevant to 6th school grade. The study covers a 10-year-period (2004-2013). An application proposes a classification o...
Olympiad, Informatics, task, classification