This study addresses the empirical question of whether families high in communication deviance (CD) assessed from parental projective test data show direct interaction patterns similar to those found in families with offspring diagnosed as schizophrenic. Three parameters of interactive functioning were examined— focus of communication, role structure, and nonverbal affective attitude. The data ...

We study the projective space S of rational parameter representations of degree d or less in real projective space P. The parameter representations of degree less than d form a special algebraic variety K1. We investigate the subspaces on K1 and their relation to rational curves in P, give a geometric characterization of the automorphism group of K1 and outline applications of the theory to pro...

We consider the problem of computing a triangulation of the real projective plane P , given a finite point set P = {p1, p2, . . . , pn} as input. We prove that a triangulation of P always exists if at least six points in P are in general position, i.e., no three of them are collinear. We also design an algorithm for triangulating P if this necessary condition holds. As far as we know, this is t...

Projective clustering is a problem with both theoretical and practical importance and has received a great deal of attentions in recent years. Given a set of points P in R space, projective clustering is to find a set F of k lower dimensional j-flats so that the average distance (or squared distance) from points in P to their closest flats is minimized. Existing approaches for this problem are ...

ABSTRACT: In this paper we improve the known bound for the X-rank RX(P ) of an element P ∈ PN in the case in which X ⊂ Pn is a projective variety obtained as a linear projection from a general v-dimensional subspace V ⊂ Pn+v . Then, if X ⊂ Pn is a curve obtained from a projection of a rational normal curve C ⊂ Pn+1 from a point O ⊂ Pn+1, we are able to describe the precise value of the X-rank f...