In the 1970’s Paul Erdős and Dominic Welsh independently posed the problem of whether all finite partial linear spaces L are embeddable in finite projective planes. Except for the case when L has a unique embedding in a projective plane with few additional points, very little has been done which is directly applicable to this problem. In this paper it is proved that every finite partial linear ...

The following text is an outline of a review paper on Moore and Seiberg’s equations, Topological (Projective) Field Theories in three dimensions and their relationship with Grothendieck’s second paragraph of the “Esquisse d’un Programme”. Because of schedule and length problems this review paper has not been included in this volume. First of all, we recall the construction of projective topolog...

The estimation of parametric global motion is one of the cornerstones of computer vision. Such schemes are able to estimate various motion models (translation, rotation, affine, projective) with subpixel accuracy. The parametric motion is computed using a first order Taylor expansions of the registered images. But, it is limited to the estimation of small motions, and while large translations a...

In this paper, we develop some of the theory of spreads of projective spaces with an eye towards generalizing the results of Bruck 2]. In particular , we wish to generalize the notion of a subregular spread to the higher dimensional case. Most of the theory here was anticipated by Bruck in 3], 4], and 5]; however, he never provided a detailed formulation. We ll this gap here by developing the c...

This study examined Three Wishes (a projective technique commonly used with children) in boys with Duchenne muscular dystrophy (DMD), a fatal, progressive illness (n = 74). A reliable and parsimonious scoring system was developed to code wish type. Probands' responses were compared with unaffected siblings (n = 32) and a male comparison group (n = 43). Contrary to what was expected, the DMD gro...

One hundred and fifty-eight clinical psychologists practising in Britain completed a questionnaire concerning their use of and views about psychological assessment. The respondents reported spending on average slightly more than 50% of their working day on face-to-face clinical work and 13% of their time with clients on individual assessment. The results were compared to those of a similar surv...

This study examines whether coding open answers in a picture-based test, as to the extent they reflect the fear of being laughed at (i.e., gelotophobia), demonstrates sufficient validity to construct a semi-projective test for the assessment of gelotophobia. Previous findings indicate that cartoon stimuli depicting laughter situations (i.e., in the pilot version of the Picture-Geloph; Ruch et a...

Performing link prediction using knowledge graph embedding models has become a popular approach for completion. Such employ transformation function that maps nodes via edges into vector space in order to measure the likelihood of links. While mapping individual nodes, structure subgraphs is also transformed. Most designed Euclidean geometry usually support single type -- often translation or ro...