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Related lectures (28)
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Polar Coordinates: Position and Velocity
Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.
Conicité Parabolique
Explores the characteristics of parabolic conicity and demonstrates how to address related issues.
Geometric Constraints
MOOC: Material Point Mechanics
Explores how to handle mechanical problems with geometric constraints and associated forces.
Introduction to Non-Euclidean Geometry
Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.
Rotations: Fixed Points and Spherical Coordinates
Covers rotations around fixed points and spherical coordinates, discussing cinematic moments and angular velocity.
Introduction to Euclidean Elements
Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.
Introduction to Euclidean Geometry
Introduces the fundamental concepts of Euclidean geometry, exploring postulates, parallel lines, and non-Euclidean geometries.
Introduction to Euclidean Elements
Introduces the 5th postulate in Euclidean geometry and explores non-Euclidean geometries and their implications.
Untitled
Coordinate Systems and Rotations
Covers cylindrical and spherical coordinates, vector positions, velocities, accelerations, and rotations.
Deduction of Lagrange Formula II
Covers the deduction of the Lagrange formula and virtual displacements with examples of spherical slides.
Mechanics: Rotational Dynamics
Explores rotational dynamics, equilibrium analysis, forces in tension, and conservation principles in motion.
Coordinate Systems: Cylindrical, Spherical, Rotations
Covers cylindrical and spherical coordinates, position, velocity, and acceleration vectors.
Surface Tension and Wetting: Solid/Liquid/Gas Interfaces
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Explores surface tension, wetting, and the law of Laplace at interfaces.
Advanced Analysis II: Laplacian and Coordinates
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Covers the Laplacian operator in different coordinate systems and its applications in differential equations.
Stokes Formula: Streamfunction in Spherical Geometry
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Explores vorticity equations, advection-diffusion, solid body rotation, and Stokes formula in spherical geometry.
Learning Sparse Features: Overfitting in Neural Networks
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Discusses how learning sparse features can lead to overfitting in neural networks despite empirical evidence of generalization.
Lens Surfaces and Image Formation
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Explains how to find the position and nature of images formed by lenses.
Heat Conduction in Spherical Geometry
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Analyzes heat conduction in non-planar geometry using a submarine example.
Triple Integrals: Properties and Calculations
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Covers the definition of triple integrals, properties, and calculation methods.
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