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• Transcendental_number abstract "In mathematics, a transcendental number is a real or complex number that is not algebraic—that is, it is not a root of a non-zero polynomial equation with rational coefficients. The best-known transcendental numbers are π and e. Though only a few classes of transcendental numbers are known (in part 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 are countable while the sets of real and complex numbers are both uncountable. All real transcendental numbers are irrational, since all rational numbers are algebraic. The converse is not true: not all irrational numbers are transcendental; e.g., the square root of 2 is irrational but not a transcendental number, since it is a solution of the polynomial equation x2 − 2 = 0.".
• Transcendental_number thumbnail PI_constant.svg?width=300.
• Transcendental_number wikiPageExternalLink transcendental.
• Transcendental_number wikiPageExternalLink EIsTranscendental.html.
• Transcendental_number wikiPageExternalLink euler.pdf.
• Transcendental_number wikiPageExternalLink pi.pdf.
• Transcendental_number wikiPageID "30325".
• Transcendental_number wikiPageLength "31326".
• Transcendental_number wikiPageOutDegree "122".
• Transcendental_number wikiPageRevisionID "706657421".
• Transcendental_number wikiPageWikiLink Alan_Baker_(mathematician).
• Transcendental_number wikiPageWikiLink Algebraic_function.
• Transcendental_number wikiPageWikiLink Algebraic_independence.
• Transcendental_number wikiPageWikiLink Algebraic_number.
• Transcendental_number wikiPageWikiLink Algebraically_closed_field.
• Transcendental_number wikiPageWikiLink Almost_all.
• Transcendental_number wikiPageWikiLink Apxc3xa9rys_constant.
• Transcendental_number wikiPageWikiLink Cahens_constant.
• Transcendental_number wikiPageWikiLink Cambridge_University_Press.
• Transcendental_number wikiPageWikiLink Cantors_diagonal_argument.
• Transcendental_number wikiPageWikiLink Carl_Ludwig_Siegel.
• Transcendental_number wikiPageWikiLink Catalans_constant.
• Transcendental_number wikiPageWikiLink Category:Articles_containing_proofs.
• Transcendental_number wikiPageWikiLink Category:Transcendental_numbers.
• Transcendental_number wikiPageWikiLink Chaitins_constant.
• Transcendental_number wikiPageWikiLink Champernowne_constant.
• Transcendental_number wikiPageWikiLink Charles_Hermite.
• Transcendental_number wikiPageWikiLink Coefficient.
• Transcendental_number wikiPageWikiLink Combinatorial_proof.
• Transcendental_number wikiPageWikiLink Compass-and-straightedge_construction.
• Transcendental_number wikiPageWikiLink Complex_number.
• Transcendental_number wikiPageWikiLink Computable_number.
• Transcendental_number wikiPageWikiLink Continued_fraction.
• Transcendental_number wikiPageWikiLink Converse_(logic).
• Transcendental_number wikiPageWikiLink Countable_set.
• Transcendental_number wikiPageWikiLink David_Hilbert.
• Transcendental_number wikiPageWikiLink Diophantine_approximation.
• Transcendental_number wikiPageWikiLink E_(mathematical_constant).
• Transcendental_number wikiPageWikiLink Equation.
• Transcendental_number wikiPageWikiLink Eulers_identity.
• Transcendental_number wikiPageWikiLink Euler–Mascheroni_constant.
• Transcendental_number wikiPageWikiLink Factorial.
• Transcendental_number wikiPageWikiLink Feigenbaum_constants.
• Transcendental_number wikiPageWikiLink Ferdinand_von_Lindemann.
• Transcendental_number wikiPageWikiLink Floor_and_ceiling_functions.
• Transcendental_number wikiPageWikiLink Four_exponentials_conjecture.
• Transcendental_number wikiPageWikiLink Gamma_function.
• Transcendental_number wikiPageWikiLink Gelfonds_constant.
• Transcendental_number wikiPageWikiLink Gelfond–Schneider_constant.
• Transcendental_number wikiPageWikiLink Gelfond–Schneider_theorem.
• Transcendental_number wikiPageWikiLink Georg_Cantor.
• Transcendental_number wikiPageWikiLink Georg_Cantors_first_set_theory_article.
• Transcendental_number wikiPageWikiLink Gottfried_Wilhelm_Leibniz.
• Transcendental_number wikiPageWikiLink Height_of_a_polynomial.
• Transcendental_number wikiPageWikiLink Hilberts_seventh_problem.
• Transcendental_number wikiPageWikiLink Infimum_and_supremum.
• Transcendental_number wikiPageWikiLink Interval_(mathematics).
• Transcendental_number wikiPageWikiLink Irrational_number.
• Transcendental_number wikiPageWikiLink Johann_Heinrich_Lambert.
• Transcendental_number wikiPageWikiLink Joseph_Liouville.
• Transcendental_number wikiPageWikiLink Jurjen_Ferdinand_Koksma.
• Transcendental_number wikiPageWikiLink Karl_Weierstrass.
• Transcendental_number wikiPageWikiLink Kurt_Mahler.
• Transcendental_number wikiPageWikiLink Lambert_W_function.
• Transcendental_number wikiPageWikiLink Leonhard_Euler.
• Transcendental_number wikiPageWikiLink Lindemann–Weierstrass_theorem.
• Transcendental_number wikiPageWikiLink Liouville_number.
• Transcendental_number wikiPageWikiLink Mathematics.
• Transcendental_number wikiPageWikiLink Mills_constant.
• Transcendental_number wikiPageWikiLink Modular_arithmetic.
• Transcendental_number wikiPageWikiLink Natural_logarithm.
• Transcendental_number wikiPageWikiLink Peter_M_Higgins.
• Transcendental_number wikiPageWikiLink Pi.
• Transcendental_number wikiPageWikiLink Polynomial.
• Transcendental_number wikiPageWikiLink Prouhet–Thue–Morse_constant.
• Transcendental_number wikiPageWikiLink Quadratic_irrational.
• Transcendental_number wikiPageWikiLink Rational_number.
• Transcendental_number wikiPageWikiLink Real_number.
• Transcendental_number wikiPageWikiLink Riemann_zeta_function.
• Transcendental_number wikiPageWikiLink Roger_Apéry.
• Transcendental_number wikiPageWikiLink Roths_theorem.
• Transcendental_number wikiPageWikiLink Schanuels_conjecture.
• Transcendental_number wikiPageWikiLink Springer_Science+Business_Media.
• Transcendental_number wikiPageWikiLink Square_root_of_2.
• Transcendental_number wikiPageWikiLink Squaring_the_circle.
• Transcendental_number wikiPageWikiLink Sturmian_word.
• Transcendental_number wikiPageWikiLink Subset.
• Transcendental_number wikiPageWikiLink Symmetric_polynomial.
• Transcendental_number wikiPageWikiLink Transcendental_number_theory.
• Transcendental_number wikiPageWikiLink Trigonometric_functions.
• Transcendental_number wikiPageWikiLink Uncountable_set.
• Transcendental_number wikiPageWikiLink William_J._LeVeque.
• Transcendental_number wikiPageWikiLink Wolfgang_M._Schmidt.
• Transcendental_number wikiPageWikiLink Zero_of_a_function.
• Transcendental_number wikiPageWikiLink File:PI_constant.svg.
• Transcendental_number wikiPageWikiLinkText "".
• Transcendental_number wikiPageWikiLinkText "T".
• Transcendental_number wikiPageWikiLinkText "Transcendental number".
• Transcendental_number wikiPageWikiLinkText "Transcendental number#Mahler's classification".
• Transcendental_number wikiPageWikiLinkText "Transcendental number#Numbers proven to be transcendental".

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