
Some proposals for the improvement of the methodics of the organization of championships
Author(s) -
M. Stakvilevičius
Publication year - 1969
Publication title -
psichologija
Language(s) - English
Resource type - Journals
eISSN - 2345-0061
pISSN - 1392-0359
DOI - 10.15388/psichol.1969.10.9235
Subject(s) - championship , character (mathematics) , simple (philosophy) , mathematics , class (philosophy) , algebraic number , work (physics) , world championship , combinatorics , mathematical economics , computer science , engineering , mathematical analysis , political science , law , geometry , artificial intelligence , epistemology , mechanical engineering , philosophy
We must look for new schemes of competitions to make championships of sports games help to increase sports progress of pupils maximally. We suggest a model of championship in which the result of each match has a character of probability. In such a case we have a linear system of algebraic equations r_k x_k-∑_(l=1)^(r_k)▒〖x_l=n_k 〗 (r_k – number of matches, x_k – a class, ∑_(l=1)^(r_k)▒x_l – the sum of the rival classes, n_k – a half of gained and lost balls) reflecting the competitions organized according to any scheme. In some cases the system of equations is solved analytically and the results are reduced to simple formulas. We suggest the following methods, illustrated by examples suggested for different championships. The suggested theory might be used by sportsmen and mathematicians in their work after classes.