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  2. Ornstein–Zernike equation - Wikipedia

    en.wikipedia.org/wiki/Ornstein–Zernike_equation

    The direct correlation function is only used in connection with the OZ equation, which can actually be seen as its definition. [2] Besides the OZ equation, other methods for the computation of the pair correlation function include the virial expansion at low densities, and the Bogoliubov–Born–Green–Kirkwood–Yvon (BBGKY) hierarchy. Any ...

  3. Correlation function (statistical mechanics) - Wikipedia

    en.wikipedia.org/wiki/Correlation_function...

    Correlation functions are typically measured with scattering experiments. For example, x-ray scattering experiments directly measure electron-electron equal-time correlations. [7] From knowledge of elemental structure factors, one can also measure elemental pair correlation functions. See Radial distribution function for further information.

  4. Complementary sequences - Wikipedia

    en.wikipedia.org/wiki/Complementary_sequences

    A new pair of complementary sequences can be formed as [a b] and [a −b] where [..] denotes concatenation and a and b are a pair of CS; A new pair of sequences can be formed as {a b} and {a −b} where {..} denotes interleaving of sequences. A new pair of sequences can be formed as a + b and a − b.

  5. Radial distribution function - Wikipedia

    en.wikipedia.org/wiki/Radial_distribution_function

    calculation of () Radial distribution function for the Lennard-Jones model fluid at =, =.. In statistical mechanics, the radial distribution function, (or pair correlation function) () in a system of particles (atoms, molecules, colloids, etc.), describes how density varies as a function of distance from a reference particle.

  6. Covariance and correlation - Wikipedia

    en.wikipedia.org/wiki/Covariance_and_correlation

    Notably, correlation is dimensionless while covariance is in units obtained by multiplying the units of the two variables. If Y always takes on the same values as X , we have the covariance of a variable with itself (i.e. σ X X {\displaystyle \sigma _{XX}} ), which is called the variance and is more commonly denoted as σ X 2 , {\displaystyle ...

  7. How Jimmy Carter Formed an Unlikely Friendship with a ... - AOL

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    Mattie Stepanek first learned about Jimmy Carter when he was just 6 years old. While most kids his age might not be interested in a former U.S. president, Mattie was different. "He said, 'Mommy ...

  8. NFL Week 15 bold predictions: Which players and teams will ...

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    NFL Week 15 features an exciting schedule, with several playoff contenders squaring off against one another. Here are our bold predictions.

  9. Bivariate data - Wikipedia

    en.wikipedia.org/wiki/Bivariate_data

    [5] Correlations between the two variables are determined as strong or weak correlations and are rated on a scale of –1 to 1, where 1 is a perfect direct correlation, –1 is a perfect inverse correlation, and 0 is no correlation. In the case of long legs and long strides, there would be a strong direct correlation. [6]

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