Definition of Transcendental curve. Meaning of Transcendental curve. Synonyms of Transcendental curve

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Definition of Transcendental curve

Transcendental curve
Trancscendental Tranc`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. Note: 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, a^x, 10^2x, log x, sin x, tan x, etc., are transcendental relative to x. 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. Usage: 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 be referred, or by which they are to be explained. Transcendental has reference to those beliefs or principles which are not derived from experience, and yet are absolutely necessary to make experience possible or useful. Such, in the better sense of the term, is the transcendental philosophy, or transcendentalism. Each of these words is also used in a bad sense, empiricism applying to that one-sided view of knowledge which neglects or loses sight of the truths or principles referred to above, and trusts to experience alone; transcendentalism, to the opposite extreme, which, in its deprecation of experience, loses sight of the relations which facts and phenomena sustain to principles, and hence to a kind of philosophy, or a use of language, which is vague, obscure, fantastic, or extravagant.

Meaning of Transcendental curve from wikipedia

- In analytical geometry, a transcendental curve is a curve that is not an algebraic curve. Here for a curve, C, what matters is the point set (typically...
- The butterfly curve is a transcendental plane curve discovered by Temple H. Fay of University of Southern Mississippi in 1989. The curve is given by the...
- Elkies trinomial curves Hyperelliptic curve classical modular curve C****ini oval Bowditch curve Brachistochrone Butterfly curve (transcendental) Catenary Clélies...
- curve Brachistochrone Butterfly curve (transcendental) Catenary Clélies Cochleoid Cycloid Horopter Isochrone Pursuit curve Rhumb line Syntractrix Tractrix...
- can be defined using polynomial equations, and transcendental curves that cannot. Previously, curves had been described as "geometrical" or "mechanical"...
- Space curve Spinode Square wheel Subtangent Tacnode Tangent Tangent space Tangential angle Torsion of curves Trajectory Transcendental curve W-curve Whewell...
- normal curve Rose curve Bicuspid curve C****ini oval C****inoide Cubic curve Elliptic curve Watt's curve Butterfly curve Elkies trinomial curves Hyperelliptic...
- tractrix about its asymptote is a pseudosphere. The tractrix is a transcendental curve; it cannot be defined by a polynomial equation. In 1927, P. G. A...
- exhaustion led to the rectification by geometrical methods of several transcendental curves: the logarithmic spiral by Evangelista Torricelli in 1645 (some...
- Mechanics. J. Wiley & Sons. Lamb, Sir Horace (1897). "Art. 134 Transcendental Curves; Catenary, Tractrix". An Elementary Course of Infinitesimal Calculus...