Features for recognition of affinely distorted objects are of great demand. The affine moment invariants can be generated by a few methods, namely the graph method, the tensor method and the direct solution of the Cayley-Aronhold differential equation. The proof of their equivalence is complicated; it can be derived from the Gurevich’s proof for affine tensor invariants. The theme of this paper...

In this paper we introduce a novel algorithm of calculating arbitrary order cumulants of multidimensional data. Since the n order cumulant can be presented in the form of an n-dimensional tensor, the algorithm is presented using the tensor network notation. The presented algorithm exploits the super–symmetry of cumulant and moment tensors. We show, that proposed algorithm highly decreases the c...

In this work, we derive the asymptotic expansion of the velocity field of a small deformable droplet immersed in an incompressible Newtonian fluid. Using an appropriate physical scaling of the surface tension with respect to the droplet volume we show that the first order of the asymptotic can be expressed in terms of the velocity field in absence of the droplet and a new kind of moment tensor ...

We consider quantum effects of an electromagnetic field in a radiation–dominated almost FRW spacetime. The dominant non–local quantum correction to the photon distribution is a quadrupole moment, corresponding to an effective anisotropic pressure in the energy–momentum tensor.

Ab initio Dirac-Fock calculations of PT-odd interactions in TlF are reported which employ large sets of kinetically balanced Gaussian basis functions. Revised estimates are reported of bounds on the value of the electric dipole moment of the proton, dp , the tensor-pseudotensor coupling constant, CT , and the Schiff moment of the Tl nucleus, Q, based on analysis of existing experimental data. [...

We propose to adopt the precisely measured anomalous magnetic moment and Lamb shift as tests for the possible existence of the radiatively induced Lorentz and CPT violation effects in quantum electrodynamics. To this end we calculate the one-loop vacuum polarization tensor and vertex radiative correction in dimensional reduction and on-shell renormalization scheme. We then explicitly show how t...

In this article, we study the magnetic moment of the pentaquark Θ(1540) as (scalar)diquark-(pseudoscalar)diquark-antiquark state with the QCD sum rules approach in the external electromagnetic field. Due to the special structure of the interpolating current, only the electromagnetic interactions of the s quark with the external field have contributions to the magnetic moment with tensor structu...

At periods greater than 1000 seconds, Earth's seismic free oscillations have anomalously large amplitude when referenced to the Harvard Centroid Moment Tensor fault mechanism, which is estimated from 300- to 500-second surface waves. By using more realistic rupture models on a steeper fault derived from seismic body and surface waves, we approximated free oscillation amplitudes with a seismic m...

Regional distance seismic moment tensor determinations and broadband waveforms of moment magnitude 4.6 to 4.9 earthquakes from a November 1997 Long Valley Caldera swarm, during an inflation episode, display evidence of anomalous seismic radiation characterized by non-double couple (NDC) moment tensors with significant volumetric components. Observed coseismic dilation suggests that hydrothermal...

Moment invariants are popular descriptors for real valued functions. Their independence from certain transformations makes them a powerful tool for the recognition of patterns and shapes. It has recently been demonstrated that the basic ideas can also be transferred to vector valued functions. Vector moment invariants can be used to define and search for interesting flow structures. A generaliz...