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Related lectures (32)
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Discrete Variables: Spatial Arrangement and Neighbourhood
Covers geometric properties, spatial arrangement, autocorrelation, and neighbourhood analysis in geographic information systems.
Curve Length
Explores the concept of curve length and its geometric properties.
Chaos Theory: Turbulence and Double Pendulum
Delves into Chaos Theory, exploring chaotic systems, sensitivity to initial conditions, and the dynamics of the double pendulum.
Geometric Areas: Integrals and Regions
Covers the calculation of areas using integrals for geometric regions defined by curves and parametric equations.
Procedural Content Generation
Explores procedural content generation using noise functions to create realistic terrains and textures with control over roughness.
Defects in Materials: Structure and Behavior
Explores defects in materials, grain boundaries, grain coarsening kinetics, the glass transition, and vacancy creation.
Curves: differentiability and smoothness
Explores the differentiability and smoothness of curves in R², covering criteria, singularity points, and length.
Reservoir Management: Design and Operation
Explores reservoir management principles, critical periods, and the Hurst effect in water availability analysis.
Curves and Isometries
Explores curves, isometries, Bezier curves, and the Frenet coordinate system.
L-Systems: Understanding and Applications
Covers the basics of L-Systems, explores various examples, discusses stochastic variations, and extends to 3D modeling.
Curves in Space: Parametric Equations and Surfaces
Covers the equations for curves and surfaces in space, including parametric and particular surfaces.
Riemannian distance, geodesically convex sets
Covers the structure of Riemannian manifolds, geodesic convexity, and the Riemannian distance function.
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