transcendental number

Math.a number that is not a root of any algebraic equation having integral coefficients, as pi or e. Also called transcendental.
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Number that is not algebraic, in the sense that it is not the solution of an algebraic equation with rationalnumber coefficients.The numbers e and π, as well as any algebraic number raised to the power of an irrational number, are transcendental numbers.* * *
Universalium. 2010.
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Transcendental number — In mathematics, a transcendental number is a complex number that is not algebraic, that is, not a solution of a non zero polynomial equation with rational coefficients.The most prominent examples of transcendental numbers are π and e . Only a few … Wikipedia
transcendental number — noun an irrational number that is not algebraic • Hypernyms: ↑irrational number, ↑irrational • Hyponyms: ↑pi, ↑e * * * Math. a number that is not a root of any algebraic equation having integral coefficients, as pi or e. Also called transcen … Useful english dictionary
transcendental number — noun any irrational number that is not an algebraic number Ant: algebraic number … Wiktionary
transcendental number — See algebraic number … Philosophy dictionary
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
number — numberable, adj. numberer, n. /num beuhr/, n. 1. a numeral or group of numerals. 2. the sum, total, count, or aggregate of a collection of units, or the like: A number of people were hurt in the accident. The number of homeless children in the… … Universalium
transcendental — transcendentality, n. transcendentally adv. /tran sen den tl, seuhn /, adj. 1. transcendent, surpassing, or superior. 2. being beyond ordinary or common experience, thought, or belief; supernatural. 3. abstract or metaphysical. 4. idealistic,… … Universalium
Number theory — A Lehmer sieve an analog computer once used for finding primes and solving simple diophantine equations. Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers (the… … Wikipedia
Transcendental equation — A transcendental equation is an equation containing a transcendental function. Examples of such an equation are:x = e^{ x} :x = sin (x) olution methodsSome methods of finding solutions to a transcendental equation use graphical or numerical… … Wikipedia
transcendental — adjective Date: 1624 1. a. transcendent 1b b. supernatural c. abstruse, abstract d. of or relating to transcendentalism 2. a. incapable of being the root of an algebraic equation with rational coefficients < π is a transcendental number … New Collegiate Dictionary