Although projective techniques continue to be widely used in clinical and forensic settings, their scientific status remains highly controversial. In this monograph, we review the current state of the literature concerning the psychometric properties (norms, reliability, validity, incremental validity, treatment utility) of three major projective instruments: Rorschach Inkblot Test, Thematic Ap...

The paper presents Colored Multiplanar Link Grammars (CMLG). These grammars are reducible to extended right-linear S-grammars (Wartena 2001) where the storage type S is a concatenation of c pushdowns. The number of colors available in these grammars induces a hierarchy of Classes of CMLGs. By fixing also another parameter in CMLGs, namely the bound t for non-projectivity depth, we get c-Colored...

For a general birational projection of smooth nondegenerate projective n-fold from Pn+c to Pm, n<m≤(n+c)/2, all fibres have total length asymptotically bounded by 2n+1 and the are locally defined linear quadratic equations.

If X is a smooth complex projective n-fold, Hodge-Lefschetz theory provides a filtration on the (primitive) cohomology H(X,C)0 by complex subspaces, satisfying certain compatiblity conditions with a bilinear form Q on cohomology. The Torelli problem, proposed in this form by Griffiths, is to decide whether given X, Y in a certain class C of varieties, the existence of an isomorphism H(X,C)0 ∼= ...

This paper presents new examples of projective surfaces general type over C $\mathbb {C}$ with canonical map degree 3 onto a surface type. Very few are known such and some the in this present feature having not morphism (i.e. linear system base points).

Jim Williams died in 1983. The surviving three authors are pleased to dedicate this paper to his memory. Abstract. Let C denote the category of Hilbert modules which are similar to con-tractive Hilbert modules. It is proved that if H 0 ; H 2 C and if H 1 is similar to an isometric Hilbert module, then the sequence 0 ! H 0 ! H ! H 1 ! 0 splits. Thus the isometric Hilbert modules are projective i...

Let CΨ (X) be the ideal of functions with pseudocompact support and let kX be the set of all points in υX having compact neighborhoods. We show that CΨ (X) is pure if and only if βX−kX is a round subset of βX, CΨ (X) is a projective C(X)-module if and only if CΨ (X) is pure and kX is paracompact. We also show that if CΨ (X) is pure, then for each f ∈ CΨ (X) the ideal (f ) is a projective (flat)...

We show that the binary code C of the projective Hall plane Hq2 of even order q where q = 2, for t ≥ 2 has words of weight 2q in its hull that are not the difference of the incidence vectors of two lines of Hq2 ; together with an earlier result for the dual Hall planes of even order, this shows that for all t ≥ 2 the Hall plane and its dual are not tame. We also deduce that dim(C) > 3+1, the di...

Nevanlinna theory [Ne] was created to give a quantitative measure of the value distribution for meromorphic functions, for instance to measure the extent to which they approximate a finite number of points. We view a meromorphic function as a holomorphic map ƒ : C —• P into the projective line. The theory has various higher dimensional analogues, of which we shall later consider maps ƒ : C —• X...

Let C be a projective irreducible non-singular curve over an algebraic closed field k of characteristic 0. We consider the Jacobian J(C) of C that is a projective abelian variety parametrizing topological trivial line bundles on C. We consider its Brill-Noether loci that corresponds to the varieties of special divisors. The Torelli theorem allows us to recover the curve from its Jacobian as a p...