The topographical features of fractured tensile, flexural, K1C, and impact specimens of monolithic epoxy have been studied and correlated with mechanical properties and surface features of samples before fracture. The topographical features studied include waviness (Wa), roughness average (Ra), root mean square value (Rq), and maximum roughness height (Rmax or Rz). As surface notches generate t...

METHODS: Ocular wavefront maps were obtained from 19 normal eyes using a ShackHartmann aberrometer. The tenth Zernike order fit was considered to be the real wavefront of the eyes. Different fittings from second to ninth Zernike orders were computed and compared with the tenth order. The ratio of the root mean square (RMS) error between the different fittings and the original wavefront was calc...

Simple expressions allowing estimation of the turbulent density perturbation from the reflectometry phase root mean square (r.m.s.) measurements and accounting for the turbulence correlation length are given. The numerical procedure for precise turbulence radial profile reconstruction for different turbulence wave number spectra and both O-mode and X-mode reflectometry is proposed. It is valida...

The animation or capture of a virtual character’s hands is a complicated task, mostly due to the high number of degrees of freedom involved. However, the movements of different digits are often correlated with each other. In this paper we use Root Mean Square (RMS) deviations as a distance metric to analyse the correlations between different degrees of freedom of hands. Using the findings of ou...

The high-degree Earth Gravitational Model EGM08 allows for geoid determination with a resolution of the order of 5'. Using this model for estimating the quasigeoid height, we estimate the global root mean square (rms) commission error to 5 and 11 cm, based on the assumptions that terrestrial gravity contributes to the model with an rms standard error of 5 mGal and correlation length 0.01◦ and 0...

We introduce a distributionally robust minimium mean square error estimation model with Wasserstein ambiguity set to recover an unknown signal from noisy observation. The proposed can be viewed as zero-sum game between statistician choosing estimator—that is, measurable function of the observation—and fictitious adversary prior—that pair and noise distributions ranging over independent balls—wi...