we give further results for perron-frobenius theory on the numericalrange of real matrices and some other results generalized from nonnegative matricesto real matrices. we indicate two techniques for establishing the main theorem ofperron and frobenius on the numerical range. in the rst method, we use acorresponding version of wielandt's lemma. the second technique involves graphtheory.

The objective of this paper is to design optimal signature matrices for binary inputs. For the determination of such optimal codes, we need certain measures as objective functions. The sum-channel capacity and Bit Error Rate (BER) measures are typical methods for the evaluation of signature matrices. In this paper, in addition to these measures, we use distance criteria to evaluate the optimali...

Shape matrices have been used as a representation of planar shapes like industrial parts or printed characters. In this paper, we investigate the use of shape matrices as a mixed shape factor for off-line signature verification. By mixed shape factor we mean any global shape factor where the position of local measurements are take into account in the definition of a similarity measure between t...

This is a brief summary of the recent works joint with Dr. Sang Youl Lee, on the Seifert matrices and the (modi ed) Goeritz matrices of knots and links and their invariants: the Alexander polynomial, the Minkowski unit, the signature, the nullity, and the determinant of a knot and a link. We introduce the relationship between the modi ed Goeritz matrices of 2-peroidc links and those of their fa...

In this paper a method to obtain harmonic transfer matrices (HTM) from simulated or measured values (signature & signature response) is presented. These matrices subserve a description of complex systems (e.g. RF front-ends) with real properties, which can’t be specified by simple analytic expressions. They afford to give statements about a systems parameter. That’s why HTM are suitable for Bui...

Abstract I describe the interplay between Minkowski and Euclidean signature gamma matrices, Majorana fermions, discrete continuous symmetries in all spacetime dimensions. In particular argue that space-time dimensions which various classes of fermions exists are same both signature.

In signature authentication schemes, a candidate signature presented for authentication is compared to a previous signature measurement. Uniqueness of a signature is a result of a random physical process underlying the signature formation. In this paper, we model signatures as realizations of random processes with known statistics. Rate functions for the false alarm and miss probabilities are d...