Comparisons of automatic evaluation metrics for machine translation are usually conducted on corpus level using correlation statistics such as Pearson’s product moment correlation coefficient or Spearman’s rank order correlation coefficient between human scores and automatic scores. However, such comparisons rely on human judgments of translation qualities such as adequacy and fluency. Unfortun...

Perturbative estimates of operator coefficients for improved lattice actions are becoming increasingly important for precision simulations of many hadronic observables. Following previous work by Dimm, Lepage, and Mackenzie, we consider the feasibility of computing operator coefficients from numerical simulations deep in the perturbative region of lattice theories. Here we introduce a backgroun...

We consider the problem of constructing a confidence interval for the intraclass correlation coefficient in an interrater reliability study when the raters are assumed to be randomly selected from a population of raters. A Monte Carlo simulation study is conducted to investigate the true coverage probabilities of the commonly used intervals proposed by Fleiss and Shrout, which rely on Satterthw...

Dipole moments of poly(trimethylene oxide) chains [CH2-CH2-CH2-0-]x were determined as a function of degree of polymerization and temperature by means of dielectric constant measurements in the thermodynamically good solvent carbon tetrachloride. The mean-square dipole moment was found to be directly proportional to the degree of polymerization x, or the number of skeletal bonds, thus demonstra...

We determine which (ordinary) Riordan arrays are the coefficient arrays of a family of orthogonal polynomials. In so doing, we are led to introduce a family of polynomials, which includes the Boubaker polynomials, and a scaled version of the Chebyshev polynomials, using the techniques of Riordan arrays. We classify these polynomials in terms of the Chebyshev polynomials of the first and second ...

It is shown that the contribution to the induction which at an internal point of a spin density distribution is mathematically described as a local is virtually caused by the summing-up of the fields created by all elements of this distribution. Therefore, the proportionality coefficient between this contact (Fermi) field and magnetic moment density at the point of observation is equal to 8π/3 ...

Model of Non-homogeneous Problem (3.2) This is given explicitly in [E-L-T.2]. 4. CONSEQUENCE OF THE STRUCTURAL DECOMPOSITION: A STRATEGY FOR THE CONTROLLABILITY PROBLEM 4.0. Preliminaries [L-T.7 Sect. 6] presents a strategy, essentially already used in [LT.3, pp. 119–120], to obtain an exact controllability (surjectivity) result. In the present case of thermo-elastic plates, its applicability i...

Models of infectious diseases are characterized by a phase transition between extinction and persistence. A challenge in contemporary epidemiology is to understand how the geometry of a host's interaction network influences disease dynamics close to the critical point of such a transition. Here we address this challenge with the help of moment closures. Traditional moment closures, however, do ...