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2. Rationalisation (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Rationalisation_(mathematics)

   In elementary algebra, root rationalisation (or rationalization) is a process by which radicals in the denominator of an algebraic fraction are eliminated.. If the denominator is a monomial in some radical, say , with k < n, rationalisation consists of multiplying the numerator and the denominator by , and replacing by x (this is allowed, as, by definition, a n th root of x is a number that ...

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. Algebraic fraction - Wikipedia

   en.wikipedia.org/wiki/Algebraic_fraction

   [2] [3] Rational fractions are also known as rational expressions. A rational fraction () is called proper if ⁡ < ⁡ (), and improper otherwise. For example, the rational fraction is proper, and the rational fractions + + + and + + are improper. Any improper rational fraction can be expressed as the sum of a polynomial (possibly constant ...

5. List of integrals of rational functions - Wikipedia

   en.wikipedia.org/wiki/List_of_integrals_of...

   The following is a list of integrals (antiderivative functions) of rational functions. Any rational function can be integrated by partial fraction decomposition of the function into a sum of functions of the form:

6. 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.

7. PayPal fixes outage that affected thousands worldwide - AOL

   www.aol.com/news/paypal-outage-affects-thousands...

   The company experienced a system issue that affected multiple products including account withdrawals, peer-to-peer payment service Venmo, online checkout and crypto. PayPal said the issue, which ...