irrational fraction

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• Fraction (mathematics) — A cake with one quarter removed. The remaining three quarters are shown. Dotted lines indicate where the cake may be cut in order to divide it into equal parts. Each quarter of the cake is denoted by the fraction 1/4. A fraction (from Latin:… …   Wikipedia

• 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

• Fraction continue et approximation diophantienne — Le mathématicien indien Âryabhata fait usage d approximations diophantiennes construites à l aide de fractions continues dès le Ve siècle, pour extraire des racines carrées. En mathématiques, la réduite d une fraction continue …   Wikipédia en Français

• fraction — Synonyms and related words: Gaussian integer, adjunct, algebraic number, arithmetical proportion, cardinal, cardinal number, complex number, component, contingent, continued fraction, cross section, defective number, detachment, detail, division …   Moby Thesaurus

• irrational number — noun a real number that cannot be expressed as a rational number • Syn: ↑irrational • Hypernyms: ↑real number, ↑real • Hyponyms: ↑transcendental number, ↑algebraic number * * * Math. a …   Useful english dictionary

• Algebraic fraction — In elementary algebra, an algebraic fraction is the indicated quotient of two algebraic expressions.[1] Two examples of algebraic fractions are and . Algebraic fractions are subject to the same laws as arithmetic fractions. Contents 1 Terminology …   Wikipedia

• Continued fraction — Finite continued fraction, where a0 is an integer, any other ai are positive integers, and n is a non negative integer. In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the… …   Wikipedia

• Periodic continued fraction — In mathematics, an infinite periodic continued fraction is a continued fraction that can be placed in the form:x = a 0 + cfrac{1}{a 1 + cfrac{1}{a 2 + cfrac{ddots}{quadddotsquad a k + cfrac{1}{a {k+1} + cfrac{ddots}{quadddotsquad a {k+m 1} +… …   Wikipedia

• Quadratic irrational — In mathematics, a quadratic irrational, also known as a quadratic irrationality or quadratic surd, is an irrational number that is the solution to some quadratic equation with rational coefficients. Since fractions can be cleared from a quadratic …   Wikipedia

• Mathematical constants by continued fraction representation — This is a list of mathematical constants sorted by their representations as continued fractions. Continued fractions with more than 20 known terms have been truncated, with an ellipsis to show that they continue. Rational numbers have two… …   Wikipedia

• Generalized continued fraction — In analysis, a generalized continued fraction is a generalization of regular continued fractions in canonical form in which the partial numerators and the partial denominators can assume arbitrary real or complex values.A generalized continued… …   Wikipedia