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Related lectures (30)
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Frenet-Serret Formulas: Curvature and Torsion
Explores the Frenet-Serret formulas for curvature and torsion in three-dimensional space.
Regular Curves and Constant Speed
Covers regular curves and constant speed, with examples of circles and helices.
Kinematic Quantities and Linear Mass Density
Discusses kinematic quantities and linear mass density in examples of metal wires.
Geodesic Curves: Minimizing Distance and Constant Speed
Covers geodesic curves parameterized at constant speed to minimize distances between points.
Mechanics of Kirchhoff Rods I
Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.
Curves in Space: Parametric Equations and Surfaces
Covers the equations for curves and surfaces in space, including parametric and particular surfaces.
Surfaces in R^3: Curves and Regular Surfaces
Covers curves in R^2, regular surfaces in R^3, and geometric properties of edges.
Geometrical Aspects of Differential Operators
Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.
Surface of Revolution
Explains the parametric equations of surfaces of revolution generated by curves in space.
Curves with Poritsky Property and Liouville Nets
Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.
