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SUBSTITUTION OPERATORS IN THE SPACES OF FUNCTIONS OF BOUNDED VARIATION BVα2 (I)
Wadie Aziz,Jos´e Atilio Guerrero,Nelson Merentes 대한수학회 2015 대한수학회보 Vol.52 No.2
The space BVα2 (I) of all the real functions defined on interval I = [a, b] ⊂ R, which are of bounded second α-variation (in the sense De la Vall´e Poussin) on I forms a Banach space. In this space we define an operator of substitution H generated by a function h : I × R → R, and prove, in particular, that if H maps BVα2 (I) into itself and is globally Lipschitz or uniformly continuous, then h is an affine function with respect to the second variable.
SUBSTITUTION OPERATORS IN THE SPACES OF FUNCTIONS OF BOUNDED VARIATION BV<sup>2</sup><sub>α</sub>(I)
Aziz, Wadie,Guerrero, Jose Atilio,Merentes, Nelson Korean Mathematical Society 2015 대한수학회보 Vol.52 No.2
The space $BV^2_{\alpha}(I)$ of all the real functions defined on interval $I=[a,b]{\subset}\mathbb{R}$, which are of bounded second ${\alpha}$-variation (in the sense De la Vall$\acute{e}$ Poussin) on I forms a Banach space. In this space we define an operator of substitution H generated by a function $h:I{\times}\mathbb{R}{\rightarrow}\mathbb{R}$, and prove, in particular, that if H maps $BV^2_{\alpha}(I)$ into itself and is globally Lipschitz or uniformly continuous, then h is an affine function with respect to the second variable.
Glazowska, Dorota,Guerrero, Jose Atilio,Matkowski, Janusz,Merentes, Nelson Korean Mathematical Society 2013 대한수학회보 Vol.50 No.2
We prove, under some general assumptions, that a generator of any uniformly bounded Nemytskij operator, mapping a subset of space of functions of bounded variation in the sense of Wiener-Young into another space of this type, must be an affine function with respect to the second variable.
Ad-Hoc Behavior in Opportunistic Radio
Shahid Mumtaz,Paulo Marques,Atilio Gameiro,Jonathan Rodriguez 한국통신학회 2009 Journal of communications and networks Vol.11 No.2
The application of mathematical analysis to the study of wireless ad hoc networks has met with limited success due to the complexity of mobility, traffic models and the dynamic topology. A scenario based universal mobile telecommunications system (UMTS) time division duplex (TDD) opportunistic cellular system with an ad hoc behaviour that operates over UMTS frequency division duplex (FDD) licensed cellular network is considered. In this paper, we present a new routing metric which overall improves system performance in terms of interference and routing which operate in an ad hoc network in an opportunistic manner. Therefore we develop a simulation tool that addresses the goal of analysis and assessment of UMTS TDD opportunistic radio system with ad hoc behavior in coexistence with a UMTS FDD primary cellular networks.
( Vanessa Sayuri Sato ),( Joao Atilio Jorge ),( Wanderley Pereira Oliveira ),( Claudia Regina Fernandes Souza ),( Luis Henrique Souza Guimaraes ) 한국미생물 · 생명공학회 2014 Journal of microbiology and biotechnology Vol.24 No.2
Microbial phytases are enzymes with biotechnological interest for the feed industry. In this article, the effect of spray-drying conditions on the stability and activity of extracellular phytase produced by R. microsporus var. microsporus biofilm is described. The phytase was spray-dried in the presence of starch, corn meal (>150 μm), soy bean meal (SB), corn meal (<150 μm) (CM), and maltodextrin as drying adjuvants. The residual enzyme activity after drying ranged from 10.7% to 60.4%, with SB and CM standing out as stabilizing agents. Water concentration and residual enzyme activity were determined in obtained powders as a function of the drying condition. When exposed to different pH values, the SB and CM products were stable, with residual activity above 50% in the pH range from 4.5 to 8.5 for 60 min. The use of CM as drying adjuvant promoted the best retention of enzymatic activity compared with SB. Spray drying of the R. microsporus var. microsporus phytase using different drying adjuvants showed interesting results, being quite feasible with regards their biotechnological applications, especially for poultry diets.
Dorota G lazowska,Jos\'e Atilio Guerrero,Janusz Matkowski,Nelson Merentes 대한수학회 2013 대한수학회보 Vol.50 No.2
We prove, under some general assumptions, that a generator of any uniformly bounded Nemytskij operator, mapping a subset of space of functions of bounded variation in the sense of Wiener-Young into another space of this type, must be an affine function with respect to the second variable.
Ad-Hoc Behavior in Opportunistic Radio
Mumtaz, Shahid,Marques, Paulo,Gameiro, Atilio,Rodriguez, Jonathan The Korea Institute of Information and Commucation 2009 Journal of communications and networks Vol.11 No.2
The application of mathematical analysis to the study of wireless ad hoc networks has met with limited success due to the complexity of mobility, traffic models and the dynamic topology. A scenario based universal mobile telecommunications system (UMTS) time division duplex (TDD) opportunistic cellular system with an ad hoc behaviour that operates over UMTS frequency division duplex (FDD) licensed cellular network is considered. In this paper, we present a new routing metric which overall improves system performance in terms of interference and routing which operate in an ad hoc network in an opportunistic manner. Therefore we develop a simulation tool that addresses the goal of analysis and assessment of UMTS TDD opportunistic radio system with ad hoc behavior in coexistence with a UMTS FDD primary cellular networks.
Biochemical Properties of an Extracellular Trehalase from Malbranchea pulchella var. Sulfurea
Marita Gimenez Pereira,Luis Henrique Souza Guimarães,Rosa Prazeres Melo Furriel,Maria de Lourdes,Hector Francisco Terenzi,Joao Atilio Jorge 한국미생물학회 2011 The journal of microbiology Vol.49 No.5
The thermophilic fungus Malbranchea pulchella var. sulfurea produced good amounts of extracellular trehalase activity when grown for long periods on starch, maltose or glucose as the main carbon source. Studies with young cultures suggested that the main role of the extracellular acid trehalase is utilizing trehalose as a carbon source. The specific activity of the purified enzyme in the presence of manganese (680 U/mg protein) was comparable to that of other thermophilic fungi enzymes, but many times higher than the values reported for trehalases from other microbial sources. The apparent molecular mass of the native enzyme was estimated to be 104 kDa by gel filtration and 52 kDa by SDS-PAGE, suggesting that the enzyme was composed by two subunits. The carbohydrate content of the purified enzyme was estimated to be 19% and the pI was 3.5. The optimum pH and temperature were 5.0-5.5 and 55°C, respectively. The purified enzyme was stimulated by manganese and inhibited by calcium ions, and insensitive to ATP and ADP, and 1 mM silver ions. The apparent K_M values for trehalose hydrolysis by the purified enzyme in the absence and presence of manganese chloride were 2.70±0.29 and 2.58±0.13 mM, respectively. Manganese ions affected only the apparent V_(max), increasing the catalytic efficiency value by 9.2-fold. The results reported herein indicate that Malbranchea pulchella produces a trehalase with mixed biochemical properties, different from the conventional acid and neutral enzymes and also from trehalases from other thermophilic fungi.
Transmission Techniques for Downlink Multi-Antenna MC-CDMA Systems in a Beyond-3G Context
Portier Fabrice,Raos Ivana,Silva Adao,Baudais Jean-Yves,Helard Jean-Francois,Gameiro Atilio,Zazo Santiago The Korea Institute of Information and Commucation 2005 Journal of communications and networks Vol.7 No.2
The combination of multiple antennas and multi-carrier code division multiple-access (MC-CDMA) is a strong candidate for the downlink of the next generation mobile communications. The study of such systems in scenarios that model real-life trans-missions is an additional step towards an optimized achievement. We consider a realistic MIMO channel with two or four transmit antennas and up to two receive antennas, and channel state information (CSI) mismatches. Depending on the mobile terminal (MT) class, its number of antennas or complexity allowed, different data-rates are proposed with turbo-coding and asymptotic spectral efficiencies from 1 to 4.5 bit/s/Hz, using three algorithms developed within the European IST-MATRICE project. These algorithms can be classified according to the degree of CSI at base-station (BS): i) Transmit space-frequency prefiltering based on constrained zero-forcing algorithm with complete CSI at BS; ii) transmit beamforming based on spatial correlation matrix estimation from partial CSI at BS; iii) orthogonal space-time block coding based on Alamouti scheme without CSI at BS. All presented schemes require a reasonable complexity at MT, and are compatible with a single-antenna receiver. A choice between these algorithms is proposed in order to significantly improve the performance of MC-CDMA and to cover the different environments considered for the next generation cellular systems. For beyond-3G, we propose prefiltering for indoor and pedestrian microcell environments, beamforming for suburban macrocells including high-speed train, and space-time coding for urban conditions with moderate to high speeds.