remainder (redirected from Remainder of an integer)

remainder

1. Maths

a. the amount left over when one quantity cannot be exactly divided by another

b. another name for difference

2. Property law a future interest in property; an interest in a particular estate that will pass to one at some future date, as on the death of the current possessor

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remainder [ri′mān·dər]

(mathematics)

The remaining integer when a division of an integer by another is performed; ifl=m·p+r,wherel, m, p,andrare integers andris less thanp,thenris the remainder whenlis divided byp.

The remaining polynomial when division of a polynomial is performed; ifl=m·p+r,wherel, m, p,andrare polynomials, and the degree ofris less than that ofp,thenris the remainder whenlis divided byp.

The remaining part of a convergent infinite series after a computation, for somen,of the firstnterms.