A quantity which takes on the value zero is said to vanish. For example, the function f(z)=z^2 vanishes at the point z=0. For emphasis, the term "vanish identically" is sometimes used instead, meaning the quantity in question does not merely vanish by all appearances, but is mathematically identically equal to zero.

A quantity that is nonzero everywhere is said to be nonvanishing.

See also

Identically Zero, Nonvanishing, Root, Vanish Identically, Vanishing Point, Zero

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Cite this as:

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

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