Sentence examples for manifold dimensions from inspiring English sources

I'm particularly fond of "The Pajama Game," from 1957, which Donen and George Abbott co-directed; and it's a film of appropriately manifold dimensions.

Problems encountered in these manifold dimensions, including those arising from frame spatial periodicity and the adversity of Newton's method, are overcome.

Based on this study, it is possible to choose optimal manifold dimensions which will provide higher efficiencies with lower pressure pulsations.

The largest rank is the intrinsic manifold dimension, while the number of components T is related to the manifold condition number.

From [13, Theorem  4.2] (or [5, Theorem  2.4]), it yields that there exists a stable manifold of dimensions and an unstable manifold of one-dimension in a neighborhood of.

We give some a priori estimates for Yamabe equation on Riemannian manifold in dimensions 5 and 6.

They defined the manifolds based on (M_{1}) and (M_{2}), which are the two Riemannian manifolds of dimensions (n_{1}) and (n_{2}) endowed with Riemannian matrices (g_{1}) and (g_{2}) such that (f:M_{1}rightarrow 0, infty)) be a positive differentiable function on (M_{1}).

Let be an oriented Riemannian manifold with dimension.

Let ( T ; h ) and ( M ; g ) be Riemannian manifolds of dimensions p and n, respectively.

Let and be Riemannian manifolds of dimensions and,, and with scalar products,, respectively.

Let M be a noncompact complete Riemannian manifold of dimension n without boundary.