http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/108 Tue, 19 May 2026 00:15:29 GMT 2026-05-19T00:15:29Z http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/11960 Title: The extreme value of local dimension of convolution of the cantor measure Authors: Vu, Thi Hong Thanh; et al. Abstract: Let $\mu$ be the $m-$fold convolution of the standard Cantor measure and $\underline{\alpha}_m$ be the lower extreme value of the local dimension of the measure $\mu$. The values of $\underline{\alpha}_m$ for $m=2,3,4$ were showed in [4] and [5]. In this paper, we show that $$\underline{\alpha}_5=|\frac{\log \big[\frac{2}{3.2^5}\big(\sqrt{145}\cos(\frac{\arccos\frac{427}{59\sqrt{145}}}{3})+5\big)\big]}{\log 3}|\approx 0.972638.$$ This values was estimated by P. Shmerkin in [5], but it has not been proved. Thu, 01 Jan 2009 00:00:00 GMT http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/11960 2009-01-01T00:00:00Z http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/11643 Title: Survey of WO3 thin film structure built on ito/glass substrates by the Raman and xrd spectroscopies Authors: Le, Van Ngoc; et al. Abstract: Tungsten oxide film was deposited on ITO-coated glass by using RF magnetron sputtering method from WO3 ceramic target. Thin film preparation – process took place in Ar + O2 plasma. The dependence of tungsten oxide film structure on experiment conditions was investigated by X-ray diffraction (XRD) Raman spectroscopy. In this paper, we considered that the thickness of ITO layers about 150nm to 350nm clearly effects on the Raman and XRD spectrograms of WO3 films. Thu, 01 Jan 2009 00:00:00 GMT http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/11643 2009-01-01T00:00:00Z http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/11613 Title: The total specialization of modules over a local ring Authors: Dao, Ngoc Minh; Dam, Van Nhi Abstract: In this paper we introduce the total specialization of an finitely generated module over local ring. This total specialization preserves the Cohen-Macaulayness, the Gorensteiness and Buchsbaumness of a module. The length and multiplicity of a module are studied. Thu, 01 Jan 2009 00:00:00 GMT http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/11613 2009-01-01T00:00:00Z http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/11604 Title: Proper orthogonal decomposition and recent advanced topics in wind engineering Authors: Le, Thai Hoa Abstract: Proper Orthogonal Decomposition and its Proper Transformations has been applied widely in many engineering topics including the wind engineering recently due to its advantage of optimum approximation of multi-variate random fields using the modal decomposition and limited number of dominantly orthogonal eigenvectors. This paper will present fundamentals of the Proper Orthogonal Decomposition and its Proper Transformations in both the time domain and the frequency domain based on both covariances matrix and cross spectral matrix branches. Moreover, the most recent topics and applications of the Proper Orthogonal Decomposition and its Proper Transformation in the wind engineering will be emphasized and discussed in this paper as follows: (1) Analysis and synthesis, identification of the multi-variate dynamic pressure fields; (2) Digital simulation of the multi-variate random turbulent wind fields and (3) Stochastic response prediction of structures due to the turbulent wind flows. All applications of the Proper Orthogonal Decomposition and its Proper Transformations will be investigated under numerical examples, especially will be formulated in both time domain and the frequency domain. Thu, 01 Jan 2009 00:00:00 GMT http://tainguyenso.vnu.edu.vn/jspui/handle/123456789/11604 2009-01-01T00:00:00Z