11. The Structure of the Block Code Generated by a BL-AlgebraHashem Bordbar, 2022, izvirni znanstveni članek Opis: 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.
Ključne besede: BL-function, BL-code, binary linear block codes, coding theory, BL-algebra
Objavljeno v RUNG: 07.03.2022; Ogledov: 1536; Prenosov: 43
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12. BCK codesHashem Bordbar, 2022, izvirni znanstveni članek Opis: In this paper, we initiate the study of the notion of the BC K -function on an arbitrary set A, and providing connections with x -functions and x -subsets for x ∈ X where X is a B C K -algebra. Moreover, using the notion of order in a B C K -algebra, the BCK-code C is introduced and besides a new structure of order in C is investigated. Finally, we show that the structure of the B C K -algebra X and the B C K -code C which is generated by X , with their related orders are the same.
Ključne besede: BCK -function, x-functions, x-subsets, BCK -codes, binary linear block codes
Objavljeno v RUNG: 04.01.2022; Ogledov: 1524; Prenosov: 8
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13. N-subalgebras of BCK=BCI-algebras which are induced from hyperfuzzy structuresHashem Bordbar, Mohammad Rahim Bordbar, Rajab Ali Borzooei, Young Bae Jun, 2021, izvirni znanstveni članek Opis: In the paper [J. Ghosh and T.K. Samanta, Hyperfuzzy sets
and hyperfuzzy group, Int. J. Advanced Sci Tech. 41 (2012), 27–37],
Ghosh and Samanta introduced the concept of hyperfuzzy sets as a generalization
of fuzzy sets and interval-valued fuzzy sets and applied it to
group theory. The aim of this manuscript is to study N-structures in
BCK\BCI-algebras induced from hyperfuzzy structures.
Ključne besede: hyperfuzzy set, hyperfuzzy structure, hyperfuzzy subalgebra, N-subalgebra, induced N-function
Objavljeno v RUNG: 03.11.2021; Ogledov: 1653; Prenosov: 42
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17. Interplay among Work Function, electronic structure and stoichiometry in nanostructured VOx films2020, izvirni znanstveni članek Opis: The work function is the parameter of greatest interest in many technological applications involving charge exchange
mechanisms at the interface. The possibility to produce samples with a controlled work function is then particularly
interesting, albeit challenging. We synthetized nanostructured vanadium oxide films by a room temperature Supersonic
Cluster Beam Deposition method, obtaining samples with tunable stoichiometry and work function (3.7-7 eV). We present
an investigation of the electronic structure of several vanadium oxide films as a function of the oxygen content via in-situ
Auger, valence-band photoemission spectroscopy and work function measurements. The experiments probed the partial 3d
density of states, highlighting the presence of strong V3d-O2p and V3d-V4s hybridization which influence 3d occupation. We
show how controlling the stoichiometry of the sample implies control over work function, and that the access to nanoscale
quantum confinement can be exploited to increase the work function of the sample relative to the bulk analogue. In general,
the knowledge of the interplay among work function, electronic structure, and stoichiometry is strategic to match
nanostructured oxides to their target applications
Ključne besede: work function, VOx, Electronic structure, nanostructured films
Objavljeno v RUNG: 24.02.2020; Ogledov: 2626; Prenosov: 0
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18. Do children use language structure to discover the recursive rules of counting?Rose M. Schneider, Jessica Sullivan, Franc Marušič, Rok Žaucer, Priyanka Biswas, Petra Mišmaš, Vesna Plesničar, David Barner, 2020, izvirni znanstveni članek Opis: We test the hypothesis that children acquire knowledge of the successor function — a foundational principle stating that every natural number n has a successor n + 1 — by learning the productive linguistic rules that govern verbal counting. Previous studies report that speakers of languages with less complex count list morphology have greater counting and mathematical knowledge at earlier ages in comparison to speakers of more complex languages (e.g., Miller & Stigler, 1987). Here, we tested whether differences in count list transparency affected children’s acquisition of the successor function in three languages with relatively transparent count lists (Cantonese, Slovenian, and English) and two languages with relatively opaque count lists (Hindi and Gujarati). We measured 3.5- to 6.5-year-old children’s mastery of their count list’s recursive structure with two tasks assessing productive counting, which we then related to a measure of successor function knowledge. While the more opaque languages were associated with lower counting proficiency and successor function task performance in comparison to the more transparent languages, a unique within-language analytic approach revealed a robust relationship between measures of productive counting and successor knowledge in almost every language. We conclude that learning productive rules of counting is a critical step in acquiring knowledge of recursive successor function across languages, and that the timeline for this learning varies as a function of count list transparency.
Ključne besede: Cross-linguistic
Count list
Successor function
Natural number concepts
Number acquisition
Conceptual development
Objavljeno v RUNG: 05.01.2020; Ogledov: 3327; Prenosov: 0
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19. Vati, Kedumetse; Székelyhidi, László, Moment functions on hypergroup joins. Adv. Pure Appl. Math. 10 (2019), no. 3, 215–220.Irina Elena Cristea, 2019, recenzija, prikaz knjige, kritika Ključne besede: hypergroup, continuous function, moment function of order k
Objavljeno v RUNG: 20.12.2019; Ogledov: 3130; Prenosov: 0
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20. Fechner, Zywilla (D-ULM-MFN) ; Szekelyhidi, Laszlo (H-LAJO-IM) Sine functions on hypergroups.(English summary) Arch. Math. (Basel) 106 (2016), no. 4, 371 - 382.Irina Elena Cristea, 2017, recenzija, prikaz knjige, kritika Ključne besede: sine function, cosine function, locally compact hypergroup, functional equations on hypergroups
Objavljeno v RUNG: 27.02.2017; Ogledov: 4253; Prenosov: 0
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