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Preprint
Ontology merging with formal concept analysis
(2005)
Ontologies have been established for knowledge sharing and are widely used as a means for conceptually structuring domains of interest. With the growing usage of ontologies, the problem of overlapping knowledge in a common domain becomes critical. In this short paper, we address two methods for merging ontologies based on Formal Concept Analysis: FCA-Merge and ONTEX. --- FCA-Merge is a method for merging ontologies following a bottom-up approach which offers a structural description of the merging process. The method ...
Preprint
Research through DESIGN through research - a problem statement and a conceptual sketch
(2006-06-08)
This paper re-addresses the issue of a lacking genuine design research paradigm. It tries to sketch an operational model of such a paradigm, based upon a generic design process model, which is derived from basic notions of evolution and learning in different domains of knowing (and turns out to be not very different from existing ones). It does not abandon the scientific paradigm but concludes that the latter has to be embedded into / subordinated under a design paradigm.
Aufsatz
Preprint
Thesen zur Erforschung historischer Nähesprachlichkeit
(2006-09-19)
In 7 Thesen werden grundsätzliche Überlegungen zu Möglichkeiten und Perspektiven der Erforschung historischer Nähesprachlichkeit vorgestellt. Die Thesen betreffen u.a. die Unterscheidung von historischer und universaler Nähesprachlichkeit sowie die Konsequenzen für Sprachgeschichts- und Gesprochene-Sprache-Forschung.
Aufsatz
Preprint
Zur Anwendung der Feldergrammatik auf die gesprochene Sprache am Beispiel des Feldes der Temporalität
(2006-09-19)
Der vorliegende Beitrag führt Möglichkeiten der Anwendung der Feldergrammatik auf die gesprochene Sprache am Beispiel des Feldes der Temporalität vor. Damit soll ein möglicher weiterer Theoriebaustein in die aktuelle Diskussion um eine Theorie der Grammatik der gesprochenen Sprache eingebracht werden.
Preprint
Approximate approximations for the Poisson and the Stokes equations
(2006)
The method of approximate approximations is based on generating functions representing an approximate partition of the unity, only. In the present paper this method is used for the numerical solution of the Poisson equation and the Stokes system in R^n (n = 2, 3). The corresponding approximate volume potentials will be computed explicitly in these cases, containing a one-dimensional integral, only. Numerical simulations show the efficiency of the method and confirm the expected convergence of essentially second order, ...
Preprint
Approximate Approximations and a Boundary Point Method for the Linearized Stokes System
(2007)
The method of approximate approximations, introduced by Maz'ya [1], can also be used for the numerical solution of boundary integral equations. In this case, the matrix
of the resulting algebraic system to compute an approximate source density depends only on the position of a finite number of boundary points and on the direction of the normal vector in these points (Boundary Point Method). We investigate this approach for the Stokes problem in the whole space and for the Stokes boundary value problem in a bounded ...
Preprint
The Parity of the Number of Irreducible Factors for Some Pentanomials
(2008)
It is well known that Stickelberger-Swan theorem is very important for determining reducibility of polynomials over a binary field. Using this theorem it was determined the parity of the number of irreducible factors for some kinds of polynomials over a binary field, for instance, trinomials,
tetranomials, self-reciprocal polynomials and so on. We discuss this problem for type II pentanomials namely x^m +x^{n+2} +x^{n+1} +x^n +1 \in\ IF_2 [x].
Such pentanomials can be used for efficient implementing multiplication ...