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  2. Polynomial expansion - Wikipedia

    en.wikipedia.org/wiki/Polynomial_expansion

    Polynomial expansion. In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by ...

  3. Brillouin and Langevin functions - Wikipedia

    en.wikipedia.org/wiki/Brillouin_and_Langevin...

    The Brillouin and Langevin functions are a pair of special functions that appear when studying an idealized paramagnetic material in statistical mechanics. These functions are named after French physicists Paul Langevin and Léon Brillouin who contributed to the microscopic understanding of magnetic properties of matter.

  4. Two envelopes problem - Wikipedia

    en.wikipedia.org/wiki/Two_envelopes_problem

    The problem concerns two envelopes, each containing an unknown amount of money. The two envelopes problem, also known as the exchange paradox, is a paradox in probability theory. It is of special interest in decision theory and for the Bayesian interpretation of probability theory. It is a variant of an older problem known as the necktie paradox .

  5. Boole's expansion theorem - Wikipedia

    en.wikipedia.org/wiki/Boole's_expansion_theorem

    Boole's expansion theorem. Boole's expansion theorem, often referred to as the Shannon expansion or decomposition, is the identity: , where is any Boolean function, is a variable, is the complement of , and and are with the argument set equal to and to respectively. The terms and are sometimes called the positive and negative Shannon cofactors ...

  6. Draw-a-Person test - Wikipedia

    en.wikipedia.org/wiki/Draw-a-Person_test

    The Draw-a-Person test is commonly used as a measure of intelligence in children, but this has been criticized. Kana Imuta et al. (2013) compared scores on the Draw-A-Person Intellectual Ability Test to scores on the Wechsler Preschool and Primary Scale of Intelligence in 100 children and found a very low correlation (r=0.27). [3]

  7. Why are the Texas Rangers the only MLB team without a Pride ...

    www.aol.com/sports/why-texas-rangers-only-mlb...

    June 24, 2024 at 4:20 PM. All but one of the 30 of the Major League Baseball teams are hosting Pride Nights this season, most during Pride Month, which celebrates and supports LGBTQ+ culture and ...

  8. Newton's method - Wikipedia

    en.wikipedia.org/wiki/Newton's_method

    This is the case, for example, if f(x) = x 3 − 2x + 2. For this function, it is even the case that Newton's iteration as initialized sufficiently close to 0 or 1 will asymptotically oscillate between these values. For example, Newton's method as initialized at 0.99 yields iterates 0.99, −0.06317, 1.00628, 0.03651, 1.00196, 0.01162, 1.00020 ...

  9. Rush Replay X 3 - Wikipedia

    en.wikipedia.org/wiki/Rush_Replay_X_3

    Rush Replay X 3 also includes an audio CD of the above show. Box sets purchased from Best Buy contain the following exclusive audio CD tracks: "Limelight" and "Closer to the Heart" from Exit...Stage Left and "The Spirit of Radio" and "Tom Sawyer" from the A Show of Hands video soundtracks. However, the track listing on the Best Buy version of X ...