Quadratization is a transform of system ODEs with polynomial right-hand side into at most quadratic via the introduction new variables. It has been recently used as pre-processing step for model order reduction methods, so it important to keep number variables small. Several algorithms have designed search quadratization being monomials in original To understand limitations and potential ways i...

Commutative Gröbner Bases are a well established technique with many applications, including polynomial solving and constructive approaches to commutative algebra and algebraic geometry. Noncommutative Gröbner Bases are a focus of much recent research activity. For example, combining invariant theory and elimination theory, or elimination in moving frames of partial differential operators invar...

In this paper we establish a connection between the “bases” in Bases in equivariant K-theory, Represent. Theory 2 (1999), 298-369 and the periodic W -graphs introduced in Periodic W -graphs, Represent. Theory 1 (1997), 207–279.

This article investigates the forward kinematics problem formulation and resolution specifically applied to spatial parallel manipulators which allow only for translationnal displacements of the end-effector. The translation manipulator is usually constituted of three to six kinematics chains with three actuators usually located on the base. These mechanisms are designed to prevent any rotation...

Computation of partial automata through span composition p. 15 Degenerate arrays : a framework for uncertain data tables p. 21 Neural network sensitivity analysis applied for the reduction of the sensor matrix p. 27 Fuzzy modeling for coal seams a case study for a hard-coal mine p. 33 Optimization of a class of uncertain systems based on uncertain variables p. 38 Computational simulation of cat...