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7. The Structure of the Block Code Generated by a BL-AlgebraHashem Bordbar, 2022, original scientific article Abstract: Inspired by the concept of BL-algebra as an important part of the ordered algebra, in this paper we investigate the binary block code generated by an arbitrary BL-algebra and study related properties. For this goal, we initiate the study of the BL-function on a nonempty set P based on BL-algebra L, and by using that, l-functions and l-subsets are introduced for the arbitrary element l of a BL-algebra. In addition, by the mean of the l-functions and l-subsets, an equivalence relation on the BL-algebra L is introduced, and using that, the structure of the code generated by an arbitrary BL-algebra is considered. Some related properties (such as the length and the linearity) of the generated code and examples are provided. Moreover, as the main result, we define a new order on the generated code C based on the BL-algebra L, and show that the structures of the BL-algebra with its order and the correspondence generated code with the defined order are the same.
Keywords: BL-function, BL-code, binary linear block codes, coding theory, BL-algebra
Published in RUNG: 07.03.2022; Views: 1036; Downloads: 38
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8. Codes generated by ordered algebraic structuresHashem Bordbar, 2021, published scientific conference contribution abstract Abstract: Error-control codes are used to detect and correct errors that occur when data are trans-mitted across some noisy channel or stored on some medium. The study of error-control codes is called coding theory and emerged in 1948 by Claud Shannon's paper which demonstrated that by proper encoding of the data, errors induced by a noisy channel can be reduced to any desired level without sacrificing the rate of information transmission. Some algebraic structures, includes the study and discovery of various coding schemes, are used to increase the number of errors that can be corrected during data transmission. One of the classes of logical algebra is ordered algebras which were introduced by Imai and Iseki in 1966. In this note, I study the codes generating by the ordered algebraic structures such as BCK-algebras and BL-algebras. For this goal, symmetric rela-tions on these ordered structures facilitate us to design the correspondence codeword. Moreover, I show that the structure of ordered algebra and the code generated by it will be the same.
Keywords: coding theory, BCK-algebra, BL-algebra
Published in RUNG: 20.08.2021; Views: 1426; Downloads: 146
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10. Načrt in prilagoditev e-platforme za izobraževanje študentov tehniških ved z mobilnimi tehnologijamiEva Battistel, 2021, master's thesis Abstract: Uvedba e-izobraževanja s pomočjo sodobne informacijsko komunikacijske tehnologije, ki so jo še pospešila aktualna dogajanja v družbi zaradi pandemije covid-19, prinaša univerzam številne prednosti: manjše stroške, hitrejše in učinkovitejše učenje, urjenje spomina in pridobivanje kompetenc z večpredstavnimi pripomočki. Hkrati prinaša tudi nekaj slabosti: pomanjkanje neposrednega stika in dvosmerne komunikacije z udeleženci, negotovost začetne faze testiranja in uvajanja novih metod dela in poučevanja, povečanje potrebnega časa pred zaslonom.
Namen magistrskega dela je predstaviti področje spletnega izobraževanja v sodobni družbi in pokazati njegovo konkretno uporabnost pri izbranem študijskem predmetu. Motivacija za izbiro te tematike izhaja iz osebnega zanimanja za področje, pa tudi iz potrebe po tečaju za hitro in učinkovito izboljšanje osnovnega znanja in kompetenc iz linearne algebre, ki so jo zasledili na ameriški univerzi iz Los Angelesa.
Delo je potekalo po fazah: izbira ustrezne platforme za e-izobraževanje za predmetne vsebine, sestava tečaja in priprava vsebin, sestava evalvacijskih anket za merjenje uspešnosti programa in analiza povratne informacije študentov o tečaju. Pri izdelavi učnih vsebin za mobilno spletno aplikacijo v okolju Moodle smo uporabili različne metode, ki pritegnejo pozornost uporabnika pri izvedbi tečaja in izboljšajo komunikacijo študent-učitelj. Razvito aplikacijo e-učenja, ki je preprosto uporabna na pametnih mobilnih napravah, smo testno preizkusili na manjši skupini študentov. Na podlagi analize njihovih odgovorov na anketni vprašalnik smo ugotovili, da so študenti z uporabo aplikacije pomembno izboljšali poznavanje osnov iz linearne algebre in opravili tečaj z visoko motiviranostjo in zadovoljstvom.
Keywords: e-izobraževanje, mobilne tehnologije, Moodle, linearna algebra, univerza
Published in RUNG: 01.03.2021; Views: 2273; Downloads: 126
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