Geometric analysis

Related lectures (31)

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Explores the concept of curve length and its geometric properties.

Explores the equilibrium of cylindrical pressure vessels and the parametrization of cylindrical surfaces.

Explores tangent planes to cones and cylinders, parallel and perpendicular to given directions.

Explores the exponential mixing of 3D Anosov flows and their geometric properties, including chaotic behavior and hyperbolic dynamics.

Explores triangle properties like inequalities, medians, and orthocenters using analytical geometry.

Explores the limitation to 5 faces of regular polyhedra and the construction of summit pyramids.

Covers spatial arrangement, neighborhood, and statistical measures for analyzing spatial patterns in geographic information systems.

Covers the calculation of curvature in beams and the design of beams for stress considerations.

Explores conformity and compliancy in geometry, emphasizing angle preservation and function conditions.

Explores equilibrium of cylindrical shells, parametrization of surfaces, and geometrical properties.