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irrational function

См. также в других словарях:

  • Functĭon — (v. lat. Functio), 1) Verrichtung; Amtsverrichtung; daher Functioniren, ein Amt verrichten; 2) nach Kant die Einheit der Handlung, verschiedene Vorstellungen unter eine gemeinschaftliche zu ordnen; 3) die naturgemäße Thätigkeit eines Organs; 4)… …   Pierer's Universal-Lexikon

  • Irrational — (v. lat., fr. Irraisonabel), 1) vernunftwidrig; 2) unüberlegt; 3) (Math.), ein Verhältnißbegriff für Größen, deren eine nicht aus Theilen der anderen zusammengesetzt werden kann, z.B. die Diagonale eines Quadrats od. Cubus in Beziehung auf deren… …   Pierer's Universal-Lexikon

  • Irrational number — In mathematics, an irrational number is any real number that is not a rational number that is, it is a number which cannot be expressed as a fraction m / n , where m and n are integers, with n non zero. Informally, this means numbers that cannot… …   Wikipedia

  • Irrational rotation — In mathematics, an irrational rotation is a map:r : [0,1] ightarrow [0,1] given by: r(x) = x + heta mod 1 (see modular arithmetics) where θ is an irrational number. The name comes from the fact that this map comes from a rotation by an angle of θ …   Wikipedia

  • irrational — irrationally, adv. irrationalness, n. /i rash euh nl/, adj. 1. without the faculty of reason; deprived of reason. 2. without or deprived of normal mental clarity or sound judgment. 3. not in accordance with reason; utterly illogical: irrational… …   Universalium

  • irrational — ir•ra•tion•al [[t]ɪˈræʃ ə nl[/t]] adj. 1) lacking the faculty of reason; deprived of reason 2) lacking sound judgment or logic: irrational arguments[/ex] 3) not controlled or governed by reason: irrational behavior[/ex] 4) math. a) (of a number)… …   From formal English to slang

  • Rational function — In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions. DefinitionsIn the case of one variable, x , a rational function is a function of the form: f(x) = frac{P(x)}{Q(x)}where P and Q are …   Wikipedia

  • List of integrals of irrational functions — NOTOC The following is a list of integrals (antiderivative functions) of irrational functions. For a complete list of integral functions, see lists of integrals. = Integrals involving r = sqrt{x^2+a^2} = : int r ;dx = frac{1}{2}left(x r… …   Wikipedia

  • Thomae's function — If you are having difficulty understanding this article, you might wish to learn more about algebra, functions, and mathematical limits. Thomae s function, also known as the popcorn function, the raindrop function, the ruler function or the… …   Wikipedia

  • Nowhere continuous function — In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of its domain. If f is a function from real numbers to real numbers, then f(x) is nowhere… …   Wikipedia

  • Proof that π is irrational — Although the mathematical constant known as pi; (pi) has been studied since ancient times, and so has the concept of irrational number, it was not until the 18th century that π was proved to be irrational.In the 20th century, proofs were found… …   Wikipedia

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