in valIdness

[Eng. invalid; -ne .] Inva. lidity. In văl-or-ous, a . [Pref. in- (2), and Eng. valor ous (q. v.).] Wanting in courage; timid, timorous. învăl-u-a-ble, a . [Pref. in- (intens.), and Eng.. valuable (q. v.).] Precious above estimation; so valuable that its worth cannot be estimated; of inestimable value. "His friends adjured him to take more care of a life invaluable to his country." -Macaulay : Hist . Eng . , ch. vii. In-văl-u-a-bly, adv . [Eng. invaluab ( le ) ; -ly . ] In an invaluable manner or degree; above all estimation; inestimably. "That invaluably precious blood of the Sonne of God." -Bp. Hall : Sermon of Thanksgiving , Jan., 1625. *in-văl-üed, a . [Pref. in- (2), and Eng. valued (q.v.).) Invaluable; inestimable. "Closely conveys this great in valued spoil." Drayton: Barons' Wars, vi. 15. In-vär-I-a-bility, s. [Eng. invariable ; -ity.] The quality or state of being invariable; in varia blene . "This invariability in the birds' operations."-Digby: Of Bodies, ch. xxxvii. In-vär-l-a-ble, a . & s. [Fr.] A. As adj .: Not variable; not subject or liable to change; constant in the same state; unchangeable, unalterable. "According to some invariable and certain laws."Burke: On Taste . (Introd.) B. As substantive: Math.: An invariable quantity; a constant. invariable-function, s. Math .: A function which enters an equation, and which may vary under certain circumstances, but which does not vary under the conditions imposed by the equation, is called the invariable of the equation. In a common differential equation which holds true for all values of z and y , the only invariables must be absolute constants; but in an equation of differences in which the value of x only pa es from one whole number to another, any function which does not change value while a pa es from one whole number to another, may be an invariable. pine, pit, sire, sir, marine; gō, põt, invariablene In-vär-I-a-ble-ne , s . [Eng. invariable ; -ne .] The quality or state of being invariable; constancy of state; unchangeablene ; immutability. "From the dignity of their intellect arises the invariablene of their wills."-Mountagu: Devout E ays, pt. ii., tr. ii., § 3. In-vär-i-a-bly, adv . [Eng. invariab (le); -ly.] In an invariable manner; without changing or altering; constantly; uniformly. "He almost invariably took that view of the great questions of his time which history has finally adopted." -Macaulay : Hist . Eng ., ch. xxi. IMG:content-0022.png:[blocks in formation] Math .: An invariable quantity; more specifically a function of the coefficients of one or more forms which remains unaltered, when these undergo suitable linear transformations. (J. J. Sylvester.) *In-vär-ied, a . [Pref. in- (2), and Eng. varied (q. v.).] Unvaried, invariable, unchanging.