Transcendental curve(Math.), a curve in which one ordinate is a transcendental function of the other.Transcendental equation(Math.), an equation into which a transcendental function of one of the unknown or variable quantities enters.Transcendental function. (Math.) See under Function.

Syn.Transcendental, Empirical. These terms, with the corresponding nouns, transcendentalism and empiricism, are of comparatively recent origin. Empirical refers to knowledge which is gained by the experience of actual phenomena, without reference to the principles or laws to which they are to

8. To surpass; to outgo; to excel; to exceed.

How much her worth transcended all her kind.
Dryden.

Transcend
(Tran*scend") v. i.

1. To climb; to mount. [Obs.]

2. To be transcendent; to excel. [R.]

Transcendence
(Tran*scend"ence Tran*scend"en*cy) (- en*sy),[Cf. L. transcendentia, F. transcendance.]

1. The quality or state of being transcendent; superior excellence; supereminence.

The Augustinian theology rests upon the transcendence of Deity at its controlling principle.
A. V. G. Allen.

2. Elevation above truth; exaggeration. [Obs.]

"Where transcendencies are more allowed."
Bacon.

Transcendent
(Tran*scend"ent) a. [L. transcendens, -entis, p. pr. of transcendere to transcend: cf. F. transcendant, G. transcendent.]

1. Very excellent; superior or supreme in excellence; surpassing others; as, transcendent worth; transcendent valor.

Clothed with transcendent brightness.
Milton.

2. (Kantian Philos.) Transcending, or reaching beyond, the limits of human knowledge; — applied to affirmations and speculations concerning what lies beyond the reach of the human intellect.

Transcendent
(Tran*scend"ent), n. That which surpasses or is supereminent; that which is very excellent.

Transcendental
(Tran`scen*den"tal) a. [Cf. F. transcendantal, G. transcendental.]

1. Supereminent; surpassing others; as, transcendental being or qualities.

2. (Philos.) In the Kantian system, of or pertaining to that which can be determined a priori in regard to the fundamental principles of all human knowledge. What is transcendental, therefore, transcends empiricism; but is does not transcend all human knowledge, or become transcendent. It simply signifies the a priori or necessary conditions of experience which, though affording the conditions of experience, transcend the sphere of that contingent knowledge which is acquired by experience.

3. Vaguely and ambitiously extravagant in speculation, imagery, or diction.

In mathematics, a quantity is said to be transcendental relative to another quantity when it is expressed as a transcendental function of the latter; thus, ax, 102x, log x, sin x, tan x, etc., are transcendental relative to x.


  By PanEris using Melati.

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