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Lecture
Isometries: Definition and Examples
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Related lectures (55)
Symmetry in Modern Geometry
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Delves into modern geometry, covering transformations, isometries, and symmetries.
Isometries & Orientation in Modern Geometry
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Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.
Rotations and Symmetries
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Covers the preservation of isometry by rotations and symmetries.
Symmetries of the Wave Equation
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Explores the symmetries of the wave equation under Lorentz transformations and the Poincare group.
Linear Applications: Matrices and Transformations
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Explores linear applications, matrices, transformations, rotations, symmetries, and properties of applications.
Geometric Rotations in 2D
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Covers the geometric definition of rotations in 2D and analytical expressions for rotations using matrices.
2D Transformations: Linear Maps & Matrices
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Covers 2D transformations, linear maps, matrices, affine transformations, and orthogonal transformations.
Linear Applications: Properties and Associated Matrices
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Explores linear applications, matrix-vector products, and the linearity of transformations.
Symmetries in Mechanics and Wave Equations
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Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.
Linear Transformations: Matrices and Applications
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Explores linear transformations, matrices, and their properties, including surjectivity, injectivity, and symmetry operations.
Manopt: Optimization Toolbox for Manifolds
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Introduces Manopt, a toolbox for optimization on manifolds, focusing on solving optimization problems on smooth manifolds using the Matlab version.
Kinematics and Dynamics: Reference Frames, Vectors, and Accelerations
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Explores reference frames, vectors, accelerations, and rotations in physics, including kinematics of a material point and uniform circular motion.
Matrix Operations: Coefficients, Combinations, and Applications
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Covers matrix operations, coefficients, combinations, and applications in various scenarios.
Make it Stand: Geometric Computing
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Explores static equilibria, geometric data representations, and shape optimization to make a geometric object stand.
Linear Applications: Kernel and Image
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Covers the concepts of kernel and image of a linear application in linear algebra.
Moments of Force
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Explores moments of force, equilibrium, and statics through practical experiments.
Linear Algebra: Matrices and Vector Spaces
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Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.
Linear Algebra: Vector Families and Bases
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Explores linear independence, bases, and matrix applications in linear transformations.
Linear Applications Matrix
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Explains the matrix of linear applications and canonical matrices for transformations.
Deformation of Straight Beams
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Explores the deformation of straight beams, calculating deflections and rotations under different load cases.
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