Long association cortical fiber pathways support developing networks for speech and language, but we do not have a clear understanding of how they develop in early childhood. Using diffusion-weighted imaging (DWI) we tracked the frontal aslant tract (FAT), arcuate fasciculus (AF), and AF segments (anterior, long, posterior) in 19 typical 5-8-year-olds, an age range in which significant improvem...

OBJECTIVES The goal of this article is to provide an account of language development in the brain using the new information about brain function gleaned from cognitive neuroscience. This account goes beyond describing the association between language and specific brain areas to advocate the possibility of predicting language outcomes using brain-imaging data. The goal is to address the current ...

The lattice of the set partitions of [n] ordered by refinement is studied. Suppose r partitions p1, . . . , pr are chosen independently and uniformly at random. The probability that the coarsest refinement of all pi ’s is the finest partition {1}, . . . , {n} is shown to approach 0 for r = 2, and 1 for r ≥ 3. The probability that the finest coarsening of all pi ’s is the one-block partition is ...

Internal wave packets propagating vertically in the oceanic thermocline are investigated with numerical simulations. For a typical set of environmental and packet parameters, it is shown that linear dispersion will have a significant effect on the spreading and decay in amplitude of these packets. Sufficiently strong packets are shown to generate turbulence that forms a continuous ‘scar’ of sma...