indeterminate equation
The American Dictionary and Cyclopedia · 1910 · p. 53
index In-de-ter-min-ate-ne , s. [Eng. in deter min ate ; -ne .] The quality or state of being indeterminate; want of precisene ; indefinitene . in-de-ter-min-ā-tion, s. [Pref. in (2), and Eng. determination (q. v.).] 1. Want of determination; want of a fixed and steady mind or purpose; an unsettled or wavering state, as of the mind. "The indetermination of her thoughts was a trouble." -Bp. Taylor: Great Exemplar , pt. i., § 7. 2. Want of fixed or determined direction. In-de-termined, a. [Pref. in- (2), and English determined (q.v.).] 1. Not determined; not settled; unsettled. 2. Not limited; infinite. "The eternal height of indetermined space." Brooke : Universal Beauty, v. *In-de-vir-gin-ate, a. [Pref. in- (2), and Eng. devirginate (q. v.).] Not devirginate; not deprived of virginity. "Pallas, the seede of Ægis-bearing Jove; Who still lies indevirginate ." Chapman: Homer; Hymn to Venus. *In-de-võte', a . [Lat. in- =not, and devot us = devoted, devout.] Not devoted to religion; not devout; irreligious. "There are so many of the same arguments, and so inde vote an age." -Bentley: Letter, p. 181. *in-de-vōt-ěd, a . [Pref. in- (2), and English devoted (q. v.).] Not devoted. "Mr. Cowley's connections with some persons in devoted to the excellent chancellor."-Hurd: Dial . 8; On Retire ment . (Note.) In-de-vo-tion, s. [Pref. in- (2), and Eng. devo tion (q. v.).] Want of devotion or devotedne ; irreligion. "We live in an age of in devotion." -Bishop Taylor: Great Exemplar , pt. i., ad. § 5. In-de-vout', a. [Pref. in- (2), and Eng. devout (q.v.).) Not devout; not religious; irreligious. "Kindled by the eloquence of an indevout preacher." Boyle: Works , ii. 457. in-de-vout-lý, adv. [Eng. indevout; -ly.] In an indevout or irreligious manner. in-děx ( pl. In'-děx-ěş in ord. lang., In-di-çeş in math.), s. [Lat.] I. Ordinary Language : 1. That which serves to point out; that which shows or manifests; a discoverer. "My lips might prove the index to my fault." Drayton: Rosamond to King Henry. 2. A pointer; that which serves to direct or point out, as the hand of a watch or clock, a finger or arm of balance measuring apparatus which moves in relation to a line or Math.: An equation is indeterminate when the along a graduated scale relati unknown quantities which enter it admit of an infinite number of values; the equation of the right line is an example of an indeterminate-equation; in general, most of the equations used in analysis are indeterminate. Whenever an equation contains more than one arbitrary or unknown quantity, that, considered by itself, is indeterminate, for any number of sets of values may be at tributed to all the unknown quantities, except one, and the value of that one deduced. A group of equations containing more unknown quantities than there are equations is indeterminate. indeterminate-inflorescence, s. Bot.: The same as INDEFINITE-INFLORESCENCE (q. v.). ( Gray .) indeterminate-problem, s . described. B. As subst. ( pl .): A euphemism for trousers. "Mr. Trotter gave four distinct slaps on the pocket of his mulberry indescribables."- Dickens. Pick wick, ch. xvi. In-de-scriptive, adj . [Pref. in- (2), and Eng. descriptive (q. v.).] Not descriptive; not furnishing or containing a true or proper description. *In de şert', s. [Pref. in- (2), and Eng. desert (3), s. (q. v.)] Want of desert, merit, or worth. "To think the fame of his merit a reflection on their own in deserts."- Add is on : Spectator , No. 256. *In-des-I nent, a. [Pref. in- (2), and Eng. desi nent (q. v.).] Not desinent; not ceasing or leaving off; unceasing. "More noble, more in desinent , and indefeasible than the first."- Baxter : On the Soul , p. 351. *in-des-i-nent-ly, adv . [Eng. in desinent; -ly.] Unceasingly; without ce ation. In-dě-şir a-ble, a . [Prefix in- (2), and Eng. desirable (q.v.).] Not desirable; undesirable. central mark; a finger-post which points out the road to any place, . 3. A table of the contents of a book; a table of reference in alphabetical order. "An index is the bag and baggage of a book, of more use than honor."- Fuller : Pisgah Sight ( Directions for Index) *4. A preface, prelude, or prologue to a play or story. "An index and obscure prologue to the history of lust and foul thoughts." --Shakesp .: Othello , ii. 1. II. Technically : 1. Anat .: [INDEX-FINGER.] 2. Astron.: A bra rule accompanying the plane table, furnished with perpendicular sight-vanes at each extremity; an alidade. 3. Math .: The index of a radical is a number written over the radical sign to denote the degree of the root to be extracted. An index is generally a whole number greater than 2. When the square root is indicated, the index is generally omitted, Math .: A problem is indeterminate when it admits of an infinite number of solutions. This will conditions than there are unknown or required pre the imposed conditions will be fewer than the number of unknown quantities which enter them; consequently, they will be indeterminate, and of course the problem itself will also be indeterminate. are being understood
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