Isometries in R^n

Related lectures (30)

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Discusses isometries and orthonormal bases in mathematics.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Explores the equivalence conditions for orthogonal matrices and includes examples of rotations.

Delves into modern geometry, covering transformations, isometries, and symmetries.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Explores isometries, reflections, rotations, and translations in space, as well as the structure theorem and configurations of planes and lines.

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.