Still, the quaternions can be regarded as a four-dimensional vector space formed by combining a real number with a three-dimensional vector, with a basis (set of generating vectors) given by the unit vectors 1, i, j, and k such that i2 = j2 = k2 = ijk = −1.
The B functions are used as a basis set of atomic orbitals.
We employ a basis set of orthogonal polynomials dynamically adapted to allow for emergence of chemical non-equilibrium.
Amplitude and phase modulation protocols are crafted leveraging insights from functional synthesis and the basis set of Walsh functions.
The all-electron basis set of the TZP type, as included in the ADF2006 program, was used for all atoms.
The wave functions are expanded on a basis set of double-ζ orbitals plus one polarization orbital (DZP).
In computations, we have used a hybrid exchange correlation functional within the density functional theory and a basis set of localized atomic orbitals.
QUEST is a non-linear least-squares algorithm that fits a time-domain model function, made up from a basis set of quantum-mechanically simulated whole-metabolite signals.
A basis set of DNP 4.4 together with pseudopotential scheme is used to provide high accuracy in the calculations especially on the fairly large compound as DIP crystal.
Note that the choice of an orthonormal minimal basis set of local wavefunctions may result initially in an inadequate description of the considered electronic eigenvalues.
The results demonstrate bilateral activation in the hippocampal formation in identification of novel complex scenes distinct from a learned basis set of complex scenes.
