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Longer titles found: Correlation function (astronomy) (view), Correlation function (disambiguation) (view), Correlation function (quantum field theory) (view), Correlation function (statistical mechanics) (view), Angular correlation function (view), Reverse correlation function (view)

searching for Correlation function 164 found (320 total)

alternate case: correlation function

Radial distribution function (4,541 words) [view diff] exact match in snippet view article find links to article

statistical mechanics, the radial distribution function, (or pair correlation function) g ( r ) {\displaystyle g(r)} in a system of particles (atoms, molecules

Factorial moment measure (2,171 words) [view diff] exact match in snippet view article find links to article

product density, as well as coincidence density, joint intensity , correlation function or multivariate frequency spectrum The first and second factorial

Vertex function (410 words) [view diff] exact match in snippet view article find links to article

perturbation theory. In particular, it is the one particle irreducible correlation function involving the fermion ψ {\displaystyle \psi } , the antifermion ψ

Doppler echocardiography (2,290 words) [view diff] exact match in snippet view article find links to article

cross correlation function crosses zero. As shown in the right figure, parabolic fit can help find the real peak of the cross correlation function. The

Raised-cosine filter (1,266 words) [view diff] exact match in snippet view article find links to article

{\displaystyle B=2BW=R_{S}(\beta +1),\quad (0<\beta <1)} The auto-correlation function of raised cosine function is as follows: R ( τ ) = T [ sinc ⁡ ( τ

QCD sum rules (397 words) [view diff] exact match in snippet view article find links to article

operators and operator product expansions of them. The vacuum to vacuum correlation function for the product of two such operators can be reexpressed as ⟨ 0 |

Hypernetted-chain equation (688 words) [view diff] exact match in snippet view article find links to article

Ornstein–Zernike equation which relates the direct correlation function to the total correlation function. It is commonly used in fluid theory to obtain e

Fluorescence cross-correlation spectroscopy (1,594 words) [view diff] exact match in snippet view article find links to article

signal-to-noise ratio, and at a microsecond time scale. The normalized cross-correlation function is defined for two fluorescent species, G and R, which are independent

Dynamic structure factor (626 words) [view diff] exact match in snippet view article find links to article

time-dependent pair correlation function. It can be shown (see below), that the intermediate scattering function is the correlation function of the Fourier

Time of arrival (1,035 words) [view diff] exact match in snippet view article find links to article

(third plot) is the cross-correlation function ( P 1 ⋆ P 0 ) {\displaystyle (P_{1}\star P_{0})} . The cross-correlation function slides one curve in time

Extension neural network (1,589 words) [view diff] exact match in snippet view article find links to article

extension correlation function between matter-element models like shown in equation 2, and extension sets. Extension correlation function is used to

Photon antibunching (1,038 words) [view diff] exact match in snippet view article find links to article

-\langle a^{\dagger }a\rangle ^{2}.} The second-order intensity correlation function (for zero delay time) is defined as g ( 2 ) ( 0 ) = ⟨ ( a † ) 2 a

Cyclostationary process (3,150 words) [view diff] case mismatch in snippet view article find links to article

signals, which exhibit periodic statistical properties. The Spectral Correlation Function highlights correlations between frequencies separated by a cyclic

Solvent model (4,370 words) [view diff] exact match in snippet view article find links to article

correlation function, accounts for the effects of a third particle in a system. The indirect correlation function is given as the direct correlation function

Resonance fluorescence (5,628 words) [view diff] exact match in snippet view article find links to article

solution must take the form of a two-time correlation function as opposed to the above one-time correlation function. This solution appears as ⟨ σ + ( 0 )

Fourier shell correlation (784 words) [view diff] exact match in snippet view article find links to article

Fourier ring correlation (FRC); also known as: spatial frequency correlation function. F S C ( r ) = ∑ r i ∈ r F 1 ( r i ) ⋅ F 2 ( r i ) ∗ ∑ r i ∈ r |

X-ray photon correlation spectroscopy (364 words) [view diff] exact match in snippet view article find links to article

coherent speckle pattern fluctuates in time, one can measure a time correlation function, and thus measure the timescale processes of interest (diffusion

Mandel Q parameter (388 words) [view diff] exact match in snippet view article find links to article

and g ( 2 ) {\displaystyle g^{(2)}} is the normalized second-order correlation function as defined by Glauber. Negative values of Q corresponds to state

Two-dimensional conformal field theory (5,446 words) [view diff] exact match in snippet view article find links to article

corresponding degenerate representation. An N {\displaystyle N} -point correlation function is a number that depends linearly on N {\displaystyle N} fields,

Spectral correlation density (1,432 words) [view diff] exact match in snippet view article find links to article

(SCD), sometimes also called the cyclic spectral density or spectral correlation function, is a function that describes the cross-spectral density of all pairs

Jerome K. Percus (217 words) [view diff] exact match in snippet view article find links to article

foundation for several approximation methods for computing the pair correlation function, and thereby allow the derivation of thermodynamic properties from

Weak gravitational lensing (5,492 words) [view diff] exact match in snippet view article find links to article

typically computed by averaging over many pairs of galaxies. The last correlation function, ξ × + {\displaystyle \xi _{\times +}} , is not affected at all by

Peter Schofield (physicist) (165 words) [view diff] exact match in snippet view article

written with Peter Egelstaff, on the evaluation of the velocity auto-correlation function has become a classic in the field. In 1979, Schofield became chairman

Michael E. Brown (1,382 words) [view diff] exact match in snippet view article find links to article

completed his senior thesis, titled "Simulating the measurement of the correlation function of the Shane–Wirtanen galaxy counts", under the supervision of Edward

Coupled cluster (4,353 words) [view diff] exact match in snippet view article find links to article

it was also called "coupled-pair MET (CPMET)". J. Čížek used the correlation function of MET and used Goldstone-type perturbation theory to get the energy

Taylor microscale (616 words) [view diff] exact match in snippet view article find links to article

not entirely straightforward, requiring formation of certain flow correlation function(s), then expanding in a Taylor series and using the first non-zero

Minimax estimator (1,961 words) [view diff] exact match in snippet view article find links to article

parameter requires the knowledge of parameter correlation function. If the knowledge of this correlation function is not perfectly available, a popular minimax

Autocovariance (1,342 words) [view diff] exact match in snippet view article find links to article

Cross-correlation function Autocovariance function Cross-covariance function For deterministic signals Autocorrelation function Cross-correlation function Autocovariance

Idit Zehavi (1,107 words) [view diff] case mismatch in snippet view article find links to article

et al. (2005). "The Luminosity and Color Dependence of the Galaxy Correlation Function". The Astrophysical Journal. 630 (1): 1–27. arXiv:astro-ph/0408569v2

Higher order coherence (5,460 words) [view diff] exact match in snippet view article find links to article

correlations in condensed matter physics. The normalized first order correlation function is written as: γ ( 1 ) ( r 1 , t 1 ; r 2 , t 2 ) = ⟨ E ∗ ( r 1 ,

Covariance and correlation (638 words) [view diff] exact match in snippet view article find links to article

Cross-correlation function Autocovariance function Cross-covariance function For deterministic signals Autocorrelation function Cross-correlation function Autocovariance

Langevin equation (5,246 words) [view diff] exact match in snippet view article find links to article

{\eta }}\left(t\right)} has a Gaussian probability distribution with correlation function ⟨ η i ( t ) η j ( t ′ ) ⟩ = 2 λ k B T δ i , j δ ( t − t ′ ) , {\displaystyle

Thirring model (766 words) [view diff] exact match in snippet view article find links to article

and B. Klaiber extended the explicit solution to any multipoint correlation function of the fields. The mass spectrum of the model and the scattering

Gerhart Lüders (454 words) [view diff] exact match in snippet view article find links to article

356–358. doi:10.1007/978-3-540-70626-7_110. ISBN 978-3-540-70622-9. The method of the correlation function in superconductivity. Springer 1971 v t e

Percus–Yevick approximation (904 words) [view diff] exact match in snippet view article find links to article

is named after Jerome K. Percus and George J. Yevick. The direct correlation function represents the direct correlation between two particles in a system

Single-photon source (3,333 words) [view diff] exact match in snippet view article find links to article

single-photon nature of a source can be quantized using the second-order correlation function g ( 2 ) ( τ ) {\displaystyle g^{(2)}(\tau )} . Ideal single-photon

Acoustic location (2,234 words) [view diff] exact match in snippet view article find links to article

the source direction using the cross-correlation function between each probes' signal. The cross-correlation function between two microphones is defined

Transition path sampling (1,540 words) [view diff] exact match in snippet view article find links to article

constant kAB for the transition from A to B is derived from the correlation function C ( t ) = ⟨ h A ( 0 ) h B ( t ) ⟩ ⟨ h A ⟩ {\displaystyle C(t)={\frac

Stephen Cusack (biologist) (559 words) [view diff] exact match in snippet view article

H.; Parrinello, M.; Tosi, M. P. (1976). "Electron-electron pair correlation function in solid and molten nearly-free electron metals". Journal of Physics

Life-time of correlation (177 words) [view diff] exact match in snippet view article find links to article

coefficient ρ, expressed as an autocorrelation function or cross-correlation function, depends on the lag-time between the times being considered. Typically

Bilinear time–frequency distribution (3,916 words) [view diff] exact match in snippet view article find links to article

spectral density P x ( f ) {\displaystyle P_{x}(f)} and the signal auto-correlation function R x ( τ ) {\displaystyle R_{x}(\tau )} in the case of a stationary

Two-dimensional gas (1,119 words) [view diff] exact match in snippet view article find links to article

of 2D gases; for instance it enables to directly visualize a pair correlation function of a 2D molecular gas in a real space. If the surface coverage of

Radu Bălescu (286 words) [view diff] case mismatch in snippet view article find links to article

Belyi, V. V.; Kukharenko, Yu. A.; Wallenborn, J. (6 May 1996). "Pair Correlation Function and Nonlinear Kinetic Equation for a Spatially Uniform Polarizable

Eyring equation (1,077 words) [view diff] exact match in snippet view article find links to article

adjacent empty site is between 0.25 and 0.5. Typically, reactive flux correlation function (RFCF) simulations are performed in order to explicitly calculate

Kosambi–Karhunen–Loève theorem (10,711 words) [view diff] exact match in snippet view article find links to article

noise, which is usually assumed zero mean Gaussian process with correlation function R N ( t , s ) = E [ N ( t ) N ( s ) ] {\displaystyle R_{N}(t,s)=E[N(t)N(s)]}

Document mosaicing (1,912 words) [view diff] exact match in snippet view article find links to article

of the paper is indicated by the peak in the correlation function. The peak in the correlation function indicates the motion of the paper. The template

Cross-covariance (1,365 words) [view diff] exact match in snippet view article find links to article

Cross-correlation function Autocovariance function Cross-covariance function For deterministic signals Autocorrelation function Cross-correlation function Autocovariance

Joachim Frank (1,210 words) [view diff] exact match in snippet view article find links to article

of electron micrographs, and alignment of images using the cross-correlation function. As a Harkness postdoctoral fellow, he had the opportunity to study

Cross-covariance matrix (1,237 words) [view diff] exact match in snippet view article find links to article

Cross-correlation function Autocovariance function Cross-covariance function For deterministic signals Autocorrelation function Cross-correlation function Autocovariance

Notation system (1,087 words) [view diff] exact match in snippet view article find links to article

representation of a perturbative contribution to the transition amplitude or correlation function of a quantum mechanical or statistical field theory Structural formulas

Hanbury Brown and Twiss effect (2,886 words) [view diff] exact match in snippet view article find links to article

cannot produce photocurrents that vary on such short timescales. The correlation function ⟨ i 1 i 2 ⟩ ( τ ) {\displaystyle \langle i_{1}i_{2}\rangle (\tau

Hellings-Downs curve (1,326 words) [view diff] exact match in snippet view article find links to article

angular separation on the sky as seen from Earth. This theoretical correlation function assumes Einstein's general relativity and a gravitational wave background

Accelerating expansion of the universe (4,805 words) [view diff] exact match in snippet view article find links to article

predicted by different cosmological models. Peaks have been found in the correlation function (the probability that two galaxies will be a certain distance apart)

Kirkwood–Buff solution theory (1,633 words) [view diff] exact match in snippet view article find links to article

function (RDF), also termed the pair distribution function or the pair correlation function, is a measure of local structuring in a mixture. The RDF between

Super-resolution optical fluctuation imaging (2,242 words) [view diff] exact match in snippet view article find links to article

value assigned to a pixel can be imagined as the integral over a correlation function. The finally assigned pixel value intensities are a measure of the

Non-linear sigma model (1,288 words) [view diff] exact match in snippet view article find links to article

needed at around the distance scale where the two point connected correlation function is of the same order as the curvature of the target manifold. This

Homometric structures (164 words) [view diff] case mismatch in snippet view article find links to article

; Jiao Y; Torquato S (2012). "Density of States for a Specified Correlation Function and the Energy Landscape". Phys. Rev. Lett. 108 (8): 080601. arXiv:1201

Covariance matrix (5,447 words) [view diff] exact match in snippet view article find links to article

Cross-correlation function Autocovariance function Cross-covariance function For deterministic signals Autocorrelation function Cross-correlation function Autocovariance

Periodogram (1,247 words) [view diff] exact match in snippet view article find links to article

) , {\displaystyle x(t),} is the Fourier transform of its auto-correlation function (see Cross-correlation theorem, Spectral density, and Wiener–Khinchin

Resolution (structural biology) (1,121 words) [view diff] exact match in snippet view article

correlation (FRC), which is also known as the spatial frequency correlation function. The FSC is a comparison of the Fourier transforms of two different

Spatial analysis (9,992 words) [view diff] exact match in snippet view article find links to article

the recent methods is presented by Tahmasebi et al. uses a cross-correlation function to improve the spatial pattern reproduction. They call their MPS

Quantum dot single-photon source (3,232 words) [view diff] exact match in snippet view article find links to article

single photons can be proven by measuring the second order intensity correlation function. The spontaneous emission rate of the emitted photons can be enhanced

Dynamical heterogeneity (482 words) [view diff] exact match in snippet view article find links to article

picoseconds to seconds, minutes, or more. At high temperatures, the correlation function has a ballistic regime for very short times (when particles do not

Error analysis (mathematics) (1,070 words) [view diff] exact match in snippet view article

A^{2}\rangle -\langle A\rangle ^{2}}}.} We can then use the auto correlation function to estimate the error bar. Luckily, we have a much simpler method

Carl A. Wirtanen (393 words) [view diff] exact match in snippet view article find links to article

1989). "The Shane Wirtanen counts – Observability of the galaxy correlation function" (PDF). Astrophysical Journal. 338: 605–617. Bibcode:1989ApJ...338

Random matrix (7,081 words) [view diff] exact match in snippet view article find links to article

symmetric functions of their variables. In particular, the one-point correlation function, or density of states, is R n , V ( 1 ) ( x 1 ) = n ∫ R d x 2 ⋯ ∫

Wiener–Khinchin theorem (1,811 words) [view diff] exact match in snippet view article find links to article

real-valued. This is a kind of spectral decomposition of the auto-correlation function. F is called the power spectral distribution function and is a statistical

Maximum entropy spectral estimation (598 words) [view diff] exact match in snippet view article find links to article

attempts to improve the spectral resolution by extrapolating the correlation function beyond the maximum lag in such a way that the entropy of the corresponding

Brownian ratchet (2,177 words) [view diff] exact match in snippet view article find links to article

by mean-zero (unbiased) nonequilibrium noise with a nonvanishing correlation function of odd order greater than one. The ratchet and pawl was first discussed

Bose–Einstein correlations (2,135 words) [view diff] exact match in snippet view article find links to article

the fundamental starting point of Bose–Einstein correlations. The correlation function of order n defines the transition amplitudes between states containing

Initial and final state radiation (660 words) [view diff] exact match in snippet view article find links to article

representation of a perturbative contribution to the transition amplitude or correlation function of a quantum mechanical or statistical field theory. Within the canonical

Determinantal point process (1,523 words) [view diff] exact match in snippet view article find links to article

process on Λ {\displaystyle \Lambda } with a joint intensity or correlation function (which is the density of its factorial moment measure) given by ρ

1/N expansion (758 words) [view diff] exact match in snippet view article find links to article

perturbatively, the dominant contribution to the 2k-point connected correlation function is of the order (1/N)k-1 and the other terms are higher powers of

Binary offset carrier modulation (855 words) [view diff] exact match in snippet view article find links to article

difference with BPSK signals, create the so-called ambiguities in the correlation function. The BOC-modulated signals in GNSS can be processed either with a

Redshift survey (996 words) [view diff] exact match in snippet view article find links to article

Spectroscopic Survey: cosmological implications of the large-scale two-point correlation function". Monthly Notices of the Royal Astronomical Society. 425 (1): 415–437

Mori-Zwanzig formalism (1,733 words) [view diff] exact match in snippet view article find links to article

the observables that are orthogonal to the relevant variables. A correlation function is used as a scalar product, which is why the formalism can also

Kármán–Howarth equation (1,175 words) [view diff] exact match in snippet view article find links to article

r , t ) {\displaystyle f(r,t)} uniquely determines the two-point correlation function. Theodore von Kármán and Leslie Howarth derived the evolution equation

Hopper (microarchitecture) (1,624 words) [view diff] exact match in snippet view article

Muneo; Maddegedara, Lalith (April 2023). "Calculation of cross-correlation function accelerated by TensorFloat-32 Tensor Core operations on NVIDIA's

Bussgang theorem (3,394 words) [view diff] exact match in snippet view article find links to article

{ X ( t ) } {\displaystyle \left\{X(t)\right\}} , then the cross-correlation function of { X ( t ) } {\displaystyle \left\{X(t)\right\}} and { Y ( t )

Superconductor–insulator transition (769 words) [view diff] exact match in snippet view article find links to article

power law correlations (meaning that by measuring the two-point correlation function ⟨ Ψ ( 0 ) Ψ ( r ) ⟩ ∝ r − γ {\displaystyle \langle \Psi (0)\Psi (r)\rangle

Neutron spin echo (2,112 words) [view diff] exact match in snippet view article find links to article

corresponding contribution, which represents the (average) self-correlation function (in time) of the protons. For NSE spin incoherent scattering has

Electrophoretic light scattering (3,103 words) [view diff] exact match in snippet view article find links to article

solution (NaPSS; MW 400,000; 4 mg/mL in 10 mM NaCl). The oscillating correlation function shown by Fig. 4a is a result of interference between the scattered

Coherence (physics) (4,120 words) [view diff] exact match in snippet view article

expresses how well correlated the waves are as quantified by the cross-correlation function. Cross-correlation quantifies the ability to predict the phase of

Supercritical liquid–gas boundaries (939 words) [view diff] exact match in snippet view article find links to article

boundary between monotonic and oscillating asymptotics of the pair correlation function G ( r → ) {\displaystyle G({\vec {r}})} . The Widom line is a generalization

Axis of evil (cosmology) (1,344 words) [view diff] case mismatch in snippet view article

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

Structure of liquids and glasses (3,278 words) [view diff] exact match in snippet view article find links to article

are most commonly used. The pair distribution function (or pair correlation function) of a material describes the probability of finding an atom at a

Telman Aliev (532 words) [view diff] exact match in snippet view article find links to article

information, which allows determining the estimate of the cross-correlation function between the useful signal and the noise, and the noise variance,

Differential dynamic microscopy (1,398 words) [view diff] exact match in snippet view article find links to article

field of the scattered light: a direct measurement of the density correlation function g(r)" (PDF). Phys. Rev. Lett. 85 (7): 1416–1419. Bibcode:2000PhRvL

Single-molecule experiment (2,203 words) [view diff] exact match in snippet view article find links to article

whereas from bulk experiments, one usually obtains the decay of a correlation function. From the information contained in these unique functions (obtained

Sven Dag Wicksell (674 words) [view diff] exact match in snippet view article find links to article

(1919). "XXXVII. A general formula for the moments of the normal correlation function of any number of variates". The London, Edinburgh, and Dublin Philosophical

Stationary process (2,627 words) [view diff] exact match in snippet view article find links to article

linear, time-invariant (LTI) filters, it is helpful to think of the correlation function as a linear operator. Since it is a circulant operator (depends only

Code-division multiple access (4,745 words) [view diff] exact match in snippet view article find links to article

desired user. If the signal matches the desired user's code, then the correlation function will be high and the system can extract that signal. If the desired

Wiener filter (2,948 words) [view diff] exact match in snippet view article find links to article

explicit inversion of T is not required. In some articles, the cross correlation function is defined in the opposite way: R s w [ m ] = E { w [ n ] s [ n +

Numerical analytic continuation (1,030 words) [view diff] exact match in snippet view article find links to article

( ω ) {\displaystyle \sigma (\omega )} from the current-current correlation function values Π ( i ω n ) {\displaystyle \Pi (i\omega _{n})} at Matsubara

Partial correlation (3,475 words) [view diff] exact match in snippet view article find links to article

analysis, the partial autocorrelation function (sometimes "partial correlation function") of a time series is defined, for lag h {\displaystyle h} , as[citation

Yun Wang (1,223 words) [view diff] exact match in snippet view article find links to article

Yun (October 2013). "Modelling the anisotropic two-point galaxy correlation function on small scales and single-probe measurements of H(z), DA(z) and

Size-exclusion chromatography (3,901 words) [view diff] exact match in snippet view article find links to article

detection include flow-rate, concentration, and precision. Because a correlation function requires anywhere from 3–7 seconds to properly build, a limited number

Spectral density (5,666 words) [view diff] exact match in snippet view article find links to article

{\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

Classical-map hypernetted-chain method (678 words) [view diff] exact match in snippet view article find links to article

Groenveld; J. de Boer (1959). "New method for the calculation of the pair correlation function I". Physica. 25 (7–12): 792. Bibcode:1959Phy....25..792V. doi:10

Vibronic coupling (2,761 words) [view diff] exact match in snippet view article find links to article

compute the internal conversion rate by evaluating the vibration correlation function, which is much cheaper than nonadiabatic molecular dynamics and is

Colors of noise (3,593 words) [view diff] exact match in snippet view article find links to article

Instead of using the lag(1) autocorrelation function the lag(m) correlation function is computed instead: R m = 1 N ∑ t = 1 N − m ( z t − z ¯ ) ∗ ( z

Fluctuation X-ray scattering (1,678 words) [view diff] exact match in snippet view article find links to article

image and averaging these over all snapshots, the average 2-point correlation function can be subjected to a finite Legendre transform, resulting in a collection

Pearson correlation coefficient (8,545 words) [view diff] exact match in snippet view article find links to article

for the method pandas.DataFrame.corr Wolfram Mathematica via the Correlation function, or (with the P value) with CorrelationTest. The Boost C++ library

Interaction information (2,426 words) [view diff] case mismatch in snippet view article find links to article

Information as the Information between a Set of Variables: The Information Correlation Function Hierarchy and the Information Structure of Multi-Agent Systems (Technical

Michelson interferometer (4,357 words) [view diff] exact match in snippet view article find links to article

where γ ( Δ L ) {\displaystyle \gamma (\Delta L)} is second-order correlation function, the interference curve in phase-conjugating interferometer has much

Claude Pruneau (794 words) [view diff] exact match in snippet view article find links to article

played a leading role in the development of two and three particle correlation function measurements to identify signatures of the formation of Quark Gluon

João Penedones (487 words) [view diff] exact match in snippet view article find links to article

scattering amplitudes. This connection is made more manifest once the correlation function is expressed in terms of Mellin amplitudes as suggested by Penedones

Andrea Liu (822 words) [view diff] exact match in snippet view article find links to article

repulsive supercooled liquids: The dynamics is encoded in the pair correlation function. Physical Review E 101, 010602 (2020). DOI:10.1103/PhysRevE.101.010602

Goldstone boson (3,717 words) [view diff] exact match in snippet view article find links to article

to be translationally invariant, P|0〉 = 0, [P,Q]= 0. Consider the correlation function of the charge with itself, ⟨ 0 | Q Q | 0 ⟩ = ∫ d 3 x ⟨ 0 | j 0 (

3-Base Periodicity Property (2,634 words) [view diff] exact match in snippet view article find links to article

method for analyzing the periodicity of DNA sequences based on the correlation function of the symbolic sequence. Tiwari, Ramachandran, Bhattacharya and

Kicked rotator (3,818 words) [view diff] exact match in snippet view article find links to article

{\displaystyle D_{cl}} is obtained by calculating the "area" of the correlation function C ( n ) = ⟨ sin ⁡ ( x ( n ) ) sin ⁡ ( x ( 0 ) ) ⟩ {\displaystyle

Perturbation theory (quantum mechanics) (15,969 words) [view diff] exact match in snippet view article

k-th order correction to the energy En to the k-point connected correlation function of the perturbation V in the state | n ( 0 ) ⟩ {\displaystyle |n^{(0)}\rangle

Hartree–Fock method (4,729 words) [view diff] exact match in snippet view article find links to article

Carlo) modify the Hartree–Fock wave function by multiplying it by a correlation function ("Jastrow" factor), a term which is explicitly a function of multiple

Spin glass (4,912 words) [view diff] exact match in snippet view article find links to article

{\displaystyle m=0} along with a non-vanishing value of the two point correlation function between spins at the same lattice point but at two different replicas:

Electric dipole moment (7,930 words) [view diff] exact match in snippet view article find links to article

{M}}_{\text{Tot}}(t=0){\mathcal {M}}_{\text{Tot}}(t=0)\right\rangle } is the time correlation function of the total dipole moment. In general the total dipole moment have

Black hole information paradox (8,774 words) [view diff] exact match in snippet view article find links to article

the temperature, the frequencies of the operators that enter the correlation function and other details of the black hole. Maldacena initially explored

Fourier series (11,034 words) [view diff] exact match in snippet view article find links to article

\cos(2\pi {\tfrac {n}{P}}x-\varphi ).} The blue graph is the cross-correlation function, also known as a matched filter: X ( φ ) = ∫ P s ( x ) ⋅ cos ⁡ (

S transform (1,880 words) [view diff] exact match in snippet view article find links to article

the Wigner Transform is the cross term, which stems from the auto-correlation function in the Wigner Transform function. This cross term may cause noise

Mount Ruapehu (7,403 words) [view diff] case mismatch in snippet view article find links to article

"Monitoring of phreatic eruptions using Interferometry on Retrieved Cross-Correlation Function from Ambient Seismic Noise: Results from Mt. Ruapehu, New Zealand"

Coherent diffraction imaging (3,759 words) [view diff] exact match in snippet view article find links to article

impose an evolving support based on the image alone using an auto-correlation function. This eliminates the need for a secondary image (support) thus making

Negative binomial distribution (8,342 words) [view diff] exact match in snippet view article find links to article

Scientific. Schaeffer, R (1984). "Determination of the galaxy N-point correlation function". Astronomy and Astrophysics. 134 (2): L15. Bibcode:1984A&A...134L

Time–frequency analysis (3,667 words) [view diff] exact match in snippet view article find links to article

distribution function (WDF) obtained for some signals is due to the auto-correlation function inherent in its formulation; however, the latter also causes the

Timothy A. McKay (903 words) [view diff] case mismatch in snippet view article find links to article

with Sloan Digital Sky Survey Commissioning Data: The Galaxy-Mass Correlation Function to 1 h−1 Mpc." The Astronomical Journal 120 1198 doi:10.1086/301540

Speckle (interference) (4,703 words) [view diff] case mismatch in snippet view article

Field of the Scattered Light: A Direct Measurement of the Density Correlation Function g(r)". Physical Review Letters. 85 (7): 1416–1419. Bibcode:2000PhRvL

Viacheslav Belyi (1,009 words) [view diff] exact match in snippet view article find links to article

1103/PhysRevLett.88.255001 V.V. Belyi, Yu.A. Kukharenko, J. Wallenborn, Pair correlation function and non-linear kinetic equation for a spatially uniform polarizable

Method of matched asymptotic expansions (3,217 words) [view diff] exact match in snippet view article find links to article

PMID 31212460. S2CID 119011235. Banetta, L.; Zaccone, A. (2020). "Pair correlation function of charge-stabilized colloidal systems under sheared conditions"

Redfield equation (2,048 words) [view diff] exact match in snippet view article find links to article

bath is assumed to be factorized, and we have introduced the bath correlation function C m n ( t ) = tr ( E m , I ( t ) E n ρ env,eq ) {\displaystyle

Reverse Monte Carlo (2,514 words) [view diff] exact match in snippet view article find links to article

Reverse Monte Carlo (HRMC) is a code capable of fitting both the pair correlation function and structure factor along with bond angle and coordination distributions

Stretched exponential function (2,268 words) [view diff] exact match in snippet view article find links to article

and Miyashita, S. (1988). "Stretched exponential decay of the spin-correlation function in the kinetic Ising model below the critical temperature". Phys

Ana María Cetto (1,912 words) [view diff] case mismatch in snippet view article find links to article

Projection Operator and the Probabilistic Meaning of the Bipartite Correlation Function. Found Phys 50, 27–39 (2020). https://doi.org/10.1007/s10701-019-00313-8"

Hypernucleus (3,875 words) [view diff] exact match in snippet view article find links to article

S2CID 244908731. STAR Collaboration (March 2019). "The proton–Ω correlation function in Au + Au collisions at s NN = 200 GeV". Physics Letters B. 790:

List of disorder prediction software (909 words) [view diff] exact match in snippet view article find links to article

IUPforest-L Long disordered regions in a set of proteins Moreau-Broto auto-correlation function of amino acid indices (AAIs) No MeDor (Metaserver of Disorder) Regions

Dark Energy Spectroscopic Instrument (2,498 words) [view diff] case mismatch in snippet view article find links to article

(2005). "Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies". The Astrophysical Journal. 633 (2):

Channel sounding (1,196 words) [view diff] exact match in snippet view article find links to article

is correlated with the original sequence. This impulse-like auto correlation function is called channel impulse response (CIR). By obtaining the transfer

Shirley Ho (1,716 words) [view diff] exact match in snippet view article find links to article

theoretical systematics and Baryon Acoustic Oscillations in the galaxy correlation function". Monthly Notices of the Royal Astronomical Society. 477 (1): 1153–1188

Continuous spontaneous localization model (4,916 words) [view diff] exact match in snippet view article find links to article

is considered, which is characterized by a non-trivial temporal correlation function f ( t ) {\displaystyle f(t)} . The effect can be quantified by a

Batchelor–Chandrasekhar equation (2,053 words) [view diff] exact match in snippet view article find links to article

Q_{2}(r,\mu ,t)} be the two scalar functions that describes the correlation function, then the most general axisymmetric tensor which is solenoidal (incompressible)

Alex Szalay (3,132 words) [view diff] exact match in snippet view article find links to article

Blanton, Detection of the baryon acoustic peak in the large-scale correlation function of SDSS luminous red galaxies, in: The Astrophysical Journal. Vol

Arie Bijl (471 words) [view diff] case mismatch in snippet view article find links to article

(PDF). A. Bijl, Physica VII 9, (1940) 869–886 Equations for the Correlation Function in the Bijl-Dingle-Jastrow Description or Liquid He4 at Absolute

Galaxy Zoo (7,198 words) [view diff] exact match in snippet view article find links to article

A. Szalay; D. Thomas; J. Vandenberg (2009). "Galaxy Zoo: chiral correlation function of galaxy spins". MNRAS. 392 (3): 1225–1232. arXiv:0809.0717. Bibcode:2009MNRAS

Amit Keren (628 words) [view diff] exact match in snippet view article find links to article

like their ratio. They interpreted this behavior using power law correlation function. Muon relaxation in a stochastic field environment: When a spin polarized

K N Pathak (1,416 words) [view diff] exact match in snippet view article find links to article

particularly for obtaining several exact results for the dynamical correlation function for the above systems. His theory of phonon-phonon interaction in

Classical XY model (4,861 words) [view diff] exact match in snippet view article find links to article

K=J/k_{\rm {B}}T} , and μ {\displaystyle \mu } is the short-range correlation function, μ ( K ) = ⟨ cos ⁡ ( θ − θ ′ ) ⟩ = I 1 ( K ) I 0 ( K ) {\displaystyle

Pulse compression (5,513 words) [view diff] exact match in snippet view article find links to article

{T}{2}}\\0&{\mbox{otherwise}}\end{cases}}} Now, it can be shown that the correlation function of s c ′ {\displaystyle s_{c}'} with r ′ {\displaystyle r'} is: ⟨

Lorentz force velocimetry (4,393 words) [view diff] exact match in snippet view article find links to article

measurement of the reaction force are made simultaneously. Any cross-correlation function is useful only in case of qualitative difference between signals

Multidimensional spectral estimation (2,385 words) [view diff] exact match in snippet view article find links to article

coefficients of a ( p , q ) {\displaystyle a\left(p,q\right)} from the auto correlation function φ ( l , m ) {\displaystyle \varphi \left(l,m\right)} of the random

Topological recursion (4,387 words) [view diff] exact match in snippet view article find links to article

then the gth coefficient in the asymptotic expansion of the n-point correlation function. It was found that the coefficients ω g , n {\displaystyle \omega

History of network traffic models (3,516 words) [view diff] exact match in snippet view article find links to article

numbers and Xt are prescribed correlated random numbers. The auto-correlation function of the AR(p) process consists of damped sine waves depending on whether

Data-driven control system (2,978 words) [view diff] exact match in snippet view article find links to article

r_{W}(t)=Wr(t)} , where W {\displaystyle W} is an appropriate filter. The correlation function is: f N , ℓ 1 ( ρ ) = 1 N ∑ t = 1 N ζ ( t ) ε ( t , ρ ) {\displaystyle

Aspect's experiment (4,170 words) [view diff] exact match in snippet view article find links to article

\over 2}\sin ^{2}(\alpha -\beta )} . The quantity of interest is a correlation function given by S ( α , β ; α ′ , β ′ ) = E ( α , β ) − E ( α , β ′ ) +

Hyperuniformity (4,601 words) [view diff] exact match in snippet view article find links to article

scales. Disordered hyperuniformity implies a long-ranged direct correlation function (the Ornstein–Zernike equation). In an equilibrium many-particle

Localization-protected quantum order (3,281 words) [view diff] exact match in snippet view article find links to article

eigenstate and the pattern is eigenstate dependent. Note that a spin-spin correlation function evaluated in this state is non-zero for arbitrarily distant spins

Lieb–Robinson bounds (4,663 words) [view diff] exact match in snippet view article find links to article

observable A {\displaystyle A} in a state Ω {\displaystyle \Omega } . The correlation function between two observables A {\displaystyle A} and B {\displaystyle

Diósi–Penrose model (3,105 words) [view diff] exact match in snippet view article find links to article

interaction of the system with a classical noise field, where the spatial correlation function of this noise is related to the Newtonian potential. The evolution

Handwriting movement analysis (3,284 words) [view diff] case mismatch in snippet view article find links to article

as quantifying measures of the neurological function using their Correlation Function Analysis (CFA) of behavioral signals. CFA returns numerical scores

Information field theory (6,015 words) [view diff] exact match in snippet view article find links to article

probability distribution requires the specification of the field two point correlation function S ≡ ⟨ s s † ⟩ ( s ) {\displaystyle S\equiv \langle s\,s^{\dagger

High-entropy alloy (12,415 words) [view diff] exact match in snippet view article find links to article

theory for multicomponent alloys, which evaluates the two-point correlation function, an atomic short-range order parameter, ab initio. The S ( 2 ) {\displaystyle

Stochastic geometry models of wireless networks (7,849 words) [view diff] exact match in snippet view article find links to article

scheduled is known in closed-form, as well as the so-called pair-correlation function of the point process of scheduled nodes. In a network with code-division

Vasiliev equations (9,794 words) [view diff] exact match in snippet view article find links to article

{\textstyle \theta =\pi /4} . This would imply that the corresponding correlation function in the Chern-Simons matter theories vanishes, ⟨ T a b j 0 j 0 ⟩ =

Larry D. McLerran (2,036 words) [view diff] exact match in snippet view article find links to article

plasma are intricately linked to the thermal anticipated value of a correlation function involving electromagnetic currents. McLerran's Color Glass Condensate

Subsurface mapping by ambient noise tomography (2,039 words) [view diff] exact match in snippet view article find links to article

case with multiple ambient noise sources, the shape of the cross correlation function depends on whether the ambient noise sources are evenly distributed

Diffuse correlation spectrometry (1,588 words) [view diff] exact match in snippet view article find links to article

Therefore, each scattering event contributes to the decay of the correlation function. The fields from individual photon paths are assumed to be uncorrelated;

Path integrals in polymer science (7,086 words) [view diff] exact match in snippet view article find links to article

{R}},N)} , one usually employs a Laplace transform and considers a correlation function similar to the statistic average ⟨ A ( R → n , R → m ) ⟩ {\displaystyle

Void (astronomy) (4,466 words) [view diff] exact match in snippet view article

Kazuhiro (2018-08-28). "Gravitational redshift in the void-galaxy cross-correlation function in redshift space". Physical Review D. 98 (4): 043527. arXiv:1805