The paper deals with a shape of geological discontinuities. This significantly affects the stability rock massifs. joint roughness coefficient (JRC) is one main indicators but methods its estimation are based on empirical analysis fracture curves in present. We propose new mathematically correct theory automatic JRC. It shows that determination JRC should be not only subjective experience, obje...

A Cubic Rank Transmuted Gumbel distribution (CTGD) in this article is a new generalization of the based on cubic ranking transmutation map. Examined are transmuted model's fundamental statistical properties, such as its hazard rate function, moment-generating moments, characteristic quantile entropy, and order statistics. Finally, usefulness applicability CTGD using two real data sets about wai...

Characteristic polynomials of random unitary matrices have been intensively studied in recent years: by number theorists in connection with Riemann zetafunction, and by theoretical physicists in connection with Quantum Chaos. In particular, Haake and collaborators have computed the variance of the coefficients of these polynomials and raised the question of computing the higher moments. The ans...

We give a new heuristic for all of the main terms in the integral moments of various families of primitive L-functions. The results agree with previous conjectures for the leading order terms. Our conjectures also have an almost identical form to exact expressions for the corresponding moments of the characteristic polynomials of either unitary, orthogonal, or symplectic matrices, where the mom...

In this paper, we adopt local Fourier transform as a texture representation scheme and derive eight characteristic maps for describing different aspects of co-occurrence relations of image pixels in each channel of the (SVcosH, SVsinH, V) color space. Then we calculate the first and second moments of these maps as a representation of the natural color image pixel distribution, resulting in a 48...

Abstract. We give a new heuristic for all of the main terms in the integral moments of various families of L-functions. The results agree with previous conjectures for the leading order terms. Our conjectures also have an almost identical form to exact expressions for the corresponding moments of the characteristic polynomials of either unitary, orthogonal, or symplectic matrices, where the mom...

In this paper, a novel method of image based palmprint matching based on features extracted from wavelet-based pseudo Zernike moments feature descriptor is proposed. Pseudo Zernike moments have additional properties of being more robust to image noise, possessing geometrical invariants property, having a nearly zero value of redundancy measure in a moment set due to its orthogonality property a...

0 |ζ( 1 2 + it)| dt. For positive real numbers k, it is believed that Mk(T ) ∼ CkT (logT ) 2 for a positive constant Ck. A precise value for Ck was conjectured by Keating and Snaith [9] based on considerations from random matrix theory. Subsequently, an alternative approach, based on multiple Dirichlet series and producing the same conjecture, was given by Diaconu, Goldfeld and Hoffstein [4]. R...