Moment invariants are a common approach widely used in pattern recognition. The fashionable invariants are proposed by Hu’s who used central moment to generate seven moment invariants. However, these invariants cause a problem with the existence of data which is concentrated near the center-of-mass since some of them are far away from it. Consequently, these data will be neglected, and the calc...

In a recent article the authors obtained a formula which relates explicitly the tail of risk neutral returns with the wing behavior of the Black Scholes implied volatility smile. In situations where precise tail asymptotics are unknown but a moment generating function is available we first establish, under easy-to-check conditions, tail asymptoics on logarithmic scale as soft applications of st...

We present a preliminary result for second moment of the light cone wave function of the pion. This parameter is the subject of a discrepancy between theoretical predictions (coming from lattice and sum rules) and a recent experimental result (that remarkably agrees with purely perturbative predictions). In this work we exploit lattice hypercubic symmetries to remove power divergences and, more...

We present two geometric descriptions of the frictional properties of a rigid body sliding on a planar surface. The limit surface LS, from classical plasticity theory, is the boundary of the set of all possible frictional forces and moments that can be sustained by the frictional interface. Zhukovskii’s moment finction is the frictional moment as a function of the instantaneous center of rotati...

An approach to apply ensembles of regression models, built over the chunks of a data stream, to aid in residential premises valuation was proposed. The approach consists in incremental expanding an ensemble by systematically generated models in the course of time. The output of aged component models produced for current data is updated according to a trend function reflecting the changes of pre...

Various complex oscillatory processes are involved in the generation of the motor command. The temporal dynamics of these processes were studied for movement detection from single trial electroencephalogram (EEG). Autocorrelation analysis was performed on the EEG signals to find robust markers of movement detection. The evolution of the autocorrelation function was characterised via the relaxat...

We prove the fourth power moment of the Euler–Zagier type double zeta-function ζ2(s1, s2) and provide an improvement on the Ω results of Kiuchi, Tanigawa, and Zhai. We also calculate the double integral under certain conditions.

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...

Sufficient dimension reduction aims at finding transformations of predictor X without losing any regression information of Y versus X . If we are only interested in the information contained in the mean function or the kth moment function of Y given X , estimation of the central mean space or the central kth moment space becomes our focus. However, existing estimators for the central mean space...

GEL methods which generalize and extend previous contributions are defined and analysed for moment condition models specified in terms of weakly dependent data. These procedures offer alternative one-step estimators and tests that are asymptotically equivalent to their efficient two-step GMM counterparts. The basis for GEL estimation is via a smoothed version of the moment indicators using kern...