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2. 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 ...

3. Formulas for generating Pythagorean triples - Wikipedia

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

   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 ). Then its numerator and denominator are the sides, b and a, of a right triangle, and the hypotenuse is b + 1. For example:

4. Solving quadratic equations with continued fractions - Wikipedia

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

   If the discriminant is zero the fraction converges to the single root of multiplicity two. If the discriminant is positive the equation has two real roots, and the continued fraction converges to the larger (in absolute value) of these. The rate of convergence depends on the absolute value of the ratio between the two roots: the farther that ...

5. Difference of two squares - Wikipedia

   en.wikipedia.org/wiki/Difference_of_two_squares

   Conversely, if this identity holds in a ring R for all pairs of elements a and b, then R is commutative. To see this, apply the distributive law to the right-hand side of the equation and get To see this, apply the distributive law to the right-hand side of the equation and get

6. Federal response to mysterious drone sightings draws ...

   www.aol.com/news/federal-response-mysterious...

   Lawmakers from across the political spectrum on Sunday criticized the federal government’s response to mysterious drone sightings in the Northeast, as officials emphasize there is no evidence of ...

7. Are the Chiefs the NFL's worst-ever 9-0 team? - AOL

   www.aol.com/sports/chiefs-nfls-worst-ever-9...

   “The thing that has impressed me with this team is that they don’t get down,” Chiefs head coach Andy Reid said Monday. “That’s not what they are.

8. Christian Pulisic, now in his No. 10 era, is playing the best ...

   www.aol.com/sports/christian-pulisic-now-no-10...

   For roughly half a decade, and for the vast majority of his groundbreaking career, Christian Pulisic could be confidently described as a winger.He was a versatile attacker who often wore a No. 10 ...

9. Fractionation - Wikipedia

   en.wikipedia.org/wiki/Fractionation

   [1] [2] Fractions are collected based on differences in a specific property of the individual components. A common trait in fractionations is the need to find an optimum between the amount of fractions collected and the desired purity in each fraction. Fractionation makes it possible to isolate more than two components in a mixture in a single run.