Residual air(Physiol.), that portion of air contained in the lungs which can not be expelled even by the most violent expiratory effort. It amounts to from 75 to 100 cubic inches. Cf. Supplemental air, under Supplemental.Residual error. (Mensuration) See Error, 6 (b).Residual figure(Geom.), the figure which remains after a less figure has been taken from a greater one.Residual magnetism (Physics), remanent magnetism. See under Remanent.Residual product, a by product, as cotton waste from a cotton mill, coke and coal tar from gas works, etc.Residual quantity(Alg.), a binomial quantity the two parts of which are connected by the negative sign, as a-b.Residual root(Alg.), the root of a residual quantity, as &radic(a-b).

(Re*sid"u*al), n. (Math.) (a) The difference of the results obtained by observation, and by computation from a formula. (b) The difference between the mean of several observations and any one of them.

(Re*sid"u*a*ry) a. [See Residue.] Consisting of residue; as, residuary matter; pertaining to the residue, or part remaining; as, the residuary advantage of an estate. Ayliffe.

Residuary clause(Law), that part of the testator's will in which the residue of his estate is disposed of.Residuary devise(Law), the person to whom the residue of real estate is devised by a will. - - Residuary legatee(Law), the person to whom the residue of personal estate is bequeathed.

(Res"i*due) n. [F. résidu, L. residuum, fr. residuus that is left behind, remaining, fr. residere to remain behind. See Reside, and cf. Residuum.]

1. That which remains after a part is taken, separated, removed, or designated; remnant; remainder.

The residue of them will I deliver to the sword.
Jer. xv. 9.

If church power had then prevailed over its victims, not a residue of English liberty would have been saved.
I. Taylor.

2. (Law) That part of a testeator's estate wwhich is not disposed of in his will by particular and special legacies and devises, and which remains after payment of debts and legacies.

3. (Chem.) That which remains of a molecule after the removal of a portion of its constituents; hence, an atom or group regarded as a portion of a molecule; — used as nearly equivalent to radical, but in a more general sense.

The term radical is sometimes restricted to groups containing carbon, the term residue being applied to the others.

4. (Theory of Numbers) 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.

(Re*sid"u*ous) a. [L. residuus.] Remaining; residual. Landor.

Residentiaryship to Resolution

(Res`i*den"tia*ry*ship), n. The office or condition of a residentiary.

(Res"i*dent*ship) n. The office or condition of a resident.

(Re*sid"er) n. One who resides in a place.

(Re*sid"u*al) a. [See Residue.] Pertaining to a residue; remaining after a part is taken.

  By PanEris using Melati.

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