20.500.12556/DKUM-19206 PROBLEM PRVE ŠTEVKE THE FIRST DIGIT PROBLEM 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 nadaljno razumevanje in razlago tega zakona. V nadaljevanju je opisana statistična razlaga in geometrijska podlaga zakona. Za tem sledi matematična formulacija samega zakona, dokazanega z uporabo Fourierove analize, predstavljene že v tretjem poglavju. 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. problem prve števke naključna spremenljivka enakomerna porazdelitev konvolucija. the first digit problem random variable uniform distribution convolution. true true false [T. Gajšek] Slovenski jezik Angleški jezik Diplomsko delo 2011-06-27 17:14:12 2011-07-07 13:07:06 2022-04-13 15:11:05 2023-12-25 03:11:49 2011 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51(043.2) 18507272 URN:SI:UM:DK:FTCFWMRF UNI_Gajsek_Tatjana_2011.pdf UNI_Gajsek_Tatjana_2011.pdf 1 B4D6AAAD5D964DD81E4A190C82737EAC bea112eb38869ae79a139e6b040085b50aeaf0afc89a51b2fa7074c1f4e128aa 5155eb79-7c05-11eb-bb7a-00155d0001ca 20.500.12556/dkum/11067cba-33cf-489a-b7f1-f9ebb38ce28c https://dk.um.si/Dokument.php?lang=slv&id=23133 Fakulteta za naravoslovje in matematiko 0 0 0