Definitions for partial fraction
par·tial frac·tion

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1. partial fractionnoun

   Any of several fractions to the sum of which a single fraction is equal.

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1. partial fraction

   In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.The importance of the partial fraction decomposition lies in the fact that it provides algorithms for various computations with rational functions, including the explicit computation of antiderivatives, Taylor series expansions, inverse Z-transforms, and inverse Laplace transforms. The concept was discovered independently in 1702 by both Johann Bernoulli and Gottfried Leibniz.In symbols, the partial fraction decomposition of a rational fraction of the form f ( x ) g ( x ) , {\textstyle {\frac {f(x)}{g(x)}},} where f and g are polynomials, is its expression as where p(x) is a polynomial, and, for each j, the denominator gj (x) is a power of an irreducible polynomial (that is not factorable into polynomials of positive degrees), and the numerator fj (x) is a polynomial of a smaller degree than the degree of this irreducible polynomial. When explicit computation is involved, a coarser decomposition is often preferred, which consists of replacing "irreducible polynomial" by "square-free polynomial" in the description of the outcome. This allows replacing polynomial factorization by the much easier-to-compute square-free factorization. This is sufficient for most applications, and avoids introducing irrational coefficients when the coefficients of the input polynomials are integers or rational numbers.

How to pronounce partial fraction?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say partial fraction in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of partial fraction in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of partial fraction in Pythagorean Numerology is: 1

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Partial_Fraction
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Partial_Fraction