Lectures related to Point (geometry)

Rayleigh Criterion: Distance Calculation

Demonstrates the calculation process using the Rayleigh criterion to differentiate between point objects at a distance of 25 meters.

Topological Optimization SP80: R3

Explores topological optimization for reducing mass while preserving mechanical properties through 3D metal printing.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Advanced Physics I: Orders of Magnitude

Explores the triumph of determinism in modern mechanics and the methodology of scientific development, with practical exercises on estimating surgical mask usage and analyzing atomic bomb energy.

Isoperimetric Qualities: Inequalities & Proofs

Explores isoperimetric qualities, including Brunn-Rnkauskis inequality and Grünbaum's theorem, with proofs and examples.

Clustering: k-means

Explains k-means clustering, assigning data points to clusters based on proximity and minimizing squared distances within clusters.

Geometric Surfaces: Paraboloid and Hyperboloid Concepts

Covers the geometric properties of hyperbolic paraboloids and hyperboloids, focusing on their construction and curvature characteristics.

Stochastic Simulation: Low-Discrepancy Point Sets

Explores low-discrepancy point sets in stochastic simulation and their construction algorithms.

Surfaces: Curvature and Development

Explores surfaces with variable curvature, constant curvature, and gothic surfaces, as well as singularities and the inversion of normals.

Physics of Toboggan Jump

Covers the physics of a toboggan jump, analyzing forces, speeds, and motion equations.

Geometric Surfaces: Paraboloids and Hyperboloids in Architecture

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Introduction to Structural Mechanics

Introduces structural mechanics concepts like distributed loads, centroids, and equilibrium in 2D and 3D.

Advanced Physics I: Solid Bodies

Covers advanced topics in physics related to energy, collisions, and variable mass systems.

Physics 1: Harmonic Oscillator and Spherical Coordinates

Explores harmonic oscillators, pendulum movement, and spherical coordinates in physics.

Unsupervised Learning: Clustering & Dimensionality Reduction

Introduces unsupervised learning through clustering with K-means and dimensionality reduction using PCA, along with practical examples.

Analytical Study of Lines in the Plane

Explores parametric equations, vectors, medians, landmarks, and Cartesian equations of lines in the plane.

Vertical Metronome: Equilibrium and Stability

Explores equilibrium and stability of a vertical metronome system with springs.

Point Interior and Boundary in Real Numbers

Explores point interior and boundary concepts in real numbers, covering definitions and implications.

Spatial Discrete Variables, Spatial Arrangement and Neighborhood

Covers spatial arrangement, neighborhood, and statistical measures for analyzing spatial patterns in geographic information systems.

Kinetic Theory of Plasma: Linearized Vlasov Equations

Explores the kinetic theory of plasma, focusing on linearized Vlasov equations in hot magnetized plasmas and the behavior of plasma particles in phase space.