correlation function


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correlation function

A measure of the clustering on extragalactic scales obtained from redshift surveys. It is the probability for a galaxy to have another neighbor within a given distance of separation, in excess of the probability expected from a uniform random distribution of galaxies, expressed as a function of that distance. Galaxy positions are highly correlated, with the probability decreasing approximately as the inverse square of the galaxy separation. The correlation length for clusters of galaxies is the radius within which the chance of finding another galaxy is double the chance expected from a uniform random distribution of galaxies. Galaxies cluster into groups and clusters on a length-scale of around 30 megaparsecs, whereas superclusters have correlation lengths nearer 130 megaparsecs.
References in periodicals archive ?
Here, [g.sub.1] is the first order correlation function. Second order correlation function (Siegert relation).
This method takes advantage of innumerable neutron counts and makes inferences about the properties of uranium components observed by the correlation function between the [sup.252]Cf source and detector.
Earlier in the 1940s, Born and Green [2] set up a correlation between the viscosity of liquid, the pair correlation function g(r), and the pair interatomic potential C(r).
The measurement of path loss and shadowing correlation on two TV channels are performed in urban, in which the exponent and autoregressive model for correlation function are presented [16].
It is noticed that most subspace system identification methods are based on the input and output data in time domain, and the frequency response methods of some linear time invariant systems are often based on the signal correlation function [12, 13].
In the 4-dimensional space-time, though the geodesic length does not equal the area of the minimal surface, it has been shown that both the geodesic length and area of the minimal surface, which are dual to the two point correlation function and entanglement entropy respectively, are nonlocal probes and have the same effect as they are used to probe the thermalization behavior and phase transition process [23-40].
The product of the fluctuations of the indicator function [mathematical expression not reproducible] is the correlation function [mathematical expression not reproducible], which characterizes the relative position of the components in microstructure.
Yoon, "An unambiguous correlation function for generic sine-phased binary offset carrier signal tracking," Computers and Electrical Engineering, vol.
Therefore, a necessary and practically sufficient condition for the homogeneity of the correlation function within the region under consideration is the fulfillment of inequalities
This correlation function is denoted by r(n) and expressed as [7]
Calculations showed that under load, which is exponential correlation function R([tau]) = [De.sup.-[alpha][absolute value of [tau]]] by statistically optimal transfer function of the regulator will be consistent connection aperiodic link and forcing a first-order link [W.sub.reg] (s) = [a.sub.0]s + [a.sub.1]/[b.sub.0]s + [b.sub.1], and for loading of exponentially-cosine correlation function R([tau]) = [De.sup.-[alpha][absolute value of [tau]]] cos [beta][tau]--serial aperiodic link and forcing a second-order link [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
To conclude, we compare the results obtained using the MAC (Modal Assurance Criterion) correlation function in structural dynamics [7, 8].

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