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Lecture
The Discriminant: Symmetry and Orbits
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Related lectures (34)
Symmetry in Modern Topology
Explores the concept of symmetry in various geometric transformations.
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Introduces a new online format for the geometry course, emphasizing the study of isometries and the modern interpretation of symmetry.
Hyperbolic Functions: sinh(x) and cosh(x)
MOOC: Analysis I
MOOC: Analysis I (part 4) : Limit of a function, continuous functions
Explores the properties of sinh(x) and cosh(x) functions and their symmetry.
Wigner Theorem; Translation Symmetry
Explores the Wigner theorem, translation symmetry, eigenstates, and wave functions in quantum physics.
Global Conservation Laws
Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.
Symmetry in the Plane
Explores the modern definition of symmetry and its practical applications.
Circle Orthogonal & Poincaré Disk
Covers circle orthogonal and Poincaré disk concepts in geometry.
Isometries & Orientation: Modern Symmetry
Explores isometries, reflections, rotations, and translations in space, as well as the structure theorem and configurations of planes and lines.
Christoffel Symbols and Gravity Before Einstein
Introduces Christoffel symbols and gravity concepts before Einstein, discussing mathematical tensors and the Nobel Prize in Physics.
Symmetry in Modern Topology
Explores fundamental theorems and practical applications of modern symmetry theory, including decorative motifs and linear pattern extensions.
Symmetry in 3D Geometry
Explores symmetry in 3D geometry, focusing on normalization and axial reflections.
Symmetry: Noether Theorem
Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.
Duality Principle: Radon Measures and Homeomorphisms
Explores the Duality Principle for Radon measures and its applications.
Symmetry and Group Theory: Exercise Set 3
Covers Exercise Set 3 on Symmetry and Group Theory, focusing on chiral molecules, point groups, conjugacy, and group properties.
Normed Spaces
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Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Symmetry in Modern Geometry
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Delves into modern geometry, covering transformations, isometries, and symmetries.
Mechanics: Symmetric Haltere and Center of Mass
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Covers the mechanics of a symmetric haltere and the importance of center of mass calculation.
Multipole Expansion in Electrostatics and Magnetostatics
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Explores multipole expansion in electrostatics and magnetostatics, focusing on monopole, dipole, and higher-order moments, and their mathematical representations.
Symmetry in Finite Element Models
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Explores using symmetries in Finite Element models to simplify boundary conditions and reduce rigid-body motions.
Orthogonal Projections: Symmetry and Matrices
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Explores orthogonal projections, symmetry of matrices, and their applications.
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