Let S be a closed orientable surface of genus at least two, and let C be an arbitrary (complex) projective structure on S. We show that there is a decomposition of S into pairs of pants and cylinders such that the restriction of C to each component has an injective developing map and a discrete and faithful holonomy representation. This decomposition implies that every projective structure can ...

Projective Reed-Solomon code is an important class of maximal distance separable codes in reliable communication and deep holes play roles its decoding. In this paper, we obtain two classes projective over finite fields with even characteristic. That is, let [see formula PDF] be field characteristic, PDF], the Lagrange interpolation polynomial first components received vector PDF]. Suppose that...

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...

The diagonal in a product of projective spaces is cut out by the ideal of 2×2-minors of a matrix of unknowns. The multigraded Hilbert scheme which classifies its degenerations has a unique Borel-fixed ideal. This Hilbert scheme is generally reducible, and its main component is a compactification of PGL(d)/PGL(d). For n = 2 we recover the manifold of complete collineations. For projective lines ...

We give a tutorial overview† of several geometric methods for feature selection and dimensional reduction. We divide the methods into projective methods and methods that model the manifold on which the data lies. For projective methods, we review projection pursuit, principal component analysis (PCA), kernel PCA, probabilistic PCA, and oriented PCA; and for the manifold methods, we review multi...

We accelerate the time-consuming iterations for projective reconstruction, a key component of self-calibration for computing 3-D shapes from feature point tracking over a video sequence. We first summarize the algorithms of the primal and dual methods for projective reconstruction. Then, we replace the eigenvalue computation in each step by the power method. We also accelerate the power method ...

For any projective curve X let M d (X) be the Simpson moduli space of pure dimension one rank 1 degree d sheaves that are semistable with respect to a fixed polarization H on X . When X is a reduced curve the connected component of M d (X) that contains semistable line bundles can be considered as the compactified Jacobian of X . In this paper we give explicitly the structure of this compactifi...

Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.