Results 51 to 60 of about 824,488 (198)
An Explicit Construction of Kaleidocycles by Elliptic Theta Functions
Studies in Applied Mathematics, Volume 156, Issue 5, May 2026.ABSTRACT We study a configuration space consisting of ordered points on the two‐dimensional sphere satisfying a system of quadratic constraints. We construct explicit periodic orbits in the configuration space using elliptic theta functions. The constructed orbits simultaneously satisfy semi‐discrete analogues of the modified KdV and sine‐Gordon ...
Shizuo Kaji +2 more
wiley +1 more source
Geometric Kinematic Approach to Rigid Objects with Point Contact Based on A Local-Surface Frame
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 Controlling the relative motion between two contactingrigid bodies is necessary when manipulation and locomotion tasks areencountered in robotics. In this paper, we express the kinematics ofspin-rolling motion of rigid objects with point contact based on
Vahide Bulut
doaj +1 more source
Curves in Multiplicative Equiaffine Space
MathematicsIn this study, the geometric properties of curves in multiplicative equiaffine space are investigated using multiplicative calculus. Fundamental geometric concepts such as multiplicative arc length, multiplicative equiaffine curvature, and torsion are ...
Meltem Ogrenmis, Alper Osman Ogrenmis
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Perception, Planning and Control for Self-Driving System Based on On-board Sensors
Advances in Mechanical Engineering, 2020 The autonomous vehicle can recognize and understand environment, self-control, and achieve the driving level of the human driver. To create this kind of system, the following work was carried out: (a) a real time lane detection system is proposed, based ...
Yanyan Dai, Suk-Gyu Lee
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A New Orthogonal Geomagnetic Coordinate System: The Generalized Eccentric Dipole
Journal of Geophysical Research: Space Physics, Volume 131, Issue 4, April 2026.Abstract The study of near‐Earth plasma environment relies heavily on accurate geomagnetic coordinate systems, mainly because the plasma motion is controlled by the E×B $\boldsymbol{E}\times \boldsymbol{B}$ drift and thus is constrained by the structure of the magnetic field.
Antoine Resseguier +2 more
wiley +1 more source
Rational continuity: parametric, geometric, and Frenet frame continuity of rational curves [PDF]
ACM Transactions on Graphics, 1989 The parametric, geometric, or Frenet frame continuity of a rational curve has often been ensured by requiring the homogeneous polynomial curve associated with the rational curve to possess either parametric, geometric, or Frenet frame continuity, respectively. In this paper, we show that this approach is overly restrictive and derive the constraints on
Michael E. Hohmeyer, Brian A. Barsky
openaire +3 more sources
Constructions of Frenet Curves with respect to Semi-Symmetric Metric Connection [PDF]
Using a semi-symmetric metric connection, we construct Frenet frame and curvatures of curves in 3-dimensional manifolds and give examples of semi-symmetric Frenet curves in Euclidean, Sasakian and Kenmotsu manifolds.9 ...
Güvenç, Şaban
core +3 more sources
Advanced Science, Volume 13, Issue 15, 13 March 2026.A predictive model for 3D printability is developed by integrating rheological analysis, including the Large Amplitude Oscillatory Shear (LAOS) test, with machine learning. With prediction errors under 10%, the model shows that post‐extrusion recovery controls horizontal printability, while high‐strain‐rate nozzle flow dictates vertical printability ...
Eun Hui Jeong +7 more
wiley +1 more source
The Frenet Frame and Space Curves [PDF]
, 2019 Essential to the study of space curves in Differential Geometry is the Frenet frame. In this thesis we generate the Frenet equations for the second, third, and fourth dimensions using the Gram-Schmidt process, which allows us to present the form of the ...
Ross, Catherine Elaina Eudora
core
Wave Propagation in Non‐Uniform Media by Linear Expansion of the Refraction Law
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT The propagation of mechanical waves in an unbounded, non‐uniform medium can be described by using curvilinear coordinates centered at the source position. The Frenet coordinate system, with origin on a point riding a wave, is used as a basis for the curvilinear coordinates.
Alessandro Bassetti, Oskar Bschorr
wiley +1 more source