Temat: multiple power series - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Some gap power series in multidimensional setting
Autorzy:: Siciak, Józef
Powiązania:: https://bibliotekanauki.pl/articles/747302.pdf
Data publikacji:: 2011
Wydawca:: Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:: Plurisubharmonic functions
negligible sets in \(\mathbb{C}^N\)
power series
lacunary power series
multiple power series
Opis:: We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.
Źródło:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2011, 65, 2
0365-1029
2083-7402
Pojawia się w:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Energy-optimal current distribution in an electrical network – controlling by the differential or the integral systems
Autorzy:: Siwczyński, M.
Żaba, S.
Drwal, A.
Powiązania:: https://bibliotekanauki.pl/articles/201855.pdf
Data publikacji:: 2019
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: principle of minimum energy losses
optimal control
suboptimal control
power series
operators of multiple differentiation or integration
decomposition of a rational function
zasada minimalnych strat energii
optymalna kontrola
nieoptymalna kontrola
Opis:: In the complex RLC network, apart from the currents flows arising from the normal laws of Kirchhoff, other distributions of current, resulting from certain optimization criteria, may also be received. This paper is the development of research on distribution that meets the condition of the minimum energy losses within the network called energy-optimal distribution. Optimal distribution is not reachable itself, but in order to trigger it off, it is necessary to introduce the control system in current-dependent voltage sources vector, entered into a mesh set of a complex RLC network. For energy-optimal controlling, to obtain the control operator, the inversion of R(s) operator is required. It is the matrix operator and the dispersive operator (it depends on frequency). Inversion of such operators is inconvenient because it is algorithmically complicated. To avoid this the operator R(s) is replaced by the R’ operator which is a?matrix, but non-dispersive one (it does not depend on s). This type of control is called the suboptimal control. Therefore, it is important to make appropriate selection of the R’ operator and hence the suboptimal control. This article shows how to implement such control through the use of matrix operators of multiple differentiation or integration. The key aspect is the distribution of a single rational function H(s) in a series of ‘s’ or ‘s1’. The paper presents a new way of developing a given, stable rational transmittance with real coefficients in power series of ‘s/s1. The formulas to determine values of series coefficients (with ‘s/s1’) have been shown and the conditions for convergence of differential/integral operators given as series of ‘s/s1’ have been defined.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 3; 613-620
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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