L’histoire a très souvent opposé catholicisme et libéralisme. Tout du moins, les a-telle situés dans deux domaines séparés. Pour autant, cette opposition relève d’une confusion au sujet de la doctrine libérale qui s’en trouve figée dans une conception tronquée. À nos yeux le libéralisme est multiple. S’il convient de parler « des » libéralismes, il reste à penser ce qui les rapproche, la spécificité d’« un » esprit, de « son » esprit. Cette thèse a pour objectif de l’élucider et, pour ce faire, elle établit que le libéralisme dépend d’une conception de l’homme qui trouve sa source en terre chrétienne. En plus de rapporter les principales étapes de l’entrelacement des idées théologiques, philosophiques, économiques et de leur rôle dans la constitution « du » libéralisme, il s’agit donc de porter à la lumière la dépendance d’une doctrine philosophique et économique vis-à-vis d’un principe, « l’être-personne-en-relation », appelé à la féconder. / Catholicism and Liberalism have historically been subject to controversial debate. It’s a matter of fact that these two notions are considered as very different, if not opposed, in most people’s mind. However, this kind of antagonism can be explained by the basic confusion made about the liberal doctrine itself, actually opened to various understandings and that hence to an unrealistic scrutiny. In our opinion, liberalism can be understood as different levels of meanings. The main goal of our work is precisely to define a commune feature between these different opinions by adopting a specific “spirit” that fits with all of these interpretations. This thesis aims to get a better approch, in definig liberalism in generalas the result of a conception that came up in christian countries. In a first step, we have to relate the interlacing of theological, philosophic and economic ideas and their role in the constitution of Liberalism/ how they played a role in the constitution of Liberalism. In addition, it’s a question of putting the light on the dependence of Liberalism towards a concept, “être-personne-en-relation” that is fertilizing the philosophic and economic doctrine.

An important part of mathematics is the construction of good definitions. Some things, like planar graphs, are trivial to define, and other concepts, like compact sets, arise from putting a name on often used requirements (although the notion of compactness has changed over time to be more general). In other cases, such as in set theory, the natural definitions may yield undesired and even contradictory results, and it can be necessary to use a more complicated formalization.    The notion of a curve falls in the latter category. While it is intuitively clear what a curve is – line segments, empty geometric shapes, and squiggles like this: – it is not immediately clear how to make a general definition of curves. Their most obvious characteristic is that they have no width, so one idea may be to view curves as what can be drawn with a thin pen. This definition, however, has the weakness that even such a line has the ability to completely fill a square, making it a bad definition of curves. Today curves are generally defined by the condition of having no width, that is, being one-dimensional, together with the conditions of being compact and connected, to avoid strange cases.    In this thesis we investigate this definition and a few examples of curves.

First, we show that the Rothberger and 2-Rothberger games are equivalent. Then we adjust the former proof and introduce another game, the restricted Menger game, in order to obtain a broader result. This provides an answer in the context of Hausdorff spaces for an open question posed by Aurichi, Bella, and Dias.

La présentation analytique des travaux insiste sur trois points spécifiques. Dans un premier temps, elle revient sur la pertinence de l'individualisme institutionnaliste (Agassi) pour développer des explicaitions en économie et en sciences sociales. Elle détaille ensuite un bilan d'étape sur mes réflexions autour de l'articulation entre individuel et collectif en théorie des organisations. Enfin, elle présente quelques réflexions méthodologique sur la position du chercheur en institution, positionné en particulier au sein de la Défense. Les travaux sont regroupés à partir de trois thèmes: méthodologies individualistes et nature de l'explication en analyse économique ; information, connaissance, compétences et économie de la défense ; organisation industrielle et réseaux de connaissances.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / The present dissertation aims to introduce students to high school useful math concepts connectivity problems using graph theory. After the explanation of basic concepts, we introduce the notion of connectedness, Mengers theorem and we present the theorem of Festinger, which is a useful tool for path counts. We also present an application of these concepts in the analysis of electrical sub-distribution network in the state of Sergipe. Finally we conclude this work by suggesting some didactic sequences for high school students addressing the Euler's theorem for graphs, the themes of connectedness, connectivity, Menger's theorem and the theorem Festinger. / A presente disserta c~ao tem como objetivo apresentar aos alunos do ensino m edio conceitos matem aticos uteis na an alise e resolu c~ao de problemas de conectividade, utilizando teoria dos grafos. Ap os a explana c~ao de conceitos b asicos, introduzimos a no c~ao de conexidade, demonstrando o teorema de Menger e apresentamos o teorema de Festinger, que e uma ferramenta util para contagem de caminhos. Apresentamos tamb em uma aplica c~ao destes conceitos na an alise da rede de subdistribui c~ao el etrica do estado de Sergipe. Ao nal, concluimos o presente trabalho, propondo algumas sequ^encias did aticas para alunos do ensino m edio abordando o teorema de Euler para grafos, os temas sobre conexidade, conectividade, o teorema de Menger e o teorema de Festinger.

<p>U ovoj tezi dokazane su teoreme o nepokretnoj tački koje predstavljaju jednoznačna i vi&scaron;eznačna uop&scaron;tenja Banahovog prin&shy;cipa kontrakcije u verovatnosnim metričkim i fazi metričkim pros&shy;torima. Dokazana je teorema koja predstavlja uop&scaron;tenje teoreme o nepokretnoj tački za verovatnosnu ^-kontrakciju / :&nbsp; S &mdash;* S,gde je&nbsp; ( S ,&nbsp; J7, T ) kompletan Mengerov prostor. Uveden je pojam jake (6n)-kontrakcije i dokazana je teorema koja predstavlja uop&scaron;tenje teoreme Sehgala i Bharuche-Reid kada je preslikavanje / :&nbsp; S &mdash;&gt; S jaka (6n)-kontrakcija. Teorema Caristija, koja predstavlja jedan od najvažnijih rezultata za teoriju nepokretne tačke i nelinearnu analizu uop&scaron;tena je u kompletnom Mengerovom prostoru&nbsp; (S ,&nbsp; F , T ), gde je t-norma&nbsp; T H -tipa. Kako Mengerovi prostori pripadaju klasi kvazi-uniformnih prostora dokazana je teorema o nepokretnoj tački tri preslikavanja u jednoj specijalnoj klasi kvazi-uniformnih prostora. Dokazana je teorema o nepokretnoj tački koja predstavlja verovatnosno uop&scaron;tenje Nadlerove g-kontrakcije za tri preslikavanja kao i uop&scaron;tenje Hiksovog principa kontrakcije za tri preslikavanja. Teorija<br />kontraktora, koju je uveo M. Altman, odnosi se na re&scaron;avanje nelin&shy;earnih operatorskih jednačina u Banahovim prostorima. U tezi su dokazane teoreme koje obezbeđuju postojanje i jedinstvenost re&scaron;enja za nelinearne operatorske jednačine sa jednoznačnim i vi&scaron;eznačnim operatorom u nearhimedovskim Mengerovim verovatnosnim normi&shy; ranim prostorima.</p> / <p>In this thesis fixed point theorems which present singleval&shy;<br />ued and multivalued generalization of Banach contraction principle<br />in probabilistic metric and fuzzy metric spaces are proved. The<br />theorem which presents generalization of fixed point theorem for<br />probabilistic g-contraction / :&nbsp; S &mdash;* S is proved, where ( S ,&nbsp; J7, T ) is<br />complete Menger space. A notion of strong (&pound;&gt;n)-contraction is in&shy;<br />troduced and the theorem which presents a generalization of Sehgal<br />and Bharucha-Raid theorem when the mapping / :&nbsp; S&nbsp; &mdash;&raquo;&nbsp; S is strong<br />(6n)-contraction is proved. Caristi&rsquo;s theorem, which presents one of<br />the most imortant results for the fixed point theorem and nonlinear<br />analysis is generalized in complete Menger space&nbsp; (S, J-, T ), where<br />t-norm&nbsp; T is of&nbsp; H -type. As Menger&rsquo;s spaces belong to the class of<br />quasi-uniformizable spaces, the fixed point theorem for three map&shy;<br />pings in one special class of quasi-uniformizable spaces is proved.<br />The fixed point theorem which presents a probabilistic generaliza&shy;<br />tion of Nadler g-contraction for three mappings is proved as well<br />as the generalization of Hicks&rsquo;s contraction principle for three map&shy;<br />pings. The theory of contractor, which was introduced by M. A lt&shy;<br />man refers to solving nonlinear operator equations in Banach spaces.<br />This thesis proves the theorems which provide the existence and<br />uniqueness of the solutions for nonlinear operator equations with<br />singlevalued and multivalued operators in nonarhimedian Menger&rsquo;s<br />probabilistic normed spaces</p>

No description available.

The research conducted for this thesis seeks to understand issues associated with integrating a direct spread spectrum system (DSSS) transceiver on to a single chip. Various types of sequences, such as Kasami sequences and Gold sequences, are available for use in typical spread spectrum systems. For this thesis, complex spreading sequences (CSS) are used for improved cross-correlation and autocorrelation properties that can be achieved by using such a sequence. While CSS and DSSS are well represented in the existing body of knowledge, and discrete bulky hardware solutions exist – an effort to jointly integrate CSS and DSSS on-chip was identified to be lacking. For this thesis, spread spectrum architecture was implemented focussing on sub-systems that are specific to CSS. This will be the main contribution for this thesis, but the contribution is further appended by various RF design challenges: highspeed requirements make RF circuits sensitive to the effects of parasitics, including parasitic inductance, passive component modelling, as well as signal integrity issues. The integration is first considered more ideally, using mathematical sub-systems, and then later implemented practically using complementary metal-oxide semiconductor (CMOS) technology. The integration involves mixed-signal and radio frequency (RF) design techniques – and final integration involves several specialized analogue sub-systems, such as a class F power amplifier (PA), a low-noise amplifier (LNA), and LC voltage-controlled oscillators (VCOs). The research also considers various issues related to on-chip inductors, and also considers an active inductor implementation as an option for the VCO. With such an inductor a better quality factor is achievable. While some conventional sub-system design techniques are deployed, several modifications are made to adapt a given sub-system to the design requirements for this thesis. The contribution of the research lies in the circuit level modifications done at sub-system level aimed towards eventual integration. For multiple-access communication systems, where a number of independent users are required to share a common channel, the transceiver proposed in this thesis, can contribute towards improved data rate or bit error rate. The design is completed for fabrication in a standard 0.35-μm CMOS process with minimal external components. With an active chip area of about 5 mm2, the simulated transmitter consumes about 250 mW&the receiver consumes about 200 mW. AFRIKAANS : Die navorsing wat vir hierdie tesis onderneem is, beoog om kundigheid op te bou aangaande die kwessies wat met die integrasie van ‘n direkte spreispektrumstelsel (DSSS) sender-ontvanger op ‘n enkele skyfie verband hou. Verskeie tipes sekwensies, soos byvoorbeeld Kasami- en Gold-sekwensies, is vir gebruik in tipiese spreispektrumstelsels beskikbaar. Vir hierdie tesis is komplekse spreisekwensies (KSS) gebruik vir verbeterde kruis- en outokorrelasie-eienskappe wat bereik kan word deur so ‘n sekwensie te gebruik. Alhoewel DSSS en KSS reeds welbekend is, en diskrete hardeware oplossings reeds bestaan, is die vraag na gesamentlike geïntegreerde DSSS en KSS op een vlokkie geïdentifiseer. Vir hierdie tesis is spreispektrumargitektuur aangewend met die klem op KSS substelsels. Dit is dan ook die belangrikste bydrae van hierdie tesis, maar die bydrae gaan verder gepaard met verskeie RF-ontwerpuitdagings: hoëspoed-vereistes maak RF-stroombane sensitief vir die uitwerking van parasitiese komponente, met inbegrip van parasitiese induktansie, passiewe komponentmodellering en ook seinintegriteitskwessies. Die integrasie word eerstens meer idealisties oorweeg deur wiskundige substelsels te gebruik en dan later prakties te implementeer deur komplementêre metaaloksied-halfgeleiertegnologie (CMOS) te gebruik. Die integrasie behels gemengdesein- en radiofrekwensie(RF)-ontwerptegnieke – en finale integrasie behels verskeie gespesialiseerde analoë substelsels soos ‘n klas F-kragversterker (KV), ‘n laeruis-versterker (LRV), en LC-spanningbeheerde ossileerders (SBO’s). Die navorsing oorweeg ook verskeie kwessies in verband met op-skyfie induktors en oorweeg ook ‘n aktiewe induktorimplementering as ‘n opsie vir die SBO. Met sodanige induktor is ‘n beter kwaliteitsfaktor haalbaar. Hoewel enkele konvensionele substelsel-ontwerptegnieke aangewend word, word daar verskeie wysigings aangebring om ‘n gegewe substelsel by die ontwerpvereistes vir hierdie tesis aan te pas. Die bydrae van die navorsing is hoofsaaklik die stroombaanmodifikasies wat gedoen is op substelselvlak om integrasie te vergemaklik. Vir veelvoudige-toegang kommunikasiestelsels waar ‘n aantal onafhanklike gebruikers dieselfde seinkanaal moet deel, kan die sender-ontvanger voorgestel in hierdie tesis meewerk om die datatempo en fouttempo te verbeter. Die ontwerp is voltooi vir vervaardiging in ‘n standaard 0.35-μm CMOS-proses met minimale eksterne komponente. Met ‘n aktiewe skyfie-oppervlakte van ongeveer 5 mm2, verbruik die gesimuleerde sender ongeveer 250 mW en die ontvanger verbruik ongeveer 200 mW. / Thesis (PHD)--University of Pretoria, 2011. / Electrical, Electronic and Computer Engineering / unrestricted

Fractals is a relatively new mathematical topic which received thorough treatment only starting with 1960's. Fractals can be observed everywhere in nature and in day-to-day life. To give a few examples, common fractals are the spiral cactus, the romanesco broccoli, human brain and the outline of the Swedish map. Fractal dimension is a dimension which need not take integer values. In fractal geometry, a fractal dimension is a ratio providing an index of the complexity of fractal pattern with regard to how the local geometry changes with the scale at which it is measured. In recent years, fractal analysis is used increasingly in many areas of engineering and technology. Among others, fractal analysis is used in signal and image compression, computer and video design, neuroscience and fractal based cancer modelling and diagnosing.   This study consists of two main parts. The first part of the study aims to understand the appearance of an irregular Cantor set generated by the chaotic dynamical system generated by the logistic function on the unit interval [0,1]. In order to understand this irregular Cantor set, we studied the topological properties of the Cantor Middle-thirds set and the generalised Cantor sets, all of which have zero length. The necessity to compare these sets with regard to their size led us to the second part of this paper, namely the dimension studies of fractals. More complex fractals were presented in the second part, three definitions of dimension were introduced. The fractal dimension of the irregular Cantor set generated by the logistic mapping was estimated and we found that the Hausdorff dimension has the widest scope and greatest flexibility in the fractal studies. / Fraktaler är ett relativt nytt ämne inom matematik som fick sitt stora genomslag först efter 60-talet.  En fraktal är ett självliknande mönster med struktur i alla skalor. Några vardagliga exempel på fraktaler är spiralkaktus, romanescobroccoli, mänskliga hjärnan, blodkärlen och Sveriges fastlandskust. Bråktalsdimension är en typ av dimension där dimensionsindexet tillåts att anta alla icke-negativa reella tal. Inom fraktalgeometri kan dimensionsindexet betraktas som ett komplexitetsindex av mönstret med avseende på hur den lokala geometrin förändras beroende på vilken skala mönstret betraktas i. Under det senaste decenniet har fraktalanalysen använts alltmer flitigt inom tekniska och vetenskapliga tillämpningar. Bland annat har fraktalanalysen använts i signal- och bildkompression, dator- och videoformgivning, neurovetenskap och fraktalbaserad cancerdiagnos.   Denna studie består av två huvuddelar. Den första delen fokuserar på att förstår hur en fraktal kan uppstå i ett kaotiskt dynamiskt system. För att vara mer specifik studerades den logistiska funktionen och hur denna ickelinjära avbildning genererar en oregelbunden Cantormängd på intervalet [0,1]. Vidare, för att förstå den oregelbundna Cantormängden studerades Cantormängden (eng. the Cantor Middle-Thirds set) och de generaliserade Cantormängderna, vilka alla har noll längd. För att kunna jämföra de olika Cantormängderna med avseende på storlek, leds denna studie vidare till dimensionsanalys av fraktaler som är huvudämnet i den andra delen av denna studie. Olika topologiska fraktaler presenterades, tre olika definitioner av dimension introducerades, bland annat lådräkningsdimensionen och Hausdorffdimensionen. Slutligen approximerades dimensionen av den oregelbundna Cantormängden med hjälp av Hausdorffdimensionen. Denna studie demonstrerar att Hausdorffdimensionen har större omfattning och mer flexibilitet för fraktalstudier.