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2. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or ⁠ ⁠, where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include ⁠ 1 2 ⁠, − ⁠ 8 5 ⁠, ⁠ −8 5 ⁠, and ⁠ 8 −5 ⁠.

3. Partial fraction decomposition - Wikipedia

   en.wikipedia.org/wiki/Partial_fraction_decomposition

   The concept was discovered independently in 1702 by both Johann Bernoulli and Gottfried Leibniz. [3] In symbols, the partial fraction decomposition of a rational fraction of the form where f and g are polynomials, is the expression of the rational fraction as. {\displaystyle {\frac {f (x)} {g (x)}}=p (x)+\sum _ {j} {\frac {f_ {j} (x)} {g_ {j ...

4. Continued fraction - Wikipedia

   en.wikipedia.org/wiki/Continued_fraction

   A finite regular continued fraction, where is a non-negative integer, is an integer, and is a positive integer, for . A continued fraction is a mathematical expression that can be writen as a fraction with a denominator that is a sum that contains another simple or continued fraction. Depending on whether this iteration terminates with a simple ...

5. Heaviside cover-up method - Wikipedia

   en.wikipedia.org/wiki/Heaviside_cover-up_method

   Calculus. The Heaviside cover-up method, named after Oliver Heaviside, is a technique for quickly determining the coefficients when performing the partial-fraction expansion of a rational function in the case of linear factors. [1][2][3][4]

6. Formulas for generating Pythagorean triples - Wikipedia

   en.wikipedia.org/wiki/Formulas_for_generating...

   Michael Stifel published the following method in 1544. [3] [4] Consider the sequence of mixed numbers,,,, … with = + +.To calculate a Pythagorean triple, take any term of this sequence and convert it to an improper fraction (for mixed number , the corresponding improper fraction is ).

7. Solving quadratic equations with continued fractions - Wikipedia

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

   Solving quadratic equations with continued fractions. In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is. where a ≠ 0. The quadratic equation on a number can be solved using the well-known quadratic formula, which can be derived by completing the square. That formula always gives the roots ...

8. New York Jets retain OC Nathaniel Hackett despite dismissing ...

   www.aol.com/york-jets-retain-oc-nathaniel...

   Through the first five games, the Jets rank 27th out of 32 teams in total offense (286.6 yards per game) and dead last in rushing (80.4 ypg), despite having a four-time MVP quarterback in Aaron ...

9. Algebraic fraction - Wikipedia

   en.wikipedia.org/wiki/Algebraic_fraction

   Algebraic fraction. In algebra, an algebraic fraction is a fraction whose numerator and denominator are algebraic expressions. Two examples of algebraic fractions are and . Algebraic fractions are subject to the same laws as arithmetic fractions. A rational fraction is an algebraic fraction whose numerator and denominator are both polynomials.