Definition of Complex fraction. Meaning of Complex fraction. Synonyms of Complex fraction

Here you will find one or more explanations in English for the word Complex fraction. Also in the bottom left of the page several parts of wikipedia pages related to the word Complex fraction and, of course, Complex fraction synonyms and on the right images related to the word Complex fraction.

Definition of Complex fraction

Complex fraction
Fraction Frac"tion, n. [F. fraction, L. fractio a breaking, fr. frangere, fractum, to break. See Break.] 1. The act of breaking, or state of being broken, especially by violence. [Obs.] Neither can the natural body of Christ be subject to any fraction or breaking up. --Foxe. 2. A portion; a fragment. Some niggard fractions of an hour. --Tennyson. 3. (Arith. or Alg.) One or more aliquot parts of a unit or whole number; an expression for a definite portion of a unit or magnitude. Common, or Vulgar, fraction, a fraction in which the number of equal parts into which the integer is supposed to be divided is indicated by figures or letters, called the denominator, written below a line, over which is the numerator, indicating the number of these parts included in the fraction; as 1/2, one half, 2/5, two fifths. Complex fraction, a fraction having a fraction or mixed number in the numerator or denominator, or in both. --Davies & Peck. Compound fraction, a fraction of a fraction; two or more fractions connected by of. Continued fraction, Decimal fraction, Partial fraction, etc. See under Continued, Decimal, Partial, etc. Improper fraction, a fraction in which the numerator is greater than the denominator. Proper fraction, a fraction in which the numerator is less than the denominator.
Complex fraction
Complex Com"plex, a. [L. complexus, p. p. of complecti to entwine around, comprise; com- + plectere to twist, akin to plicare to fold. See Plait, n.] 1. Composed of two or more parts; composite; not simple; as, a complex being; a complex idea. Ideas thus made up of several simple ones put together, I call complex; such as beauty, gratitude, a man, an army, the universe. --Locke. 2. Involving many parts; complicated; intricate. When the actual motions of the heavens are calculated in the best possible way, the process is difficult and complex. --Whewell. Complex fraction. See Fraction. Complex number (Math.), in the theory of numbers, an expression of the form a + b[root]-1, when a and b are ordinary integers. Syn: See Intricate.

Meaning of Complex fraction from wikipedia

- fractions within fractions (complex fractions) or within exponents to increase legibility. Fractions written this way, also known as piece fractions,...
- number theory, these are called generalized continued fraction. From the perspective of complex analysis or numerical analysis, however, they are just...
- algebraic fraction. A complex fraction is a fraction whose numerator or denominator, or both, contains a fraction. A simple fraction contains no fraction either...
- In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the...
- In complex analysis, a partial fraction expansion is a way of writing a meromorphic function f ( z ) {\displaystyle f(z)} as an infinite sum of rational...
- In complex analysis, Gauss's continued fraction is a particular class of continued fractions derived from hypergeometric functions. It was one of the...
- fractions with complex elements. Lucas sequence Methods of computing square roots Pell's equation H. S. Wall, Analytic Theory of Continued Fractions,...
- function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials...
- continued fractions with complex elements. Euler derived the formula as connecting a finite sum of products with a finite continued fraction. a 0 ( 1 +...
- An Egyptian fraction is a finite sum of distinct unit fractions, such as 1 2 + 1 3 + 1 16 . {\displaystyle {\frac {1}{2}}+{\frac {1}{3}}+{\frac {1}{16}}...