In the last decade speech processing has been applied in commercially available products. One of the key reasons for its success is the identification and use of an underlying set of generic symbols (phonemes) constituting all speech. In this work we follow the same approach, but for the problem of human body gestures. That is, the topic of this paper is how to define a framework for automatica...

This paper shows a new computational method to obtain filiform Lie algebras, which is based on the relation between some known invariants of these algebras and the maximal dimension of their abelian ideals. Using this relation, the law of each of these algebras can be completely determined and characterized by means of the triple consisting of its dimension and the invariants z1 and z2. As exam...

We construct an invariant of t-structures on the derived category of a Noetherian ring. This invariant is complete when restricting to the category of quasi-coherent complexes, and also gives a classification of nullity classes with the same restriction. On the full derived category of Z we show that the class of distinct t-structures do not form a set.

Sport advertising has become an important business increasingly raising the interest of an efficient analysis. To reduce the manual workload, in this work we present an automatic specific trademark and logo recognition system overcoming typical problems of existing (mostly SIFT-based) approaches. In particular, we need to cope with relatively small or correlated trademarks, severe background cl...

The dual notions of domination and packing in finite simple graphs were first extensively explored by Meir and Moon in [15]. Most of the lower bounds for the domination number of a nontrivial Cartesian product involve the 2-packing, or closed neighborhood packing, number of the factors. In addition, the domination number of any graph is at least as large as its 2-packing number, and the invaria...

We describe a numerical technique for discovering forward invariant sets for discrete-time nonlinear dynamical systems. Given a region of interest in the state-space, our technique uses simulation traces originating at states within this region to construct candidate Lyapunov functions, which are in turn used to obtain candidate forward invariant sets. To vet a candidate invariant set, our tech...

In this paper we introduce the concept of generalized Baer-invariant of a pair of groups with respect to two varieties ? and ? of groups. We give some inequalities for the generalized Baer-invariant of a pair of finite groups, when ? is considered to be the Schur-Baer variety. Further, we present a sufficient condition under which the order of the generalized Baer-invariant of a pair of finite ...

We answer in the negative a question by Grünbaum who asked if there exists a finite basis of affine invariant points. We give a positive answer to another question by Grünbaum about the “size” of the set of all affine invariant points. Related, we show that the set of all convex bodies K, for which the set of affine invariant points is all of R, is dense in the set of convex bodies. Crucial to ...

In the algebraic formulation the thermodynamic pressure, or free energy, of a spin system is a convex continuous function P defined on a Banach space ~3 of translationally invariant interactions. We prove that each tangent functional to the graph of P defines a set of translationally invariant thermodynamic expectation values, l~Iore precisely each tangent functional defines a translationally i...

Invariant set theory has been widely studied in the literature, see for example [1, 2] and reference therein. [1] gives a compressive review of the invariant set theory. [2] brings together some of the main ideas in set invariance theory and places them in a general, nonlinear setting. A similar concept, maximal safety set, has been studied in the literature of hybrid systems. The authors of [7...