Let A be a Banach algebra, and let E be a Banach A-bimodule. A linear map S :AMNE is intertwining if the bilinear map (a, b)PN (δ"S ) (a, b)B a[Sb®S(ab)­Sa[b, A¬AMNE, is continuous, and a linear map D :AMNE is a deriŠation if δ"D ̄ 0, so that a derivation is an intertwining map. Derivations from A to E are not necessarily continuous. The purpose of the present paper is to prove that the continui...

Several authors have proposed methods to measure the phase γ of the Cabibbo-Kobayashi-Maskawa (CKM) unitarity triangle using decays of the type B → DK. We show how to remove uncertainties from these measurements and increase their sensitivity by measuring CP-conserving phases at a charm factory. 1 CP-violation experiments can be used to test the standard model and probe new physics. Decays of t...

The clustering of galaxies relative to the underlying mass distribution declines with cosmic time for three reasons. First, nonlinear peaks become less rare events as the density field evolves. Second, the densest regions stop forming new galaxies because their gas becomes too hot to cool and collapse. Third, after galaxies form, they are subject to the same gravitational forces as the dark mat...

In the paper it is shown that in a Banach space with a basis there is a norm with property (β) of S. Rolewicz if and only if there is a norm which is simultaneously nearly uniformly convex and nearly uniformly smooth. The Kuratowski measure of noncompactness of a set A in a Banach space is the infimum α(A) of those ǫ > 0 for which there is a covering of A by a finite number of sets Ai with diam...

Let P (n) stand for the largest prime factor of n ≥ 2 and set P (1) = 1. For each integer n ≥ 2, let δ(n) be the distance to the nearest P (n)-smooth number, that is, to the nearest integer whose largest prime factor is no larger than that of n. We provide a heuristic argument showing that � n≤x 1/δ(n) = (4 log 2 − 2 + o(1))x as x → ∞. Moreover, given an arbitrary real-valued arithmetic functio...

Let X be a finite connected simplicial complex, and let δ be a perversity (i.e., some function from integers to integers). One can consider two categories: (1) the category of perverse sheaves cohomologically constructible with respect to the triangulation, and (2) the category of sheaves constant along the perverse simplices (δ-sheaves). We interpret the categories (1) and (2) as categories of...

By assuming the reflectivity series to be sparse rather than ”white”, we introduced the hybrid norm spiking deconvolution (Zhang, 2010). However one theoretical drawback of spiking deconvolution is that it assumes the source wavelet to be minimum-phase, which might not be true in practice. We propose a new formulation of spiking deconvolution with the hybrid solver that does not require such as...

and Applied Analysis 3 Remark 2.2. For each t0 ∈ T \ {maxT}, the single-point set {t0} is Δ-measurable, and its Δmeasure is given by μΔ {t0} σ t0 − t0 μ t0 . 2.2 Obviously, E1 ⊂ A does not have any right-scattered points. For a set E ⊂ T, define the Lebesgue Δ-integral of f over E by ∫ Ef t Δt and let f ∈ LT E,R see 8 . Lemma 2.3 see 8 . Let f : a, b T → R. f̃ : a, b → R is the extension of f to...

Lemma 9 (Lemma 1 restated). Let h 1 ,. .. , h n−1 be an ensemble of hypotheses generated by an online learning algorithm working with a bounded loss function : H× Z × Z → [0, B]. Then for any δ > 0, we have with probability at least 1 − δ,

The possibility of beauty baryon polarization measurement by cascade decay angular distribution analysis in the channel Λ J/ψ → pπ−l+l− is demonstrated. The error analysis shows that in the proposed LHC experiment ATLAS at the luminosity 104pb−1 the polarization can be measured with the statistical precision better than δ = 0.010 for Λb and δ = 0.17 for Ξ 0 b .