transcendental function

transcendental function
a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials

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  • Transcendental function — Transcendental Tran scen*den tal, a. [Cf. F. transcendantal, G. transcendental.] 1. Supereminent; surpassing others; as, transcendental being or qualities. [1913 Webster] 2. (Philos.) In the Kantian system, of or pertaining to that which can be… …   The Collaborative International Dictionary of English

  • Transcendental function — A transcendental function is a function that does not satisfy a polynomial equation whose coefficients are themselves polynomials, in contrast to an algebraic function, which does satisfy such an equation. In other words a transcendental function …   Wikipedia

  • transcendental function — Math. a function that is not an algebraic function. [1875 80] * * * transcendental function noun (mathematics) Any function that cannot be defined by a finite number of algebraic operations • • • Main Entry: ↑transcend …   Useful english dictionary

  • transcendental function — Math. a function that is not an algebraic function. [1875 80] * * * In mathematics, a function not expressible as a finite combination of the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and… …   Universalium

  • Transcendental — Tran scen*den tal, a. [Cf. F. transcendantal, G. transcendental.] 1. Supereminent; surpassing others; as, transcendental being or qualities. [1913 Webster] 2. (Philos.) In the Kantian system, of or pertaining to that which can be determined a… …   The Collaborative International Dictionary of English

  • Transcendental curve — Transcendental Tran scen*den tal, a. [Cf. F. transcendantal, G. transcendental.] 1. Supereminent; surpassing others; as, transcendental being or qualities. [1913 Webster] 2. (Philos.) In the Kantian system, of or pertaining to that which can be… …   The Collaborative International Dictionary of English

  • Transcendental equation — Transcendental Tran scen*den tal, a. [Cf. F. transcendantal, G. transcendental.] 1. Supereminent; surpassing others; as, transcendental being or qualities. [1913 Webster] 2. (Philos.) In the Kantian system, of or pertaining to that which can be… …   The Collaborative International Dictionary of English

  • Transcendental functions — Function Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. {Defunct}.] 1. The act of executing or performing any duty, office, or calling; performance. In the function of… …   The Collaborative International Dictionary of English

  • Function — Func tion, n. [L. functio, fr. fungi to perform, execute, akin to Skr. bhuj to enjoy, have the use of: cf. F. fonction. Cf. {Defunct}.] 1. The act of executing or performing any duty, office, or calling; performance. In the function of his public …   The Collaborative International Dictionary of English

  • Transcendental — can refer to:In mathematics: * Transcendental number, a class of irrational numbers * Transcendental function, a class of functionsIn philosophy and religion: * Transcendence (philosophy) * Transcendental idealism, a philosophical doctrine… …   Wikipedia

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