Paul Erdös i dokazi iz Knjige

U prvom poglavlju ovog diplomskog rada prikazan je život mađarskog matematičara iz 20. stoljeća, Paula Erdösa. U drugom poglavlju rada nalaze se odabrani dokazi iz triju matematičkih područja, teorije brojeve, kombinatorike i teorije grafova. U Teoriji brojeva iznijet je dokaz tvrdnje da je skup prostih brojeva beskonačan i dokaz Bertrandovog postulata. U Kombinatorici je prikazan dokaz Teorema Erdös-Ko-Rado, a u Teoriji grafova dokaz Turánovog teorema i Teorema o prijateljstvu.In the first chapter of this graduate thesis is presented the life of Hungarian mathematician from the 20th century, Paul Erdös. In the second chapter there are selected proofs from three mathematical areas, number theory, combinatorics and graph theory. Section Number theory gives proof of the infinity of primes and proof of Bertrand's postulate. Combinatorics gives proof of Erdös-Ko-Rado theorem and Graph theory gives the proof of Turán's theorem and Friendship Theorem

Construction and representation of identity in autobiographies of Croatian female writers in 19th and 20th century

Povijest autobiografije pratimo još od antike i srednjeg vijeka, međutim teorijska misao o autobiografiji razvila se tek u drugoj polovici 20. stoljeća. Zbog različitih i složenih pojavnosti autobiografije, te problema (ne)odredivosti autobiografije kao žanra, suvremene teorije sklone su je promatrati kao diskurs. Feministička teorija na autobiografiju gleda kao na specifičan diskurs čija je svrha konstituiranje ženskog subjekta. Budući da u hrvatskoj znanstvenoj produkciji dosad nije bilo sustavnijih istraživanja ženskih autobiografija, ova će disertacija na zaokruženom korpusu autobiografskih tekstova hrvatskih književnica nastojati pokazati osnovna obilježja autobiografskog diskursa, tipove autobiografskih subjekata i identiteta, njihovo konstituiranje i reprezentiranje u tekstu te različite politike (samo)predočavanja. Kao kriteriji analize uzet će se naratološke kategorije poput pripovjednog lica, vremena i prostora, zatim tipovi diskursa i stilsko-retoričkog okvira koji se pojavljuju u autobiografijama hrvatskih književnica te postupci autoreferencijalnosti i intertekstualnosti. Analizom i usustavljivanjem dosad slabo istraženog područja ženskih autobiografija u hrvatskoj književnosti nastojat će se dati početni poticaj daljnjim istraživanjima te teme.The history of autobiography dates as far back as antiquity and the Middle Ages, but the theory of autobiography is developed only in the second half of the 20th century. As a result of its different and complex manifestations and of the (im)possibility to define autobiography as a genre, contemporary theories favour the idea of autobiography as a discourse. The feminist theory understands autobiography as a particular discourse that constitutes the female subject. As there have been no systematic and relevant studies of female autobiographies in Croatian science so far, this doctoral thesis will analyse the autobiographies of Croatian female writers who lived and worked in 19th and 20th century and try to show the basic characteristics of the autobiographical discourse, different types of subjects and identities, their constitution and representation in the text, as well as different policies of (self)representation. Criteria of analysis that will be considered: narratological categories such as narrative point of view (firstperson narrative, second-person narrative, third-person narrative), narrative time and space, furthermore types of autobiographical discourse, rhetorical and stylistic figures and conventions and acts of self-reference and intertextuality in autobiographical discourse of Croatian female writers. First criteria – narrative pont of view – shows us that first-person narrative is dominant and considered as usual and expected in the autobiographical discourse. However, in some of the texts analysed there is a tendency to evade the first-person narrative and use other narrative strategies, such as third- and second-person narrative. Such strategies can be interpreted as a sign of the turn in perspective view or narrative model or even experiment and subversion of the autobiographical subject. Second criteria – narrative time – shows us that Croatian female writers dominantly use the chronological approach in writing their autobiographies. One of the dominant characteristics of autobiography is its tendency to retrospective and reminiscence, and most of the texts analysed emphasise the importance of the past and chronological presentation of that past. However, some of the autobiographies show different type of autobiographical discourse, which is rather achronological, discontinuous and incoherent. Third criteria – narrative space – shows us the importance of both geographical and social (cultural) space in autobiographies of Croatian female writers. Most of the authors understand the social space as social construct and they write their autobiographies with the idea of positioning themselves in that social and cultural space. Autobiography is considered to be the type of discourse that allows its subject to position itself into the social, cultural, political sphere of life. Some of the authors emphasise the importance of deconstruction of the dichotomy public/private space, in terms of women's egalitarian participation in the public space and all the practices of social and political life. Fourth criteria – rhetorical and stylistic figures and different types of autobiographical discourses – shows us that Croatian female writers use different and numerous narrative and rhetorical sets and strategies in order to represent their autobiographical identity. There are autobiographies that demonstrate a higher level od literariness, and also those that demonstrate rather factographical or theoretical than literal type of discourse. The corpus shows us some examples of parodical and ironical approach to the autobiographical subject, as well as the multi-discoursive approach to constituting and representing the autobiographical subject. Fifth criteria – acts of self-reference and intertextuality – shows us proneness of Croatian female writers to a particular kind of textual strategies such as referring to the act of writing autobiography and awareness of that act and its subject which is a construct, or rather a product of cultural and linguistic models and narratives. The concept od intertextuality (in Kristeva's sense of the word) is found to be one of the strategies in establishing the dialogue amongst the autobiographical texts writen by Croatian female writers and totality of the cultural text that they refer to. Intertextuality is often actualized by quotation and even self-quoatiton (in such cases in which the author establishes the dialogue with other, non-autobiographical, texts in her literary work). Autobiographies of Croatian female writers show us the tendency of constituting and representing the relational type of autobiographical identity – in most of the texts analysed the emphasis is on the relation towards the world of literature and culture (which is understandable given the professional affiliatiton of the autobiographers). In some cases, the dominant ideology and cultural (literal) model of subject and selfhood is merely reproduced, and in some other cases it is being questioned and subject to criticism. Analysis and systematization of this insufficiently researched domain will hopefully give an initial incentive for the future research of female autobiographies

Paul Erdös i dokazi iz Knjige

U prvom poglavlju ovog diplomskog rada prikazan je život mađarskog matematičara iz 20. stoljeća, Paula Erdösa. U drugom poglavlju rada nalaze se odabrani dokazi iz triju matematičkih područja, teorije brojeve, kombinatorike i teorije grafova. U Teoriji brojeva iznijet je dokaz tvrdnje da je skup prostih brojeva beskonačan i dokaz Bertrandovog postulata. U Kombinatorici je prikazan dokaz Teorema Erdös-Ko-Rado, a u Teoriji grafova dokaz Turánovog teorema i Teorema o prijateljstvu.In the first chapter of this graduate thesis is presented the life of Hungarian mathematician from the 20th century, Paul Erdös. In the second chapter there are selected proofs from three mathematical areas, number theory, combinatorics and graph theory. Section Number theory gives proof of the infinity of primes and proof of Bertrand's postulate. Combinatorics gives proof of Erdös-Ko-Rado theorem and Graph theory gives the proof of Turán's theorem and Friendship Theorem

Lithofacies of Podsusedsko Dolje-Bizek-Ivanec Bistranski area on Medvednica Mt. : master's thesis

Predmet istraživanja ovoga rada su stijene jugozapadnog dijela Medvednice, na području omeđenom trima kamenolomima: Podsusedsko Dolje, Bizek i Ivanec Bistranski. Cilj rada bio je definirati karakteristične litofacijese na istraživanom području. Terenskim istraživanjem i mikropetrografskom analizom izdvojeno je ukupno sedam litofacijesa (trijaski litofacijesi: Litofacijes dolomita (L1) i Litofacijes dolomitnih breča (L2); kredni litofacijesi: Litofacijes karbonatnih klastita (L3); badenski litofacijesi: Litofacijes baznih konglomerata (L4), Litofacijes šupljikavih vapnenaca (litavaca) (L5), Litofacijes litotamnijskih vapnenaca (L6) i Litofacijes glinovitih biokalkarenita (L7). Svi rezultati istraživanja integrirani su u GIS bazu podataka i prikazani na karti litofacijesa istraživanog područja.Abstract: The subject of this thesis were the rocks from the southwestern part of Medvednica Mt. in the area bounded by the position of three quarries: Podsusedsko Dolje, Bizek and Ivanec Bistranski. Main goal of the investigation was to define characteristic lithofacies in the study area. Seven lithofacies were defined by field-work and micropetrographical analysis (Triassic lithofacies: Dolomite lithofacies (L1) and Dolomitic breccia lithofacies (L2); Cretaceous lithofacies: Carbonate clastic lithofacies (L3); and Badenian lithofacies: Basal conglomerate lithofacies (L4), Porous limestone lithofacies (so-called „litavac“) (L5), Lithothamnium limestone lithofacies (L6) and Clayey biocalcarenite lithofacies (L7). All the results are integrated into the GIS database and displayed on a lithofacies map of the study area

THE FEMALE CHARACTERS AND FEMALE IDENTITY IN THE MARIJA JURIĆ ZAGORKA\u27S NOVEL "KAMEN NA CESTI"

Marija Jurić Zagorka često je u svojim romanima prikazivala ženske likove koji propituju temeljne postavke i ograničenja svog identiteta (a posebno rodnog identiteta). Roman "Kamen na cesti," koji je predmetom analize u ovome radu, također na primjeru glavnog ženskog lika otvara nove perspektive u razmatranju kategorija subjekta, identiteta, spola, roda, opreke žensko/muško. Pomoću temeljnih postavki psihoanalitičke i feminističke teorije o razvoju identiteta (a pogotovo kada je riječ o ženskom identitetu u okvirima heteroseksualne matrice) ovaj rad nastoji prikazati kako se u spomenutom romanu konstruira i reprezentira ženski rod i identitet u okvirima društvenog i kulturnog sistema koji ženu svodi na granice privatnog, dok su prostori javnog, društvenog djelovanja rezervirani isključivo za muškarce.In her novels Marija Jurić Zagorka often portrayed female characters who questioned the basic principles and limitations of their identity (of their gender identity in particular). For example, the novel Kamen na cesti, which is under review in this paper, through the main female character opens up new perspectives in analysis of the categories of subject, identity, sex, gender, and female/male antithesis. With the help of the basic tenets of psychoanalytical and feminist theories on the development of identity (in particular when it comes to the female identity within the framework of a heterosexual matrix), the paper attempts to show how the above-mentioned novel develops and represents the female gender and identity in the context of the social and cultural system that reduces the woman to the limits of the private, while the spheres of public, social action are reserved exclusively for men

THE FEMALE CHARACTERS AND FEMALE IDENTITY IN THE MARIJA JURIĆ ZAGORKA\u27S NOVEL "KAMEN NA CESTI"

Marija Jurić Zagorka često je u svojim romanima prikazivala ženske likove koji propituju temeljne postavke i ograničenja svog identiteta (a posebno rodnog identiteta). Roman "Kamen na cesti," koji je predmetom analize u ovome radu, također na primjeru glavnog ženskog lika otvara nove perspektive u razmatranju kategorija subjekta, identiteta, spola, roda, opreke žensko/muško. Pomoću temeljnih postavki psihoanalitičke i feminističke teorije o razvoju identiteta (a pogotovo kada je riječ o ženskom identitetu u okvirima heteroseksualne matrice) ovaj rad nastoji prikazati kako se u spomenutom romanu konstruira i reprezentira ženski rod i identitet u okvirima društvenog i kulturnog sistema koji ženu svodi na granice privatnog, dok su prostori javnog, društvenog djelovanja rezervirani isključivo za muškarce.In her novels Marija Jurić Zagorka often portrayed female characters who questioned the basic principles and limitations of their identity (of their gender identity in particular). For example, the novel Kamen na cesti, which is under review in this paper, through the main female character opens up new perspectives in analysis of the categories of subject, identity, sex, gender, and female/male antithesis. With the help of the basic tenets of psychoanalytical and feminist theories on the development of identity (in particular when it comes to the female identity within the framework of a heterosexual matrix), the paper attempts to show how the above-mentioned novel develops and represents the female gender and identity in the context of the social and cultural system that reduces the woman to the limits of the private, while the spheres of public, social action are reserved exclusively for men

Paul Erdös i dokazi iz Knjige

U prvom poglavlju ovog diplomskog rada prikazan je život mađarskog matematičara iz 20. stoljeća, Paula Erdösa. U drugom poglavlju rada nalaze se odabrani dokazi iz triju matematičkih područja, teorije brojeve, kombinatorike i teorije grafova. U Teoriji brojeva iznijet je dokaz tvrdnje da je skup prostih brojeva beskonačan i dokaz Bertrandovog postulata. U Kombinatorici je prikazan dokaz Teorema Erdös-Ko-Rado, a u Teoriji grafova dokaz Turánovog teorema i Teorema o prijateljstvu.In the first chapter of this graduate thesis is presented the life of Hungarian mathematician from the 20th century, Paul Erdös. In the second chapter there are selected proofs from three mathematical areas, number theory, combinatorics and graph theory. Section Number theory gives proof of the infinity of primes and proof of Bertrand's postulate. Combinatorics gives proof of Erdös-Ko-Rado theorem and Graph theory gives the proof of Turán's theorem and Friendship Theorem

Which Douglas-Fir (Pseudotsuga menziesii (Mirb.) Franco) Provenances Provide the Best Productivity in the Hilly Area of Croatia?

Background and Purpose: Recently raised questions on adaptability of native tree species to climate changes pointed to Douglas-fir as a species suitable for rapid reforestation and increase of stand resistance. The first results on provenance research need to be confirmed in later stages of stand development, so the paper answers the following two questions: (i) are there differences in growth of 14 Douglas-fir provenances still in the fifth decade of stand development, and (ii) which provenances should be used and which omitted from further use in the hilly area of Croatia? Materials and Methods: Productivity of 14 provenances was evaluated on the basis of height, diameter at breast height and volume in the 46th year after planting. Growth dynamics was also statistically analysed using a repeated measure analysis of variance, for which purpose we partially used published data from the 2010. Results: The analysis excluded Castle Rock and Shady Cove (Oregon) provenances due to their low values of all analysed growth indicators, as well as Castle Rock, Elma and Hvidilde provenances due to their high values. Average values of tree volume ranged from 0.53 m3 (Shady Cove) to 2.05 m3 (Castle Rock), while the tallest trees belonged to Elma provenance (29.6 m). Conclusions: Different growth dynamics of provenances were confirmed for later development stage, so further monitoring is still required. Clear guidelines for the selection of provenances for practical forestry distinguish provenances from lower altitudes of the State of Washington, Denmark and Bulgaria as the most productive. Shady Cove and Salmon Arm provenances are not advised to be used in the future

Porezni nadzor i process fiskalizacije u Republici Hrvatskoj : završni rad

Porezni nadzor jedio porezno-pravnog odnosa u kojem Porezna uprava provodi postupak provjere i utvrđivanja činjenica bitnih za oporezivanje kod obveznika i drugih osoba. Mogu se provjeravati jedna ili više vrsta poreza u jednom ili više razdoblja. Porezna evazija predstavlja mehanizam izbjegavanja plaćanja poreza. Fiskalizacija je skup mjera kojima se nadzire gotovinski promet, uvođenje fiskalizacije jedna je od najvažnijih je mjera za borbu protiv utaje poreza. Cilj joj je osigurati stabilno punjenje državnog proračuna, omogućiti smanjenje javnih davanja, razvoj gospodarstva da bi državni aparat mogao funkcionirati. Obveznici fiskalizacije su fizičke osobe koje su obvezne izdavati račune prema Zakonu o porezu na dohodak, Zakonu o porezu na dodanu vrijednost i Općem poreznom zakonu. Pravne osobe obveznici poreza na dobit, te mali obveznici prema paušalnoj svoti. Postoje tri faze fiskalizacije rangirane za velike srednje i male poduzetnike koji moraju ispunjavati minimalno dva od tri uvjeta. Provjera računa se vrši na temelju zaštitnog koda slanjem sms-a. Anketno istraživanje građana o fiskalizaciji Na temelju ovih podataka možemo zaključiti da građani prihvaćaju fiskalizaciju, ali ne vjeruju u njenu potpunu sigurnost.Tax Supervisor has a tax-legal relationship in which the Tax Administration conducts the verification procedure and the determination of the facts relevant to the taxation of taxpayers and other persons. One or more tax types can be checked at one or more periods. Tax evasion is a mechanism for avoiding tax payments. Fiscalization is a set of measures to control cash flow, the introduction of fiscalization is one of the most important measures to combat tax evasion. Its goal is to ensure a stable filling of the state budget, to allow for the reduction of public grants, the development of the economy so that the state apparatus can function. Taxpayers of fiscalization are natural persons who are obliged to issue invoices under the Income Tax Act, the Value Added Tax Act and the General Tax Code. Legal persons are taxpayers, and small taxpayers by lump sum. There are three phases of fiscalization ranked for large medium and small businesses that must meet at least two of the three conditions. Account verification is done based on the security code by sending sms. Citizen Survey on Fiscalization Based on this data we can conclude that citizens accept fiscalization but do not believe in its complete security