This work presents an analysis of fractional derivatives and fractal derivatives, discussing their differences similarities. The derivative is closely connected to Haussdorff's concepts dimension geometry. paper distinguishes between the a function on domain function, where image space. Different continuous approximations for are discussed, it shown that $q$-calculus approximation function. A s...

We investigate the complexity of integration and derivative for multivariate polynomials in the standard computation model. The integration is in the unit cube [0, 1] for a multivariate polynomial, which has format f(x1, · · · , xd) = p1(x1, · · · , xd)p2(x1, · · · , xd) · · · pk(x1, · · · , xd), where each pi(x1, · · · , xd) = ∑d j=1 qj(xj) with all single variable polynomials qj(xj) of degree...

In this article, multivariable derivative-free optimization algorithms for unconstrained problems are developed. A novel procedure approximating the gradient of objective functions based on noncommutative maps is introduced. The construction an exploration sequence to specify where function evaluated and definition so-called generating which composed with function, such that mimics a descent al...

The Spatial Approximation Tree (sa-tree) is a recently proposed data structure for searching in metric spaces. It has been shown that it compares favorably against alternative data structures in spaces of high dimension or queries with low selectivity. Its main drawbacks are: costly construction time, poor performance in low dimensional spaces or queries with high selectivity, and the fact of b...

Introduction: Ecstasy is an amphetamine derivative, which its use has been consistently increasing over the past years. Ecstasy interacts with the glutamatergic system and it is known that glutamate receptors have a key role in learning and memory. The aim of this study was to investigate the interaction of ecstasy and glutamatergic system on learning and memory. Methods: Fifty-six male Wis...