Problem prve števke

diplomsko delo

Tatjana Gajšek (Author), Dominik Benkovič (Mentor)

Abstract

V diplomskem delu je predstavljen problem prve števke oziroma Benfordov zakon. V uvodu je predstavljena zgodovina tega problema. Sledita poglavji, v katerih so povzete osnovne verjetnosti in osnove Fourierove analize, ki sta potrebni za nadaljnjo razumevanje in razlago tega zakona. V nadaljevanju je opisana statistična razlaga in geometrijska podlaga zakona. Nato sledi matematična formulacija samega zakona, dokazanega z uporabo Fourierove analize, predstavljene že v tretjem poglavju.

Keywords

matematika;prva števka;problem;spremenljivke;porazdelitev;enakomernost;konvolucija;diplomska dela;

Data

Language:	Slovenian
Year of publishing:	2011
Source:	Maribor
Typology:	2.11 - Undergraduate Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[T. Gajšek]
UDC:	51(043.2)
COBISS:	18507272
Views:	1921
Downloads:	142
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	THE FIRST DIGIT PROBLEM
Secondary abstract:	The graduation thesis presents the first digit problem or Benford's law. At the beginning is represented history of this problem. After introduction chapter followed two chapters about basic facts from probability and Fourier analysis. This facts are important to understand the thesis and further explanation of the law. Next is described statistical derivation and geometric basis of the law. Finally is given a mathematical formulation of the law and it is explained with basic facts from Fourier analysis.
Secondary keywords:	the first digit problem;random variable;uniform distribution;convolution.;
URN:	URN:SI:UM:
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages:	45 f.
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;
ID:	19364