A quantity that is nonzero everywhere is said to be nonvanishing. For instance, the values of x^2+1 are nonvanishing for real x, while those of x^2 are not (since x^2 vanishes at x=0).

See also

Nonzero, Vanish Identically, Vanishing, Zero

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Cite this as:

Weisstein, Eric W. "Nonvanishing." From MathWorld--A Wolfram Web Resource.

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