Mod

Usage

• Mod[m, n] gives the remainder on division of m by n.
• Mod[m, n, d] uses an offset d.

Notes

• For integers

and

Mod[m, n] lies between 0 and

• Mod[m, n, 1] gives a result in the range

, 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.

• 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.

• See Section 1.1.3 and Section 3.2.5.

• New in Version 1; modified in 4.

Further Examples