Zobrazeno 1 - 10 of 24 pro vyhledávání: '"Szymon Łukaszyk"'
1
Akademický článek
Next-Generation Blockchain Technology: The Entropic Blockchain
Autor: Melvin M. Vopson, Serban G. Lepadatu, Anna Vopson, Szymon Łukaszyk
Publikováno v: Applied Sciences, Vol 14, Iss 14, p 6297 (2024)
The storage, transmission, and processing of data become significant problems when large digital data files or databases are involved, as in the case of decentralized online global databases such as blockchain. Here, we propose a novel method that al
Externí odkaz: https://doaj.org/article/e24d56d4a57946019c6bd054bd802bf1
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2
Akademický článek
Assembly Theory of Binary Messages
Autor: Szymon Łukaszyk, Wawrzyniec Bieniawski
Publikováno v: Mathematics, Vol 12, Iss 10, p 1600 (2024)
Using assembly theory, we investigate the assembly pathways of binary strings (bitstrings) of length N formed by joining bits present in the assembly pool and the bitstrings that entered the pool as a result of previous joining operations. We show th
Externí odkaz: https://doaj.org/article/850ef7cac1a949d38781525e41b34339
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3
Akademický článek
Omnidimensional Convex Polytopes
Autor: Szymon Łukaszyk, Andrzej Tomski
Publikováno v: Symmetry, Vol 15, Iss 3, p 755 (2023)
The study shows that the volumes and surfaces of n-balls, n-simplices, and n-orthoplices are holomorphic functions of n, which makes those objects omnidimensional, that is well defined in any complex dimension. Applications of these formulas to the o
Externí odkaz: https://doaj.org/article/93f04848665b402d991e16c1f275a5b1
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4
Akademický článek
Novel Recurrence Relations for Volumes and Surfaces of n-Balls, Regular n-Simplices, and n-Orthoplices in Real Dimensions
Autor: Szymon Łukaszyk
Publikováno v: Mathematics, Vol 10, Iss 13, p 2212 (2022)
This study examines n-balls, n-simplices, and n-orthoplices in real dimensions using novel recurrence relations that remove the indefiniteness present in known formulas. They show that in the negative, integer dimensions, the volumes of n-balls are z
Externí odkaz: https://doaj.org/article/16df770d99fd4bc8a697ba94f8dad5d3
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9
Volumes and surfaces of $n$-simplices, $n$-orthoplices, $n$-cubes, and $n$-balls are holomorphic functions of $n$, which makes those objects omnidimensional
Autor: Szymon Łukaszyk
The study shows that the volumes and surfaces of the $n$-simplices, $n$-orthoplices, $n$-cubes, and $n$-balls are holomorphic functions of $n$, which makes those objects omnidimensional. Furthermore, the volume of an $n$-simplex is shown to be a biva
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f56772d384f8e393659c96966cbe169
https://doi.org/10.20944/preprints202209.0089.v5
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10
Graphene Introduces the Second Negative Fine Structure Constant and the Imaginary Set of Base Planck Units
Autor: Szymon Łukaszyk
The reflectance $R$ of monolayer graphene for the normal incidence of electromagnetic radiation is known to be remarkably defined only by $\pi$ and the fine-structure constant $\alpha$. It is shown in this paper that the reflectance (or the sum of tr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b83ef8f24fe6142847de25c68a483037
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