Concepts can be represented as frames, i.e., recursive attribute-value structures. Frames assign unique values to attributes. Concepts can be classi ed into four groups with respect to both relationality and referential uniqueness: sortal, individual, proper relational, and functional concepts. The paper de nes frames as directed graphs with labeled nodes and arcs and it discusses the graph str...

In qualitative motion representation, frames of reference play an important role as well in measuring of the motion data as in representation and application of algorithms. This paper discusses motion representation in egocentric and allocentric frames of reference and begins with some general considerations on motion representation through qualitative distances and directions that apply to bot...

In the discussion of spatial representations in technical as well as in biological systems, frames of reference are of great importance. In this paper, we focus on spatial frames of reference in motion representation and stress that we have to introduce a distinction between frames of reference in measurement and in representation. We discuss some problems that arise in qualitative motion repre...

In this paper it is investigated how to find a matrix representation of operators on a Hilbert space H with Bessel sequences, frames and Riesz bases. In many applications these sequences are often preferable to orthonormal bases (ONBs). Therefore it is useful to extend the known method of matrix representation by using these sequences instead of ONBs for these application areas. We will give ba...

in this paper we introduce continuous $g$-bessel multipliers in hilbert spaces and investigate some of their properties. we provide some conditions under which a continuous $g$-bessel multiplier is a compact operator. also, we show the continuous dependency of continuous $g$-bessel multipliers on their parameters.