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Vispārinātie lineārie modeļi skaita tipa datu analīzei
2022
Bakalaura darbs ir veltīts vispārināto lineāro modeļu, kas piemēroti skaita tipa datu analīzei, teorijas apskatam. Darbā apskatīts Puasona regresijas modelis, kā arī modeļi, kas piemēroti pārāk lielas dispersijas gadījumā (kvazi-Puasona un negatīvā binomiālā sadalījuma regresijas modeļi). Skaita tipa datos var būt situācijas, kad liels datu daudzums ir 0, tāpēc šādu datu analīzei aprakstīti īpaši piemēroti modeļi, jo iepriekšminētie modeļi šādiem datiem nevar sniegt korektus novērtējumus. Atsevišķi tika aprakstīta arī empīriskās ticamības funkcijas metode vispārināto lineāro modeļu koeficientu novērtēšanai un ticamības intervālu konstruēšanai, kuru var izmantot Puasona modeļa gadījumā. Darb…
On-chip purification of arc-discharge synthesized multiwalled carbon nanotubes via mobile liquid interface
2017
This thesis reports a novel approach for purification of carbon nanotube (CNT) samples deposited on smooth silicon substrates through a mobile liquid interface interacting with carbonaceous debris particles that contaminate the deposition. The method is based on physical interaction of the particles and the three-phase contact line via capillary interface forces, i.e. the surface tension, which results in the detachment of chemically indispersible colloids from the sample surface. In the experiments reported in this work, we focus primarily on arc-discharge grown multi-walled carbon nanotubes, whose synthesis is particularly plagued by carbonaceous debris that is difficult to remove without h…
Relations between {K, s + 1}-potent matrices and different classes of complex matrices
2013
In this paper, {K,s+1}-potent matrices are considered. A matrix A∈C^(n×n) is called {K,s+1}-potent when K A^(s+1) K = A where K is an involutory matrix and s∈{1,2,3,¿}. Specifically, {K,s+1}-potent matrices are analyzed considering their relations to different classes of complex matrices. These classes of matrices are: {s+1}-generalized projectors, {K}-Hermitian matrices, normal matrices, and matrices B∈C^(n×n) (anti-)commuting with K or such that KB is involutory, Hermitian or normal. In addition, some new relations for K-generalized centrosymmetric matrices have been derived.
Matrices A such that R A = A^{s + 1} R when R^k = I
2013
This paper examines matrices A∈C^(n×n) such that R A = A^(s+1) R where R^k = I, the identity matrix, and where s and k are nonnegative integers with k⩾2. Spectral theory is used to characterize these matrices. The cases s = 0 and s⩾1 are considered separately since they are analyzed by different techniques.
Underground investigation of extensive air showers spectra at high energy range of cosmic rays and other research in the Pyhäsalmi mine
2020
Abstract High energy particles reaching the Earth’s atmosphere are known as cosmic rays. As a result of interactions with nuclei of air molecules, cosmic rays induce showers of secondary particles, which can be divided into 3 components: electromagnetic, hadronic and muonic components. The Experiment with Multi Muon Array (EMMA), located at the depth of 75 m in the Pyhäsalmi mine in Finland, investigates the muonic component of the Extensive Air Showers (EAS) to deduce the direction, energy, and the mass of the primary cosmic ray particles. In this paper we give a concise description and methodology used by EMMA followed by a brief review of the C14 experiment. Finally, we review the feasib…