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These properties were investigated for carbon clusters in the form of amorphous wire and ring structures using full-potential local-orbital method which is developed on the basis of linear combination of atomic orbitals (LCAO) method.
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A more general approach exists [33], which creates supercell vectors on the basis of linear combinations of the initial cell vectors, a desirable improvement that will be considered for a future version of the program.
Intervention utility can be calculated by assuming a main effects additive utility model on the basis of a linear combination of the weights of each level of all criteria [ 28].
Perceptrons provide a related technique, insofar as they decide class membership on the basis of a linear combination of feature values; their particular advantage is that they can learn incrementally (by adjusting feature weights) as more and more training data become available.
The values in the voxels of each of the reconstructed volumes represent the coefficients of linear combinations of basis functions over time and energy.
The coefficients to dk come from integrating certain powers of linear combinations of the basis functions bk r1), see note on the non-integer powers as well as on GTO and STO basis sets in the text.
Moreover, being linear methods, ICA, PCA and MNF assume that the observed data set is composed of linear combinations of certain basis.
The authors the observe that the set of representable functions can be restricted to those satisfying reciprocity by forming a new basis from particular linear combinations of the original basis functions.
We choose as a basis of and the following linear combination of the columns of the projection operators, for i = 1, 2 and : With a suitable rescaling, we obtain the matrix R given by The matrix R is orthogonal and reduces as in equation (2).
Basis functions are defined at several levels of resolution, and all low-resolution basis functions are linear combinations of high-resolution functions so that any distortion field (x,y,z) can be represented consistently at any resolution level.
The rationale under BEM is the efficient representation of either the impulse or the frequency response of a channel by means of a linear combination of some basis vectors.
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