Let I be an ideal of subsets of a Polish space X, containing all singletons and possessing a Borel basis. Assuming that I does not satisfy ccc, we consider the following conditions (B), (M) and (D). Condition (B) states that there is a disjoint family F ⊆ P (X) of size c, consisting of Borel sets which are not in I . Condition (M) states that there is a Borel function f : X → X with f[{x}] / ∈ ...

This online supplement to Lewbel and Tang (2014) provides proofs and additional results. Section A provides results regarding existence of required sets of states and assumed support conditions. Section B provides further discussion and formal derivations of our asymptotic results, and Section C gives the proof of Theorem 3. This section provides further primitive conditions on model elements t...

First evidence for single top quark production has recently been found by both the D0 and CDF experiments. By combining three analyses, D0 measured a cross section of σ (pp̄ → tb+X, tqb+X) = 4.7± 1.3 pb, with a significance of 3.6 standard deviations, and CDF’s matrix elements analysis measured a cross section of σ (pp̄ → tb+X, tqb+X) = 3.0 −1.1 pb, with a significance of 3.1 standard deviations....

We perform a detailed analysis on the validity of geometric scaling in the total γ∗p cross section, σγ∗p. We propose to separate the small and large x behavior writing σγ∗p as a product of two functionsW and S representing, respectively, the dynamical degrees of freedom dominant at small x and a contribution only important at large x. Defining a reduced cross section σ̃γ∗p ≡ σγ∗p/S, we observe g...

The absorption cross-sections at room temperature are reported for the first time, of Br2 vapor in overlapping bound-free and bound-bound transition of A(3)pi1u <-- Xsigma(g)+, X(1)pi1u <-- X(1)sigma(g)+ and B(3)pi0u <-- X(1)sigma(g)+, using cavity ring down spectroscopy (CRDS) technique. We reported here, the A(3)pi1u <-- X(1)sigma(g)+, transition is included along with the two stronger X(1)pi...

This paper is a supplementary section to [1]. We show that without any additional hypothesis the main result in [1] (Theorem 1) can be considerably strengthened. Note: This paper can not be read independently of [1]. The numbering of equations, theorems and propositions as well as cross-references used here have to be understood as if this paper were an additional section to [1]. 6 Improved ver...

Since all the image data need in this research were collected from the highly modified AS&E 101ZZ system, it is important to give an overview to this scanning hardware. Section 3.1 gives a system hardware overview. Section 3.2 discusses issues regarding xray detectors and image preprocessing. Section 3.3 discusses the relationship between the x-ray signal intensity and the image gray level. Sec...

In this paper we study linear codes for CDMA (Code Division Multiple Access). This is the standard for the 3rd Generation cellular communications systems. In this standard bent functions are used for constructing codes of constant amplitude. This application allows to decrease PAPR (peak-to-average power ratio) coefficient as much as possible. Such codes consist of vectors of values for bent fu...

Motivated by the success of classical random walks and chaotic dynamical systems, we study the quantisation of the random walk over Z and its relationships with a classical chaotic system x → 2xmod1, x ∈ [0,1]. In the physics literature, quantum random walks have been studied, for instance, by Ambainis et al. [1] and Konno et al. [8, 9]. In [8], Konno shows that the quantum random walk over Z c...

Motivated by the success of classical random walks and chaotic dynamical systems, we study the quantisation of the random walk over Z and its relationships with a classical chaotic system x → 2xmod1, x ∈ [0,1]. In the physics literature, quantum random walks have been studied, for instance, by Ambainis et al. [1] and Konno et al. [8, 9]. In [8], Konno shows that the quantum random walk over Z c...