Higher Haantjes Brackets and Integrability

We propose a new, infinite class of brackets generalizing the Frölicher–Nijenhuis bracket. This class can be reduced to a family of generalized Nijenhuis torsions recently introduced. In particular, the Haantjes bracket, the first example of our construction, is relevant in the characterization of Haantjes moduli of operators. We also prove that the vanishing of a higher-level Nijenhuis torsion of an operator field is a sufficient condition for the integrability of its eigen-distributions. This result (which does not require any knowledge of the spectral properties of the operator) generalizes the celebrated Haantjes theorem. The same vanishing condition also guarantees that the operator can be written, in a local chart, in a block-diagonal form.

Fuzzy Logic Modeling for Integrating the Thematic Layers Derived from Remote Sensing Imagery: A Mineral Exploration Technique

In this study, fuzzy logic modeling was implemented to fuse the thematic layers derived from principal components analysis (PCA) in order to generate mineral prospectivity maps. Advanced Spaceborne Thermal Emission and Reflection Radiometer (ASTER) and WorldView-3 (WV-3) satellite remote sensing data were used. A spatial subset zone of the Central Iranian Terrane (CIT), Iran was selected in this study. The PCA technique was implemented for the processing of the datasets and for the production of alteration thematic layers. PCA4, PCA5, and PCA8 were selected as the most rational alteration thematic layers of ASTER for the generation of a prospectivity map. The fuzzy gamma operator was used to fuse the selected alteration thematic layers. The PCA3, PCA4, and PCA6 thematic layers (most rational alteration thematic layers) of WV-3 were fused using the fuzzy AND operator. Field reconnaissance, X-ray diffraction (XRD) analysis, and Analytical Spectral Devices (ASD) spectroscopy were carried out to verify the image processing results. Subsequently, mineral prospectivity maps were produced showing high-potential zones of Pb-Zn mineralization in the study area.

Development of a highly automated mobile rig for the Australian CSG market

In Q2 2020, a fully automated rig will enter the coal seam gas fields of Queensland, to work for a major operator. It is expected to be 20–30% faster than current operations. This document describes the upfront iterative design process with local potential users. Following discussions with various contractors and operators it became evident that there was a gap to bridge between operator and contractor targets and in what current operations have to offer. Both strive for the highest safety levels and operational efficiency, reducing the overall time per well, completed by minimising environmental impact. The above fits in the overall industry trend of transformation from mechanised rigs towards fully automated hands-free operated rigs. It was with these ingredients that the basis of a new iterative design process was formed, in which input from the operator field lieutenants, contractor rig crews and the supporting office was translated into a technical design. The target was set to reduce 20–30% of time per well. Key elements were the choice for road legal trailerised loads with no loose items, which resulted in rig moves of 4–6 h. Fully automated sequenced pipe tripping and casing running contributed to big improvements in efficiency and safety level (no people on the floor during standard operations). Performance can be real-time evaluated and optimised by collecting all rig and downhole data on the OPC server. The server also controls the mud system, downhole data and other important systems. This enables through-life time optimisation.

The current status and indications of robotic surgery in the setting of benign and malignant gynaecological conditions

Objective . Robotic surgery has gained ground in recent years in benign and malignant gynecological interventions. The purpose of this article is to present the main indications of robotic surgery, to identify the advantages and disad­van­tages of this surgical technique and to present our ex­pe­rience in this field. Materials and method. An analysis of ar­ti­cles published in literature to observe the in­di­ca­tions of robotic surgery in gynecology, both for be­nign and ma­lig­nant interventions. Comparison of li­te­rature data with the main surgical indications found in the pa­tient group selected by us who received robotic sur­ge­ry. Results . The integration of robotic technology is a significant advance in the minimal invasive treatment techniques of the gynecological pathology used to treat both benign and malignant conditions. The advantages of robotic surgery are: 3D view of the operator field, superior dexterity, seven degrees of freedom for the movement of the brushes, superior capability of stitches and knots, superior ergonomics, elimination of the effect of the rebound, movement of the movements and reduction of tremor. The disadvantages of surgery are: the high cost of surgery, the lack of tactile feedback and the increased size of the device. Conclusions . Robotic surgery is an effective, safe and feasible method for the treatment of benign and malignant gynecological disorders. The optimal knowledge of trocars (adapted to the body mass index of each patient) is important in order to benefit from all the advantages of robotic surgery. Regarding the robotic surgical treatment group in which the feasibility of this procedure was observed, there are: oncological interventions, endometriosis, in reproductive medicine and in obese patients.

Color Image Processing and Self-Localization for a Humanoid Soccer Robot

The paper proposed a series of image processing algorithm to recognize the evidences in an image accurately for humanoid soccer robot, such as color image segmentation based on HSV model, edge detection based on four linear operator, field straight line extraction by Hough transform based on 8-neighbhour connected domain clusters and identification of line intersection shape based on Hopfield network. Based on evidences from image processing, Piecewise Monte Carlo localization is presented to solve kidnap problem so that localization of humanoid robot can be not only adapt to rule changes for competition, but also be more efficient and robust. The effectiveness of the piecewise MCL is verified by RoboCup Adult Size humanoid soccer robot, Erectus. The experimental results showed that the humanoid robot was able to solve the kidnap problem adaptively with two strategies: resetting or revising, in which resetting was more efficient than revising gradually.

THE g-OPERATIONAL CALCULUS

Using the g-calculus, introduced earlier by E. Pap, the g-operator field ℱg is introduced analogously to the classical field of Mikusiňski operators ℱ. The obtained results enable the solving of a certain nonlinear PDE of the Burgers type in a wider framework of the generalized functions, which is a generalization of the earlier obtained result.