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BUILT-IN MATHEMATICA SYMBOL
Mod
Details
- Integer mathematical function, suitable for both symbolic and numerical manipulation.
- For integers m and n, Mod[m, n] lies between
and n-1. - Mod[m, n, 1] gives a result in the range
to n, suitable for use in functions such as Part. » - Mod[m, n, d] gives a result
such that 
and 
. - The sign of Mod[m, n] is always the same as the sign of n, at least so long as m and n are both real.
- Mod[m, n] is equivalent to m-n Quotient[m, n].
- Mod[m, n, d] is equivalent to m-n Quotient[m, n, d].
- The arguments of Mod can be any numeric quantities, not necessarily integers. »
- For positive x, Mod[x, 1] gives the fractional part of x.
- For exact numeric quantities, Mod internally uses numerical approximations to establish its result. This process can be affected by the setting of the global variable $MaxExtraPrecision.
- Mod works with complex numbers, using its definition in terms of Quotient.
- Mod automatically threads over lists.
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