# continued

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**continued voyage**— noun : continuous voyage …52

**continued education.**— See adult education. Also called continuing education …53

**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… …54

**Gauss's continued fraction**— In complex analysis, Gauss s continued fraction is a particular class of continued fractions derived from hypergeometric functions. It was one of the first analytic continued fractions known to mathematics, and it can be used to represent several …55

**Solving quadratic equations with continued fractions**— In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is:ax^2+bx+c=0,,!where a ne; 0.Students and teachers all over the world are familiar with the quadratic formula that can be derived by completing …56

**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} +… …57

**Euler's continued fraction formula**— In the analytic theory of continued fractions, Euler s continued fraction formula is an identity connecting a certain very general infinite series with an infinite continued fraction. First published in 1748, it was at first regarded as a simple… …58

**Convergent (continued fraction)**— A convergent is one of a sequence of values obtained by evaluating successive truncations of a continued fraction. The nth convergent is also known as the nth approximant of a continued fraction.[1] Contents 1 Representation of real numbers 2… …59

**Complex argument (continued fraction)**— In analysis, the complex argument theta; = arg( z ) is commonly defined as an angle, often in terms of the inverse tangent function, or the inverse cosine. In a purely formal and perfectly rigorous treatment of the complex numbers, such reliance… …60

**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… …