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

- also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals. In positive common fractions, the numerator...
- 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 complex analysis, a partial fraction expansion is a way of writing a meromorphic function f(z) as an infinite sum of rational functions and polynomials...
- In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the...
- decimal-fraction approximations to pi or the square root of 2.[citation needed] Similarly, Babylonian math texts used ****agesimal (base 60) fractions with...
- In complex analysis, a branch of mathematics, a generalized continued fraction is a generalization of regular continued fractions in canonical form, in...
- y)-i\sin(x)\sinh(y)\\\end{aligned}}} Using the partial fraction expansion technique in complex analysis, one can find that the infinite series ∑ n = −...
- of the complex plane while a meromorphic function (defined to mean holomorphic except at certain isolated poles), resembles a rational fraction ("part")...
- a fraction with a complex denominator to an equivalent fraction with a real denominator by expanding both numerator and denominator of the fraction by...
- continued fractions with complex elements. Euler derived the formula as connecting a finite sum of products with a finite continued fraction. a 0 + a 0...