local vectorの例文

例文

1. The set of local vector fields on " M " forms a structure known as a sheaf of real vector spaces on " M ".
2. But anyhow, differenciation involves the notion of'direction'and arbitrary topological space don't have this notion unless you have a local vector space structure defined on them ( for instance locally Euclidean ).
3. That is, a local vector field is defined only on some open set " U " in " M " and assigns to each point of " U " a vector in the associated tangent space.
4. In a nutshell, once we have a set of measurements of the system state over some period of time, we find the derivatives of these measurements, which gives us a local vector field, then determine a global vector field consistent with this local field.