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2. Solving quadratic equations with continued fractions - Wikipedia

   en.wikipedia.org/wiki/Solving_quadratic...

   By applying the fundamental recurrence formulas we may easily compute the successive convergents of this continued fraction to be 1, 3/2, 7/5, 17/12, 41/29, 99/70, 239/169, ..., where each successive convergent is formed by taking the numerator plus the denominator of the preceding term as the denominator in the next term, then adding in the ...

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

   A complex fraction is a fraction whose numerator or denominator, or both, contains a fraction. A simple fraction contains no fraction either in its numerator or its denominator. A fraction is in lowest terms if the only factor common to the numerator and the denominator is 1. An expression which is not in fractional form is an integral ...

5. 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.

6. Finite difference coefficient - Wikipedia

   en.wikipedia.org/wiki/Finite_difference_coefficient

   Derivative Accuracy −5 −4 −3 −2 −1 0 1 2 3 4 5 1 2 −1/2: 0: 1/2: 4 1/12: −2/3: 0: 2/3: −1/12: 6 −1/60: 3/20: −3/4: 0: 3/4: −3/20: 1/60: 8 1/280 ...

7. Mixture fraction - Wikipedia

   en.wikipedia.org/wiki/Mixture_fraction

   Mixture fraction is a quantity used in combustion studies that measures the mass fraction of one stream of a mixture formed by two feed streams, one the fuel stream and the other the oxidizer stream. [ 1 ] [ 2 ] Both the feed streams are allowed to have inert gases. [ 3 ]