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Arambašić, Ljiljana; Zavišić, Ivona
Osječki matematički list, 04/2011, Volume: 10, Issue: 2Paper
Omjer opsega i promjera kružnice je konstantan i jednak je broju $\pi=3.14159...$. Pritom podrazumijevamo da smo opseg i promjer kružnice računali s obzirom na uobičajenu euklidsku metriku. Umjesto nje, možemo promatrati i neke druge metrike na $\R^2$. Promatramo li metrike $d_p$, inducirane $p$-normama, omjer opsega i promjera će i dalje biti konstantan, no njegova vrijednost \' ce se promijeniti. U ovom radu razmatramo $p$-norme i metrike $d_p$ na $\R^2$, te kružnice $S_p$ i brojeve $\pi_p$ s obzirom na ove $p$-norme.
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