In this paper we present the language G-KARL. G-KARL allows to describe the static, the functional and the dynamic view to a knowledge based system (kbs) graphically. This graphical representation makes the communication between the expert and the knowledge engineer easier. The underlying conceptual model for G-KARL is derived from the KADS model of expertise. Every primitive of G-KARL may be m...

We study a family of subvarieties of the flag variety defined by certain linear conditions, called Hessenberg varieties. We compare them to Schubert varieties. We prove that some Schubert varieties can be realized as Hessenberg varieties and vice versa. Our proof explicitly identifies these Schubert varieties by their permutation and computes their dimension. We use this to answer an open quest...

Program Thursday, October 29 10:00 – 10:20 Opening addresses by Vice-Rector Prof. Dr. Heinz Faßmann and by Dean Prof. Dr. Harald Rindler 10:20 – 11:15 Peter Schuster: “Modeling cooperation – From molecules to man” 11:15 – 12:10 Martin Nowak: “Natural cooperation” 12:10 – 14:00 Lunch 14:00 – 14:55 Sebastian Schreiber: "Fitness covariances and coexistence of interacting, structured populations" 1...

Marx was drawn towards politics by Romantic literature and his earliest writings embody a conception of reality as subject to turbulent change and of human beings as realizing themselves in the struggle for freedom. His identification with these elements in HEGEL's thought (and his contempt for what he regarded as HEGEL's apologetic attitude towards the Prussian state) brought Marx to associate...

This paper considers the maximum value of the permanent over the class H(m, n) of n × n Hessenberg, (0, 1)-matrices with m 1’s, and shows that among those matrices that attain the maximum value there exists a matrix with a special form. This special form determines the exact value of the maximum permanent on H(m, n) for certain values of m and n.

Let H ∈ Cn×n be an n × n unitary upper Hessenberg matrix whose subdiagonal elements are all positive. Partition H as H = H11 H12 H21 H22 , (0.1) where H11 is its k×k leading principal submatrix; H22 is the complementary matrix of H11. In this paper, H is constructed uniquely when its eigenvalues and the eigenvalues of b H11 and b H22 are known. Here b H11 and b H22 are rank-one modifications of...

We show that there are relationships between a generalized Lucas sequence and the permanent and determinant of some Hessenberg matrices.

each part of karl rahner’s theology is in deep relation to his understanding of human situation. he believes that god has communicated himself with man. this self-offering of god to human needs a response from man. such an existential part has certain effects on the concrete human life and seeks its true and ultimate realization. this attitude to human leads to transcendental christology. chris...

Various strategies have been proposed for arriving at block algorithms for reducing a general matrix to Hessenberg form by means of orthogonal similarity transformations. This paper reviews and systematicallycategorizes the various strategies and discusses their computational characteristics.

The convergence in L( ) of the even approximants of the Wall continued fractions is extended to Cesàro–Nevai’s class CN, which is defined as the class of probability measures σ with lim n→∞ 1 n n−1 k=0 |ak| = 0, {an}n≥0 being the Geronimus parameters of σ. We show that CN contains universal measures, that is, probability measures for which the sequence {|φn|dσ}n≥0 is dense in the set of all pro...