Nonuniform Dual-Rate Extended Kalman-Filter-Based Sensor Fusion for Path-Following Control of a Holonomic Mobile Robot with Four Mecanum Wheels by Ricardo Pizá, Rafael Carbonell, Vicente Casanova, Ángel Cuenca, Julián J. Salt Llobregat

“…A modified Pure Pursuit path-tracking algorithm is used, where the reference linear velocity is decomposed into Cartesian components, which are parameterized by a variable gain that depends on the distance to the target point. …”
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Precision Interaction Force Control of an Underactuated Hydraulic Stance Leg Exoskeleton Considering the Constraint from the Wearer by Shan Chen, Tenghui Han, Fangfang Dong, Lei Lu, Haijun Liu, Xiaoqing Tian, Jiang Han

“…Under this assumption, the system dynamics are changed from a 3DOF underactuated system in joint space to a 2DOF fully actuated system in Cartesian space. Then, a three-level interaction force controller is designed in which the high-level controller conducts human motion intent inference, the middle level controller tracks human motion and the low-level controller achieves output force tracking of hydraulic cylinders. …”
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Simulation and modeling of polymer concrete panels using deep neural networks by Li Li, Mina Mortazavi, Harry Far, Ahmed M. El-Sherbeeny, Alireza Ahmadian Fard Fini

“…Temperature-dependent equations are determined using constitutive heat transfer and Cartesian coordinates. In addition, a thermal shock load acts on the upper part, and the lower part becomes an isothermal state with no heat flow. …”
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Categorical Nonstandard Analysis by Hayato Saigo, Juzo Nohmi

“…The category <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">U</mi><mi>S</mi><mi>p</mi><mi>a</mi><mi>c</mi><mi>e</mi></mrow></semantics></math></inline-formula>, which is shown to be Cartesian closed, gives a unified viewpoint toward topological and coarse geometric structure. …”
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Observation distribution modelling and closed-from precision estimation of scanned 2D geometric features for network design by D.D. Lichti, K. Pexman, T.O. Chan

“…Results from many real datasets, 95 circles and 30 lines, show that the distributions of the range observations and derived Cartesian coordinates follow model predictions. Moreover, results demonstrate that the method can predict circle parameter standard deviations within 4%–6% of the experimental values. …”
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Application of the HPCMP CREATE^TM-AV Kestrel to an Integrated Propeller Prediction by Pooneh Aref, Mehdi Ghoreyshi, Adam Jirasek, Jürgen Seidel

“…Two different simulation approaches were used: one using a single grid including wind tunnel walls and the second using a subset grid overset to an adaptive Cartesian grid that fills the space between the near-body grid and wind tunnel walls. …”
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Volumetric 23Na Single and Triple-Quantum Imaging at 7T: 3D-CRISTINA by Michaela A.U. Hoesl, Lothar R. Schad, Stanislas Rapacchi

“…This experimental study investigated the use and results of a new sequence, 3D-CRISTINA, on a phantom and healthy volunteers. Methods: The 3D Cartesian single and triple-quantum imaging of 23Na (3D-CRISTINA) was developed and implemented at 7T, favoring a non-selective volume excitation for increased signal-to-noise ratio (SNR) and lower energy deployment than its 2D counterpart. …”
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Existence of Purely Alvén Waves in Magnetic Flux Tubes with Arbitrary Cross-Sections by Michael S. Ruderman, Nikolai S. Petrukhin

“…We assume that the equilibrium magnetic field is propagating in the <i>z</i>-direction in Cartesian coordinates <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>x</mi><mo>,</mo><mi>y</mi></mrow></semantics></math></inline-formula>, and <i>z</i>. …”
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SARS-CoV-2 Spike Protein Interaction Space by Claudiu N. Lungu, Mihai V. Putz

“…The computations are based on crystallographic protein data bank PDB-based models of constitutive proteins. Cartesian coordinates of component atoms and some cluster maps were generated and analyzed. …”
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Application of Spherical-Radial Cubature Bayesian Filtering and Smoothing in Bearings Only Passive Target Tracking by Wasiq Ali, Yaan Li, Zhe Chen, Muhammad Asif Zahoor Raja, Nauman Ahmed, Xiao Chen

“…Simulations based experiments are executed for obtaining least Root Mean Square Error (RMSE) among a true and estimated position of a moving target at every time instant in Cartesian coordinates. Numerical results endorsed the validation of SRCKF and SRCRTS smoothers with better convergence and accuracy rates than that of UKF and URTS for each scenario of passive target tracking problem.…”
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A natureza gramatical das sensações: notas céticas sobre sentido e imaginação The grammatical nature of sensations: sceptical notes on meaning and imagination by José Benjamim Picado

“…The text indicates, finally, in the scope of the anti-cartesian texts by Ch.S.Peirce the main resources of an aesthetical theory coming from a philosophy of discursivity, applied to the perceptive judgements: his theory of semiotics constitutes, indeed, a radical transformation of some problems on inference, in the direction of a theory of the ampliative, or synthetic, forms of the understanding (mainly, the justification for the validity of hypothetical and inductive procedures, in science and in the description of denotative judgements).…”
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Developing a Model for Curve-Fitting a Tree Stem’s Cross-Sectional Shape and Sapwood–Heartwood Transition in a Polar Diagram System Using Nonlinear Regression by Asep Denih, Gustian Rama Putra, Zaqi Kurniawan, Effendi Tri Bahtiar

“…Since each <i>x</i>-point originating from the domain corresponds to two <i>y</i>-points on the graph of a closed curve (i.e., circle, ellipse, superellipse, or ovoid) in a rectangular (Cartesian) diagram, it does not fulfil the function’s requirements. …”
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Analisis Kinematika dan Pola Gerakan Berjalan pada Robot Bipedal Humanoid T-FLoW 3.0 by RYAN SATRIA WIJAYA, KEVIN ILHAM APRIANDY, M. RIZQI HASAN AL BANNA, RADEN SANGGAR DEWANTO, DADET PRAMADIHANTO

“…Invers kinematics model is to transform the input data in the form of a Cartesian position into an angle value for each joint parameter in each Degrees of Freedom (DoF). …”
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Dissociation Mode of the O–H Bond in Betanidin, pK_a-Clusterization Prediction, and Molecular Interactions via Shape Theory and DFT Methods by Iliana María Ramírez-Velásquez, Álvaro H. Bedoya-Calle, Ederley Vélez, Francisco J. Caro-Lopera

“…The RMD considers the cartesian coordinates of the atoms, the atomic mass, and the Mulliken charges. …”
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Complexity, Compassion and Self-Organisation: Human Evolution and the Vulnerable Ape Hypothesis by Nick P. Winder, Isabelle C. Winder

“…Biologists committed to the modern synthesis have either dismissed agency as a delusion wrought in our bodies by natural selection, or imposed a sharp, Cartesian split between 'natural' and 'artificial' ecologies. …”
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2D Photogrammetry as a Forwarder Load Measurement Technique by Ondřej Nuhlíček, Martin Slavík, Jiří Dvořák

“…<i>Materials and Methods:</i> Two cameras took pictures of the load; these photos were processed for camera lens distortion and rectified into the cartesian coordinate system, and the height of the load was calculated. …”
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Impact of interphase component transfer on CO2 distribution and pH during CO2 injection in the subsurface by Masra Awag, Eric Mackay, Saeed Ghanbari

“…In this research, calculations are performed using a numerical one-dimensional cartesian model with homogenous properties. We investigate how fast the pH changes as CO2 is injected into the system and how the presence of oil affects the velocity of the pH front. …”
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Multi Polar q-Rung Orthopair Fuzzy Graphs with Some Topological Indices by Andleeb Kausar, Nabilah Abughazalah, Naveed Yaqoob

“…Then, some product operations, inclusive of direct, Cartesian, semi strong, strong lexicographic products, and the union of multi polar <i>q</i>-rung orthopair fuzzy graphs (<i>m</i>-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="fraktur">PqROPFG</mi><mi>s</mi><mo>)</mo></mrow></semantics></math></inline-formula>, are obtained. …”
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Critical Reflexivity and Positionality on the Scholar–Practitioner Continuum: Researching Women’s Embodied Subjectivities in Sport by Fabiana Cristina Turelli, Alexandre Fernandez Vaz, David Kirk

“…Both views are informed by Cartesian thinking, perpetuating the mind–body dichotomy. …”
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An Innovative Collision-Free Image-Based Visual Servoing Method for Mobile Robot Navigation Based on the Path Planning in the Image Plan by Mohammed Albekairi, Hassen Mekki, Khaled Kaaniche, Amr Yousef

“…It is true that proposing any trajectory in the image plane can lead to non-intuitive movements (back and forth) in the Cartesian plane. In the case of backward motion, the robot may collide with obstacles as it navigates without direct vision. …”
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