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Kohonen Maps: Mini Projects 1
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Related lectures (54)
Embedding Space: AdS and Euclidean Geometry
Covers the concept of embedding space for AdS and Euclidean geometry, discussing AdS isometries and Euclidean Ads.
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Piston on a Box: COMSOL Example 8
Covers the simulation of a piston on a box using COMSOL Multiphysics.
Simulation: Control of Dynamic Systems
Explores simulation of common structures and control of dynamic systems through friction and elasticity constants.
Euclidean Geometry: Operations and Constructions
Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.
Optimization and Simulation: Introduction to Simulation
Introduces state-of-the-art methods in optimization and simulation, covering topics like statistical analysis, variance reduction, and simulation projects.
Isometries in Euclidean Spaces
Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
Turbulence: Simulation and Models
Explores turbulence simulation, modeling forces, and flow features using CFD, emphasizing challenges and modeling assumptions.
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Covers the concept of Quantum Field Theory in Ads and CFT correlators.
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Explores simulation pitfalls, random numbers, discrete & continuous distributions, and Monte-Carlo integration.
Introduction to Euclidean Geometry
Introduces the fundamental concepts of Euclidean geometry, exploring postulates, parallel lines, and non-Euclidean geometries.
Introduction to Euclidean Elements
Introduces Euclidean Elements, discussing logical structure, types of propositions, definitions, common notions, and postulates.
Solid Mechanics: Modeling and Simulation
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Modeling Prisoner's Dilemma: Naive vs. Optimal
Explores the modeling of the '100 prisoners' problem and compares naive and optimal approaches.
Scalar Product and Euclidean Spaces
Covers the definition of scalar product, properties, examples, and applications in Euclidean spaces, including the Cauchy-Schwartz inequality.
The Pulsating Sphere: ComSol Example
Delves into simulating sound radiation from a pulsating sphere using ComSol software.
Introduction to Euclidean Elements
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Orthogonality and Gram-Schmidt Process
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Explores orthogonality, Gram-Schmidt process, dot products, and solution minimization in systems.
Euclidean Isometries: Properties and Applications
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Explores the properties and applications of Euclidean isometries in R^2.
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