Sentence examples for use the same basis from inspiring English sources

Although this is not a requirement of the method, we decided to use the same basis to encode the source and detector plane.

The structural response is approximated using the same basis functions describing the geometry.

The control solution is then mapped back to the spatial domain using the same basis functions.

Sizing variables defined at the control points are interpolated using the same basis functions.

Hence, we can directly compare results with different methods but using the same basis sets.

The advent of isogeometric analysis (IGA) using the same basis functions for design and analysis constitutes a milestone in the unification of geometric modeling and numerical simulation.

Using the same basis, the reconstruction process can also be formulated by a Vandermonde system as in [3]: The coefficient c can then be obtained through the equation.

Third, the lumped parameter control is then mapped back to the spatial dimension using the same basis functions to result in a feedback control.

Isogeometric analysis (IGA) [18] is a method aimed at avoiding the discretization errors by using the same basis for analysis as is used to describe the geometry, thus enabling IGA to discretize the analysis models exactly.

Solvation appears to be important for obtaining more accurate chemical shifts because the models with no or few H2O molecules are less accurate using the same basis set and method.

Remark 4. As an alternative to the data-encoding scheme for the backscatter signals in the EPC-global standard, Miller-modulated subcarrier (or Miller encoding) uses the same basis functions, but with inverted logical meaning, as those of the FM0 scheme.