This paper presents a method to improve the calculation of functions which specially demand a great amount of computing resources. The method is based on the choice of a weighted primitive which enables the calculation of function values under the scope of a recursive operation. When tackling the design level, the method shows suitable for developing a processor which achieves a satisfying trad...

Using the operational matrix of an orthogonal function to perform integration for solving, identifying and optimizing a linear dynamic system has several advantages: (1) the method is computer oriented, thus solving higher order differential equation becomes a matter of dimension increasing; (2) the solution is a multiresolution type; (3) the answer is convergent, even the size of increment is ...

An efficient approach to the design of a VLSI array for a prime-length type III generalized discrete Hartley transform (GDHT) is presented. The design makes use of an appropriate decomposition of the GDHT into two half-length circular correlation structures having the same length and form that can be concurrently computed and implemented on a single linear systolic array using some of the known...

An algorithm based on Fast Hartley Transform (FHT) that uses a digital voltmeter for measuring the harmonic parameters of low-frequency signals with negligible leakage is presented. The algorithm was compared favorably in speed with a previous one based on discrete Fourier transforms.

The role of finite centralizers involutions in pseudo-finite groups is analyzed. It shown that a group admitting definable involutory automorphism fixing only finitely many elements finite-by-abelian-by-finite. As consequence, we give model-theoretic proof result for periodic due to Hartley and Meixner. Furthermore, it any has an infinite abelian subgroup.

Potential energy surfaces for the ground and excited electronic states responsible for the Hartley continuum of ozone are used to obtain quadratic, cubic, and quartic force constants. Vibrational dependence of rotational constants to sixth order is calculated by perturbation theory. The spectroscopic constants enable computation of rovibronic energy levels. Overlap of ground state and excited s...