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Partial 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.

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.

- In algebra, the partial fraction decomposition or partial fraction expansion of a rational function (that is, a fraction such that the numerator and the...

- Examples of finite simple continued fractions Formula Numeric Remarks a 0 {\displaystyle \ a_{0}} 2 {\displaystyle \ 2} All integers are a degenerate...

- A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English,...

- mole fraction can be expressed as the ratio of partial pressure to total pressure of the mixture In a ternary mixture one can express mole fractions of...

- 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...

- algebraic fraction. A complex fraction is a fraction whose numerator or denominator, or both, contains a fraction. A simple fraction contains no fraction either...

- {\partial G}{\partial x_{2}}}\right)_{\frac {x_{1}}{x_{3}}}} Express mole fractions of a component as functions of other components mole fraction and...

- mole fraction of a gas component in a gas mixture is equal to the volumetric fraction of that component in a gas mixture. The ratio of partial pressures...

- Field of fractions Partial fraction decomposition Partial fractions in integration Function field of an algebraic variety Algebraic fractions – a generalization...

- performing the partial-fraction expansion of a rational function. Separation of a fractional algebraic expression into partial fractions is the reverse...

- Examples of finite simple continued fractions Formula Numeric Remarks a 0 {\displaystyle \ a_{0}} 2 {\displaystyle \ 2} All integers are a degenerate...

- A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English,...

- mole fraction can be expressed as the ratio of partial pressure to total pressure of the mixture In a ternary mixture one can express mole fractions of...

- 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...

- algebraic fraction. A complex fraction is a fraction whose numerator or denominator, or both, contains a fraction. A simple fraction contains no fraction either...

- {\partial G}{\partial x_{2}}}\right)_{\frac {x_{1}}{x_{3}}}} Express mole fractions of a component as functions of other components mole fraction and...

- mole fraction of a gas component in a gas mixture is equal to the volumetric fraction of that component in a gas mixture. The ratio of partial pressures...

- Field of fractions Partial fraction decomposition Partial fractions in integration Function field of an algebraic variety Algebraic fractions – a generalization...

- performing the partial-fraction expansion of a rational function. Separation of a fractional algebraic expression into partial fractions is the reverse...

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