Concept

Cotangent space

Related lectures (12)

Explores the definition, properties, and geometric interpretations of tangent and cotangent functions in trigonometry.

Introduces one-forms, tensors, normal coordinates, and metric tensors in differential geometry.

Explores derivations and the Zariski tangent space in algebraic geometry, emphasizing their importance and practical applications.

Delves into tangent vectors as equivalence classes on manifolds, highlighting their abstract nature and role in optimization.

Explores the symmetries and properties of tangent and cotangent functions with different angles.

Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.

Covers the computation of matrices for mesh processing and the Laplace equation solution for mesh deformation.

Explores the properties of tangent and cotangent functions, including domains and periodicity.

Explains the relations in a right-angled triangle involving trigonometric functions.

Explores trigonometric addition theorem, double angles, and tangent properties.

Explores solving trigonometric equations with tangent and cotangent functions, along with arctangent and arccotangent definitions.

Introduces Manopt, a toolbox for optimization on manifolds, covering gradient and Hessian checks, solver calls, and manual caching.