We present a new approach to implementing arrays in a pure lazy functional programming language. The arrays can be updated destructively by using uniqueness typing, and the elements can be unboxed. We describe the implementation of these arrays in the functional programming language Clean 1.1. The performance of two sorting algorithms and a fast fourier transformation written in Clean using arr...

Functional Data Analysis (FDA) has recently made considerable progress because of easier access to the data that are essentially in the form of curves. Although functional modeling of Iranian precipitation based on temperature or humidity was done before, here we use functional analysis of variance and covariance to analyze the weather data collected randomly from Iranian weather stations in 20...

This paper focuses on constructing efficient algorithms of the main DSP discrete procedures: convolution, correlation functions and filtering of signals based on discrete cosine transform (DCTII) and presenting them using unified structure. This structure is very useful in reducing the computational complexity by 3 N 2 − real multiplications and 2 N − real additions in comparison with indirect ...

state divisions are one of the most effective tools for political space organizing. the background of dividing the territory of the country into smaller units in iran may be historically traced back to the formation of the first territorial state by achaemenids. the role and function of state divisions, its relationship to national survival, facilitation of exerting the government’s will, a bal...

the structure of fluids confined by planar walls is studied using density functional theory. the density functional used is a generalized form of the hypernetted chain (hnc) functional which contains a term third order in the density. this term is chosen to ensure that the modified density functional gives the correct bulk pressure. the proposed density functional applied to a lennard-jones flu...

In this paper, we show that a closed-form formula for the generalized Clebsch–Gordan integral and Fourier–Legendre expansion theory allow to evaluate hypergeometric series involving powers of normalized central binomial coefficient $${\frac{1}{4^{n}}\genfrac(){0.0pt}0{2n}{n}}$$ .