A combination of finite energy sum rule techniques and Chiral Perturbation Theory (χPT) is used in order to exploit recent ALEPH data on the non-strange τ vector (V ) and axial-vector (A) spectral functions with respect to an experimental determination of the χPT quantity L10. A constrained fit of R (k,l) τ,V−A inverse moments (l < 0) and positive spectral moments (l ≥ 0) adjusts simultaneously...

In this paper we propose an extension of the three-parameter Burr III distribution with the consideration of both theoretical and practical reasons. The research is motivated by low-flow frequency analysis in water resources research. Three commonly used parameter estimation methods were evaluated, including the method of moments, probability-weighted moments (or L-moments) and maximum likeliho...

We study the $2k$th moment of family twisted modular $L$-functions to a fixed prime power modulus at central values. establish sharp lower bounds for all real $k \geq 0$ and upper $0 \leq k 1$.

Landé factor Happ applied magnetic field (vector) Happ applied magnetic field (magnitude) Hm molecular field J exchange integral J total angular momentum k0 propagation vector l orbital quantum number l orbital momentum L orbital momentum L Langevin function m magnetic quantum number m0 measured magnetic moment at 0 K m magnetic moment ml orbital moment ms spin moment mz projection of m along H...

The embedding of a torus into an inner form PGL2 defines adelic toric period. A general version Duke’s theorem states that this period equidistributes as the discriminant splitting field tends to infinity. In paper we consider embedded diagonally two distinct forms PGL2. Assuming Generalized Riemann Hypothesis (and some additional technical assumptions), show simultaneous equidistribution infin...

Statistical recognition techniques have already been shown to achieve good performance in automatic gait recognition. However, the metrics were only statistical in nature and did not describe the intimate nature of gait. Accordingly, new velocity moments have been developed to describe an object and its motion throughout an image sequence. These moments are an extended form of centralised momen...

We show that for any lattice L ⊆ Rn and vectors x, y ∈ Rn, ρ(L+ x)2ρ(L+ y)2 ≤ ρ(L)2ρ(L+ x + y)ρ(L+ x− y) , where ρ is the Gaussian mass function ρ(A) := ∑w∈A exp(−π‖w‖ ). We show a number of applications, including bounds on the moments of the discrete Gaussian distribution, various monotonicity properties of the heat kernel on flat tori, and a positive correlation inequality for Gaussian measu...