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  2. Partial fraction decomposition - Wikipedia

    en.wikipedia.org/wiki/Partial_fraction_decomposition

    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.

  3. Heaviside cover-up method - Wikipedia

    en.wikipedia.org/wiki/Heaviside_cover-up_method

    When a partial fraction term has a single (i.e. unrepeated) binomial in the denominator, the numerator is a residue of the function defined by the input fraction. We calculate each respective numerator by (1) taking the root of the denominator (i.e. the value of x that makes the denominator zero) and (2) then substituting this root into the ...

  4. Separation of variables - Wikipedia

    en.wikipedia.org/wiki/Separation_of_variables

    or equivalently, = ()because of the substitution rule for integrals.. If one can evaluate the two integrals, one can find a solution to the differential equation. Observe that this process effectively allows us to treat the derivative as a fraction which can be separated.

  5. Category:Partial fractions - Wikipedia

    en.wikipedia.org/wiki/Category:Partial_fractions

    Pages in category "Partial fractions" The following 3 pages are in this category, out of 3 total. ... additional terms may apply. By using this site, ...

  6. Derivative - Wikipedia

    en.wikipedia.org/wiki/Derivative

    Partial fractions (Heaviside's method) ... It can be calculated in terms of the partial derivatives with respect to the ... -definition of limit. [3] If the ...

  7. Partial fractions in complex analysis - Wikipedia

    en.wikipedia.org/wiki/Partial_fractions_in...

    In complex analysis, a partial fraction expansion is a way of writing a meromorphic function as an infinite sum of rational functions and polynomials. When f ( z ) {\displaystyle f(z)} is a rational function, this reduces to the usual method of partial fractions .

  8. Equating coefficients - Wikipedia

    en.wikipedia.org/wiki/Equating_coefficients

    A similar problem, involving equating like terms rather than coefficients of like terms, arises if we wish to de-nest the nested radicals + to obtain an equivalent expression not involving a square root of an expression itself involving a square root, we can postulate the existence of rational parameters d, e such that

  9. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    A continued fraction is an expression of the form = + + + + + where the a n (n > 0) are the partial numerators, the b n are the partial denominators, and the leading term b 0 is called the integer part of the continued fraction.

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