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Wyświetlanie 1-9 z 9
Tytuł:
Fibonacci and Lucas Numbers for Real Indices and Some Applications
Autorzy:
Wituła, R.
Powiązania:
https://bibliotekanauki.pl/articles/1493275.pdf
Data publikacji:
2011-10
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.10.Yn
02.10.De
02.50.Cw
Opis:
In this paper the notion of the Fibonacci and Lucas numbers is extended onto real indices. Next, these new numbers are used for calculating real powers of certain matrices. The presented method to the extension of elements of linear recurrence sequence to real indices ought to find practical application in wide understanding metrology and medical diagnostics.
Źródło:
Acta Physica Polonica A; 2011, 120, 4; 755-758
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Shape Limit in Triangular Spiral Tilings
Autorzy:
Sushida, T.
Hizume, A.
Yamagishi, Y.
Powiązania:
https://bibliotekanauki.pl/articles/1203860.pdf
Data publikacji:
2014-08
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.10.De
02.30.Oz
02.40.Pc
87.10.Hk
Opis:
Phyllotaxis is the study of arrangements of leafs and florets. The topology of triangular spiral (multiple) tilings with opposed parastichy pairs is intimately related to the phyllotaxis theory and continued fractions. It is shown that, if the divergence angle of the genetic spiral is given as a quadratic irrational and fixed, then the limit set of the shape parameters of triangular tiles, as the parastichy numbers tend to infinity, is a finite set. In particular, the limit is the golden section if the divergence angle is `ultimately golden'.
Źródło:
Acta Physica Polonica A; 2014, 126, 2; 633-636
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Singularities of Bethe Ansatz via Robinson Numbers
Autorzy:
Koper, A.
Krasoń, P.
Milewski, J.
Powiązania:
https://bibliotekanauki.pl/articles/1030388.pdf
Data publikacji:
2018-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
75.10.Jm
02.40.Xx
02.10.De
85.75.Ff
Opis:
In this work we suggest a rigorous mathematical approach for explanation of singular solutions of Bethe Ansatz by means of Robinson complex hypernumbers. There are several approaches towards these singular solutions eg. formal infinitesimals or germs of meromorphic functions. Our aim is to make them precise using non-standard analysis and show that they are essentially equivalent.
Źródło:
Acta Physica Polonica A; 2018, 133, 3; 438-440
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Magnetic Pentagonal Ring - Galois Extensions and Crystallography
Autorzy:
Labuz, M.
Lulek, T.
Powiązania:
https://bibliotekanauki.pl/articles/1033704.pdf
Data publikacji:
2017-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
75.10.Jm
03.65.Fd
03.67.Lx
02.10.Ud
02.10.De
Opis:
The Galois symmetry of exact Bethe Ansatz eigenstates for magnetic pentagonal ring is shown to bear a close analogy to some crystallographic constructions. Automorphisms of number field extensions associated with these eigenstates prove to be related to choices of the Bravais cells in the finite crystal lattice ℤ₂×ℤ₂, responsible for extension of the cyclotomic field by the Bethe parameters.
Źródło:
Acta Physica Polonica A; 2017, 132, 1; 97-99
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some New Approaches of the XXX Heisenberg Model of the Two-Magnon Sector
Autorzy:
Łabuz, M.
Milewski, J.
Lulek, T.
Powiązania:
https://bibliotekanauki.pl/articles/1030760.pdf
Data publikacji:
2018-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
75.10.Jm
03.65.Fd
03.67.Lx
02.10.Ud
02.10.De
Opis:
XXX Heisenberg s-1/2 model has been examined in detail during last decades, however, recently one may find some new insights into that issue. Among several approaches describing the eigenproblem for the finite case, a close look into the structure of Bethe equations (BE) for the two-magnon sector case seems to be particularly interesting. BE enable us to evaluate parameters labeling eigenstates of a magnet, however to find appropriate sets of winding numbers, which parametrize BE, one has to apply the Inverse Bethe Ansatz method. On the other hand, one may choose a different - combinatoric approach - which also parametrizes Bethe eigenstates, with the use of rigging numbers describing string configurations. We present an idea of comparison of the concepts mentioned above for the particular case of two-spin deviations sector.
Źródło:
Acta Physica Polonica A; 2018, 133, 3; 444-446
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Point Group Interpretation of Galois Symmetry of Bethe Ansatz Solutions of Magnetic Pentagonal Ring
Autorzy:
Lulek, B.
Lulek, T.
Łabuz, M.
Milewski, J.
Powiązania:
https://bibliotekanauki.pl/articles/1385546.pdf
Data publikacji:
2015-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
75.10.Jm
03.65.Fd
03.67.Lx
02.10.Ud
02.10.De
Opis:
Exact solutions of the eigenproblem of the magnetic pentagonal ring exhibit the arithmetic symmetry expressed in terms of a Galois group of a finite extension of the prime field Q of rationals. We propose here a geometric interpretation of this symmetry in the interior of the Brillouin zone, in terms of point groups. Explicitly, it is a subgroup of the direct product C₄ × D₄. We present also the appropriate irreducible representations of the group.
Źródło:
Acta Physica Polonica A; 2015, 127, 2; 336-338
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Heisenberg and Bethe Field Extensions Applied to Magnetic Rings
Autorzy:
Banaszak, G.
Blinkiewicz, D.
Krasoń, P.
Milewski, J.
Powiązania:
https://bibliotekanauki.pl/articles/1030418.pdf
Data publikacji:
2018-03
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
02.10.De
03.65
73.21.-b
75.10.Jm
85.35.Be
89.70.Be
Opis:
We consider striking connections between the theory of homogenous isotropic Heisenberg ring (XXX-model) and algebraic number theory. We explain the nature of these connections especially applications of Galois theory for computation of the spectrum of the Heisenberg operators and Bethe parameters. The solutions of the Heisenberg eigenproblem and Bethe Ansatz generate interesting families of algebraic number fields. Galois theory yields additional symmetries which not only simplify the analysis of the model but may lead to new applications and horizons.
Źródło:
Acta Physica Polonica A; 2018, 133, 3; 441-443
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Mathematical Model for Transporting the Arriving Passengers from the Airport to the City Centre
Autorzy:
Akıncılar, A.
Powiązania:
https://bibliotekanauki.pl/articles/1031853.pdf
Data publikacji:
2017-09
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
89.40.Dd
87.55.de
02.10.Ab
Opis:
In case of considerable traffic congestion in an airport, transportation of passengers to city centre may become a challenging task, since airports are generally located far from the centre. In this study, transportation of passengers, who arrive at an airport, to the city centre has been handled. A mathematical model has been developed, which minimises total costs arising from both, the time passed, while passengers are waiting for a vehicle, and the dispatching of a significant amount of vehicles for transporting the passengers. By utilising the proposed model, in addition to matter of when to dispatch, it is also possible to specify which type of vehicles, and how many of them should be dispatched at each time interval. Ultimately, it is reported that such a plan has a great potential to enhance the productivity.
Źródło:
Acta Physica Polonica A; 2017, 132, 3; 1214-1216
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Idea of the Selection of PZT-Beam Interaction Forces in Active Vibration Protection Problem
Autorzy:
Brański, A.
Borkowski, M.
Szela, S.
Powiązania:
https://bibliotekanauki.pl/articles/1537347.pdf
Data publikacji:
2010-07
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
46.70.De
02.60.Pn
46.40.-f
07.10.Fq
Opis:
The paper concerns an active vibration protection (p-reduction) of the structure. This problem corresponds to the active vibration reduction (a-reduction). The quantity and effectivness of the a-/p- reduction, measured with reduction and effectiveness coefficient respectively, depends on, inter alia, the PZT distribution on the structure subdomains with the largest curvatures (quasi optimal distribution) are considered. The aim of this paper is to determine such interacting forces PZT-structure, assuming QO distribution of PZTs, which maximize the effectiveness of p-reduction. The beam clamped at one end, vibrating separately with first three modes, is chosen as the research object. The interacting forces are searched requiring that the shear force and bending moment at the clamped side are equal to zero. The total p-reduction is achieved for separate modes. Assuming the QO distribution of the PZTs, the best p-effectiveness is achieved. The validation of theoretical considerations is confirmed numerically.
Źródło:
Acta Physica Polonica A; 2010, 118, 1; 17-22
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-9 z 9

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