A manifold is a curve, surface, or higher-dimensional space that has, at every point in that space, a small neighborhood around each point that looks like a ball in the corresponding Euclidean space of the appropriate dimension. More precisely, the...

. A variegated complex of elements considered as it is before being organized. For Kant especially, the sensory manifold is the as yet unstructured variety of material presented to the senses, which the mind then organizes through concepts, so that...

A pipe or chamber attached to several separate inlets or outlets and used for conveying liquids or...

A manifold is an abstract mathematical space in which every point has a neighborhood which resembles Euclidean space, but in which the global structure may be more complicated. In discussing manifolds, the idea of dimension is important. For example,...

ABSTRACT A new method is presented to detect the portion of variability connected between two climatic fields. The method is a realization of the Procrustes problem, and it is a generalization of methods for analysis of variance such as the singular value decomposition...

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Oh, what a failing. Toyota's first for-real laps in the Nextel Cup series didn't amount to much on Sunday, as NASCAR officials impounded Michael Waltrip's car after finding a questionable substance in his engine and the Japanese automaker failed to place any drivers higher than...

Crimes by right-wing extremists and attacks on foreigners rose in Germany last year, the government said Friday.The number of right-wing crimes was up 14 percent and violent attacks on foreigners rose by 37 percent, the German Interior Ministry said.More than 18,000 right-wing hate crimes were...