Sentence examples for basis functions are built from inspiring English sources
Finally, the basis functions are built by Proper Orthogonal Decomposition.
In other words, the basis functions are built by summing up components which are multiples of the same periodicity q, and only components satisfying (p, q) = 1 contribute to the sum.
In our case, angular functions and radial functions are built to define basis functions.
The empirical interpolation method uses basis functions which are built by sampling the nonlinear function we want to approximate a limited number of times.
Fourier and wavelet transforms (built upon predefined basis functions) are traditional methods that sometimes face difficulties to reveal the nature of real life complex data.
The Tucker decomposition is built as a tensor product of one-dimensional spaces where their one-variate basis functions are constructed by an extension of the Karhunen Loève decomposition into high-dimensional space.
Then by applying the proper orthogonal decomposition technique a new set of basis functions can be built for the solution space in which the size of new solution space is less than the original problem.
The homogeneous boundary condition is satisfied exactly by expanding the unknown variable into a polynomial basis of functions which are built upon the Legendre polynomials and have a zero slope at the interval extremes.
B-spline fitting function built with the local basis functions is converted into an interpolation type of function in which the nodal values of the boundary variables are used for control points.
