376 research outputs found

    Heuristic algorithm for 1D and 2D unfolding

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    A very simple heuristic approach to the unfolding problem will be described. An iterative algorithm starts with an empty histogram and every iteration aims to add one entry to this histogram. The entry to be added is selected according to a criteria which includes a χ2\chi^2 test and a regularization. After a relatively small number of iterations (500 - 1000) the growing reconstructed distribution converges to the true distribution

    A short proof of Stein's universal multiplier theorem

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    We give a short proof of Stein's universal multiplier theorem, purely by probabilistic methods, thus avoiding any use of harmonic analysis techniques (complex interpolation or transference methods)

    Classes of Measures Generated by Capacities

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    We introduce classes of measures in the half-space R+n+1,\mathbf{R}^{n+1}_+, generated by Riesz, or Bessel, or Besov capacities in Rn\mathbf{R}^n, and give a geometric characterization as Carleson-type measures

    DEVELOPMENT OF A METHOD FOR CONTACTLESS TEMPERATURE MEASUREMENT IN 3 SPECTRAL RANGES

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    A 3-spectral method for non-contact temperature measurement has been developed. Three silicon photodiodes were used. The separation of the spectrum is done by optical bandpass filters and beamspliters. It is possible to work in three modes: three-spectral, two-spectral (spectral ratio) and one-spectral. In the first mode, the temperature of objects with an unknown and variable emissivity can be measured. The last two modes give good results respectively for gray bodies and for objects with known emissivity
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