We show that the cohomology table of any coherent sheaf on projective space is a convergent—but possibly infinite—sum of positive real multiples of the cohomology tables of what we call supernatural sheaves. Introduction Let K be a field, and let F be a coherent sheaf on P = P K . The cohomology table of F is the collection of numbers γ(F) = (γi,d) with γi,d = dimH (P,F(d)), which we think of a...

BACKGROUND Vertigo Symptom Scale (VSS) is a proper instrument for assessing the patient status, clarifying the symptoms, and examining the relative impact of the vertigo and anxiety on reported handicap. Our aim is the translation and cross-cultural adaptation of the VSS into Persian language (VSS-P) and investigating its validity and reliability in patients with peripheral vestibular disorders...

Based on the concept of the regularized central path, a new non-interior-point path-following algorithm is proposed for solving the P0 linear complementarity problem (P0 LCP). The condition ensuring the global convergence of the algorithm for P0 LCPs is weaker than most previously used ones in the literature. This condition can be satisfied even when the strict feasibility condition, which has ...

The aim of this paper is to introduce and study a new concept of the fuzzy I− convergent Γ ) (Δ,p) defined by modulus and also some topological properties of the resulting sequence spaces of fuzzy numbers were examined. Mathematics Subject Classification: 40A05, 40C05, 40D05

For the Sturm-Liouville operator L =L,: .VP+ -p” +pv one seeks to reconstruct the coefficient p from knowledge of the sequence of eigen-frequencies (Aj with LJ? =Ajn for some y j # 0). An implementable scheme is: for some N determine pnr so (approximately) pN has minimum norm with eigen-frequencies { A , . . . . .IN/ as given. This is the method ot’ ’generalised interpolation‘ and is shown to g...

In a previous analysis of ImPACT scores relative to traditional neuropsychological tests (NP) and experimental tasks (Maerlender et al., 2010) we demonstrated convergent construct validity for the primary ImPACT test-score composites. A complete analysis of discriminant validity was not undertaken at that time. Here, test scores from the 54 collegiate football and hockey players were re-analyze...

BACKGROUND The Short Health Anxiety Inventory (SHAI) is widely used in English-speaking populations, with good reliability and validity. For further research needs in the Chinese population, it was translated into a Chinese version (CSHAI). Furthermore, the reliability, validity, and cutoff score were examined in a nonclinical population in the People's Republic of China. METHODS Three hundre...

The adaptive landscape and the G-matrix are keys concepts for understanding how quantitative characters evolve during adaptive radiation. In particular, whether the adaptive landscape can drive convergence of phenotypic integration (i.e., the pattern of phenotypic variation and covariation summarized in the P-matrix) is not well studied. We estimated and compared P for 19 morphological traits i...

In a previous analysis of ImPACT scores relative to traditional neuropsychological tests (NP) and experimental tasks (Maerlender et al., 2010 ) we demonstrated convergent construct validity for the primary ImPACT test-score composites. A complete analysis of discriminant validity was not undertaken at that time. Here, test scores from the 54 collegiate football and hockey players were re-analyz...