Concept

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Related lectures (28)

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

From STL to SLI and CLI

Explores the transformation process from .STL to .SLI and .CLI formats.

Symmetries in Plane Geometry

Explores symmetries in plane geometry, including isometries, reflections, and practical applications in design.

Regular Pentagon Construction

Explores the construction of a regular pentagon using Euclid's method and discusses historical constructions by Euclid and Ptolemy.

Discrete Variables: Geometric Properties

Covers the geometric properties of discrete variables in geographic information systems, focusing on shape, location, and size indices.

Arc Length Approximation

Explores arc length calculation for curves and polygons inscribed in circles using trigonometry and parametric equations.

Configuration Interaction II: Correlation Energy and CSF's

Explores the calculation of correlation energy and CSF's in electronic structure calculations.

Basis Sets I

Explores the solution of the Schrödinger equation for many-electron systems using basis sets and the concept of basis functions.

Hartree-Fock: Roothan Equations

Covers the Hartree-Fock Roothaan Equations and different types of Hartree-Fock methods, discussing their performance.

Automatic Vectorization Techniques

Explores automation techniques for vectorizing objects using polygonization, edge detection, segment detection, and automatic tracing.

Division in Extreme and Mean Ratio: DEMR

Explores Division in Extreme and Mean Ratio (DEMR) for geometric constructions and its historical significance in art and architecture.

Automatic Vectorization: Summary

The lecture discusses the main types of automatic vectorization techniques.

Automatic Vectorization

Covers automatic vectorization in geographic information systems, including structure detection, polygonization, and automatic tracing.

Automatic Vectorization: Principles and Applications

Covers the potential and limits of automatic vectorization techniques for digitizing objects from scanned documents or images.

Constructibility of Regular Polygons

Explores the constructibility of regular polygons, Fermat numbers, historical conjectures, and the compass's fundamental role in geometric constructions.

Quadrature & Rectification

Explores the historical problems of quadrature, pi approximation, angle trisection, and the use of conchoid in architecture.

Polygons & Polyhedra: Regular & Starred

Explores polygons, polyhedra, regularity, and starred configurations in Euclidean geometry, highlighting historical context and limitations.

Symmetry in Geometry

Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.

Symmetries in Regular Polygons

Delves into the symmetries of regular polygons, including the dihedral group and left cosets in a finite group.

Theoretical Foundations of DFT

Explores the Hohenberg-Kohn Theorems, electron density distributions, and the variational principle in DFT.