Vektorski produkt na RnR^n

U ovom radu govorimo o egzistenciji vektorskog produkta na $\mathbb{R}^n$. Polazeći od definicije i svojstva vektorskog produkta, pokazujemo da tako definiran vektorski produkt postoji na $\mathbb{R}^n$, samo za $n = 0, 1, 3$ i 7. Nadalje, koristeći Hurwitzov teorem, dajemo i alternativni dokaz te tvrdnje. Na kraju, pokazujemo u kojim slučajevima postoji vektorski produkt kao multilinearna funkcija.In this diploma thesis we consider the existence of cross product on $\mathbb{R}^n$. Starting from the definition and properties of cross product, we show that such cross product exists only for $n = 0, 1, 3$ and 7. Furthermore, using the Hurwitz theorem, we give an alternative proof of that claim. Ultimately, we show in which cases does cross product, defined as a multilinear function, exists

If an Incompetent Criminal Defendant Shows That Counsel was Ineffective and Did Not Follow Reasonable Professional Standards, the Conviction Will Be Reversed and Remanded in Order to Provide Further Proceedings on His Competency: Hummel v. Rosemeyer

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The cultural evolution of coinage as an informational system

The invention of coined money significantly changed economic history, by introducing a convenient and universal medium of exchange, whose value is regulated and guaranteed by a political authority. In order to be used as a means of payment, coins need to be recognized as valid and trustworthy. Combining carefully designed material features with inscriptions and images, they form a system of symbols that store and transmit information, primarily of an economic nature. The aim of this thesis was to investigate how coins encode information, and to understand how historical dynamics and human cognition shaped their evolution as an informational system. These questions were explored over three studies. The first study investigated the influence of changing political and economic circumstances in the ancient Mediterranean (7th - 1st ct. BCE) on the informative role of graphic designs as marks of issuing authority and monetary value. The second study discussed the advantages and challenges of digitization, standardization and quantitative approaches to cultural data, with a focus on coin iconography. The third study examined the representation and perception of monetary value in the properties of contemporary coins. This thesis shows how we can examine the structure and evolution of coins within an interdisciplinary framework, using quantitative methods, combined with insights from evolutionary and cognitive anthropology, and information theory. The increasing availability of expertly curated digital collections opens more possibilities for developing quantitative approaches necessary for proper interpretation of the processes which shaped observed patterns in cultural data. The approach taken in this thesis complements the research in numismatics and economic history on the origins and development of coinage, while also highlighting the possibilities of using historical artefacts to study large-scale patterns in the evolution and transmission of cultural traits

Evolution through Creating Unique Value Proposition: The Case of the Business Transformation and Value Proposition Development of Swiss Watchmaking Industry

The project aims to determine how mature, re-identified and transformed industries that have appeared again, consequently create new value proposition on the market rather than simply restore old market positions and offerings. This study examines the case of the Swiss watchmaking as an industry that had gone through turmoil and cycles of re-development and explores content of various sources which can legitimize its changed identity and transformed business model. There are products and industries that returned to the market after experiencing severe challenges and crises; eventually they established new positions. The Swiss watchmaking is an example of such case and by employing qualitative methods, this study provides relevant content analysis to explore how this industry’s transformation and revival process has been determined and regarded in terms of exemplary value proposition development. Statistics for the industry as a whole and for particular brands within the industry were examined and the case has been analyzed through particular theoretical frameworks and relevant sources. Data provided serve as a support to the specific case reflections and theoretical findings. This work contributes to assumptions that old products that return to the market will eventually establish new position by changed approach to the value creation. These results finally provide additional contribution about the relevance of the Swiss watchmaking industry case for the discussions about the need of business model transformation and simultaneous value proposition development as inevitable steps in the evolution process for old re-emerged products or industries

Kryptonesticus deelemanae gen. et sp. nov. (Araneae, Nesticidae), with notes on Mediterranean cave species.

This paper describes and illustrates a new genus and a new species belonging to the family Nesticidae based on morphology and supported by molecular data. The new genus, Kryptonesticus gen. nov., groups eight species spread from Bulgaria and Turkey to Croatia, including Montenegro, Bosnia and Herzegovina and Crete. As a result, seven new combinations are proposed: K. eremita (Simon, 1879) comb. nov., K. arenstorffi (Kulczyński, 1914) comb. nov., K. fagei (Kratochvíl, 1933) comb. nov., K. beroni (Deltshev, 1977) comb. nov., K. beshkovi (Deltshev, 1979) comb. nov., K. henderickxi (Bosselaers, 1998) comb. nov. and K. dimensis (López-Pancorbo, Kunt & Ribera, 2013) comb. nov., all ex Nesticus. Kryptonesticus deelemanae gen. et sp. nov. is described on the basis of both sexes and its phylogenetic relationships with closely related species are discussed based on morphological and molecular data (the cox1, rrn and H3 genes). In addition, the species of this new genus (except for K. eremita) are clear candidates for protection: they have highly restricted ranges and some of them show a high degree of adaptation to the subterranean environment

Vektorski produkt na RnR^n

U ovom radu govorimo o egzistenciji vektorskog produkta na $\mathbb{R}^n$. Polazeći od definicije i svojstva vektorskog produkta, pokazujemo da tako definiran vektorski produkt postoji na $\mathbb{R}^n$, samo za $n = 0, 1, 3$ i 7. Nadalje, koristeći Hurwitzov teorem, dajemo i alternativni dokaz te tvrdnje. Na kraju, pokazujemo u kojim slučajevima postoji vektorski produkt kao multilinearna funkcija.In this diploma thesis we consider the existence of cross product on $\mathbb{R}^n$. Starting from the definition and properties of cross product, we show that such cross product exists only for $n = 0, 1, 3$ and 7. Furthermore, using the Hurwitz theorem, we give an alternative proof of that claim. Ultimately, we show in which cases does cross product, defined as a multilinear function, exists

Vektorski produkt na RnR^n

U ovom radu govorimo o egzistenciji vektorskog produkta na $\mathbb{R}^n$. Polazeći od definicije i svojstva vektorskog produkta, pokazujemo da tako definiran vektorski produkt postoji na $\mathbb{R}^n$, samo za $n = 0, 1, 3$ i 7. Nadalje, koristeći Hurwitzov teorem, dajemo i alternativni dokaz te tvrdnje. Na kraju, pokazujemo u kojim slučajevima postoji vektorski produkt kao multilinearna funkcija.In this diploma thesis we consider the existence of cross product on $\mathbb{R}^n$. Starting from the definition and properties of cross product, we show that such cross product exists only for $n = 0, 1, 3$ and 7. Furthermore, using the Hurwitz theorem, we give an alternative proof of that claim. Ultimately, we show in which cases does cross product, defined as a multilinear function, exists

Doživljajni i emocionalni aspekti najuspješnijih Podravkinih marki

Što daje prednost jednoj marki pred drugom pa makar imale i istu kvalitetu (primjerice pivo ili kava)? Tajna je u emocionalnoj poveznici s potrošačima. Marka nije samo zbir funkcionalnih osobina, već čovjekov osjećaj prema njoj u zapažanju i uporabi, iz čega se stječe iskustvo, percepcija, preferencije. Potrošač uzima funkcionalne koristi kao dane, a doživljaj se odnosi na to kako se marka može inkorporirati u stil života. Kad se uđe u povijest i razvoj poznatijih Podravkinih marki koje su postale pravi brand, onda se otkriva da se odgovor nalazi baš u emocionalnoj poveznici. U ovom prikazu će se navesti spoznaje o tom fenomenu kako bi se i uspjeh Podravkinih marki, koje će ovdje biti prikazane, mogao bolje razumjeti