Teorija mjerenja s primjenama

master's thesis

• Author: Matija Benčić
• Mentor: Lavoslav Čaklović (mentor)
• Committee member: Lavoslav Čaklović (predsjednik povjerenstva)
• Committee member: Tina Bosner (član povjerenstva)
• Committee member: Vedran Krčadinac (član povjerenstva)
• Committee member: Mea Bombardelli (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2017-05-11, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Teorija mjerenja je novija matematička disciplina koja je zaživjela krajem 19. i početkom 20. stoljeća. Bavi se problemom mjerenja veličina zadanog objekta. U ovom radu pokušao sam približiti teoriju mjerenja čitatelju, navesti osnovne probleme s kojima se susrećemo, te njihova rješenja u obliku ideja i teorema. Baviti ćemo se i sa značajnošću izjave vezanih uz rezultat mjerenja. Primjer gdje često griješimo su izjave glede temperature: Danas je duplo toplije nego je bilo jučer. Cilj sa značajnosti izjava je navesti čitatelja na kritičko razmišljanje kod odlučivanja na temelju izjava koje svakodnevno čujemo. Posebnu pozornost posvećujemo ekstenzivnom mjerenju i Hölderovom teoremu. Ekstenzivna mjerenja su osnova za fizička mjerenja i njima smo posvetili cijelo zadnje poglavlje.

Abstract (english)

The theory of measurement is mathematical discipline that came to life in the late 19’th and early 20’th centuries. It deals with the problem of measuring the magnitude of the given object. In this paper, I tried to bring closer the theory of measurement to reader, specify the basic problems we encounter and their solutions in the form of ideas and theorems. We will deal with the meaningfulness of the statement relating to the result of measurement. An example of where mistakes are often made, are statements regarding temperature: Today is two times warmer than it was yesterday. The goal of meaningfulness of statement is to make the reader think critically when deciding on the basis of the statement that we hear every day. Special attention is paid to the extensive measurement and Hölder’s theorem. Extensive measurements are the basis for physical measurements and we have devoted them the entire last chapter.

• Keywords: teorija mjerenja; Hölderov teorem; cilj sa značajnosti izjava
• Keywords (english): theory of measurement; measurement theory; Hölder’s theorem; goal of meaningfulness of statement
• Language: croatian
• URN:NBN: urn:nbn:hr:217:022606
• Study programme: Title: Finance and Business Mathematics; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2017-06-09 09:14:33