The phrase "a set of basis" is not correct in English.
The correct expression is "a set of bases." You can use it when referring to multiple foundational elements or components in a particular context, such as mathematics or music theory.
Example: "In linear algebra, a set of bases is essential for understanding vector spaces."
Alternatives: "a collection of bases" or "a group of bases."
The method consists of numerically developing a set of basis solutions characterized by new dependent variables which are slowly varying.
The POD technique is then used to produce a set of basis functions which spans the snapshot collection.
The proposed approach learns the inherent structures of the reference image as a set of basis vectors.
A set of signals that can be used to express every signal in the space is called a set of basis functions.
A dimensionality reduction model is obtained via projecting the original temperature distribution onto the spaces spanned by a set of basis.
[1,2] represented a chaotic signal as a set of basis functions, and built a matched filter for the resulting signal.
The method constructs a set of basis functions, called Equilibrated Basis Functions (EqBFs), through a weighted residual integration over a fictitious domain embedding the main one.
A set of basis vectors is generated and transformation on to the subspace spanned by these vectors is then performed in such a way that the time-stepping dynamic analysis is totally carried out within the subspace.
A signal can be converted between the time and frequency domains through transformations that project the signal onto a set of basis-functions which differ in their change rates, i.e., frequencies.
An example of a set of eight basis functions for randomly selected interpolation points is shown in Fig.4.10. Figure 4.10: Example Lagrange basis functions in the eighth-order case for randomly selected interpolation points (marked by dotted lines).
The interface forces and displacements are decomposed in terms of a set of interface basis functions.
