This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over finite fields. It is shown that each vector defined over a finite field can be represented as...

this paper presents a computational method for solving two types of integro-differential equations, system of nonlinear high order volterra-fredholm integro-differential equation(vfides) and nonlinear fractional order integro-differential equations. our tools for this aims is operational matrices of integration and fractional integration. by this method the given problems reduce to solve a syst...

The polymerase chain reaction (PCR) is widely used to uncover new information about genes and genomes, but is limited in that it is highly dependent on the use of specific and sensitive primers to yield good results. Primers can target a specific, known sequence, but what is often more interesting is the use of degenerate primers to target unknown sequences. Degenerate primers are designed base...