Break a ruler of length n inches with indentations at each inchmark into n sticks of length one by repeatedly picking up all the fragments which are still of length greater than one and throwing them down all at once until all the sticks are of length one. Assume that each stick breaks into exactly two sticks uniformly at the inchmarks. What is the expected number of throws needed to complete t...

BACKGROUND Niemann-Pick disease type C is a rare metabolic disease characterized by progressive neurological deterioration with childhood onset, and often results in premature mortality. Niemann-Pick disease type C has an extremely heterogeneous clinical presentation with a wide range of visceral and neurological signs and symptoms that are not specific to the disease, and which progress over v...

If A is a unital weak-∗ closed subalgebra of a multiplier algebra on a reproducing kernel Hilbert space which has property A1(1), then the cyclic invariant subspaces provide an Nevanlinna-Pick (NP) family of kernels. This yields an NP interpolation theorem for a wide class of operator algebras. In particular, it applies to many kernel spaces over the unit disk including the Bergman space. We al...

Niemann-Pick group of diseases are rare lysosomal storage disorders. The clinical phenotype is variable. We report a child who first time presented with tremors of tongue and tremors of one side of the body. On examination child had hemiparesis and hepatosplenomegaly. Bone marrow examination shows storage cells suggestive of Niemann-Pick cells and enzyme assay confirmed the diagnosis.

PURPOSE Precise implant-supported restorations require accurate impressions. Transfer, pick-up, and splinted pick-up are commonly used techniques. Several in vitro studies have compared these impression techniques; however, all studies used mechanical evaluation methods. The purpose of this study was to compare the discrepancies of these impression techniques digitally in vitro and in vivo. M...