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Correlation as a function of distance
A correlation function is a function that gives the statistical correlation between random variables, contingent on the spatial or temporal distance between
Correlation_function
Covariance and correlation
In signal processing, cross-correlation is a measure of similarity of two series as a function of the displacement of one relative to the other. This is
Cross-correlation
Measure of a system's order
the correlation function is a measure of the order in a system, as characterized by a mathematical correlation function. Correlation functions describe
Correlation function (statistical mechanics)
Correlation_function_(statistical_mechanics)
Function describing the distribution of galaxies in the universe
astronomy, a correlation function describes the distribution of objects (often stars or galaxies) in the universe. By default, "correlation function" refers
Correlation function (astronomy)
Correlation_function_(astronomy)
Topics referred to by the same term
Correlation function may refer to: Correlation function, correlation between random variables at two different points in space or time Correlation function
Correlation function (disambiguation)
Correlation_function_(disambiguation)
Measure of linear correlation
In statistics, the Pearson correlation coefficient (PCC), also known as Pearson's r, the Pearson product-moment correlation coefficient (PPMCC), or simply
Pearson correlation coefficient
Pearson_correlation_coefficient
Correlation of a signal with a time-shifted copy of itself, as a function of shift
complex random process is the Pearson correlation between values of the process at different times, as a function of the two times or of the time lag.
Autocorrelation
Expectation value of time-ordered quantum operators
In quantum field theory, correlation functions, often referred to as correlators or Green's functions, are vacuum expectation values of time-ordered products
Correlation function (quantum field theory)
Correlation_function_(quantum_field_theory)
Measure of the projected clustering of galaxies
The angular correlation function is a function which measures the projected clustering of galaxies, due to discrepancies between their actual and expected
Angular_correlation_function
Description of particle density in statistical mechanics
In statistical mechanics, the radial distribution function, (or pair correlation function) g ( r ) {\displaystyle g(r)} in a system of particles (atoms
Radial_distribution_function
Statistical relationship
correlation coefficient Cophenetic correlation Correlation disattenuation Correlation function Correlation gap Covariance Covariance and correlation Cross-correlation
Correlation
Nonparametric measure of rank correlation
described using a monotonic function. The Spearman correlation between two variables is equal to the Pearson correlation between the rank values of those
Spearman's rank correlation coefficient
Spearman's_rank_correlation_coefficient
Theoretical framework in physics
propagator, two-point correlation function, two-point Green's function or two-point function for short. The free two-point function, also known as the Feynman
Quantum_field_theory
Method of solution to differential equations
the role of propagators, also referred to as two-point (correlation) functions. A Green's function, G(x,s), of a linear differential operator L = L(x) acting
Green's_function
Generating function for quantum correlation functions
In quantum field theory, partition functions are generating functionals for correlation functions, making them key objects of study in the path integral
Partition function (quantum field theory)
Partition_function_(quantum_field_theory)
Mathematical conjecture
correlation conjecture is a conjecture made by Hugh Montgomery (1973) that the pair correlation between pairs of zeros of the Riemann zeta function (normalized
Montgomery's pair correlation conjecture
Montgomery's_pair_correlation_conjecture
Equation in statistical mechanics
The OZ equation relates the pair correlation function to the direct correlation function. The direct correlation function is only used in connection with
Ornstein–Zernike_equation
Concept in quantum optics
In quantum optics, correlation functions are used to characterize the statistical and coherence properties – the ability of waves to interfere – of electromagnetic
Higher_order_coherence
Numerical measure of a statistical relationship between variables
A correlation coefficient is a numerical measure of some type of linear correlation, meaning a linear function between two variables. The variables may
Correlation_coefficient
Pictorial representation of the behavior of subatomic particles
representation of a perturbative contribution to the transition amplitude or correlation function of a quantum mechanical or statistical field theory. Within the canonical
Feynman_diagram
Impulse response associated with auditory processing
A reverse correlation function, also known as a revcor function, is an impulse response function associated with the processing of hearing in the peripheral
Reverse_correlation_function
Pulse-shaping filter in digital modulation
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 T ) cos (
Raised-cosine_filter
Computational quantum mechanical modelling method to investigate electronic structure
in the direct correlation function between two particles c 2 {\displaystyle c_{2}} . The direct correlation function is the correlation contribution to
Density_functional_theory
Correlation does not imply causation Covariance function Pearson product-moment correlation coefficient Correlation function (astronomy) Correlation function
Cross-correlation_matrix
Concepts in probability and statistics
linear function of the other with respectively a positive (or negative) slope. Although the values of the theoretical covariances and correlations are linked
Covariance_and_correlation
Quantum version of the classical action
also acts as a generating functional for one-particle irreducible correlation functions. The potential component of the effective action is called the effective
Effective_action
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
Fluorescence cross-correlation spectroscopy
Fluorescence_cross-correlation_spectroscopy
Equation relating transport coefficients to correlation functions
{\displaystyle \gamma } in terms of the integral of the equilibrium time correlation function of the time derivative of a corresponding microscopic variable A
Green–Kubo_relations
space (i.e., as a function of spatial frequency). The FSC is the three-dimensional extension of the two-dimensional Fourier ring correlation (FRC); also known
Fourier_shell_correlation
Two-dimensional conformal field theory
duality b → 1 b , {\displaystyle b\to {\frac {1}{b}}\ ,} The correlation functions of Liouville theory are covariant under this duality, and under
Liouville_field_theory
Two-dimensional state of matter
determined with the translational correlation function G G → ( R → ) {\displaystyle G_{\vec {G}}({\vec {R}})} as function of the distance between lattice
Hexatic_phase
Function in condensed matter physics
dynamical structure factor) is a mathematical function that contains information about inter-particle correlations and their time evolution. It is a generalization
Dynamic_structure_factor
Concept in probability theory and statistics
In probability theory and statistics, partial correlation measures the degree of association between two random variables, with the effect of a set of
Partial_correlation
Conformal field theory on a 2D spacetime
commute, but also their correlation functions are multivalued. The torus partition function is a particular correlation function that depends solely on
Two-dimensional conformal field theory
Two-dimensional_conformal_field_theory
Correlators of field operators
many-body theory, the term Green's function (or Green function) is sometimes used interchangeably with correlation function, but refers specifically to correlators
Green's function (many-body theory)
Green's_function_(many-body_theory)
Generalization of the concept from statistical mechanics
This allows, for example, the partition function to be used as a generating function for correlation functions. This is discussed in greater detail below
Partition function (mathematics)
Partition_function_(mathematics)
Gravitational deflection of light
component at 45°. These correlation functions are typically computed by averaging over many pairs of galaxies. The last correlation function, ξ × + {\displaystyle
Weak_gravitational_lensing
Type of operator expectation value
the Casimir effect. This concept is important for working with correlation functions in quantum field theory. In the context of spontaneous symmetry
Vacuum_expectation_value
Function that preserves distinctness
In mathematics, an injective function (also known as injection, or one-to-one function) is a function f that maps distinct elements of its domain to distinct
Injective_function
Quantum field theory enjoying conformal symmetry
context of correlation functions, and may be viewed as efficient notations for writing axioms for correlation functions. Correlation functions depend linearly
Conformal_field_theory
Signal with properties that vary cyclically with time
exhibit periodic statistical properties. The Spectral Correlation Function highlights correlations between frequencies separated by a cyclic frequency α
Cyclostationary_process
Fluctuations in the density of the normal matter of the universe
galaxies by calculating a two-point correlation function on the data. The correlation function (ξ) is a function of comoving galaxy separation distance
Baryon_acoustic_oscillations
Resistance of a fluid to shear deformation
Green–Kubo relations for the linear shear viscosity or the transient time correlation function expressions derived by Evans and Morriss in 1988. Although these
Viscosity
Potential for two waves to interfere
mathematical definition of the degree of coherence is given by means of correlation functions. More broadly, coherence describes the statistical similarity of
Coherence_(physics)
Stochastic differential equation
{\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
Langevin_equation
Topological quantum field theory
normalized correlation function by dividing this observable by the partition function Z(M), which is just the 0-point correlation function. In the special
Chern–Simons_theory
Topics referred to by the same term
to: Correlation function (quantum field theory) An optical correlator A radio correlator An apparatus for measuring second-order correlation function of
Correlator
The spectral correlation density (SCD), sometimes also called the cyclic spectral density or spectral correlation function, is a function that describes
Spectral_correlation_density
Conjecture on zeros of the zeta function
pair correlation conjecture that the correlation functions of the (suitably normalized) zeros of the zeta function should be the same as those of the eigenvalues
Riemann_hypothesis
Quantum correlations related to wave-particle duality
Hanbury Brown and Twiss (HBT) effect is any of a variety of correlation and anti-correlation effects in the intensities received by two detectors from a
Hanbury Brown and Twiss effect
Hanbury_Brown_and_Twiss_effect
Way of inferring information from cross-covariance matrices
are correlations among the variables, then canonical-correlation analysis will find linear combinations of X and Y that have a maximum correlation with
Canonical_correlation
Presence/absence of symmetry or correlation in a many-particle system
correlated behavior. This can be expressed as a correlation function, namely the spin-spin correlation function: G ( x , x ′ ) = ⟨ s ( x ) , s ( x ′ ) ⟩ .
Order_and_disorder
Medical imaging technique of the heart
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
Doppler_echocardiography
Method of statistical physics
A correlation function is used as a scalar product, which is why the formalism can also be used for analyzing the dynamics of correlation functions. A
Mori–Zwanzig_formalism
Matrix-valued random variable
x_{n}),} which are skew symmetric functions of their variables. In particular, the one-point correlation function, or density of states, is R n , V (
Random_matrix
Statistical measure
In statistics and in probability theory, distance correlation is a measure of dependence between two paired random vectors of arbitrary, not necessarily
Distance_correlation
Evolutionary equation under renormalization group flow
of the n-point correlation functions under variation of the energy scale at which the theory is defined and involves the beta function of the theory and
Callan–Symanzik_equation
Statistical physics theorem
{\displaystyle \langle x(t)\rangle } yields where A(t) is the auto-correlation function of x in the absence of a field: A ( t ) = ⟨ [ x ( t ) − ⟨ x ⟩ 0 ]
Fluctuation–dissipation theorem
Fluctuation–dissipation_theorem
Techniques to study geometric data
the recent methods is presented by Tahmasebi et al. uses a cross-correlation function to improve the spatial pattern reproduction. They call their MPS
Spatial_analysis
In statistical mechanics, an Ursell function or connected correlation function, is a cumulant of a random variable. It can often be obtained by summing
Ursell_function
Concept in probability and statistics
series analysis) to normalize the autocovariance function to get a time-dependent Pearson correlation coefficient. However in other disciplines (e.g. engineering)
Autocovariance
Sequence of data points over time
function and the spectral density function (also cross-correlation functions and cross-spectral density functions) Scaled cross- and auto-correlation
Time_series
Equation describing the universe's density contrast
density and the mean density) as a function of scale. It is the Fourier transform of the matter correlation function. On large scales, gravity competes
Matter_power_spectrum
Effective particle coupling beyond tree level
perturbation theory. In particular, it is the one particle irreducible correlation function involving the fermion ψ {\displaystyle \psi } , the antifermion ψ
Vertex_function
Integral expressing the amount of overlap of one function as it is shifted over another
'shape' of one function is modified by the other. Some features of convolution are similar to cross-correlation: for real-valued functions, of a continuous
Convolution
Function in probability theory
exponential and squared exponential covariance functions as special cases. Autocorrelation function Correlation function Covariance matrix Covariance operator –
Covariance_function
Phenomenon in quantum optics
-\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
Photon_antibunching
Quantum chromodynamics on a lattice
region non-perturbative methods, such as Monte-Carlo sampling of the correlation function, are necessary. Lattice perturbation theory can also provide results
Lattice_QCD
Analytical technique
coherent speckle pattern fluctuates in time, one can measure a time correlation function, and thus measure the timescale processes of interest (diffusion
X-ray photon correlation spectroscopy
X-ray_photon_correlation_spectroscopy
Quantum electromechanical process
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 )
Resonance_fluorescence
Topics referred to by the same term
Correlations (album), a 1979 album by Ashra Correlation function (disambiguation) All pages with titles containing correlation This disambiguation page lists articles
Correlation_(disambiguation)
Closure relation to solve the Ornstein-Zernike equation
Ornstein–Zernike equation which relates the direct correlation function to the total correlation function. It is commonly used in fluid theory to obtain e
Hypernetted-chain_equation
Equations for correlation functions in QFT
Julian Schwinger and Freeman Dyson, are general relations between correlation functions in quantum field theories (QFTs). They are also referred to as the
Schwinger–Dyson_equation
When a radio signal reaches a remote receiver
(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
Time_of_arrival
No spontaneous symmetry breaking in two-dimensional systems at finite temperature
Goldstone bosons, being massless, would have an infrared divergent correlation function. The absence of spontaneous symmetry breaking in d ≤ 2 dimensional
Mermin–Wagner_theorem
wave functions or more complicated objects, and therefore it is interpreted as a correlation function. For instance, if the curvature function is the
Curvature renormalization group method
Curvature_renormalization_group_method
Conformal field theory of the 2D Ising model critical point
the central charge c = 1 2 {\displaystyle c={\tfrac {1}{2}}} . Correlation functions of the spin and energy operators are described by the ( 4 , 3 )
Two-dimensional critical Ising model
Two-dimensional_critical_Ising_model
Theorem for reducing high-order derivatives
theorem applied to fields is proved in essentially the same way. The correlation function that appears in quantum field theory can be expressed by a contraction
Wick's_theorem
Euclidean Wightman distributions
Schrader). Schwinger functions are also referred to as Euclidean correlation functions. Here we describe Osterwalder–Schrader (OS) axioms for a Euclidean
Schwinger_function
Function in quantum field theory showing probability amplitudes of moving particles
nonlocal correlation in these vacuum fluctuations, analogous to an EPR correlation. Indeed, the propagator is often called a two-point correlation function for
Propagator
Physics model of a 1D gas of bosons
characteristics, such as off-diagonal long-range order or a unitary two-body correlation function, even in a thermodynamic limit and as such cannot be described by
Tonks–Girardeau_gas
Relative importance of certain frequencies in a composite signal
{\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
Spectral_density
as the memory function. The value of X ¯ {\displaystyle {\bar {X}}} and the function F(r) contain all the information about correlation properties of
Additive_Markov_chain
Technique to find image offset
Phase correlation is an approach to estimate the relative translative offset between two similar images (digital image correlation) or other data sets
Phase_correlation
Fourteenth letter in the Greek alphabet
dynamics, the Iribarren parameter. The initial mass function in astronomy. The correlation function in astronomy. Spatial frequency; also sometimes temporal
Xi_(letter)
Statistical estimator
parameter requires the knowledge of parameter correlation function. If the knowledge of this correlation function is not perfectly available, a popular minimax
Minimax_estimator
Function returning one of only two values
the function is the number of ones in the truth table. Bent: its derivatives are all balanced (the autocorrelation spectrum is zero) Correlation immune
Boolean_function
Associative algebra generalizing the Virasoro algebra
algebras. In this article, the sections on representation theory and correlation functions apply to freely generated W-algebras. While it is possible to construct
W-algebra
Cryptographic attack
(LFSRs) using a Boolean function. Correlation attacks exploit a statistical weakness that arises from the specific Boolean function chosen for the keystream
Correlation_attack
Mathematical conjecture
forces interact, a three-point function called the Yukawa coupling is introduced which acts as the correlation function for states in H 1 ( X , Ω X 1 )
Mirror_symmetry_conjecture
dependence Correlation does not imply causation Correlation clustering Correlation function Correlation function (astronomy) Correlation function (quantum
List_of_statistics_articles
Gravitational wave detection tool
angular separation on the sky as seen from Earth. This theoretical correlation function assumes Einstein's general relativity and a gravitational wave background
Hellings–Downs_curve
Partial differential equations of correlation functions
KZ equations, are linear differential equations satisfied by the correlation functions (on the Riemann sphere) of two-dimensional conformal field theories
Knizhnik–Zamolodchikov equations
Knizhnik–Zamolodchikov_equations
Descriptive statistic
In statistics, the intraclass correlation, or the intraclass correlation coefficient (ICC), is a descriptive statistic that can be used when quantitative
Intraclass_correlation
Collection of models with the same renormalization group flow limit
{\displaystyle \eta } measures the size of correlations at the critical temperature. It is defined so that the correlation function of the order parameter scales as
Universality_class
Quantum field theory of electromagnetism
| i ⟩ + ( i M f i × Delta function terms ) {\displaystyle S_{fi}=\langle f|i\rangle +(iM_{fi}\times {\text{Delta function terms}})} Despite the conceptual
Quantum_electrodynamics
Electromagnetic waves that travel along an interface
and σ {\displaystyle \sigma } is the correlation length, then the Fourier transform of the correlation function is | s ( k surf ) | 2 = 1 4 π σ 2 δ 2
Surface_plasmon_polariton
Force resulting from the quantisation of a field
system as a function of the arrangement of objects, such as atoms, in configuration space. The change in the zero-point energy as a function of changes
Casimir_effect
Type of 2D conformal field theory
of highest weight representations, and all correlation functions can be deduced from correlation functions of affine primary fields via Ward identities
Wess–Zumino–Witten_model
Length scale at which eddy currents are significantly affected by viscosity
not entirely straightforward, requiring formation of certain flow correlation function(s), then expanding in a Taylor series and using the first non-zero
Taylor_microscale
CORRELATION FUNCTION
CORRELATION FUNCTION
Male
Egyptian
, a high Egyptian functionary.
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Male
Egyptian
, an Egyptian functionary.
Male
Egyptian
, a great functionary.
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Male
Egyptian
, Functionary of the Interior.
Biblical
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Male
Egyptian
, an Egyptian functionary.
Male
Egyptian
, the son of the functionary Heknofre.
Surname or Lastname
English (chiefly Kent and Sussex)
English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.
Girl/Female
Biblical
Punishment, correction.
Male
Celtic
, great justiciary, or functionary.
Biblical
punishment; correction
Surname or Lastname
English
English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.
CORRELATION FUNCTION
CORRELATION FUNCTION
Boy/Male
American, Australian, British, Danish, English, German, Norse, Swedish
Rich and Powerful Ruler; Ruler; Dominant Ruler; Brother; Strong Power; Hardy Power; Powerful and Brave Ruler
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
Eternal
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Telugu
Example; Comparison; Respectful; Brilliant
Male
French
Variant spelling of Norman French Reynold, REYNAUD means "wise ruler."
Girl/Female
Finnish, German, Gujarati, Hindu, Indian, Kannada, Swedish
Hero's Daughter; Lover of Horses; Foremost One
Boy/Male
Muslim/Islamic
Servant of Allah
Boy/Male
Christian & English(British/American/Australian)
Bean Farmer
Girl/Female
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Daughter of Lord Vishnu
Boy/Male
Arabic, Muslim, Pashtun
Lion
Boy/Male
Muslim
Shooting star
CORRELATION FUNCTION
CORRELATION FUNCTION
CORRELATION FUNCTION
CORRELATION FUNCTION
CORRELATION FUNCTION
a.
Submissive to correction; docile.
n.
Abatement of noxious qualities; the counteraction of what is inconvenient or hurtful in its effects; as, the correction of acidity in the stomach.
n.
The quality of correlation; reciprocation; interchange; interaction; interdependence.
n.
Correction; chastisement; punishment inflicted by way of correction and training.
n.
The state of being congealed.
p. pr. & vb. n.
of Correlate
adv.
In a correlative relation.
n.
Quality of being correlative.
n.
An allowance made for inaccuracy in an instrument; as, chronometer correction; compass correction.
n.
Reciprocal relation; corresponding similarity or parallelism of relation or law; capacity of being converted into, or of giving place to, one another, under certain conditions; as, the correlation of forces, or of zymotic diseases.
n.
The flowing of different streams into one.
a.
Having or indicating a reciprocal relation.
n.
Emendation; correction.
n.
The quality or state of being irrelative; want of connection or relation.
n.
One who, or that which, stands in a reciprocal relation, or is correlated, to some other person or thing.
n.
Mutual or reciprocal relation; correlation.
n.
The act corrugating; contraction into wrinkles or alternate ridges and grooves.
n.
The act or process of passing, or causing to pass, from a fluid to a solid state, as by the abstraction of heat; the act or process of freezing.
n.
That which is congealed.
n.
The antecedent of a pronoun.