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] (D) = log X1/ log X0. We prove here that ] (D) can be arbitrarily large. Indeed, we exhibit an infinite family of values of D for which ] (D) ^ D1/6/ log D. We also provide some heuristic reasoning which suggests that there exists an infinitude of values of D for which ] (D) ^`_ D log log D/ log D, and that this is the best possible result under the Extended Riemann Hypothesis. Finally, we pr...

Two applications of volume registration in 3-D ultrasound imaging, extended volume imaging (EVI) and 3-D Spatial compounding, are demonstrated both in phantom and clinical scans. Extended volumes were composed by obtaining partly overlapping scans, registering the overlapping volumes, and displaying the complete set of volumes in their relative spatial orientations as determined by the registra...

Generalised scalar particle quantisation in 1 + 1 dimensions and D(2, 1; α) Abstract. The exceptional superalgebra D(2, 1; α) has been classified as a candidate conformal supersymmetry algera in two dimensions. We propose an alternative interpretation of it as an extended BFV-BRST quantisation superalgebra in 2D (D(2, 1; 1) ≃ osp(2, 2|2)). A superfield realization is presented wherein the stand...

The spectrum for the pure gauge sector is calculated for an extended Isgur-Paton model in 2+1 and 3+1 dimensions and compared to recent lattice calculations of the glueball spectrum. The IP model is extended by inclusion of a rigidity (curvature) term and, in D=2+1, mixing through a higer topological contribution. For a choice of parameterizations, near quantitative agreement is found for SU(3)...

Background: Vitamin D deficiency can cause frequent infection of tonsil and adenoid. Recurrent upper airway infections are associated with hypertrophy of lymphoid tissues (adenoid and palatine tonsils) in children. Obstructive sleep disorders, failure to thrive, facial deformity, and cognitive disorders are among the most important complications of adenotonsillar hypertrophy. Surgery is indicat...

A relativistic quark model is extended to incorporate chiral and gauge symmetries. We obtain the DD∗π and DD∗γ couplings and find that the ratio Γ(D∗0 → D0π0)/Γ(D∗0 → D0γ) constrains the charm-quark mass close to 1.45 GeV. Large 1/mc corrections appear in the heavy-quark contribution to the DD ∗γ coupling. The model is extended further to describe seven excited D meson states. We find that semi...