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    Wyświetlanie 1-4 z 4
    Tytuł:
    Ingham-Type Inequalities and Riesz Bases of Divided Differences
    Autorzy:
    Avdonin, S.
    Moran, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/908080.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    bazy Riesza
    sterowanie jednoczesne
    simultaneous controllability
    string equation
    beam equation
    Riesz bases
    divided differences
    Opis:
    We study linear combinations of exponentials e^{i lambda_n t}, lambda_n in Lambda in the case where the distance between some points lambda_n tends to zero. We suppose that the sequence Lambda is a finite union of uniformly discrete sequences. In (Avdonin and Ivanov, 2001), necessary and sufficient conditions were given for the family of divided differences of exponentials to form a Riesz basis in space L^2 (0,T). Here we prove that if the upper uniform density of Lambda is less than T/(2 pi), the family of divided differences can be extended to a Riesz basis in L^2 (0,T) by adjoining to {e^{i lambda_n t} } a suitable collection of exponentials. Likewise, if the lower uniform density is greater than T/(2 pi), the family of divided differences can be made into a Riesz basis by removing from {e^{i lambda_n t} } a suitable collection of functions e^{i lambda_n t}. Applications of these results to problems of simultaneous control of elastic strings and beams are given.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 4; 803-820
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Construction of sampling and interpolating sequences for multi-band signals. The two-band case
    Autorzy:
    Avdonin, S.
    Bulanova, A.
    Moran, W.
    Powiązania:
    https://bibliotekanauki.pl/articles/911262.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    próbkowanie
    interpolacja
    bazy Riesza
    równanie Wienera-Hopfa
    sterowanie
    obserwacja
    sampling and interpolation
    multi-band signals
    Riesz bases
    families of exponentials
    Wiener–Hopf equations
    control
    observation
    Opis:
    Recently several papers have related the production of sampling and interpolating sequences for multi-band signals to the solution of certain kinds of Wiener-Hopf equations. Our approach is based on connections between exponential Riesz bases and the controllability of distributed parameter systems. For the case of two-band signals we derive an operator whose invertibility is equivalent to the existence of a sampling and interpolating sequence, and prove the invertibility of this operator.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2007, 17, 2; 143-156
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Functionalization of Gold Nanoparticles for the Detection of Heavy Metals in Contaminated Water Samples in the Province of Tayacaja
    Autorzy:
    Carbajal-Morán, Hipólito
    Rivera-Esteban, Jesús M.
    Aldama-Reyna, Claver W.
    Mejía-Uriarte, Elsi V.
    Powiązania:
    https://bibliotekanauki.pl/articles/2173367.pdf
    Data publikacji:
    2022
    Wydawca:
    Polskie Towarzystwo Inżynierii Ekologicznej
    Tematy:
    functionalisation
    metallic colloid
    AuNps-Cys
    pulsed laser
    water
    heavy metals
    sonication dispersion
    Opis:
    The work consisted in functionalizing gold nanoparticles to analytically detect heavy metals in contaminated water; in Tayacaja-Huancavelica-Peru, using physical method of laser ablation. The 450 mJ/p Nd:YAG was used as a pulsed laser generator for the production of colloids from AuNPs by the top-down approach; the target was a 1 cm x 1.5 cm high purity gold metallic plate with a thickness of 1 mm, inside a 20 ml cuvette of deionized water, containing 5 ml of L-Cysteine ≥ 75% purity. Nanoparticle colloids were characterized by UV-Vis spectroscopy from 200 to 1160 nm range. Using a convex lens, the gold metal plate was ablated by the laser equipment, located 10 cm from the focus; with λ = 1064 nm and λ = 532 nm with energy equivalent to 60.28 mJ/p and 32.99 mJ/p respectively, with a ratio of 2 Hz, for 30 and 60 min. All the samples produced were subjected to the dispersion process by sonication at 40 KHz for one hour. The functionalized nanoparticles presented a resonance displacement of the maximum wavelength peak with respect to the reference at approximately 22.51 nm; consequently, the increase in diameter occurred at 52.10 nm. The sensitive capacity of the functionalized nanoparticles was verified for different concentrations of analytes in water, made up of divalent heavy metal ions Cd2+, Pb2+, and trivalent nonmetal As3+. At a concentration greater than 500 uM, the color of the functionalized nanoparticles turned bluish, due to the presence of positive ions. Therefore, it was stated that the functionalized nanoparticles enable the detection of heavy metals in water by color variation.
    Źródło:
    Journal of Ecological Engineering; 2022, 23, 9; 88--99
    2299-8993
    Pojawia się w:
    Journal of Ecological Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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