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Dummy Variable


A variable that appears in a calculation only as a placeholder and which disappears completely in the final result. For example, in the integral

 int_0^xf(x^')dx^',

x^' is a dummy variable since it is "integrated out" in the final answer. Any variable name other than x^' could therefore be used in the above expression, e.g., int_0^xf(lambda)dlambda, int_0^xf(q)dq, etc.

Dummy variables are also called bound variables or dead variables. Comtet (1974) adopts a notation in which dummy variable appearing as indices in sums are denoted by placing a dot underneath them (i.e., indicating them with an underdot), e.g.,

 sum_(c_._1+c_._2=n)c_1c_2=1/6n(n^2-1)

(Comtet 1974, p. 33).


See also

Bound Variable, Underdot

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References

Comtet, L. Advanced Combinatorics: The Art of Finite and Infinite Expansions, rev. enl. ed. Dordrecht, Netherlands: Reidel, pp. 32-33, 1974.

Referenced on Wolfram|Alpha

Dummy Variable

Cite this as:

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

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