196,303 research outputs found

    Ramsey numbers and their generalizations

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    This MSc thesis deals with a theory, which comes from combinatorics. According to Ramsey's theorem from 1930 for any natural numbers r, , n there is a smallest natural number m0 such that for every set of size m m0 no matter how we partition its r-element subsets into disjoint classes, we can always find a subset of size n in the original set such that all its r-element subsets belong to the same class. In the case of r = 2 this theory naturally translates from set theory to graph theory. Here the original set is represented by the set of vertices of a complete graph and the 2-element subsets are the edges of the graph. The number of classes is the number of colours with which we colour the edges of the complete graph. In this complete graph we then search for complete subgraphs of defined size n, in which all edges have the same colour or belong to the same class. The numbers m0 are called classic Ramsey numbers. Determining classic Ramsey numbers for complete graphs is still a very intersting topic, but many authors have generalized this basic concept to obtain many different generalizations of Ramsey numbers. As stated, classic Ramsey numbers are sizes of complete graphs in which we colour edges and search for complete subgraphs in one colour. The first reasonable generalization is thus to investigate other standard subgraphs in colourings of edges of complete graphs and in colourings of edges of other standard graphs. In the MSc thesis we begin by introducing the terminology and writing down basics of graph theory needed for the understanding the rest of the thesis. We briefly summarize the basics of Ramsey theory discussed in the authors BSc thesis. We attempt to make our own computer assisted algorithm for discovering Ramsey numbers, with no real attention to optimization and mathematical background of the problem. The main part of the thesis consists of a chronological overview of the investigation and determination of classic Ramsey numbers for two colours, where the different methods that the authors used are also presented. In the last part of thesis we take a look at some results for the classical Ramsey numbers for more colours and present some of the interesting generalizations of Ramsey numbers

    The Phenomenon of Romantic Friendship in Correspondence and Literature in the 19th Century Slovenian Literary Space

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    Magistrsko delo ponuja poglobljen uvid v fenomen romantičnega prijateljstva kot specifične historične institucije s poudarkom na njegovi umeščenosti v slovenski prostor 19. stoletja. Teoretični del magistrske naloge romantično prijateljstvo predstavi v svetovni razsežnosti ter opredeli njegove značilnosti in vzroke formiranja, ga nadalje razčleni po spolnem ključu in nazadnje polemizira različne perspektive, skozi katere je ta fenomen mogoče raziskovati. Osrednji del naloge predstavlja empirični del, v katerem je kvalitativno analiziran nabor korespondenc in leposlovja slovenske inteligence oz. ustvarjalcev in ustvarjalk 19. stoletja. S pomočjo kazalnikov, oblikovanih na podlagi strokovne literature s področja zgodovinopisja in literarne vede, magistrsko delo ugotavlja prisotnost osrednjih elementov romantičnega prijateljstva v korespondencah in leposlovju, jih analizira in primerja z ugotovitvami strokovne literature. Cilj magistrske naloge je dokazati, da je institucija romantičnega prijateljstva močno ukoreninjena tudi v slovensko čustveno krajino 19. stoletja, čeprav se z nekaj izjemami s to tematiko v slovenskem prostoru ni ukvarjal še skorajda nihče.This master\u27s thesis offers a deepened insight into the phenomenon of romantic friendship as a specific historic institution. It emphasises its placement in the 19th century Slovene environment. The theoretical part of the thesis presents the global dimension of romantic friendship and elucidates its characteristics and reasons for its development, it furthermore analyses it according to gender and lastly it discusses various perspectives from which this phenomenon can be researched. Empirical research constitutes the central part of the thesis. This research encompasses a quantitatively analysed set of correspondence and literature by 19th century Slovene intellectuals or authors. With the help of indicators developed on the basis of specialist literature in the fields of history and literary science, this master\u27s thesis establishes the presence of romantic friendship\u27s central elements in correspondence and literature, analyses them and compares to the findings of specialist literature. The goal of this thesis is to prove the embeddedness of romantic friendship in the 19th century Slovene emotional landscape, although few have dealt with this subject in the Slovene literary space

    Ultrasonic welding of the sensor housing and quality assessment of the welded joint

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    S senzorji merimo različne veličine v različnih razmerah. Zvarni spoj ohišja mora biti dovolj kakovosten, da prenese določene obremenitve. V okviru zaključne naloge smo zavarili vzorce ohišja senzorja iz polimera PC-ABS s postopkom ultrazvočnega varjenja. Pri varjenju smo spreminjali nekatere parametre in shranjevali podatke, ki jih je beležila naprava. Po varjenju je sledila vizualna kontrola zvarnih spojev, s katero smo določili napake na zvarih. Ugotovili smo, da odvečni material zaradi dolivka vpliva na kakovost in izgled zvara. Z zmanjšanjem razdalje med varjencema dobimo bolj kakovosten zvar. S kombiniranjem kosov ohišij z različnimi materialnimi lastnostmi in zamenjavo dobimo zvarni spoj z manj napakami.We use sensors to measure different quantities in different conditions. The welded joint of the housing must be of sufficient quality to withstand certain loads. As part of the thesis, we welded the sensor housing samples from PC-ABS polymer by the ultrasonic welding process. During welding, we changed some parameters and stored data recorded by the device. Welding was followed by visual inspection of welded joints, which was used to determine defective welds. We found that the excess material, due to the sprue, affects the quality and appearance of the weld. By reducing the distance between the welding parts, we get a better weld quality. By combining pieces of housings with different material properties and replacement, we obtain a welded joint with fewer defects

    THE INTEGRAL INFORMATION SECURITY OF DATA CENTER IN LARGE BUSSINESS ORGANIZATION

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    Dokument prestavlja osnovno strukturo podatkovnega centra, ki je specializiran prostor za strojno opremo informacijske tehnologije in pomemben porabnik električne energije. Cilj specialistične naloge je predstaviti osnovne zahteve za postavitev podatkovnega centra in načine optimizacije porabe električne energije podatkovnega centra, ki deluje neprekinjeno in generira pomemben del stroškov organizacije. V dokumentu so prikazani različni modeli postavitve podatkovnega centra, njegovega fizičnega prostora, načinov postavitve strojne opreme informacijske tehnologije, načini izvedbe ožičenja in modeli postavitve relevantnega sistema klimatizacije tega specifičnega prostora. Prikazana je standardizacija področja, ki opredeljuje izgradnjo podatkovnih centrov in njihovo delovanje. Predstavljene so osnove zagotavljanja energetske učinkovitosti podatkovnega centra ter podani predlogi za optimizacijo delovanja. Drugi del naloge predstavlja izvedeno anketo o energetski učinkovitosti podatkovnih centrov večjih poslovnih organizacij v Republiki Sloveniji. Anketirane so kompetentne osebe IT sektorjev organizacij, podatki so pridobljeni in obdelani iz prejetih odgovorov. Rezultati ankete izkazujejo, da so organizacije, ki imajo v lasti podatkovne centre, dobro osveščene o pojmu energetske učinkovitosti, vendar upoštevajo različne pristope k njenemu izpolnjevanju. To pomeni, da se na eni strani z energetsko učinkovitostjo zelo natančno ukvarjajo in merijo njene parametre, ali nasprotno, večjo pozornost namenjajo zanesljivosti delovanja podatkovnega centra kot stroškovni optimizaciji. Vendar se vse organizacije zavedajo, da je energetska učinkovitost pomemben faktor njihovih podatkovnih centrov in operativnih stroškovnih planov ter so si enotne, da so zmožne obstoječe stanje energetske učinkovitosti podatkovnih centrov še izboljšati.This document represents the basics for the Data center, i.e. a specialized server room for IT equipment which is very significant factor of power consumption. The objective of this analysis is to represent the main requirements needed to build a Data center following different technical methodsit is the analysis of how to achieve Green IT results, low power consumption and energy optimization which generates regular costs in every active Data center today. At the end of the analysis there is a survey of energy efficiency of Data centers of the IT sector among larger business organisations in the Republic of Slovenia. Data have been processed from information gathered from number of IT experts who have been interviewed in this process. The survey results show that organisations that have their own data centers are well informed about the concept of energy efficiencyhowever, they take into account different approaches of how to enforce it. This means that on the one hand they meet the requirements of energy efficiency. They measure its parameters or contrary to this fact, they pay greater attention to the reliability of the data center rather than implement its cost optimization. However, all of this organisations consider that energy efficiency of data centers is a significant fact of their IT policies and plan costs. What they are all have in common is that the potential of the existing state of the energy efficiency of data centers could be even more optimized
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