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,...

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...

The search for new sources of oil and gas is moving farther offshore.The utilization rate for the world's offshore floating rigs that operate in 500 feet of water or more stood at 96%, according to ODS-Petrodata, which provides data to the offshore energy field. That's...

Whoooo! Welcome to the final, stinky stretch of summer! Yes, soon enough—not soon enough for us—it will be ta-ta to calloused feet in flip-flops and helloooo to the patent-leather Mary Janes that are already filling shop windows! Au revoir to dining al fresco on sooty...