Definition of Partial fraction. Meaning of Partial fraction. Synonyms of Partial fraction

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

Definition of Partial fraction

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.

Meaning of Partial fraction from wikipedia

- In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (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...
- rational fractions with integer coefficients. The term partial fraction is used when decomposing rational fractions into sums of simpler fractions. For example...
- {\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...
- because it gives the long-term behaviour without having to perform partial fraction decompositions (or other difficult algebra). If F(s) has a pole in...
- 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...
- algebraic fraction. A complex fraction is a fraction whose numerator or denominator, or both, contains a fraction. A simple fraction contains no fraction either...
- iy)\\&=\cos(x)\cosh(y)-i\sin(x)\sinh(y)\\\end{aligned}}} Using the partial fraction expansion technique in complex analysis, one can find that the infinite...
- first proof that π is irrational. There is a series representation as partial fraction expansion where just translated reciprocal functions are summed up...
- 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...