The averaging problem in cosmology and the approach of macroscopic gravity to resolve the problem is discussed. The averaged Einstein equations of macroscopic gravity are modified on cosmological scales by the macroscopic gravitational correlation tensor terms as compared with the Einstein equations of general relativity. This correlation tensor satisfies a system of structure and field equatio...

Elshorbagy et al. (2001) report the presence of chaos in the streamflow series in the Little River and Reed Creek based (only) on the low correlation dimensions of 1.19 and 1.07 obtained when the Grassberger-Procaccia correlation dimension algorithm (e.g. Grassberger & Procaccia, 1983) is employed. Whether or not a low correlation dimension is a proof of chaos is an important question (cf. Siva...

introduction:  the  success  of  hyperthermia  depends  on  the  accuracy  of  the  temperature  monitoring in the tumor and the surrounding normal tissue. in this study, the temperature changes  were determined by computing the speckle displacement in the ultrasound digital images. speckle  tracking algorithm was used to compute the displacement.  materials and methods: the experiment was perf...

the analysis of cross-correlations is extensively applied for understanding of interconnections in stock markets. variety of methods are used in order to search stock cross-correlations including the random matrix theory (rmt), the principal component analysis (pca) and the hierachical ‎structures.‎ in ‎this work‎, we analyze cross-crrelations between price fluctuations of 20 ‎company ‎stocks‎‎...

the impact of meteorological and hydrological drought on groundwater resources in coastal deserts in the south of iran was investigated during 1991-2011, using standardized precipitation index (spi), standardized runoff index (sri), and groundwater resources index (gri). the results indicated that wet and drought spells governed the area in the first and second decades, respectively, which was ...

Two-laser-beam fluorescence cross-correlation spectroscopy (FCCS) is promising technique that provides quantitative information about the interactions of biomolecules. The p50/p65 heterodimer is the most abundant and well understood of the NFκB dimers in most cells. However, the quantitative value of affinity, namely the K(d), for the heterodimer in living cells is not known yet. To quantify th...

It is well established that the free-space Green's function can be recovered from the two-point cross-correlation function of a random noise field if the noise is white and isotropic. Ambient noise in the ocean rarely satisfies either of these conditions. However, a non-uniform spectrum could be pre-whitened by the application of a suitable filter but anisotropy cannot be so readily eliminated....

In this paper, we find the values and the number of occurrences of each value of the cross-correlation function Cd(τ) when d = 2k−1 2s−1 (2 k(i+1) − 2ki + 2s+1 − 2k − 1), where n = 2k, s is an integer such that 2s divides k, and i is odd.

We study historical correlations and lead-lag relationships between individual stock risk (volatility of daily stock returns) and market risk (volatility of daily returns of a market-representative portfolio) in the US stock market. We consider the cross-correlation functions averaged over all stocks, using 71 stock prices from the Standard & Poor's 500 index for 1994-2013. We focus on the beha...