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  2. Multiplication theorem - Wikipedia

    en.wikipedia.org/wiki/Multiplication_theorem

    The duplication formula and the multiplication theorem for the gamma function are the prototypical examples. The duplication formula for the gamma function is (+) = ().It is also called the Legendre duplication formula [1] or Legendre relation, in honor of Adrien-Marie Legendre.

  3. Duplication - Wikipedia

    en.wikipedia.org/wiki/Duplication

    Duplication, or doubling, multiplication by 2; Duplication matrix, a linear transformation dealing with half-vectorization; Doubling the cube, a problem in geometry also known as duplication of the cube; A type of multiplication theorem called the Legendre duplication formula or simply "duplication formula"

  4. Two-body problem in general relativity - Wikipedia

    en.wikipedia.org/wiki/Two-body_problem_in...

    His answer came in his law of universal gravitation, which states that the force between a mass M and another mass m is given by the formula =, where r is the distance between the masses and G is the gravitational constant. Given this force law and his equations of motion, Newton was able to show that two point masses attracting each other ...

  5. Mathematics of general relativity - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_general...

    The metric tensor is a central object in general relativity that describes the local geometry of spacetime (as a result of solving the Einstein field equations). Using the weak-field approximation, the metric tensor can also be thought of as representing the 'gravitational potential'. The metric tensor is often just called 'the metric'.

  6. Duplication and elimination matrices - Wikipedia

    en.wikipedia.org/wiki/Duplication_and...

    The duplication matrix is the unique (+) matrix which, for any ... The explicit formula for calculating the duplication matrix for a ...

  7. NFL playoff scenarios Week 15: Vikings, Steelers, Texans have ...

    www.aol.com/nfl-playoff-scenarios-week-15...

    One NFL team's playoff clinching scenario is already off the table for Week 15, but several others still have a path to seal a spot on Sunday.

  8. Intersecting chords theorem - Wikipedia

    en.wikipedia.org/wiki/Intersecting_chords_theorem

    In Euclidean geometry, the intersecting chords theorem, or just the chord theorem, is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. It is Proposition 35 of Book 3 of Euclid's Elements.

  9. Muscle cramps are a pain. These expert-approved tips ... - AOL

    www.aol.com/muscle-cramps-pain-expert-approved...

    At one point or another, we’ve all experienced the unexpected, intense pain of a muscle cramp.. Muscle cramps, also known as muscle spasms or charley horses, are the involuntary contraction of ...

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