Page 333 - PowerPoint Presentation

IGRAMO SE DIRIHLEOVIM PRINCIPOM
WE ARE PLAYING WITH PIGEONHOLE’S PRINCIPLE

AUTOR: NIKOLA KRSTIĆ, VII-3, OŠ ,,ALEKSA ŠANTIĆ“, BEOGRAD
MENTOR: VIOLETA KOMNENOVIĆ, diplomirani matematiĉar

REZIME

Do pojave Dirihleovog principa u nekim oblastima matematike postojale su nedoumice i
nedostaci. Posebno su bili izraţeni u rešavanju ,,Logiĉko−kombinatornih“ zadataka.

Kao vrlo specifiĉne oblasti, logika i kombinatorika su traţile da se ovakav princip pokaţe i

dokaţe. Time nam je matematika postala zanimljivija u oblastima koje su za mnoge bile
nedostupne i nezanimljive.

Danas se s lakoćom moţemo igrati Dirihleovim principom. Na taj naĉin nam je

matematika, koje se većina plaši, postala interesantna i dostupna.

Ključne reči: J.P.G.L. Dirihleo, Dirihleov princip, magiĉne figure, geometrija, zeĉevi i

kavezi.

SUMMARY

Until the advent of Pigeonhole’s principle in some areas of mathematics, there were

doubts and weaknesses. They were especially pronounced in the solving ,,logical-

combinatorial"problems.

As a very specific area, logic and combinatory have sought to demonstrate this principle

and to prove him. Thus we become more interesting mathematics in areas that are

unavailable to many and uninteresting.

Today we can easily play with Pigeonhole’s principle. In this way, our math, that most

frightens, becomes interesting and accessible.

Key words: J.P.G.L. Dirichlet, Pigeonhole‟s principle, magic figures, geometry, rabbits

and caves.