The ν-Support Vector Regression (ν-SVR) is an effective regression learning algorithm, which has the advantage of using a parameter ν on controlling the number of support vectors and adjusting the width of the tube automatically. However, compared to ν-Support Vector Classification (ν-SVC) (Schölkopf et al., 2000), ν-SVR introduces an additional linear term into its objective function. Thus, di...

For α, β, γ, δ ∈ Z and ν = (α, β, γ, δ), the q-Fibonacci numbers are given by F ν 0 (q) = 0, F ν 1 (q) = 1 and F ν n+1(q) = q αn−βF ν n (q) + q γn−δF ν n−1(q) for n > 1. And define the q-Lucas number Ln(q) = F ν n+1(q)+ q γ−δF ν∗ n−1(q), where ν∗ = (α, β− α, γ, δ − γ). Suppose that α = 0 and γ is prime to n, or α = γ is prime to n. We prove that Ln(q) ≡ (−1) (mod Φn(q)) for n > 3, where Φn(q) i...

The main purpose of this paper is to present some properties of the meromorphic solutions of complex difference equation of the form ∑ λ∈I αλ z ∏n ν 1f z cν lλ,ν / ∑ μ∈J βμ z ∏n ν 1f z cν mμ,ν R z, f z , where I {λ lλ,1, lλ,2, . . . , lλ,n | lλ,ν ∈ N ∪ {0}, ν 1, 2, . . . , n} and J {μ mμ,1,mμ,2, . . . , mμ,n | mμ, ν ∈ N ∪ {0}, ν 1, 2, . . . , n} are two finite index sets, cν ν 1, 2, . . . , n a...

Kuipers and Veldman conjectured that any 3-connected claw-free graph with order ν and minimum degree δ ≥ ν+6 10 is Hamiltonian for ν sufficiently large. In this paper, we prove that if H is a 3-connected claw-free graph with sufficiently large order ν, and if δ(H) ≥ ν+5 10 , then either H is hamiltonian, or δ(H) = ν+5 10 and the Ryjác̆ek’s closure cl(H) of H is the line graph of a graph obtained...

KARMEN, the KArlsruhe Rutherford Medium Energy Neutrino experiment, is located at the pulsed spallation neutron source ISIS of the Rutherford Appleton Laboratory. In the ISIS beam stop ν µ , ν e and ¯ ν µ are produced from the π + –µ + decay chain at rest with energies up to 52.8 MeV. Besides a very low ¯ ν e contamination, ISIS stands out for its unique time structure. This allows for a highly...

We consider the " standard " spectrum of the active neutrinos (characterized by strong mass hierarchy and small mixing) with additional sterile neutrino, ν s. The sterile neutrino mixes strongly with the muon neutrino, so that ν µ ↔ ν s oscillations solve the atmospheric neutrino problem. We show that the parametric enhancement of the ν µ ↔ ν s oscillations occurs for the high energy atmospheri...