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    Wyświetlanie 1-6 z 6
    Tytuł:
    Definability within structures related to Pascal’s triangle modulo an integer
    Autorzy:
    Bès, Alexis
    Korec, Ivan
    Powiązania:
    https://bibliotekanauki.pl/articles/1205362.pdf
    Data publikacji:
    1998
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Pascal's triangle modulo n
    decidability
    definability
    Opis:
    Let Sq denote the set of squares, and let $SQ_n$ be the squaring function restricted to powers of n; let ⊥ denote the coprimeness relation. Let $B_n(x,y)=({x+y \atop x}) MOD n$. For every integer n ≥ 2 addition and multiplication are definable in the structures ⟨ℕ; B_n,⊥⟩ and ⟨ℕ; B_n,Sq⟩; thus their elementary theories are undecidable. On the other hand, for every prime p the elementary theory of ⟨ℕ; B_p,SQ_p⟩ is decidable.
    Źródło:
    Fundamenta Mathematicae; 1998, 156, 2; 111-129
    0016-2736
    Pojawia się w:
    Fundamenta Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Shifted Chebyshev-Lanczos polynomials
    Autorzy:
    Caltenco, J. H.
    López-Bonilla, J.
    Peña-Rivero, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/1177824.pdf
    Data publikacji:
    2018
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    Feigenbaum constant
    Modified Lanczos polynomials
    Pascal triangle
    Opis:
    We show an algorithm for to express in terms of the modified Chebyshev-Lanczos polynomials , which is important to reduce the degree of a polynomial in the interval [0, 1]. Besides, with the use of into logistic map we obtain a simple geometric interpretation of the Feigenbaum´s universal constant.
    Źródło:
    World Scientific News; 2018, 99; 222-226
    2392-2192
    Pojawia się w:
    World Scientific News
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Digital nuclear shell model
    Autorzy:
    Kurić, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/412392.pdf
    Data publikacji:
    2014
    Wydawca:
    Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
    Tematy:
    nuclear physics
    shell model
    magic number of nucleons
    Pascal Triangle
    Opis:
    The subject of this thesis is a digital approach to the investigation of the digital basis of digital nuclear shell model. The shell model is partly analogous to the atomic shell model which describes the arrangement of electrons in an atom, in that a filled shell results in greater stability. When adding nucleons to a nucleus, there are certain points where the binding energy of the next nucleon is significantly less than the last one. Magic numbers of nucleons: 2, 8, 20, 28, 50, 82, 126 which are more tightly bound than the next higher number, is the origin of the shell model. “In a three-dimensional harmonic oscillator the total degeneracy at level n is [wzór]. Due to the spin, the degeneracy is doubled and is (n+1)(n+2). Thus the magic numbers would be [wzór] for all integer k. This gives the following magic numbers: 2,8,20,40,70,112..., which agree with experiment only in the first three entries. These numbers are twice the tetrahedral numbers (1,4,10,20,35,56...) from the Pascal Triangle”. http://en.wikipedia.org/wiki/Nuclear_shell_model. The digital mechanism of shell model have been analyzed by the application of cybernetic methods, information theory and system theory, respectively. This paper is to report that we discovered new methods for development of the new technologies in nuclear physics and chemistry. It is about the most advanced digital technology which is based on program, cybernetics and informational systems and laws. The results in practical application of the new technology could be useful in physics, chemistry, bioinformatics, and other natural sciences.
    Źródło:
    International Letters of Chemistry, Physics and Astronomy; 2014, 13, 2; 160-173
    2299-3843
    Pojawia się w:
    International Letters of Chemistry, Physics and Astronomy
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On useful schema in survival analysis after heart attack
    Autorzy:
    Stępniak, Czesław
    Powiązania:
    https://bibliotekanauki.pl/articles/729744.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    lifetime after heart attack
    distribution
    Fibonacci number
    Lucas number
    Pascal triangle
    Opis:
    Recent model of lifetime after a heart attack involves some integer coefficients. Our goal is to get these coefficients in simple way and transparent form. To this aim we construct a schema according to a rule which combines the ideas used in the Pascal triangle and the generalized Fibonacci and Lucas numbers
    Źródło:
    Discussiones Mathematicae Probability and Statistics; 2014, 34, 1-2; 63-69
    1509-9423
    Pojawia się w:
    Discussiones Mathematicae Probability and Statistics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Performance improvement of a novel zero cross-correlation code using Pascal’s triangle matrix for SAC-OCDMA systems
    Autorzy:
    Driz, Samia
    Fassi, Benattou
    Kandouci, Chahinaz
    Ghali, Fodil
    Powiązania:
    https://bibliotekanauki.pl/articles/2063900.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Stowarzyszenie Elektryków Polskich
    Tematy:
    multiple access interference
    pascal’s triangle matrix
    quality of service
    spectral amplitude coding-optical code division multiple access
    zero cross-correlation
    Opis:
    In order to minimize the receiver complexity and improve the performance of the spectral amplitude coding - optical code division multiple access system, a novel one-dimensional zero cross-correlation code using Pascal’s triangle matrix has been suggested. This research article shows that the position of chip “1” in the code sequences is one of the important factors affecting system performance. In fact, mathematical results show that, for the allwavelength direct detection, it is possible to reduce the number of filters without sacrificing system performance. In addition, compared to one-wavelength direct detection, the signalto-noise ratio value is increased with an increasing weight by using wide-bandwidth filters as decoders. Performance of the proposed system in terms of the minimum bit error rate is validated using the OptiSystem software. Compared with the previous systems at 622 Mbps, the suggested system gave the best values of bit error rate of around 10⁻⁴³, 10⁻³⁵, and 10⁻²⁶ for higher, medium, and lower service demand, respectively.
    Źródło:
    Opto-Electronics Review; 2022, 30, 1; 1--7
    1230-3402
    Pojawia się w:
    Opto-Electronics Review
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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