The phrase "a basis element in" is correct and usable in written English.
It can be used in mathematical or theoretical contexts, particularly in discussions about vector spaces or sets.
Example: "In linear algebra, a basis element in a vector space is essential for defining the structure of that space."
Alternatives: "a fundamental component of" or "a core element in".
The (l,m th basis element in time-frequency plane can be defined as p l, m = F m · T l (6).
There are various ways that the abstract group Γ × S can act on the space L sym 2. Apart from the natural representation that associates to the corresponding basis elements in the Lie algebra of Γ the operators A ˆ and B ˆ, the general representation considered below is built on the operators 1 c A ˆ and B ˆ c = − i | ω | c sgn.
The inverse appears in the Fourier coefficients of the expansion, where it can be carried over to the usually well-behaved basis elements in the form of the adjoint.
The energy for each direction should be estimated by adding all the basis elements in matrix H over time, equal to the procedure done by Equation 11.
For example, in contrast to the case for a basis, the elements in a frame are not necessarily (linearly) independent, that is, frames can be redundant.
We still assume that for any basis element (e_{j}) in H, there exist (z_{j}in E') such that ({{J}^z_{j}=e_{j}}).
Obviously, (overline{xy}=bar{y}bar{x}) and (xbar{x}=bar{x}x=|x|^{2}). In addition, suppose the imaginary unit of ℂ is identified with the basis element i in quaternion algebra space ℍ, then for arbitrary (zinmathbb{C}), we have (z=x_{0}+ix_{1}) and its complex conjugate (bar{z}=x_{0}-ix_{1}).
For f-NTF, after separation is conducted, the basis elements pointing in a direction close to the ground truth are selected to be separated out.
In order to learn such dynamics with a collection of basis elements, a control system would generalize correctly and therefore perform optimally if the basis elements that were sensitive to limb velocity were not sensitive to acceleration, and vice versa.
As in [1], for each noise level, we sort the 50 trials according to the number of successfully learned basis elements and order them in groups of 10 experiments.
