Influenced by generative and intentional learning methodologies, the Web Resource Collaboration Center (WRCC) was developed to provide a structure and forum for lifelong learning activities by empowering learners to build their own Web-based knowledge bases and support systems. The WRCC – written entirely in Perl – enables learners to collaboratively build comprehensive knowledge base systems t...

In this paper we model knowledge dynamics in agents’ belief bases in a collaborative multiagent system. Four change operators are introduced: expansion, contraction, prioritized revision, and non-prioritized revision. For all of them, both constructive definitions and an axiomatic characterization by representation theorems are given. We formally justify minimal change, consistency maintenance,...

In this paper, we extend the idea of comprehensive Gröbner bases given by Weispfenning (1992) to border bases for zero dimensional parametric polynomial ideals. For this, we introduce a notion of comprehensive border bases and border system, and prove their existence even in the cases where they do not correspond to any term order. We further present algorithms to compute comprehensive border b...

this paper is an investigation of $l$-dual frames with respect to a function-valued inner product, the so called $l$-bracket product on $l^{2}(g)$, where g is a locally compact abelian group with a uniform lattice $l$. we show that several well known theorems for dual frames and dual riesz bases in a hilbert space remain valid for $l$-dual frames and $l$-dual riesz bases in $l^{2}(g)$.

Before surveying the results of the paper, we introduce path algebras. Path algebras play a central role in the representation theory of finite-dimensional algebras (Gabriel, 1980; Auslander et al., 1995; Bardzell, 1997) and the theory of Gröbner bases (Bergman, 1978; Mora, 1986; Farkas et al., 1993) has been an important tool in some results (Feustel et al., 1993; Green and Huang, 1995; Bardze...

In this study, a series of isatin-based Mannich bases were prepared and their biological activity was evaluated. Schiff bases of isatin were synthesized by condensation of the keto group of isatin with different aromatic primary amines. The NMannich bases of the above Schiff bases were synthesized by reaction of the acidic imino group of isatin with formaldehyde and secondary amine. The chemica...

We revisit the notion of probably approximately correct implication bases from the literature and present a first formulation in the language of formal concept analysis, with the goal to investigate whether such bases represent a suitable substitute for exact implication bases in practical use-cases. To this end, we quantitatively examine the behavior of probably approximately correct implicati...

Given a positive integer M and real number x∈(0,1], we call q∈(1,M+1] univoque simply normal base of x if there exists unique sequence (di)∈{0,1,…,M}N such that x=∑i=1∞diq−i. Similarly, is called irregular x=∑i=1∞diq−i the (di) has no digit frequency. Let USN(x) UIr(x) be sets bases x, respectively. In this paper show for any x∈(0,1] both have full Hausdorff dimension. Furthermore, given finite...