# weight function

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## weight function

[′wāt ‚fəŋk·shən]
(mathematics)
Two real valued functions ƒ and g are orthogonal relative to a weight function σ on an interval if the integral over the interval of ƒ· g ·σ vanishes.
A function defined on the edges of a network or the arcs of a directed network, whose value at each edge or arc is the unique nonnegative integer assigned to that edge or arc.
A function defined on the vertices of a generalized s-t network, whose value at each vertex is a nonnegative integer.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
(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 given by
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 [1997].
Let M: ON [equivalence] OFF be a minimum weight matching on G using the weight function defined above.

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