Concept
Translation (geometry)
Related lectures (34)
Galilean Transformations: Spacetime and Measurements
Explores Galilean transformations in spacetime, focusing on measurements and coordinate transformations.
Isometries in Euclidean Spaces
Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
Euclidean Geometry: Operations and Constructions
Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.
Proper Actions and Quotients
Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.
Vector Geometry: Basic Notions
Covers basic notions of vector geometry, including scalar product, norm, and projection.
Coordinate Systems: Polar, Cylindrical, Spherical
Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.
Isometries & Orientation: Modern Symmetry
Explores isometries, reflections, rotations, and translations in space, as well as the structure theorem and configurations of planes and lines.
Conformal Transformations: Theory and Applications
Explores the theory and applications of conformal transformations, covering special conformal transformations and isomorphic transformations.
Signal Approximation and Orthogonal Bases
Explores signal approximation, orthogonal bases, Fourier series, correlation, and vector geometry.
Helical Curves: Theory and Applications
Explores the theory and applications of helical curves, focusing on circular helices with various parameters.