In [1] Amdeberhan and Zeilberger have given a general method, based on WZ theory, for finding rapidly converging series for universal constants. We give another, somewhat different method here. In the form that we shall give to the method, the summand will satisfy a first order homogeneous recurrence but the sum will satisfy a first order inhomogeneous recurrence. What we obtain are remarkable ...

Series acceleration formulas are obtained for Dirichlet series with periodic coefficients. Special cases include Ramanujan’s formula for the values of the Riemann zeta function at the odd positive integers exceeding two, and related formulas for values of Dirichlet L-series and the Lerch zeta function.

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A new simple convergence acceleration method is proposed for a certain wide range class of convergent alternating series. The method has some common features with Smith’s and Ford’s modification of Levin’s and Weniger’s sequence transformations, but it leads to less computational and memory cost. The similarities and differences between all three methods are analyzed and some common theoretical...

1 SUMMARY In this project, we add a limited subset of staged functions to the Spatial hardware accelerator design language. This support includes implementation of language support for staged functions, analyses for optimizing performance and area, and generating synthesizable implementations of these staged functions. We evaluate these additions by comparing the runtime and area of a set of be...

Semi-active base isolation system has been proposed mainly to mitigate the base drift of isolated structures while in most cases, its application causes the maximum acceleration of superstructure to be increased. In this paper, designing optimal semi-active base isolation system composed of linear base isolation system with low damping and magneto-rheological (MR) damper has been studied for co...

according to iranian code of practice for seismic resistant design of buildings standard no. 2800, yazd is located in the place with the medium earthquake hazard [1]. due to the position of yazd with many historical and important buildings, maintaining these traditional heritages is an important task in civil engineering field. on account of these mentioned valuable buildings and region potenti...