Zero function

The zero function is the function that always gives an output of zero. While one of the simplest possible functions, it is an important pathological object: it is the only function which is both an even function and an odd function, the only linear function with more than one root, and the only finite polynomial without finite degree. The zero function is also a common trivial solution to many problems, especially in differential equations.

Zero Function Media

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  Mayan zero

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  Example of the early Greek symbol for zero (lower right corner) from a 2nd-century papyrus

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  This is a depiction of zero expressed in Chinese counting rods, based on the example provided by A History of Mathematics. An empty space is used to represent zero.

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  Bakhshali manuscript, with the numeral "zero" represented by a black dot; its date is uncertain.

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  The numerals 0, 3 and 6 as text figures in the Georgia typeface.

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  Oslo airport train station, Platform 0

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  A number line from −3 to 3, with 0 in the middle

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  5+0=5 illustrated with collections of dots.

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  The empty set has zero elements