Particularly, the secret sparse basis is implemented by a reality-preserving fractional cosine transform matrix.
Once the reduced basis ({Psi_{1},Psi_{2},ldots,Psi_{N}}) has been calculated, the Galerkin method with expansions in this basis is implemented to solve the problem (6)–(8) with boundary conditions (4)–(5).
In this paper, the Ritz-Galerkin method in Bernstein polynomial basis is implemented to obtain an approximate solution of a nonclassical parabolic equation subject to given initial and moving boundary conditions.
In this paper, a numerical method which employs the Bernstein polynomials basis is implemented to give the approximate solution of a parabolic partial differential equation with boundary integral conditions.
Using 0.18 μm CMOS technology, the bit-serial, digit-serial and bit-parallel structures with type-1 and type-2 optimal normal basis are implemented over the finite fields GF(2226) and GF(2233) respectively.
Regimented cleaning schedule such as sweeping, mopping, washing all areas of the prison (e.g. own cells, kitchen, cafeteria) on daily basis is implemented for the inmates to keep the prison area clean.
Next, various kinds of kernels include linear, polynomial of degree two until five, and radial basis function was implemented along with SVM.
Electron density was calculated using PBE functional with the double-ξ numerical polarization (DNP) basis set, which was implemented in the DMol3 code in the Materials Studio of Accelrys Inc. [30, 31].
A radial basis function (RBF) kernel was implemented on the SVM classifiers.
[ 21] This continuous quality improvement process would take place on an ongoing basis as the program was implemented.
