Rekurzivnost realnih funkcija

Šore, Ivana (2015) Rekurzivnost realnih funkcija. Diploma thesis, Faculty of Science > Department of Mathematics.

[img]
Preview
PDF
Language: Croatian

Download (312kB) | Preview

Abstract

In this diploma thesis we have studied recursive functions $\mathbb{N}^k \to \mathbb{R}$. The thesis is divided into three chapters. In the first chapter we have defined the notions of a recursive function $\mathbb{N}^k \to \mathbb{N}$, a primitive recursive function and a recursive set and we have studied their properties. In the second chapter we have defined recursive rational functions and we have proved some results regarding these functions. In the third chapter we have defined recursive real functions and related to this we have examined, among others, recursive approximations, a function $\sqrt{f}$ and relation $f(x, y)>0$. We have also defined the notion of a recursive real number and we have proved some claims related to recursive numbers.

Item Type: Thesis (Diploma thesis)
Supervisor: Iljazović, Zvonko
Date: 2015
Number of Pages: 58
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 28 Oct 2015 12:08
Last Modified: 28 Oct 2015 12:08
URI: http://digre.pmf.unizg.hr/id/eprint/4327

Actions (login required)

View Item View Item