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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. 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.

  4. Correlation (projective geometry) - Wikipedia

    en.wikipedia.org/wiki/Correlation_(projective...

    A correlation of the projective space P(V) is an inclusion-reversing permutation of the proper subspaces of P(V). [ 3 ] He proves a theorem stating that a correlation φ interchanges joins and intersections, and for any projective subspace W of P ( V ), the dimension of the image of W under φ is ( n − 1) − dim W , where n is the dimension ...

  5. 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.

  6. Somers' D - Wikipedia

    en.wikipedia.org/wiki/Somers'_D

    In practice, Somers' D is most often used when the dependent variable Y is a binary variable, [2] i.e. for binary classification or prediction of binary outcomes including binary choice models in econometrics.

  7. Montgomery's pair correlation conjecture - Wikipedia

    en.wikipedia.org/wiki/Montgomery's_pair...

    Hugh Montgomery at Oberwolfach in 2008. In mathematics, Montgomery's pair correlation conjecture is a conjecture made by Hugh Montgomery () that the pair correlation between pairs of zeros of the Riemann zeta function (normalized to have unit average spacing) is

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