A Geometrical Note

Some Geometrical Bases for Incremental-Iterative Methods (RESEARCH NOTE)

Finding the equilibrium path by non-linear structural analysis is one of the most important subjects in structural engineering. In this way, Incremental-Iterative methods are extremely used. This paper introduces several factors in incremental steps. In addition, it suggests some control criteria for the iterative part of the non-linear analysis. These techniques are based on the geometric of e...

A Note on Usefulness of Geometrical Crossover for Numerical Optimization Problems

Numerical optimization problems enjoy a signi cant popularity in evolutionary computation community; all major evolutionary techniques (genetic algorithm, evolution strategies, evolutionary programming) have been applied to these problems. However, many of these techniques (as well as other, classical optimization methods) have di culties in solving some real-world problems which include non-tr...

Geometrical equivalence, geometrical similarity and geometrical compatibility of algebras

In the paper the main attention is paid to conditions on algebras from a given variety Θ which provide coincidence of their algebraic geometries. The main part here play the notions mentioned in the title of the paper.

A Geometrical Conjecture of Banach

On a Geometrical Interpolation Problem

Given a finite set of points A in R and a geometrical pattern Φ we define a type of distance between A and Φ and study how to find a pattern Φ among a parametrized family of geometrical objects such that such a distance is minimum. Mathematics Subject Classification: 41A29