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Transcendental Painting
Transcendence, transcendent, or transcendental may refer to: Mathematics * Transcendental number, a number that is not the root of any polynomial with rational coefficients * Algebraic element or transcendental element, an element of a field extension that is not the root of any polynomial with coefficients from the base field * Transcendental function, a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials * Transcendental number theory, the branch of mathematics dealing with transcendental numbers and algebraic independence Music * ''Transcendence'' (Adil Omar album), a 2018 hip hop album * ''Transcendence'' (Alice Coltrane album), a 1977 jazz album * ''Transcendence'' (Crimson Glory album), a 1988 heavy metal album * ''Transcendence'' (Devin Townsend Project album), a 2016 heavy metal album * "Transcendence" (Lindsey Stirling instrumental), a 2012 instrumental piece * " Transcendence (Segue)", a 2000 progressive metal instr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Transcendental Number
In mathematics, a transcendental number is a number that is not algebraic—that is, not the root of a non-zero polynomial of finite degree with rational coefficients. The best known transcendental numbers are and . Though only a few classes of transcendental numbers are known—partly because it can be extremely difficult to show that a given number is transcendental—transcendental numbers are not rare. Indeed, almost all real and complex numbers are transcendental, since the algebraic numbers comprise a countable set, while the set of real numbers and the set of complex numbers are both uncountable sets, and therefore larger than any countable set. All transcendental real numbers (also known as real transcendental numbers or transcendental irrational numbers) are irrational numbers, since all rational numbers are algebraic. The converse is not true: not all irrational numbers are transcendental. Hence, the set of real numbers consists of non-overlapping rational, algebrai ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |