this paper deals with continuous frames and continuous riesz bases. we introduce continuous riesz bases and give some equivalent conditions for a continuous frame to be a continuous riesz basis. it is certainly possible for a continuous frame to have only one dual. such a continuous frame is called a riesz-type frame [13]. we show that a continuous frame is riesz-type if and only if it is a con...

emergence of primary signs of muslims uprising in tunisia, egypt, libya, bahrain, yemen, and, in a somehow limited form, in arabia and jordan against local tyranny and foreign colonization, made big powers and western expansionist countries to expropriate public movements to their own benefit and to deviate such movements from their true path. in fact, the matter of process or project nature of...

In this paper, we present the formal verification of a Common Lisp implementation of Buchberger’s algorithm for computing Gröbner bases of polynomial ideals. This work is carried out in the Acl2 system and shows how verified Computer Algebra can be achieved in an executable logic.

We present a four-valued approach for recovering consistent data from inconsistent set of assertions. For a common family of knowledge-bases we also provide an eecient algorithm for doing so au-tomaticly. This method is particularly useful for making model-based diagnoses.

We present a four-valued approach for recovering consistent data from inconsistent set of assertions. For a common family of knowledge-bases we also provide an eecient algorithm for doing so au-tomaticly. This method is particularly useful for making model-based diagnoses.

This review discusses recent cognitive neuroscience investigations into the biological bases of developmental dyslexia, a common disorder impacting approximately 5 to 17 percent of the population. Our aim is to summarize central findings from several lines of evidence that converge on pivotal aspects of the brain bases of developmental dyslexia. We highlight ways in which the approaches and met...

Spanning trees are a representative example of linear matroid bases that efficiently countable. Perfect matchings Pfaffian bipartite graphs countable common two matrices. Generalizing these two, Webb (2004) introduced the notion pairs as pair matrices for which counting their is tractable via Cauchy–Binet formula.

We study substitutive systems generated by nonprimitive substitutions and show that transitive subsystems of are substitutive. As an application we obtain a complete characterisation the sets words can appear as common factors two automatic sequences defined over multiplicatively independent bases. This generalises famous theorem Cobham.

This paper presents a simple method that reduces the problem of detecting conflictfree assumption-based knowledge bases to the problem of testing satisfiability.

Southern blot analyses show that the soybean genome contains many U1 snRNA genes, both in tandem arrays and as isolated genes. We have cloned and sequenced two soybean U1 snRNA genes, U1a and U1b, which represent distinct multicopy tandem repeat elements. Sequence analysis of the first 46 nt of soybean embryo protoplast U1 snRNA by primer extension shows that sequences corresponding to U1a and ...