First, the hardware capabilities are dimensioned sufficiently high which in turn leads to higher costs and potentially larger size.
Note that the set of new equality constraints is not unique, and the proposed method generates a set of these new equality constraints for a sufficiently large dimension of the underlying problem.
A Single-Electron Transistor (SET) is capable of confining electrons to sufficiently small dimensions, so that the quantization of both their charge and their energy is easily observable, making the SET's quantum mechanical devices.
To get this result he proved that if C is a convex body (compact convex set with non-void interior) symmetric about the origin in an Euclidean space of sufficiently high dimension, there exists a k-dimensional subspace whose intersection with C has arbitrary small asphericity.
If the new space has sufficiently high dimension, it ensures that a maximum-margin separating hyperplane exists and will be found efficiently even if the original data are not linearly separable.
Therefore, by calculating pair-wise distances in sufficiently high dimension, the group memberships of the study subjects can be resolved, and U can be reconstructed almost perfectly.
Nearly all these tools sufficiently cover dimensions such as leadership, policies and procedures, professionals and communication and presentation of results [ 26].
Alternative analyses, available upon request, were also run with dimensions set at two and three, respectively, but these analyses did not produce sufficiently consistent additional dimensions (Cronbach alpha scores <.6).
We define here a fluid element as a volume of air of dimensions sufficiently small that all points within it are transported by the flow with the same velocity, but sufficiently large to contain a statistically representative ensemble of molecules.
