Concept

N-sphere

Related lectures (30)

Explores conformal maps, hyperbolic geometry, and isometric properties of disks.

Covers the proof of the Jordan Curve Theorem and the properties of embedded spheres.

Explores geodesics on surfaces, focusing on minimizing distances and properties of paths, with examples like great circles on spheres.

Explores the intersection of a sphere, cone, and paraboloid in 3D space.

Explores the Jordan Curve Theorem, illustrating the division of a plane by a simple closed curve into two regions.

Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.

Explores the intersection between a sphere and a cone using spherical and cylindrical coordinates.

Explores the definitions, properties, and symmetry of spheres, including tangent planes and section circles.

Discusses center of gravity, variable change, spherical coordinates, and bijectivity in mathematical analysis.

Covers the Riemann sphere, focusing on its conditions and correlation functions in mathematical and physical contexts.

Explores the derivative of curve lengths, fixed-end deformations, geodesics, surface point typologies, and sphere parametrization.

Explores Gauss's Law applied to spheres, focusing on electric flux and field symmetry.

Explores the radiative properties of particle clouds, absorption, scattering, and extinction efficiencies, and Mie theory for spherical particles.

Demonstrates how to obtain homotopy equivalences between different spaces using the homotopy extension property.

Covers the missing projection of points on a sphere using principal planes.

Analyzes the motion of a ball on a hemisphere surface with forces and equations of motion.

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Explores conical sections, plane curves, and the perspective of a sphere and a circle.

Explains the parametric equations of surfaces of revolution generated by curves in space.

Covers volume and signal processing concepts in mathematical calculations and signal analysis.