4. (Theory of Numbers)

Defn: Any positive or negative number that differs from a given number by a multiple of a given modulus; thus, if 7 is the modulus, and 9 the given number, the numbers -5, 2, 16, 23, etc., are residues.

Syn. — Rest; remainder; remnant; balance; residuum; remains; leavings; relics.

RESIDUOUS
Re*sid"u*ous (r-zd"-s), a. Etym: [L. residuus.]

Defn: Remaining; residual. Landor.

RESIDUUM
Re*sid"u*um (-m), n. Etym: [L. See Residue.]

Defn: That which is left after any process of separation or purification; that which remains after certain specified deductions are made; residue. "I think so," is the whole residuum . . . after evaporating the prodigious pretensions of the zealot demagogue. L. Taylor.

RESIEGE
Re*siege" (r-sj"), v. t. Etym: [Pref. re- + siege a seat.]

Defn: To seat again; to reinstate. [Obs.] Spenser.

RE-SIGN
Re-sign" (r-sn"), v. t. Etym: [Pref. re- + sign.]