Sentence examples for manifold is called from inspiring English sources

Such a product manifold is called a fiber bundle in terms of the topology.

A deRham current on a smooth manifold is called piecewise differentiable if its distributional components are partial derivatives of smooth densities supported on closed embedded smooth simplices.

This manifold is called a trajectory.

This manifold is called the joint zone.

If the characteristic functional is assumed to be invariant under affine transformation on the entire space-time manifold, then the manifold is called a Minkowski manifold and the system is called relativistic.

A differentiable map between manifolds is called a C 1 -diffeomorphism if it is one-to-one and its inverse is also differentiable.

In this situation, the manifolds are called mirror manifolds, and the relationship between the two physical theories is called mirror symmetry.

When the underlying signal x is an image, the resulting manifold ℳ is called an Image Appearance Manifold (IAM).

First, an assignment of a pseudodistance ({mathtt d}_X) to every manifold (X) is called a Schwarz Pick system  if.

A set B in a Riemannian manifold N is called totally convex if B contains every geodesic (eta_{x_{1},x_{2}} ) of N whose endpoints (x_{1} ) and (x_{2} ) belong to B. Note the whole of the manifold N is totally convex, and conventionally, so is the empty set.

A subset B in a Riemannian manifold N is called GSEC if and only if there is a unique geodesic (eta_{alpha b_{1}+E(b_{1}),alpha b_{2}+E(b_{2})}(gamma) ) of length (d(b_{1},b_{2}) ), which belongs to B, (forall b_{1},B_{2}in B), (alphain[0,1] ), and (gammain [0,1] ).