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  • ATOMIC AND MOLECULAR PHYSICS  (1)
  • dyadic derivatives  (1)
  • 1
    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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  • 2
    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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