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Cartesian - DOAJ

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Last Updated: 03 January 2023

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Eccentric Harmonic Index for the Cartesian Product of Graphs

Suppose u03c1 is a simple graph, then its eccentric harmonic index is determined as the sum of the terms 2/ea+eb for the edges vavb, where ea is the eccentricity of the graph's ath vertex. u03c1 is the number 202,eb for the graph u03c1. We refer to He=He”u03c1. We also represent the eccentric harmonic index as He=He=He=He=u03c1. The EHI equations for the Hamming and Hypercube graphs are obtained. The EHI parameters for the Hamming and Hypercube graphs are found.

Source link: https://doi.org/10.1155/2022/9219613


Application of Half-Derivative Damping to Cartesian Space Position Control of a SCARA-like Manipulator

The proposed methodology, according to Mean absolute value of the end-effector position error and Integral Square Error, was able to minimize the tracking error, according to the same amount of Integral Control Effort and similar maximum actuation torques, according to Multibody simulation results.

Source link: https://doi.org/10.3390/robotics11060152


Miniature Manipulator Design and Cartesian Control for Minimally Invasive Transluminal Endoscopic Surgery

This paper explores a miniature manipulator under Cartesian custody for minimally invasive transluminal endoscopic surgery. The implicit function relationship in the continuum manipulator's kinematics was investigated. The numerical version of the inverse kinematics was obtained by using the regression analysis technique. With increased attention, the number of singularities in the manipulator workspace was investigated. Cartesian mapping control between the primary and secondary sides was impossible due to the presence of singularities. The discontinuity of the joint velocity at the singularity was prevented by introducing the smoothing technique of the joint course, but the primaryu2013secondary mapping under Cartesian control was realized. The trajectory-tracking experiment demonstrated that the smoothness of the joint course could enable the manipulator to pass through the singularity with ease. The Cartesian control demonstrated that the fixed-point marking experiment demonstrated that it would increase the experience of operation and task completion's efficiency.

Source link: https://doi.org/10.3390/mi13122171


Cartesian Difference Categories

Differential Cartesian differential classifications are categorised into groups that feature a differential combinator that axiomatizes the directional derivative. Classic differential calculus of smooth functions and categorical representations of the differential 0̆3bb -calculus are among Cartesian differentiation categories. We introduce Cartesian difference categories as a bridge between Cartesian differential classifications and change action models in this paper. Every Cartesian differential category is a Cartesian difference category, and we show how well-behaved change action models are Cartesian difference categories. In addition, every Cartesian difference category is offered with a tangent bundle monad, whose Kleisli category is also a Cartesian different category.

Source link: https://doi.org/10.46298/lmcs-17(3:23)2021


Tunable Vibration Absorber Design for a High-Precision Cartesian Robot

To be competitive in the market, it is vital to ensure high robot dynamics for reduced cycle times and accurate components consistency in metal sheet processing for automotive use. The Cartesian Robot prototype demonstrated poor dimensional stability during high accelerations after the first cutting tests. To minimize the robot vibration amplitude, the robot vibration amplitude is reduced by the design of a Tuned Mass Damper, which is in shear mode. Both an initial analysis of the robot frequency response and natural frequencies was carried out both by using a Finite Element model of the machine and experimentally.

Source link: https://doi.org/10.3390/robotics11050103


Various parameterizations of “latitude” equation – Cartesian to geodetic coordinates transformation

On a biaxial ellipsoid, the paper describes a solution to one of computational geodesy's most common problems - conversion between Cartesian and geodetic coordinates on a biaxial ellipsoid. Although the resulting equations can be generated in many ways, here we present a very elegant one based on vectors orthogonality. After Fukushima, the original latitude equations,u201d, are trigonometric ones, and their representation has been rescaled into an irrational model. The resulting equations regarding parametric latitude are basically the same as those that were used by Fukushima. All parameterizations of the u201clatitude equation, u201d, match to results, as shown by the author.

Source link: https://doi.org/10.2478/jogs-2013-0012


Cartesian Coordinates in Two-Dimensional Bone Histology Images for Quaternary Bone Remodelling Research

Palaeohistologists who work with well-preserved cortical bone can analyze two-dimensional histology photos for quantitative measures of secondary osteons and Haversian canals to restore bone reconstruction, as well as bone reconstruction. These XY coordinates are often overlooked within palaeohistological frameworks due to their assumed irrelevance to bone remodelling studies. A short review of the XY coordinates obtained by ImageJ/FIJI from 2D bone histology photographs, as well as a method for calculating XY distances that follow point counting's course. We're focusing on osteocyte lacunae, which are a marker for osteoblast-osteocyte conversion in live bone by replicating the procedure on a bone sample from a human Medieval English individual. We discuss the possibility of XY coordinates for reestablishing osteocyte lacunae and related bone remodelling activity by exchange of nutrients by neighboring cells.

Source link: https://doi.org/10.5334/oq.117


Socratic and Cartesian Personae: Undismembering and Liquidation

The Discourse on Methods and Meditations examines two individuals: Socrates as portrayed by Plato and Descartes as the narrator of the Discourse on Methods and Meditations. Descartes claims to have overcome ignorance by breaking down complex and specific aspects, establishing a self-conscious yet impersonal topic that comprehends and controls objects.

Source link: https://doi.org/10.1515/opphil-2022-0206


Cartesian space track planning for welding robot with inverse solution multi-objective optimization

An inverse solution multi-objective optimization scheme is suggested for Aiming at the fact that the traditional inverse solution optimization procedure is not comprehensive and doesn't consider the robot's layout and actual working conditions. The variation range of the rear three small joints of the welding robot is larger than that of the front three large joints, which reduces the power consumption. The position interpolation of a spherical linear interpolation based on unit quaternion is realized on this basis, as well as linear and arc welds. The combination of the inverse optimization algorithm and the interpolation technique makes the final trajectory, velocity, acceleration, posture curve, and joint displacement curve of the welding robot continuous, smooth, and without mutation, according to the MATLAB simulation results, which show that the combination of the inverse optimization technique and the interpolation technique makes the welding robot's end trajectory, velocity, acceleration, posture curve, and joint displacement curve of the welding robot continuous, smooth, and without mutation.

Source link: https://doi.org/10.1177/00202940221106570


An Advanced TRACE Modeling Approach: Automatic Connection of 3D Cartesian and Cylindrical VESSEL Components in Integral Plant Models

The Reactor Pressure Vessel and the core were extended with 3D coarse-mesh codes in the nuclear engineering sector, e. g. , TRACE, RELAP3D, CATHARE-3, etc. , were improved described by the 3D Thermal-Hydraulic processes that occurred within the Reactor Pressure Vessel and the core. The RPV is usually shaped like a cylinder, but the core is mainly a cube. Hence, the TRACE code includes a Cylindrical VESSEL and a Cartesian VESSEL. The study of the coolant mixing for an academic case and the AP1000 reactor illustrates TRACE's latest capabilities.

Source link: https://doi.org/10.3390/en15124384

* Please keep in mind that all text is summarized by machine, we do not bear any responsibility, and you should always check original source before taking any actions

* Please keep in mind that all text is summarized by machine, we do not bear any responsibility, and you should always check original source before taking any actions