The angular correlation function is a function which measures the projected clustering of galaxies, due to discrepancies between their actual and expected...

Hellings-Downs curve is the expected correlations of the timing residuals from pairs of pulsars as a function of their angular separation on the sky as seen...

variation is not significant and is removed by applying the angular correlation function, giving power spectrum term  C ℓ ≡ ⟨ | a ℓ m | 2 ⟩ . {\displaystyle...

The perturbed γ-γ angular correlation, PAC for short or PAC-Spectroscopy, is a method of nuclear solid-state physics with which magnetic and electric...

In statistics, the Pearson correlation coefficient (PCC) is a correlation coefficient that measures linear correlation between two sets of data. It is...

cosine similarity. The complement of the angular distance metric can then be used to define angular similarity function bounded between 0 and 1, inclusive....

gif Landy, S. D.; Szalay, A. S. (1993). "Bias and variance of angular correlation functions". The Astrophysical Journal. 412: 64. Bibcode:1993ApJ...412...

Uncorrelated Universe: Statistical Anisotropy and the Vanishing Angular Correlation Function in WMAP Years 1-3". Physical Review D. 75 (2): 023507. arXiv:astro-ph/0605135...

Angular Correlation of Electron Positron Annihilation Radiation (ACAR or ACPAR) is a technique of solid state physics to investigate the electronic structure...

Walsh diagrams, often called angular coordinate diagrams or correlation diagrams, are representations of calculated orbital binding energies of a molecule...

analyzed using the intensity or photon autocorrelation function (also known as photon correlation spectroscopy – PCS or quasi-elastic light scattering –...

for an atomic orbital that determines its orbital angular momentum and describes aspects of the angular shape of the orbital. The azimuthal quantum number...

electron correlation. Since, DFT has become an important tool for methods of nuclear spectroscopy such as Mössbauer spectroscopy or perturbed angular correlation...

one-determinant wave function at all. This is the case when electron correlation is large. Fundamentally, an atomic orbital is a one-electron wave function, even though...

respectively, the initial and final angular momenta of the atom. The corresponding quantum numbers λ and μ (z-axis angular momentum) must satisfy | J i − J...

fields yields the complex degree of (second-order) coherence (correlation coefficient function): γ 12 ( τ ) = Γ 12 ( τ ) I 1 I 2 {\displaystyle \gamma _{12}(\tau...

more rapid basis set convergence than wave function methods. Adopting a similar methodology to the correlation-consistent series, Frank Jensen introduced...

related to the covariance matrix is the matrix of Pearson product-moment correlation coefficients between each of the random variables in the random vector...

performed an experiment in 1959 in Berkeley and found an unexpected angular correlation among identical pions, discovering the ρ0 resonance, by means of...

takes a function as input then outputs another function that describes the extent to which various frequencies are present in the original function. The...

{\displaystyle T\to \infty } becomes the Fourier transform of a cross-correlation function. S x y ( f ) = ∫ − ∞ ∞ [ lim T → ∞ 1 T ∫ − ∞ ∞ x T ∗ ( t − τ ) y...

The orbital angular momentum of light (OAM) is the component of angular momentum of a light beam that is dependent on the field spatial distribution,...

By computing angular intensity correlations for each image and averaging these over all snapshots, the average 2-point correlation function can be subjected...

Earth), there are two commonly used parametrizations of its position: angular coordinates (like latitude/longitude), which neatly describe large movements...

potential hill. A signature of the late-time ISW is a non-zero cross-correlation function between the galaxy density (the number of galaxies per square degree)...

gravitational waves would produce a quadrupolar correlation between different pulsar pairs as a function of their angular separations on the sky. This work was...

Standard Model Local quantum physics Nonlocal Effective field theory Correlation function (quantum field theory) Renormalizable Cutoff Infrared divergence...

exhibit periodic statistical properties. The Spectral Correlation Function highlights correlations between frequencies separated by a cyclic frequency α...

(6.283...). Kendall tau rank correlation coefficient, a measure of rank correlation in statistics Ramanujan's tau function in number theory shear stress...

component at 45°. These correlation functions are typically computed by averaging over many pairs of galaxies. The last correlation function, ξ × + {\displaystyle...