The Experts below are selected from a list of 40014 Experts worldwide ranked by ideXlab platform

R K L Su - One of the best experts on this subject based on the ideXlab platform.

Ernst E Scheufens - One of the best experts on this subject based on the ideXlab platform.

  • from fourier series to rapidly convergent series for zeta 3
    Mathematics Magazine, 2011
    Co-Authors: Ernst E Scheufens
    Abstract:

    SummaryExact values of the Riemann zeta function ζ(s) for even values of s can be determined from Fourier series for periodic versions of even power functions, but there is not an Analogous Method for determining exact values of ζ(s) for odd values of s. After giving a brief historical overview of ζ(s) for integer values of s greater than one, and showing how we can determine ζ(2) and ζ(4) from Fourier series, we consider the Fourier series for a continuous and piecewise differentiable odd periodic function from which we can find a series with logarithmic terms for ζ(3). Using power series for logarithmic functions on this series, a rapidly convergent series for ζ(3) is obtained. Using a partial sum of this series we can compute ζ(3) with an error which is much smaller than the error obtained by using a similar partial sum of the infinite series defining ζ(3).

  • From Fourier Series to Rapidly Convergent Series for Zeta(3)
    Mathematics Magazine, 2011
    Co-Authors: Ernst E Scheufens
    Abstract:

    SummaryExact values of the Riemann zeta function ζ(s) for even values of s can be determined from Fourier series for periodic versions of even power functions, but there is not an Analogous Method ...

Sergey Vyazovkin - One of the best experts on this subject based on the ideXlab platform.

  • evaluation of activation energy of thermally stimulated solid state reactions under arbitrary variation of temperature
    Journal of Computational Chemistry, 1997
    Co-Authors: Sergey Vyazovkin
    Abstract:

    The thermal effect of a reaction makes the temperature inside the reaction system deviate from a prescribed heating program. To take into account the effect of such temperature deviations on kinetic evaluations, a computational Method applicable to an arbitrary variation in temperature has been developed. The Method combines the isoconversional principle of evaluating the activation energy with numerical integration of the equation, dα/dt = k[T(t)]f(α), over the actual variation of the temperature with the time, T(t). Details of the numerical algorithm are reported. A model example has been used to verify the reliability of this Method as compared to an Analogous Method which does not account for the deviations of the temperature from a prescribed program. The Method has been tested for tolerance for noise in the temperature. © 1997 by John Wiley & Sons, Inc.

Maarten B Dinger - One of the best experts on this subject based on the ideXlab platform.

  • synthesis and crystal structure of the first complex containing a chelating selenourea dianion ligand
    Inorganica Chimica Acta, 2003
    Co-Authors: William Henderson, Brian K Nicholson, Maarten B Dinger
    Abstract:

    Reaction of N , N ′-diphenylselenourea, PhNHC(Se)NHPh, with cis -[PtCl 2 (PPh 3 ) 2 ] and triethylamine in hot methanol gives the first example of a selenourea dianion complex, [Pt{SeC(NPh)NPh}(PPh 3 ) 2 ] isolated as a yellow solid in high yield. The structure of the complex was determined by X-ray crystallography and found to be similar to the related thiourea dianion complex [Pt{SC(NPh)NPh}(PPh 3 ) 2 ], with a PtSeCN four-membered ring. The antitumour activity (P388 murine leukaemia cells) of the selenourea dianion complex was determined, together with a small selection of related platinum(II)–thiourea dianion complexes (prepared by an Analogous Method) for comparison. The complex [Pt{SC(NMe)NMe}(PPh 3 ) 2 ] showed high activity [IC 50 1.0 μM], with the other complexes showing moderate to low activity.

M. Barnolas - One of the best experts on this subject based on the ideXlab platform.

  • Heavy rain prediction using deterministic and probabilistic models ? the flash flood cases of 11?13 October 2005 in Catalonia (NE Spain)
    Advances in Geosciences, 2007
    Co-Authors: A. Barrera, V. Altava-ortiz, M. C. Llasat, M. Barnolas
    Abstract:

    Between the 11 and 13 October 2005 several flash floods were produced along the coast of Catalonia (NE Spain) due to a significant heavy rainfall event. Maximum rainfall achieved values up to 250 mm in 24 h. The total amount recorded during the event in some places was close to 350 mm. Barcelona city was also in the affected area where high rainfall intensities were registered, but just a few small floods occurred, thanks to the efficient urban drainage system of the city. Two forecasting Methods have been applied in order to evaluate their capability of prediction regarding extreme events: the deterministic MM5 model and a probabilistic model based on the Analogous Method. The MM5 simulation allows analysing accurately the main meteorological features with a high spatial resolution (2 km), like the formation of some convergence lines over the region that partially explains the maximum precipitation location during the event. On the other hand, the Analogous technique shows a good agreement among highest probability values and real affected areas, although a larger pluviometric rainfall database would be needed to improve the results. The comparison between the observed precipitation and from both QPF (quantitative precipitation forecast) Methods shows that the Analogous technique tends to underestimate the rainfall values and the MM5 simulation tends to overestimate them.