| Obviously, when no obstacles are used, then the matrix represents a Euclidean space with dimensionality equal to two. |
| What happens to physics when the dimensionality of spacetime is not equal to the four we know and usually love? |
| In order to determine the dimensionality of the scales, factor analysis with varimax rotation was undertaken. |
| Other potential applications for dimensionality reduction techniques, primarily in natural language analysis, will also be addressed. |
| Such rephrasing suggests a generalization of the concept of a vector to spaces of dimensionality higher than three. |
| Finally, we discuss some broader implications for rate-topology relationships and the dimensionality of the folding free-energy surface needed to describe the dynamics. |
