irrationality

  • 31Square root of 2 — The square root of 2, also known as Pythagoras constant, often denoted by:sqrt{2} or √2but can also be written as:2^{1/2},,is the positive real number that, when multiplied by itself, gives the number 2. Its numerical value approximated to 65… …

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  • 32Infinite descent — In mathematics, a proof by infinite descent is a particular kind of proof by contradiction which relies on the fact that the natural numbers are well ordered. One typical application is to show that a given equation has no solutions. Assuming a… …

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  • 33Stuart Sutherland — Norman Stuart Sutherland (26 March 1927 8 November 1998), always known professionally as Stuart Sutherland, was a British psychologist and writer.Sutherland was educated at King Edward s School, Birmingham before going to Magdalen College, Oxford …

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  • 34Auxiliary function — In mathematics, auxiliary functions are an important construction in transcendental number theory. They are functions which appear in most proofs in this area of mathematics and that have specific, desirable properties, such as taking the value… …

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  • 35nitrogen narcosis — Pathol. a semistupor, lightheadedness, or euphoria experienced by deep sea divers when nitrogen from air enters the blood at higher than atmospheric pressure. Also called rapture of the deep. [1935 40] * * * or nitrogen euphoria or raptures of… …

    Universalium

  • 36Bryan Caplan — (* 8. April 1971) ist ein US amerikanischer Ökonom. Er ist Professor am Department für Wirtschaftswissenschaften der George Mason University in Fairfax (Virginia) und freier wissenschaftlicher Mitarbeiter am Cato Institute. Er ist vor allem… …

    Deutsch Wikipedia

  • 37Critical theory — Horkheimer, Adorno, Habermas David Rasmussen HEGEL, MARX AND THE IDEA OF A CRITICAL THEORY Critical theory1 is a metaphor for a certain kind of theoretical orientation which owes its origin to Hegel and Marx, its systematization to Horkheimer and …

    History of philosophy

  • 38Euler–Mascheroni constant — Euler s constant redirects here. For the base of the natural logarithm, e ≈ 2.718..., see e (mathematical constant). The area of the blue region is equal to the Euler–Mascheroni constant. List of numbers – Irrational and suspected irrational… …

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  • 39Theodorus of Cyrene — was a Greek mathematician of the 5th century BC who was admired by Plato (who mentions him in several of his works, most notably the Theatetus ) . Little is known about him; however, Plato attributes to him the first proof of the irrationality of …

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  • 40Apéry's theorem — In mathematics, Apéry s theorem is a result in number theory that states the number ζ(3) is irrational. That is, the number:zeta(3)=sum {n=1}^infty frac{1}{n^3}=frac{1}{1^3}+frac{1}{2^3}+frac{1}{3^3}+ldots = 1.2020569ldots cannot be written as a… …

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