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Related lectures (30)
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Constructing Correlators with Path Integrals
Explores constructing correlators using path integrals in quantum mechanics, focusing on the Euclidean and Minkowski spaces and the significance of imaginary time evolution.
Gaussian Measure and Perimetric Inequalities
Covers isoperimetric inequalities and Gaussian measure on Euclidean space.
Isoperimetric Qualities: Inequalities & Proofs
Explores isoperimetric qualities, including Brunn-Rnkauskis inequality and Grünbaum's theorem, with proofs and examples.
Conformal Symmetries in Euclidean and AdS Spaces
Explores conformal symmetries in Euclidean and AdS spaces, isometries, induced metric, Poincaré coordinates, and boundary structure.
Question of Motivation
Introduces orthogonal and symmetric matrices in linear algebra with practical examples.
Shells I: Mechanics of Slender Structures
Covers linear and membrane theories of pressure vessels, differential geometry of surfaces, and the reduction of dimensionality from 3D to 2D.
Geometrical Aspects of Differential Operators
Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.
Norms in Rn
Covers the concept of norms in Rn and their applications.
Introduction to Euclidean Elements
Introduces the 5th postulate in Euclidean geometry and explores non-Euclidean geometries and their implications.
Orthogonal Bases and Projection
Introduces orthogonal bases, projection onto subspaces, and the Gram-Schmidt process in linear algebra.