Iskanje po katalogu digitalne knjižnice

Opis: V magistrskem delu obravnavamo kreativnost pri pouku matematike v osnovni šoli. V prvem delu na kratko predstavimo, kaj je kreativnost na splošno, kako jo opredeljujejo nekateri avtorji in kaj za nas pomeni kreativnost. V drugem delu se osredotočamo na kreativnost v matematiki, na načine, kako jo lahko ugotavljamo in katere so tiste karakteristike, ki so za kreativne posameznike značilne. Osrednji del magistrskega dela predstavlja tretji del, kjer navedemo nekatere konkretne primere, s katerimi lahko učitelj spodbuja kreativnost učencev.
Ključne besede: kreativnost, kreativnost v poučevanju matematike, karakteristike kreativnih posameznikov, načini za spodbujanje matematične kreativnosti
Objavljeno v DKUM: 06.10.2017; Ogledov: 2195; Prenosov: 159
Celotno besedilo (2,11 MB)

Opis: Cryptography first appeared approximately four thousand years ago; it has developed and improved throughout history. Cryptography has an important role in the modern world. Cryptography has been a part of our lives for nearly four thousand years; nevertheless, the first book on cryptography did not appear until 1499, when John Tritheim published a collection of codes used in some European courts. Today, cryptography affects us in many seen and unseen forms and shapes. Therefore, I am not surprised to see that it is commonplace in fiction. The purpose of this thesis is not to study the light summer reading that has lately filled the bookshelves, but to systematically research the complexity of cryptography in different literary genres. In The Complexity of Cryptography in Literature, I analyze cryptography in English literature throughout the past two centuries. My thesis is, for many reasons, written in English; the study of English and American Literature, an English speaking mentor and researching literature written in English. Using analysis and synthesis I study two secondary theoretical sources, Codes and Ciphers – A History of Cryptography written by Alexander D'Agapeyeff and Codes, Ciphers and Secret Writing written by Martin Gardner. At the same time I introduce the appropriate terminology which is necessary for further understanding. The thesis summarizes and presents the history of cryptography. The latter is researched using the method of analysis and synthesis in The Code Book by Simon Sing and The Code-Breakers by David Kahn. Using the basic methods and history of cryptography, I will show that many methods of cryptography are described in literature; these are closely related to cryptography’s historical development. Furthermore, I propose that these methods are used in a wide spectra of literary genres; at the same time I will show that mostly simple or simplified methods of cryptography are used in literature; otherwise, they would not be accessible to the average reader. The thesis analyzes the complexity of cryptography in six different works of literature with reference to standard mathematical models of cryptography. I analyze the above mentioned works of literature, and using classification and mathematical methods, I process and present the appearance of cryptography in individual works (the methods and their correctness); then, using historical and comparative methods, I research the relationship between cryptographic methods used in literature and actual historical use of cryptography. Further on, I use various methods (the mathematical method, the method of analysis and synthesis, the method of interpretation, and the descriptive method) to present the complexity of cryptographic methods in literature.
Ključne besede: cryptography, code, cipher, complexity, fiction
Objavljeno v DKUM: 26.08.2016; Ogledov: 2304; Prenosov: 166
Celotno besedilo (2,49 MB)

Opis: V članku predstavljamo kategorijo ▫$mathcal{CU}$▫, kjer so objekti kompaktni metrični prostori ▫$X$▫ morfizmi med njimi pa navzgor polzvezne preslikave iz ▫$X$▫ v ▫$2^Y$▫. Vpeljemo tudi kategorijo ▫$mathcal{ICU}$▫ inverznih zaporedij v ▫$mathcal{CU}$▫. Proučujemo inducirane funkcije med inverznimi limitami kompaktnih metričnih prostorov z navzgor polzveznimi veznimi funkcijami. Podamo kriterije za njihov obstoj in dokažemo imajo pod določenimi pogoji surjektivne grafe. Pokažemo tudi da predpis, ki objektom iz ▫$mathcal{ICU}$▫ priredi njihove inverzne limite, ki so objekti v ▫$mathcal{CU}$▫, morfizmom pa priredi inducirane preslikave ni funktor iz ▫$mathcal{ICU}$▫ v ▫$mathcal{CU}$▫, (je pa temu zelo blizu). Na koncu podamo še uporabno aplikacijo dokazanih rezultatov.
Ključne besede: topologija, inverzne limite, navzgor polzvezne funkcije, inducirane funkcije, inducirani morfizmi, topology, inverse limits, upper semi-continuous functions, induced functions, induced morphisms
Objavljeno v DKUM: 10.07.2015; Ogledov: 1128; Prenosov: 41
Povezava na celotno besedilo

Ključne besede: matematika, topologija, kontinuumi, inverzne limite, navzgor polzvezne večlične funkcije, mathematics, topology, continua, inverse limits, upper semi-continuous set-valued functions
Objavljeno v DKUM: 10.07.2015; Ogledov: 1254; Prenosov: 36
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Ključne besede: matematika, topologija, dimenzija pokrivanja, posplošena krivulja Sierpińskega, univerzalni prostor, Lipscombov univerzalni prostor, vložitev, razširitev, poln metrični prostor, zaprta vložitev, mathematics, topology, covering dimension, embedding, closed embedding, generalized Sierpiński curve, universal space, Lipscomb universal space, complete metric space, extension
Objavljeno v DKUM: 10.07.2015; Ogledov: 1401; Prenosov: 28
Povezava na celotno besedilo