Autor: Łagodowski, Zbigniew - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On the necessary condition for Baum-Katz type theorem for non-identically distributed and negatively dependent random fields
Autorzy:: Łagodowski, Zbigniew
Powiązania:: https://bibliotekanauki.pl/articles/747198.pdf
Data publikacji:: 2018
Wydawca:: Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:: Baum-Katz type theorems
complete convergence
negatively dependent random fields
convergence of families indexed by directed sets
metric space
Opis:: Let \(\{ X_{\bf n}, {\bf n}\in \mathbb{N}^d \}\) be a random field of negatively dependent random variables. The complete convergence results for negatively dependent random fields are refined. To obtain the main theorem several lemmas for convergence of families indexed by \(\mathbb{N}^d\) have been proved. Auxiliary lemmas have wider application to study the random walks on the lattice.
Źródło:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2018, 72, 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:: Productivity of a low-budget computer cluster applied to overcome the n-body problem
Autorzy:: Nowicki, Tomasz
Gregosiewicz, Adam
Łagodowski, Zbigniew
Powiązania:: https://bibliotekanauki.pl/articles/1956026.pdf
Data publikacji:: 2021
Wydawca:: Polskie Towarzystwo Promocji Wiedzy
Tematy:: computer clusters
parallel computing
n-body problem
klastry komputerowe
obliczenia równoległe
problem n-body
Opis:: The classical n-body problem in physics addresses the prediction of individual motions of a group of celestial bodies under gravitational forces and has been studied since Isaac Newton formulated his laws. Nowadays the n-body problem has been recognized in many more fields of science and engineering. Each problem of mutual interaction between objects forming a dynamic group is called as the n-body problem. The cost of the direct algorithm for the problem is O(n2) and is not acceptable from the practical point of view. For this reason cheaper algorithms have been developed successfully reducing the cost to O(nln(n)) or even O(n). Because further improvement of the algorithms is unlikely to happen it is the hardware solutions which can still accelerate the calculations. The obvious answer here is a computer cluster that can preform the calculations in parallel. This paper focuses on the performance of a low-budget computer cluster created on ad hoc basis applied to n-body problem calculation. In order to maintain engineering valuable results a real technical issue was selected to study. It was Discrete Vortex Method that is used for simulating air flows. The pre-sented research included writing original computer code, building a computer cluster, preforming simulations and comparing the results.
Źródło:: Applied Computer Science; 2021, 17, 4; 100-109
1895-3735
Pojawia się w:: Applied Computer Science
Dostawca treści:: Biblioteka Nauki

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