According to the traditional view galaxies are clustered on small scales, and on large scales the distribution of galaxies and clusters of galaxies is random (i.e. scale-free). Such a distribution is expected for the currently popular structure formation scenario based on the evolving dynamics of the dark matter during the history of the Universe. Quantitatively this behaviour is described by t...

We give a condition for a Borel measure on R which is sufficient for the validity of an AD-type correlation inequality in the function space In [1] was proved that if φ1, φ2, φ3, φ4 are bounded real non negative measurable functions on the space with measure (Rn,B, μ) which satisfy for all x̄, ȳ ∈ R the following inequality φ1(x̄)φ2(ȳ) ≤ φ3(x̄ ∨ ȳ)φ4(x̄ ∧ ȳ) a.s., (1) then ∫ φ1(x̄)μ(dx̄) ∫ φ2(x̄)μ(dx̄)...

We use the Updated Zwicky Catalog of galaxies (Falco et al. 1999) to generate a catalog of groups, by means of a friend-of-friend algorithm. The groups identified have 4 or more members and a surrounding density contrast, δρ/ρ = 80. They cover the region −4 < δ < 90, |b| > 20 spanning over the radial velocity range of 2000 km s < cz < 15000 km s. The total sample (hereafter GUZC) comprises 517 ...

The paper presents second author’s step toward building quite new theory of fuzzy signals. Before, in the first step author defined fuzzy Fourier transform. Here, an approach to description of fuzzy correlation functions is proposed. New definitions, called later fuzzy correlation and defuzzified correlation are proposed for fuzzy signals. The definitions are based on new concepts of the class ...

pathological changes within an organ can be reflected as proteomic patterns in biological fluids such as plasma, serum, and urine. the surface-enhanced laser desorption and ionization time-of-flight mass spectrometry (seldi-tof ms) has been used to generate proteomic profiles from biological fluids. mass spectrometry yields redundant noisy data that the most data points are irrelevant features ...

Dust particles immersed within a plasma environment, such as those in protostellar clouds, planetary rings or cometary environments, will acquire an electric charge. If the ratio of the inter-particle potential energy to the average kinetic energy is high enough the particles will form either a “liquid” structure with short-range ordering or a crystalline structure with long range ordering. Man...