In this paper we consider ν-MSR, a formalism that combines the two main existing approaches for multiset rewriting, namely MSR and CMRS. In ν-MSR we rewrite multisets of atomic formulae, in which some names may be restricted. ν-MSR are Turing complete. In particular, a very straightforward encoding of π-calculus process can be done. Moreover, pν-PN, an extension of Petri nets in which tokens ar...

If the fourth generation fermions exist, the new quarks could influence the branching ratio of the rare B → K * ν ¯ ν decay. Two possible solutions of the fourth generation CKM factor (V * ´ ts V ´ tb) (±) are obtained as a function of the new´t-quark mass (m ´ t) from the experimental results of the B → X s γ together with the semileptonic decay B → X c ℓ¯ ν. The branching ratio of the decay B...

I show a simple expression of the Mill's ratio of the Student's t-Distribution. I use it to prove Conjecture 1 in Peter Auer,Nicoì o Cesa-Bianchi, and Paul Fischer. Finite-time analysis of the multiarmed bandit problem. We first need the following technical lemma. Hence we have x e x 2 2 √ e x 2 − 1 − 1 ≤ x 1 √ e x 2 − 1 ≤ 1, (2) where in the last inequality we used exp(z) − 1 ≥ z. The followin...

and Applied Analysis 3 2. Preliminaries on Time Scales A time scale T is an arbitrary nonempty closed subset of the real numbers R. The most wellknown examples are T R, T Z, and T q : {qn : n ∈ Z}⋃{0}, where q > 1. The forward and backward jump operators are defined by σ t : inf{s ∈ T : s > t}, ρ t : sup{s ∈ T : s < t}, 2.1 respectively, where inf ∅ : supT and sup ∅ : inf T. A point t ∈ T is sa...

If neutrinos are massive, 'lepton flavour eigenstates' are absent from the amplitudes of all Standard Model processes. Measurements of Γ(π → eν)/Γ(π → µν) and of the MNS matrix are shown to exclude the existence of such states. Incoherent production of neutrinos of different flavour modifies the usual oscillation phase derived assuming production of a lepton flavour eigenstate. The new predicti...

Received ; accepted – 2 – ABSTRACT The efficiency and uniqueness of the diffusive shock acceleration is studied on the basis of the novel kinetic solutions. These solutions obtained earlier (paper I) selfconsistently describe a strong coupling of cosmic rays with the gas flow. They show that the dependence of the acceleration efficiency upon physical parameters is critical in nature. In this pa...

While there is no unequivocal evidence for neutrino mass, it is natural to suspect that the neutrinos, like the charged leptons and the quarks, have nonzero masses. Evidence of these masses is being sought through experiments on neutrinos created astrophysically, in the earth's atmosphere, by accelerators, by reactors, and by nuclear decays, and in studies of reactions where neutrinos appear on...

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