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Mod

FilledSmallSquare Mod[m, n] gives the remainder on division of m by n.

FilledSmallSquare Mod[m, n, d] uses an offset d.

FilledSmallSquare For integers and Mod[m, n] lies between 0 and .

FilledSmallSquare Mod[m, n, 1] gives a result in the range to , suitable for use in functions such as Part.

FilledSmallSquare Mod[m, n, d] gives a result such that and .

FilledSmallSquare 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.

FilledSmallSquare Mod[m, n] is equivalent to m - n Quotient[m, n].

FilledSmallSquare Mod[m, n, d] is equivalent to m - n Quotient[m, n, d].

FilledSmallSquare The arguments of Mod can be any numeric quantities, not necessarily integers.

FilledSmallSquare Mod[x, 1] gives the fractional part of x.

FilledSmallSquare 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.

FilledSmallSquare See Section 1.1.3 and Section 3.2.4.

FilledSmallSquare See also: PowerMod, Quotient, FractionalPart, MantissaExponent, PolynomialMod, PolynomialRemainder, Xor.

FilledSmallSquare New in Version 1; modified in 4.

Further Examples