Most Ground Penetrating Radar (GPR) measurements are performed on nearly flat areas. If strongly dipping reflections and/or diffractions are present in the GPR data, a classical migration processing step is needed in order to determine the geometries of shallow structures. Nevertheless, a standard migration routine is not suitable for GPR data collected on areas showing a variable and large top...

To date, one of the main challenges in wave energy field is to achieve energy-maximizing control order reduce levelized cost (LCOE). This paper presents a model predictive velocity tracking method based on hierarchical structure for Wavestar-like deivce WEC-SIM benchmark. The first part system aims estimate excitation moment (WEM) by using Kalman filter. Then, an extended filter (EKF) chosen ob...

the reader to [1], [16], [17], [21], and their bibliographies, to get a taste of the variety of approaches used to study this descriptor. In [28], Zhou et al. studied the extremal graphs with given matching number, connectivity and the minimal Kirchhoff index. Also in [23], [25] and [26] the authors determined independently the extremality on the unicyclic graphs with respect to the Kirchhoff i...

We study solution methods for boundary value problems associated with the static Kirchhoff rod equations. Using the well known Kirchhoff kinetic analogy between the equations describing the spinning top in a gravity field and spatial rods, the static Kirchhoff rod equations can be fully integrated. We first give an explicit form of a general solution of the static Kirchhoff equations in paramet...

In this article we state a relation between the Kirchhoff and Wiener indices of a simple connected graph G and the Kirchhoff and Wiener indices of those subgraphs of G which are induced by its blocks. Then as an application, we define a composition of a rooted tree T and a graph G and calculate its Kirchhoff index in terms of parameters of T and G. Finally, we present an algorithm for computing...

We collect recent ideas on transforming integral operators for imaging/inversion that use quotients of wave fields into operators that use products of wave fields; that is, transforming deconvolution-type operators into correlation-type operators. The transformation avoids evaluation of extremely large or extremely small numbers; hence, the designation “computer-friendly.” For this author, “inv...

Tetrahedrane-derived compounds consist of n crossed quadrilaterals and possess complex three-dimensional structures with high symmetry dense spatial arrangements. As a result, these hold great potential for applications in materials science, catalytic chemistry, other related fields. The Kirchhoff index graph G is defined as the sum resistive distances between any two vertices G. This article f...

In electric circuit theory, it is of great interest to compute the effective resistance between any pair of vertices of a network, as well as the Kirchhoff index. During the past decade these parameters have been applied in organic chemistry as natural structural indexes different from the usual ones in order to achieve an improvement in the discrimination between different molecules that have ...