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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Acta mathematica hungarica 61 (1993), S. 21-41 
    ISSN: 1588-2632
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1588-273X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Обобщаются некоторы е недавние результат ы, связанные с поточечным диффере нцированием, введенным Гибсом, Бут цером и Вагнером и предназначенным для почленного дифференцирования р ядов Уолша. Наряду с об общением, целью статьи являетс я дать существенно более простые доказа тельства обобщаемых результатов. Устанавливается, что для рядов Уолша $$\sum\limits_{k = 0}^\infty {a_k w_k (x)} $$ , коэффициенты которы х удовлетворяют условию двоичная дифференци руемость суммы ряда У олша в произвольной точкеx∈(0,1),x≠2−j ,j=1,2,..., эквивалентна сходим ости в этой точке посл едовательности част ичных сумм этой точке последова тельности частичных сумм с номерами 2 n ряда $$\sum\limits_{k = 0}^\infty {ka_k w_k (x)} $$ . Тем самым обобщается теорема Шиппа о почле нном двоичном дифференци ровании ряда Уолша, коэффицие нты которого удовлет воряют условиюka k ↓ 0 приk→∞ приk→∞. Доказывается также, ч то если непрерывная н а (0, 1) функция имеет конечную двоич ную производную всюду, кр оме, быть может, счетно го множества, то она явля ется постоянной. Этот результат обобщ ает теорему Бутцера и Вагнера, где дополнительно предп олагалась непрерывность произ водной.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Acta mathematica hungarica 30 (1977), S. 265-281 
    ISSN: 1588-2632
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 4
    ISSN: 1588-2632
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 5
    ISSN: 1588-2632
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Periodica mathematica Hungarica 13 (1982), S. 71-74 
    ISSN: 1588-2829
    Keywords: Primary 42A56 ; Walsh functions ; dyadic derivatives ; Rademacher functions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We show that in order for a Walsh series to be locally constant it is necessary for certain blocks of that series to sum to zero. As a consequence, we show that a functionf with a somewhat sparse Walsh—Fourier series is necessarily a Walsh polynomial if its strong dyadic derivative is constant on an interval. In particular, if a Rademacher seriesR is strongly dyadically differentiable and if that derivative is constant on any open subset of [0, 1], thenR is a Rademacher polynomial.
    Type of Medium: Electronic Resource
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  • 7
    ISSN: 0021-8995
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: New siloxane-urethane block copolymers were synthesized and the effect of a siloxane moiety on microphase segregation in soft/hard block copolymers was studied by several analytical methods. Scanning electron microscopy/energy dispersive spectroscopy (SEM/EDS) provided topographical and bulk composition information. Electron Spectroscopy for Chemical Analysis (ESCA) provided surface chemical information. Fourier Transform Infrared Spectroscopy (FTIR) provided chemical bond information for the near-surface region. Thermogravimetric Analysis (TGA) provided information concerning the thermal stability of the polymers. Differential Scanning Calorimetry (DSC) provided information on the soft and hard block segments within the polymer. These studies showed that the block copolymer contained and enhanced silicone-containing surface. For films cast on glass, less silicon was detected in the bulk (exposed by physically removing the surface material), and on the backside (glass) of the polymer film, than on the air-exposed surface. Of particular interest is the fact that data also show that the solvents, from which the polymers were cast, have a significant influence on microphase segregation. The films cast from THF have higher silicone concentrations at the surface as compared to polymers cast from DMAC/CH2CL2 or dioxane. © 1993 John Wiley & Sons, Inc.
    Additional Material: 15 Ill.
    Type of Medium: Electronic Resource
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  • 8
    Publication Date: 2019-06-27
    Description: Simulated space environment effects on thermal radiation characteristics of black coatings
    Keywords: THERMODYNAMICS AND COMBUSTION
    Type: NASA-TN-D-4116
    Format: application/pdf
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  • 9
    Publication Date: 2011-08-17
    Description: Tunable diode laser spectroscopy is used to measure the infrared vibration-rotation spectra of the ClO radical. The radical is generated in a flow system where a Cl2-He mixture passes through a microwave discharge to dissociate the Cl2. An O3-O2 mixture from an ozone generator is injected into the system downstream of the microwave discharge where O3 combines with Cl to form ClO. By adjusting the gas flow rates to yield an excess of Cl atoms, all the ozone is combined. ClO concentration is measured with UV absorption at 2577 and 2772 A and a deuterium lamp as a continuous source. Total cell pressure is 5.5 torr. The diode laser spectrometer is calibrated with ammonia lines as a reference where possible. The frequency of vibration-rotation lines is expressed as a function of rotational quantum number, fundamental vibrational frequency, and the rotational constants of the upper and lower vibrational states.
    Keywords: ATOMIC AND MOLECULAR PHYSICS
    Type: Applied Optics; 17; May 1
    Format: text
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  • 10
    Publication Date: 2011-08-16
    Description: High-resolution measurements of SO2 absorption coefficients in the UV are presented in the wavelength interval between 2962 and 3011 A using a frequency-doubled dye laser as the radiation source. These measurements have application to pollution monitoring of SO2 using the differential absorption scattering (DAS) technique. The spectral resolution of the measurements was 0.2 A (determined by the linewidth of the dye laser) and the generated spectra exhibited considerable rotational structure on the (000) double prime to (060) prime, (070) prime, and (080) prime electronic-vibrational transitions. The latter transitions correspond to center wavelengths of 3001.8, 2981.0, and 2962 A, respectively. The laser measurements were obtained with a signal-processing technique which eliminated calibration procedures associated with conventional optical-absorption measurements. Using this technique, the statistical uncertainty associated with measured absorption coefficients has been reduced to less than plus or minus 2% with a wavelength uncertainty of the laser source of plus or minus 0.1 A.
    Keywords: ENVIRONMENT POLLUTION
    Type: Journal of Applied Physics; 46; July 197
    Format: text
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