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1

Substrate temperature effect on the nanoscale multilayer ZnS/Ag/ZnS for heat mirror application

Kavei G., Nikbin S.

Materials Science Poland

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2015

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Vol. 33, No. 4

760--766

EN

Nanoscale multilayers of ZnS/Ag/ZnS were deposited on Corning glass substrates at different substrate temperatures. The depositions were carried out in high vacuum using electron beam deposition technique at 20, 60, 100 and 150 degrees C, respectively. The optical and electrical performance of each single layer and the accomplished ZnS/Ag/ZnS multilayer system were characterized using spectroscopic ellipsometry analysis, XRD and finally AFM. Based on these analyses and associated theories, such as the characteristic matrix theory, the optimized multilayer system was speculated and tested. Crystallographic structures of the films were studied by X-ray diffraction. In addition to X-ray diffraction, morphological characterizations were carried out by AFM in order to observe the deposited particle size, packing and roughness of the films. The optimum performance was achieved at the substrate temperature of 60 degrees C.

2

Statistical Independence and Determinants in a Contingency Table - Interpretation of Pearson Residuals based on Linear Algebra -

Tsumoto S., Hirano S.

Fundamenta Informaticae

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2009

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Vol. 90, nr 3

251-267

EN

This paper analyzes pearson residuals, which is an important element of chi-square test statistic, in a contingency table from the viewpoint of matrix theory as follows. First, a given contingency table is viewed as a matrix and the residual of each element in a matrix are obtained as the difference bewteen observed values and expected values calculated by marginal distributions. Then, each residual σi,j/sub> is decomposed into the linear sum of the 2× 2 subderminants of a original matrix, except for i-th column and j-th row. Furthermore, the number of the determinants is equal to the degree of freedom for the chi-square test statistic for a given contingency table. Thus, 2 × 2 subdeterminants in a contingencymatrix determine the degree of statistical independence of two attributes as elementary granules.

3

Vectors derived from matrix elements and their basic transformations

Wiśniewski Z.

Technical Sciences / University of Warmia and Mazury in Olsztyn

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2002

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nr 5

121-143

EN

Basic relations between vectors derived from matrix elements are presented in this paper. The transformations are carried out with matrices of transformation. The latter are defined using developing operators, proposed in this work. The role of these operators is to perform a unique transformation of a set of matrices into a block matrix. The vectors described here, their transformations and the developing operators can provide a good tool for simplifying numerical operations as well as performing some theoretical analyses.

PL

W pracy wyprowadzono podstawowe relacje między wektorami tworzonymi z elementów macierzy. Przekształcenia wektorów są realizowane za pomocą macierzy przekształceń, które zdefiniowano na podstawie zaproponowanych w tej pracy operatorów rozwijających. Zadaniem tych operatorów są jednoznaczne przekształcenia zbioru macierzy w macierze blokowe. Omawiane w pracy wektory, zaproponowane przekształcenia oraz zdefiniowane operatory rozwijające mogą stanowić narzędzie w istotny sposób upraszczające operacje numeryczne, a także analizy teoretyczne we współczesnych metodach obliczeń.