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Weight


The word weight has many uses in mathematics. It can refer to a function w(x) (also called a weighting function or weighting function) used to normalize orthogonal functions. It can also be used to indicate one of a set of a multiplicative constants placed in front of terms in a moving average, Newton-Cotes formulas, edge or vertex of a graph or tree, etc. It also refers to the power k in the multiplicative factor (ctau+d)^k defining a modular form.

The weight of a tree at a point u is the maximum number of edges in any branch at u (Harary 1994, p. 35).


See also

Modular Form, Moving Average, Newton-Cotes Formulas, Weighted Tree, Weighting Function

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References

Harary, F. Graph Theory. Reading, MA: Addison-Wesley, p. 35, 1994.

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Weight

Cite this as:

Weisstein, Eric W. "Weight." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Weight.html

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