(iii) There is a room for further improvement of the present method, for example, by replacing the weight function
[w.sub.L](k, x) by some more appropriate one or employing other partial solutions instead of [S.sub.n]f(x) or Rf(x).
One of the weight functions
which is simple to use and has the "localisation" property is the band weight function
defined in d-variate case as
If e is a weight function
on the edges of Y(U), extended by the Ising-Y-Delta relations to the edges of Y(U'), and if f is a function on the vertices of [Z.sup.d] inducing e on the edges of Y(U) and Y(U') then at the eight vertices of the added cube, f satisfies the relations
Fix a nonzero window function g [member of] s([R.sup.d]), a v-moderate weight function
m on [R.sup.2d], and 1 [less than or equal to] p, q [less than or equal to] [infinity].
In this paper a two step fourth order iterative method is derived based on (5) by giving a new weight function
Proposition 2 Suppose that a graph G with a weight function
w admits a compact standard edge r-coloring for some r [greater than or equal to] [delta](G, w).
The number of casing strings/liners below the drive casing is denoted NS and the corresponding weight function
is shown in Table 7.
APPLICATION OF WEIGHT FUNCTION
METHOD TO THREE GORGES DAM PROJECTS
where [[??].sub.is] is the ith form's irregularity weight function
, which depends on the type of interacting irregularities and the intensity of the vacuum state's irregularity, [[??].sub.i] is the ith form's spatial irregularity and [[??].sub.i] is the ith form's temporal irregularity (or velocity).
But this is not always the case--for a sufficient condition, involving the weight function
[Alpha](x), we refer to Welfert .
Let M: ON [equivalence] OFF be a minimum weight matching on G using the weight function