Temat: Kronecker matrix product - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Linear model genealogical tree application to an odontology experiment
Autorzy:: Covas, Ricardo
Powiązania:: https://bibliotekanauki.pl/articles/729994.pdf
Data publikacji:: 2007
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: commutative Jordan algebra
binary operations
Kronecker matrix product
lattice
projectors
Opis:: Commutative Jordan algebras play a central part in orthogonal models. We apply the concepts of genealogical tree of an Jordan algebra associated to a linear mixed model in an experiment conducted to study optimal choosing of dentist materials. Apart from the conclusions of the experiment itself, we show how to proceed in order to take advantage of the great possibilities that Jordan algebras and mixed linear models give to practitioners.
Źródło:: Discussiones Mathematicae Probability and Statistics; 2007, 27, 1-2; 47-77
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Evaluation of the thermodynamics of a four level system using canonical density matrix method
Autorzy:: Awoga, O.
Ikot, A.
Ituen, E.
Akpabio, L.
Powiązania:: https://bibliotekanauki.pl/articles/240775.pdf
Data publikacji:: 2012
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: entropia
Iloczynem Kroneckera
macierz gęstości
redukcja
Canonical density matrix
entropy
Kronecker product
Reduced density matrix
Opis:: We consider a four-level system with two subsystems coupled by weak interaction. The system is in thermal equilibrium. The thermodynamics of the system, namely internal energy, free energy, entropy and heat capacity, are evaluated using the canonical density matrix by two methods. First by Kronecker product method and later by treating the subsystems separately and then adding the evaluated thermodynamic properties of each subsystem. It is discovered that both methods yield the same result, the results obey the laws of thermodynamics and are the same as earlier obtained results. The results also show that each level of the subsystems introduces a new degree of freedom and increases the entropy of the entire system. We also found that the four-level system predicts a linear relationship between heat capacity and temperature at very low temperatures just as in metals. Our numerical results show the same trend.
Źródło:: Archives of Thermodynamics; 2012, 33, 4; 91-107
1231-0956
2083-6023
Pojawia się w:: Archives of Thermodynamics
Dostawca treści:: Biblioteka Nauki

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