We classify n-point extensions of ergodic Z-actions up to relative orbit equivalence and establish criteria under which one n-point extension of an ergodic Z-action can be sped up to be relatively isomorphic to an n-point extension of another ergodic Z-action. Both results are characterized in terms of an algebraic object associated to each n-point extension which is a conjugacy class of subgro...

We report the discovery of a galaxy at a redshift z = 6.17 identified from deep narrow band imaging and spectroscopic follow-up in one of the CFHT-VIRMOS deep survey fields at 0226-04. In addition to the existing deep BVRI images of this field, we obtained a very deep narrow band image at 920 nm with the aim of detecting Lyα emission at redshift ∼ 6.5. Spectroscopic follow-up of some of the can...

In this paper we have introduced and studied the subclass RI(d, α, β) of univalent functions defined by the linear operator RI n,λ,lf(z) defined by using the Ruscheweyh derivative Rf(z) and multiplier transformation I (n, λ, l) f(z), as RI n,λ,l : A → A, RI γ n,λ,lf(z) = (1 − γ)R f(z) + γI (n, λ, l) f(z), z ∈ U, where An = {f ∈ H(U) : f(z) = z+ an+1z + . . . , z ∈ U} is the class of normalized ...

In this paper N is a set with non empty elements. One can prove the following propositions: (1) For all sets x, y, z such that x 6= y and x 6= z holds {x, y, z}\{x} = {y, z}. (2) For every non empty non void AMI A over N and for every state s of A and for every object o of A holds s(o) ∈ ObjectKind(o). (3) Let A be a realistic IC-Ins-separated definite non empty non void AMI over N , s be a sta...

Having based on the analysis of Pietronero and collaborators the galaxy number counts can be considered as an evidence of that the geometry of the universe is euclidean and that the K-corrections are absent. In such a universe measuring the cosmological redshift of the object and measuring the flux from the object are inconsistent. It is considered the model of the universe which describes the ...

We present a brief account of rough mereology-an approach to problems of approximate reasoning about complex objects and we outline possible applications of the presented formalism. 1 Approximate reasoning based on rough mereology We would like to give here a brief account of the rough mere-ological approach to approximate reasoning. We propose this formalization as a tool for solving multi-age...

We present X-ray and optical observations of CXOMP J213945.0-234657, a high redshift (z = 4.93) quasar discovered through the Chandra Multiwavelength Project (ChaMP). This object is the most distant X-ray selected quasar published, with an X-ray luminosity of LX = 5.9× 10 44 erg s (measured in the 0.3-2.5 keV band and corrected for Galactic absorption). CXOMP J213945.0-234657 is a g dropout obj...

Scattering muon radiography was proposed recently as a technique of detection and 3-d imaging for dense high-Z objects . High-energy cosmic ray muons are deflected in matter in the process of multiple Coulomb scattering . By measuring the deflection angles we are able to reconstruct the configuration of high-Z material in the object . We discuss the methods for information extraction from muon ...

Throughout this lecture, we let k denote an algebraically closed field, ` a prime number which is invertible in k. In the previous, we define the `-adic cohomology H∗(X; Λ), where X is a quasi-projective k-scheme and Λ ∈ {Z`,Q`,Z/`Z}. Our first goal in this lecture is to review the corresponding theory of `-adic homology. Definition 1. Let Λ be a commutative ring, and let ModΛ denote the∞-categ...

For analytic functions f (z) in the open unit disk E and convex functions g(z) in E, has proved one theorem which is a generalization of the result by K. Sakaguchi [K. Sakaguchi, On a certain univalent mapping, J. Math. Soc. Japan 11 (1959) 72–75]. The object of the present paper is to generalize the theorem due to Pommerenke.