- Integer mathematical function, suitable for both symbolic and numerical manipulation.
- For integers m and n, Mod[m,n] lies between 0 and n-1.
- Mod[m,n,1] gives a result in the range 1 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.
Examplesopen allclose all
Basic Examples (4)
Properties & Relations (6)
Possible Issues (2)
Neat Examples (3)
Introduced in 1988
(1.0)| Updated in 1999