Sentence examples for manifold does not from inspiring English sources

Modifying the outlet manifold or adding a baffle in the outlet manifold does not affect the distribution of the pressure.

It is clear that the dimension of maximal integral manifold does not exceed the dimension of the distribution.

In other words, now Kant is saying that the transcendental affinity of the manifold does not entail an empirical affinity of the manifold or the systematic unity of nature.

Apart from the limited application of the exterior derivative of a differential form, such an amorphous manifold does not have enough structure with which to define a general notion of differentiation.

We show that the Dirac operator on a spin manifold does not admit L2 eigenspinors provided the metric has a certain asymptotic behaviour and is a warped product near infinity.

The analysis of the internal pressure along the exhaust pipe shows that the rasping noise is generated in the intermediate tube and that the acoustic pressure measured at the exit of the manifold does not contain any high-frequency component.

But continuous manifolds do not admit this approach.

Moreover, manifolds do not exist whose affine structure is of a different nature.

Finally, we observe that the Kepler manifold either does not admit balanced metrics, or such metrics are not unique.

Analogously to the local setting, the dimension of a Lie group (G) acting properly and effectively on a smooth (n -dimensional man -dimensionals not exceed (n(n+1)/2).

"After cheating the IRS for years, lying to banks and to Congress, and seeking to criminally influence the Presidential election, Cohen's decision to plead guilty – rather than seek a pardon for his manifold crimes – does not make him a hero," prosecutors said in the filing.