An important parameter is the relative strength of the two weighting functions which determines in which domain it is more important to have a good fit relative to the ideal function.
32.
In which \ mathbf { W } _ \ Omega and \ mathbf { W } _ \ Gamma are arbitrary weighting functions defined, respectively in \ Omega and on \ Gamma.
33.
These are simplified if the weighting functions are simply delta functions, which corresponds to fitting the boundary conditions for the current along the conductor at only " N " discrete points.
34.
For a fixed " ? ", the polynomials are orthogonal on [ & minus; 1, 1 ] with respect to the weighting function ( Abramowitz & Stegun p . 774)
35.
Namely it generates the core tensor \ mathcal { S } and the weighting functions \ mathbf { w } _ n ( x _ n ) for all n = 1 \ ldots N.
36.
Assume that, the weighting functions in \ mathbf { w } _ n ( x _ n ) are othonormal ( or we transform to ) for all n = 1 \ ldots N.
37.
The manifold for " n " points is ( S 1 ) " n ", and the weighting function for independent uniformly distributed points is just the uniform distribution over the manifold.
38.
Most modern progressive methods modify their scoring function with a secondary weighting function that assigns scaling factors to individual members of the query set in a nonlinear fashion based on their phylogenetic distance from their nearest neighbors.
39.
This two fields are not linked by any constitutive relationship; indeed, they are completely independent as a consequence of the arbitrariness of the weighting function \ mathbf { W } _ { \ Omega }.
40.
The new column in "'A "'is computed using the originally derived global term weights and applying the same local weighting function to the terms in the query or in the new document.
