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Related lectures (9)
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Quadratic Forms: Definitions, Examples
Covers the definition of quadratic forms in R^n with examples in R^2 and R^3.
Quadratic Surfaces in 3D Space
Explores quadratic surfaces in 3D space, discussing hyperboloids and their Cartesian equations, emphasizing the importance of reference frames.
Dynamics on Homogeneous Spaces and Interactions with Number Theory
Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.
Linear Systems: Operations and Solutions
Explores linear systems, row operations, and solution methods, emphasizing geometric interpretations and unique solutions.
Mild Dissipative Surface Dynamics
Explores mild dissipative surface dynamics, including conservative behavior and ergodic functions.
Canonical Analysis: Quadratic Geometry
Explores canonical analysis of quadratic functions to identify conic shapes in planes.
Developable Surfaces and Parametrization
Explores developable surfaces, parametrization, equations verification, and conformally flat surfaces.
Complements of Hypersurfaces in Projective Spaces
Explores the complement problem for hypersurfaces in projective spaces and discusses isomorphism based on their complements.
Implicit Function Theorem: Tangent Hyperplane
Explores the implicit function theorem for n=2 and n=3, focusing on tangent hyperplanes.
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